The circumference of the circle is 6.28 .
What is a circle?Circle is a closed figure or curve that we get by drawing a line which passes through the points which are at an equal distance from a common point.
What is a perimeter?Perimeter of a closed figure is the total length of the line used for making that closed figure.
For example if we have three sticks of Length 2 cm, 3 cm, 5 cm. We make a triangle using the above sticks so the perimeter of the triangle will be
= 2+3+5= 10 cm
This indicates that total length of stick used to form the triangle is 10 cm.
For a circular figure its perimeter is known as circumference.
Now for the given question:
Diameter of the circle ( D ) = 2 yards.
π= 3.14 ( given in question)
Circumference of a circle = π×D
= 3.14×2
= 6.28
Hence circumference of the circle is 6.28 yards.
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I do not understand these questions please solve them for me
For the first scenario (choosing 3 balls from 1 to 9):
[tex]_{9}C_{3} = \frac{9!}{3!(9 - 3)!} [/tex]
For the second scenario (choosing 5 potato chips from 20):
[tex]_{20}C_{5} = \frac{20!}{5!(20 - 5)!} [/tex]
For the third scenario (choosing 2 team members as captain and co-captain from 24):
[tex]_{24}P_{2} = \frac{24!}{(24 - 2)!} [/tex]
The first situation is a combination. In a combination, the order of the items does not matter. In this game, it does not matter what order the 3 balls are in, as long as you have the correct numbers in a row. If you choose balls 1, 2, and 3, it's the same as if you choose 3, 2, and 1. A permutation, on the other hand, would require the order of the items to be specific. In this game, the order of the numbers doesn't matter, making it a combination.
The second situation is a combination. In this scenario, you are choosing 5 out of 20 different potato chips, and the order in which you choose them doesn't matter. Whether you choose chips 1, 2, 3, 4, and 5, or chips 5, 4, 3, 2, and 1, the combination is still the same.
The third situation is a permutation. In a permutation, the order of the items matters, meaning the first chosen person will be the captain and the second chosen person will be the co-captain. In this scenario, there are 24 people to choose from, and the order in which they are chosen determines their role as captain or co-captain. A combination, on the other hand, only cares about the items themselves, not the order in which they are chosen. In this scenario, the order matters, making it a permutation.
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2
5
9
10
Which statements are true? Select the two correct answers.
The square root of a positive number greater than 1 is less than the number.
The square root of a positive number is always less than half of the number itself.
The square root of a positive number less than 1 is less than the number.
The square root of a perfect square is not a whole number.
The square root of a positive number less than 1 is between 0 and 1.
TIME REM
38:-
Answer:
The square root of a positive number greater than 1 is less than the number The square root of a positive number is less than half of the number itselfHaving designed a binary adder, you are now ready to design a 2-bit by 2-bit unsigned binary multiplier. The multiplier takes two 2-bit inputs A[1:0] and B[1:0] and produces an output Y which is the product of A[1:0] and B [ 1:0]. The standard notation for this is: Y = A[1:0] B[1:0] What is the maximum value that can be represented in 2 bits for A(A[1:0])? What is the maximum value that can be represented in 2 bits for Z?(B[1:0])? What is the maximum possible value of Y? What is the number of required bits to represent the maximum value of Y? Write a truth table for the multiplier described above. You will have a four-input truth table with the inputs being A[l], A[0], B[l], and B{0}. Implement the third bit of output, Y[2] from the truth table using only AND, OR, and NOT gates.
The third bit of output, Y[2], can be implemented using AND, OR, and NOT gates to calculate the sum of the product of the first bits of both inputs, A[1] and B[1], plus the product of the second bits of both inputs, A[0] and B[0].
The maximum value that can be represented in 2 bits for A(A[1:0]) is 3, and the maximum value that can be represented in 2 bits for B[1:0] is also 3. The maximum possible value of Y is 9, which requires 4 bits to represent. The truth table for the multiplier is shown below:
A[1] A[0] B[1] B[0] Y[3] Y[2] Y[1] Y[0]
0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 1
0 0 1 0 0 0 1 0
0 0 1 1 0 0 1 1
0 1 0 0 0 0 0 0
0 1 0 1 0 0 0 1
0 1 1 0 0 0 1 0
0 1 1 1 0 0 1 1
1 0 0 0 0 0 0 0
1 0 0 1 0 0 0 1
1 0 1 0 0 0 1 0
1 0 1 1 0 0 1 1
1 1 0 0 0 1 0 0
1 1 0 1 0 1 0 1
1 1 1 0 0 1 1 0
1 1 1 1 1 1 1 1
The third bit of output, Y[2], can be implemented using AND, OR, and NOT gates as follows:
Y[2] = A[1] * B[1] + (A[1] + B[1]) * (A[0] * B[0])
This can be simplified to Y[2] = A[1] * B[1] + A[0] * B[0]. That is, the third bit of output Y[2] is equal to the product of the first bits of both inputs, A[1] and B[1], plus the product of the second bits of both inputs, A[0] and B[0].
The third bit of output, Y[2], can be implemented using AND, OR, and NOT gates to calculate the sum of the product of the first bits of both inputs, A[1] and B[1], plus the product of the second bits of both inputs, A[0] and B[0].
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PLEASE HELP MEE!!!! ASAP I BEG
Write a system of equations for this word problem. DO NOT SOLVE IT
Tickets to the movie theater are $5.50 for children
and $7.00 for adults. On Saturday, 1,250 people
attended the movie theater (adults and children)
The movie theater received $7,979 in ticket sales.
How many children and how many adults
attended the theater on Saturday?
Equation
TOPIC—
# of tickets—
$ earned—
Answer:
a + c = 1250
$7.00a + $5.50c = $7979
Step-by-step explanation:
Making the system of equations for the number of tickets involved how many attended and who attended
It's showing 1250 attended and children and adults showed up. Let's a = adults and c = children
a + c = 1250 <--- that's saying adults + children equal 1250
For $ earned, it involves how much each ticket was and the total cost
Looks like we have prices for a and c and the total cost which was 7979. Since adults were 7.00, we'll call that 7.00a. And for children it was 5.50, we'll call that 5.50c
Putting it together 7.00a + 5.50c = 7979 because all the $7.00 tickets plus all the $5.50 tickets cost $7979
A standard six-sided die is rolled 7 times. You are told that among the rolls, there was one 1, two 2's, and three 4's. How many possible sequences of rolls could there have been? (For example, 5, 1, 2, 2, 4, 4, 4 is one possible sequence. 4, 1, 4, 4, 2, 2, 4 is one possible sequence.)
The possible sequences of rolls are [tex]6^7[/tex].
What is sample space?It is the total number of possible outcomes from a given set.
We have,
Standard six-sided die:
The number of times the dice are rolled = 7 times.
Now,
Number of sides in a dice = 6
So,
The total possible outcomes.
= [tex]6^7[/tex]
Thus,
The possible sequences of rolls are [tex]6^7[/tex].
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Answer:
105
Step-by-step explanation:
First off, please don't simply copy this for your homework, as the only person that is harmed is you.
(7) (3)
(4) x (2) = 35 * 3 = 105
^
Is the ways to choose the positions of the 4
------------^
Is the way to choose the positions of the 1s and 2s.
What is the equation of the line that passes through the point (6, -3) and has a
slope of -?
The equation of the line that passes through the point (6, -3) and has a slope of {m} = - k is →
y = - kx + (6k - 3).
What is the equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
{m} → slope
{c} → y - intercept
Given is the line that passes through the point (6, -3) and has a slope of {m} = - k.
We can write the general equation as -
y = mx + c
Now -
{m} = - k .... Eq { 1 }
We can write -
y = - kx + c
For the point (6, - 3), we can write -
- 3 = - 6k + c
{c} = 6k - 3 .... Eq { 2 }
We can write the equation of the line as -
y = - kx + (6k - 3)
Therefore, the equation of the line that passes through the point (6, -3) and has a slope of {m} = - k is →
y = - kx + (6k - 3).
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Element X is a radioactive isotope such that its mass decreases by 51% every day. If
an experiment starts out with 150 grams of Element X, write a function to represent
the mass of the sample after t days, where the hourly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per hour, to the nearest
hundredth of a percent.
The percentage rate of change per hour to the nearest hundredth is 3%.
Function to represent decay is A(t)= 150×([tex].97^{t}[/tex]).
What is percentage?Percentage means out of hundred. If we want to calculate percentage the we have to make the fraction out of hundred.
It means that if same thing is distributed among 100 people how much a single person would get.
Now for the given question:
For radioactive decay the mathematical equation is
A(t) = A(0)[tex](1-r)^{t}[/tex]
where A(0) is the initial quantity = 150 gm. and r is the rate of decay = 51%
For hourly decay,
A(24)= A(0)(1-0.51) as 1 day has 24 hour and each day substance decay by 51%.
A(24)= A(0)×0.49
but,
A(24)= A(0)[tex](1-r)^{24}[/tex]
0.49A(0)=A(0)[tex](1-r)^{24}[/tex] (we do this to calculate r)
.049= [tex](1-r)^{24}[/tex]
1-r = [tex]\sqrt[24]{.49}[/tex]
1-r= 0.97
r = 1- 0.97
r= 0.03
r = 3%
Function for hourly decay,
A(t) = 150 ×[tex](1-r)^{t}[/tex]
A(t) = 150 ×[tex](1-0.03)^{t}[/tex]
A(t)= 150×([tex].97^{t}[/tex])
Hence, Hourly rate of decay is 3% and the equation for hourly rate o decay is A(t)=150×[tex].97^{t}[/tex].
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The concentration of a solution can be expressed in a number of ways. Identify which of the concentration expressions can also be used to describe a solution with a concentration of 1 mg/mL of solute. Assume the density of the solution is 1.00 g/mL. 109 g/L 10-3 ug/mL 109 ppm O 1g/L 10-mg/uL 103 ug/mL
The concentration of 1 mg/mL can be described as: 103 ug/mL and [tex]10^{9}[/tex] ppm.
The concentration of a solution can be expressed as the amount of solute in a given volume of the solution. The expression for concentration can be in terms of mass per volume, such as milligrams per milliliter (mg/mL) or grams per liter (g/L), or in terms of moles per volume, such as moles per liter (mol/L).
A concentration of 1 mg/mL means that there is 1 milligram of solute in every milliliter of the solution. This can be converted to micrograms per milliliter (ug/mL) by multiplying by 1000, giving us
[tex]1mg/mL=1000ug/mL=10^{6} ug/mL[/tex].
Parts per million (ppm) is another expression of concentration. To convert mg/mL to ppm, we need to know the density of the solution, which is given as 1.00 g/mL. We can use this density to convert the mass of solute to volume and then find the ratio of solute to solution volume.
[tex]1mg/mL=1mg/1mL=1g/1000mL=1/1000 g/mL= 10^{-3}g/mL\\[/tex]
So, [tex]1mg/mL=10^{-3}g/mL=10^{-3} *10^{6} mg/mL=10^{9} ppm[/tex].
Therefore, the concentration of 1 mg/mL can be expressed as: 103 ug/mL and [tex]10^{9}[/tex] ppm.
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Try This question out and I’ll give you brainliest
Answer:
x ≈ - 2.70 or x ≈ 2.03
Step-by-step explanation:
Given:
[tex]1.5x^2+x-8.2=0[/tex]
Solve:
Multiply both sides by 10:
[tex]1.5x^2\cdot \:10+x\cdot \:10-8.2\cdot \:10=0\cdot \:10[/tex]
[tex]15x^2+10x-82=0[/tex]
Quadratic Formula: [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Using the Quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Knowing that;
quadratic equation of the form: [tex]ax^2+bx+c=0[/tex]
a = 15
b = 10
c = -82
Plug it in:
[tex]=\frac{-10\pm \sqrt{10^2-4\cdot \:15\left(-82\right)}}{2\cdot \:15}[/tex]
[tex]=\frac{-10\pm \:2\sqrt{1255}}{2\cdot \:15}[/tex]
Separate the solutions since there are two:
[tex]x_1=\frac{-10+2\sqrt{1255}}{2\cdot \:15},\:x_2=\frac{-10-2\sqrt{1255}}{2\cdot \:15}[/tex]
[tex]=\frac{-10+2\sqrt{1255}}{30}[/tex]
[tex]=\frac{-5+\sqrt{1255}}{15}[/tex]
[tex]x=\frac{-5+\sqrt{1255}}{15},\:x=-\frac{5+\sqrt{1255}}{15}[/tex]
Which as a decimal is:
[tex]x=-\frac{5+\sqrt{1255}}{15}[/tex] ⇒ [tex]\left\mathrm Decimal}:\quad x=-2.69506\dots \right[/tex]
[tex]x=\frac{-5+\sqrt{1255}}{15}[/tex] ⇒ [tex]\left\mathrm{Decimal}:\quad x=2.02839\dots \right[/tex]
Rounding:
-2.69506.. ≈ -2.70
2.02839.. ≈ 2.03
Hence, x ≈ - 2.70 or x ≈ 2.03.
RevyBreeze
A lab technician observed 5 bacteria growing in a lab dish. One hour later he observed 25 bacteria. Every hour he notice about 5 times as many as the hour before. After several hours of observation, he determined the lab dish had 5 to the power of 9 bacteria. Use a calculator to find the number in standard form that represents the bacteria in the lab dish.
After several hours of observation, he determined the lab dish had 1953125 bacteria.
What is Number system?A number system is defined as a system of writing to express numbers.
Given that A lab technician observed 5 bacteria growing in a lab dish.
One hour later he observed 25 bacteria.
Every hour he notice about 5 times as many as the hour before.
After several hours of observation, he determined the lab dish had 5 to the power of 9 bacteria.
5⁹
Five to the power of nine
1953125
Hence, After several hours of observation, he determined the lab dish had 1953125 bacteria.
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Jeter has $60 in his savings account. His sister Callie has $125. Jeter plans on saving $5
of his allowance a week, while Callie plans on spending $10 each week. Which of the
following would be an equation you could use to find out when the two will have the
same amount of money.
Answer:
60 + 5x = 125 - 10x
Step-by-step explanation:
Jeter- 60 + 5x
Callie- 125 - 10x
Set them equal to each other to find out when they will equal the same amount
Answer:
The answer can be expressed in multiple forms
[tex]4.\overline3\overline3[/tex] weeks
[tex]4\frac{1}{3}[/tex] weeks
Step-by-step explanation:
Lets write down what we are given
Jeter Initial Amount = $60.00
Callie Initial Amount = $125.00
Deposit/Withdrawal Per Week
Jeter + $5.00
Callie - $10.00
We can set up an expression for Jeter's money
[tex]60+5w[/tex]
We can set up an expression for Callie's money
[tex]125-10w[/tex]
[tex]w[/tex] represents the number of weeks
We can set each expression equal to each other to find out when they will have the same amount of money.
[tex]60+6w=125-10w[/tex]
Lets solve for [tex]w[/tex].
Add [tex]10w[/tex] to both sides of the equation.
[tex]60+5w+10w=125-10w+10w[/tex]
Combine like terms and simplify.
[tex]60+15w=125[/tex]
Subtract 60 from both sides of the equation.
[tex]60+15w-60=125-60[/tex]
Evaluate the subtraction and simplify..
[tex]15w=65[/tex]
Divide both sides of the equation by 15.
[tex]\frac{15w}{15}=\frac{65}{15}[/tex]
Simplify the left side by cancelling the common factor of 15.
[tex]w=\frac{65}{15}[/tex]
[tex]w=\frac{13}{3}[/tex]
[tex]w=4.3333[/tex]
[tex]w=4\frac{1}{3}[/tex]
Solve the system of equations. 3x + 4y = 12 2x + y = 8 (0, 3) (2, 3) (4, 0) (5, −2)
The system of equations has its solution to be (4, 0)
How to solve the system of equationsFrom the question, we have the following parameters that can be used in our computation:
. 3x + 4y = 12
2x + y = 8
Make y the subject
y = 8 - 2x
So, the second equation becomes
3x + 4(8 - 2x) = 12
Open the brackets
This gives
3x + 32 - 8x = 12
So, we have
-5x = -20
Divide
x = 4
Recall that
y = 8 - 2x
So, we have
y = 8 - 2(4)
y = 0
Hence, the solution is (4, 0)
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The principal of a large high school is concerned about the number of absences for students at his school. To investigates, he prints a list showing the number of absences during the last month for each of the 2500 students at the school. For this population of students, the distribution of absences last month is skewed to the right with a u = 1.1 and a o = 1.4. If a random sample of 50 students is selected from the list printed by the principal and the sample mean number of absences is calculated, then there is about a 95% chance that the sample mean will fall in which of these intervals. .902 to 1.298 .704 to 1.496 1.1 to 1.694 0 - 3 to 2.5 .506 to 1.1
The mean number of absences for the sample of 50 students will fall within this range.
The 95% confidence interval for the mean number of absences for the sample of 50 students can be calculated using the formula: X ± z*(σ/√n), where X is the sample mean, z is the critical value of the normal distribution at a 95% confidence level (1.96), σ is the population standard deviation (1.4), and n is the sample size (50). The confidence interval can be calculated as follows: X ± 1.96 (1.4/√50) = X ± 0.246. Therefore, the 95% confidence interval for the mean number of absences for the sample of 50 students is 0.902 to 1.296.
The formula can be interpreted as follows: the sample mean is likely to fall within the interval of 0.902 to 1.296, plus or minus 1.96 times the standard deviation of the population divided by the square root of the sample size. Since the population standard deviation is 1.4 and the sample size is 50, the interval is 0.902 to 1.296. This interval gives us a 95% confidence that the mean number of absences for the sample of 50 students will fall within this range.
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The Gallup-Health ways Well-Being Index is a survey that follows trends of U.S. residents on a regular basis. There are six areas of health and wellness covered in the survey: Life Evaluation, Emotional Health, Physical Health, Healthy Behavior, Work Environment, and Basic Access. Some of the questions used to measure the Index are listed below. Identify the type of data obtained from each question used in this survey: qualitative, quantitative discrete, or quantitative continuous.
a. Do you have any health problems that prevent you from doing any of the things people your age can normally do?
b. During the past 30 days, for about how many days did poor health keep you from doing your usual activities?
c. In the last seven days, on how many days did you exercise for 30 minutes or more?
d. Do you have health insurance coverage?
a. Qualitative b. Quantitative discrete c. Quantitative discrete d. Qualitative
Question a is qualitative because it does not ask for a numerical answer but rather for a yes or no response. Question b is quantitative discrete because it requires a numerical answer from the respondent, but the answer is limited to a range of possible values (0-30 days). Question c is quantitative discrete because it requires a numerical answer from the respondent, but the answer is limited to a range of possible values (0-7 days). Question d is qualitative because it does not ask for a numerical answer but rather for a yes or no response. All of these questions are part of the Gallup-Healthways Well-Being Index survey, which is used to track trends in U.S. residents' health and wellbeing on a regular basis. The survey covers six areas of health and wellness, and the questions used to measure the Index provide both qualitative and quantitative data.
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Find m angle EBD
Find m angle ABC
Check the picture below.
since we know the triangle EBD is an isosceles, that means that BE = BD, and twin sides will yield twin angles, so the ∡EBD is simply the difference of 180 - 57 - 57, as far as ∡ABC, well, that's just 19 + 66 + 19. ∡DBC is 19° because both triangles on left and right are congruent.
A list of numbers consists of p positive and n negative numbers. If a number is picked at random from this list, the probability that the number is positive is 3/5. What is the value of n/p?
The value of n/p = 5n/3p.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Let's assume that the total number of numbers in the list is T. Therefore, p + n = T.
The probability of picking a positive number is 3/5.
So p/T = 3/5.
Ratio of the number of negative numbers to the number of positive numbers is n/p.
Divide the two equations we get
n/p = (n/T) / (p/T) = (n/T) / (3/5) = (5/3) * (n/T) = 5n/3p
Hence, the value of n/p = 5n/3p.
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List in order from least to greatest all the whole number factors of 28.
Pre-Algebra - MA3119 B-CR
Translations
Pre-Test Active
Which rule describes the translation below?
S
4
H
77
3
2
4
-5-1-3-1₁
2 ? †
5 6
1
23 4 5 X
The rule of translation is: (x, y) → (x - 5, y - 3)
Option A is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The coordinates are:
S = (1, 5)
T = (1, 1)
U = (4, 1)
And,
S' = (-4, 2)
T' = (-4, -2)
U' = (-1, -2)
We see that,
(1, 5) = (1 - 5, 5 - 3) = (-4, 2)
(1, 1) = (1 - 5, 1 - 3) = (-4, -2)
(4, 1) = (4 - 5, 1 - 3) = (-1, -2)
This is a translation of 5 units to the left and 3 units down.
Thus,
(x, y) → (x - 5, y - 3) is the rule of translation.
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Hi can someone please help me with these questions I'm really struggling with them!!!
Answer:
Step-by-step explanation:
∠ EGF=180-∠FGH
= 180-(180-112)
= 112°
∠LKM= 90= 8X -6
2(4X-3)=90
4X-3=45°
3)
22=4X-10
X=8
NR= 3(8) +6
= 30
please help for brainliest
The solution set of the inequality is (-7.5, 1), and the correct graph is the one in option A.
How to solve the inequality?Here we want to solve the inequality below:
-10 < 2x + 5 < 7
To solve this, we need to isolate the variable x, then we will get:
-10 < 2x + 5 < 7
-10 - 5 < 2x < 7 - 5
-15 < 2x < 2
-15/2 < x < 2/2
-7.5 < x < 1
So the solution set is (-7.5, 1)
So the graph of this will be a number line that starts at -7.5 and ends at 1, that would be the one in option a.
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Given m||n, find the value of x
Answer:
57 degrees
Step-by-step explanation:
Which is a feature of function g if g(x)=-f(x-4)?
For the function, the x-intercept of g(x) is at (5,0).
What is the function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
Given f(x) = ln(x)
and g(x) = -f(x - 4)
the function is
g(x) = -ln(x - 4)
when x = 5
g(x) = -ln(5 - 4)
g(x) = -ln1
g(x) = 0
the coordinates are (5, 0)
Hence the x-intercept is (5, 0).
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A company with 20 million shares earns $1.6 million one year and loses $2.6 million the next year. Find the per-share income for two years
Answer:
-0.05 per share (loss)
Step-by-step explanation:
2 years net loss = 1 mm
so EPS (earnings per share) = -1/20 = -0.05 per share loss
Find the exact perimeter of quadrilateral ABCD plotted below.
A(-3,2)
D(0,-6)
B(6,-2)
C(3,-6)
Perimeter of quadrilateral is 26.39 unit.
What is the distance between two points?Distance between two points with coordinates (x₁ , y₁) and (x₂ , y₂). is given by
D = √[(x₁ - x₂)² + (y₁ - y₂)²]
This formula is derived from the Pythagoras Theorem, as the points form a right triangle in plane, with the hypotenuse representing the distance between them.
Given,
Quadrilateral ABCD
A(-3,2)
D(0,-6)
B(6,-2)
C(3,-6)
Perimeter = distance between A and B + distance between B and C + distance between C and D + distance between D and A
Perimeter =
√[(-3 -6)² + (2 - -2)²] + √[(6 - 3)² + (-2 - -6)²] +
√[(3 - 0)² + (-6 - -6)²] + √[(0 - -3)² + (-6 - 2)²]
Perimeter = √[(-9)² + (4)²] + √[(3)² + (4)²] + √[(3)² + (0)²] + √[(3)² + (-8)²]
Perimeter = √[81 + 16] + √[9 + 16] + √[9 - 0] + √[9 + 64]
Perimeter = √[97] + √[25] + √9 + √[73]
Perimeter = 9.85 + 5 + 3 + 8.54
Perimeter = 26.39 unit
Hence, 26.39 unit is the perimeter of quadrilateral ABCD.
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in a boxplot, the dashed vertical line in the middle of the box represents which of the following measures of location?
Box plot is the use of a rectangle to represent data where the vertical sides of the rectangle represents the lower and upper quartile.
From the box plot,
The minimum is 153 cm
The first quartile is 168.4 cm
The second quartile is 174.2 cm
The third quartile is 183.9
The maximum is 195 cm
See attachment for the missing box plot.
There are 5 vertical lines in a box plot
The first represents the minimum value
The second represents the first quartile
The third represents the second quartile i.e. the median
The fourth represents the third quartile
The last represents the maximum quartile
From the attached box plot.
The first vertical line is 153 cm
The second vertical line is 168.4 cm
The third vertical line is 174.2 cm
The fourth vertical line is 183.9 cm
The firth vertical line is 195 cm
Hence:
The minimum is 153 cm
The first quartile is 168.4 cm
The second quartile is 174.2 cm
The third quartile is 183.9
The maximum is 195 cm
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PLEASE ANSWER SOON DON'T HAVE MUCH TIME!!!!!!!!!!!Figure 1 and figure 2 are right triangles. two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 4 units long What scale factor was used to produce Figure 2 from Figure 1? 3 4 3 over 4 4 over 3
The scale factor to produce figure {2} from figure {1} is -
{K} = 4/3.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller. Mathematically, we can write -
{K} = A/B
Given are two right triangles as figure {1} and {2}.
We can write the scale factor as the ration of the lengths of the legs as -
{K} = 4/3
Therefore, the scale factor to produce figure {2} from figure {1} is -
{K} = 4/3.
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Sandra is renting a car. She will pay a flat fee of $100 and she will also pay for each mile driven over 200 miles. The total amount she can expect to pay, in dollars can be represented by the function f(x) = 1.5x + 100, where x is the number of miles driven over 200. What is the inverse of this function? F-BF.4c
Group of answer choices
Answer:
The inverse of a function is the reflection of a function over the line y=x. Therefore, this will reflect the function over the line of symmetry.
As the line of symmetry in this case is the x-axis, the inverse function can be found by switching the x and y values.
So we have f(x) = 1.5x + 100, and the inverse function is therefore y=1.5x+100
Please let me know if this helps. :)
whats 1+1? please explain :)!
The value of 1+1 in base 10 is 2 and its value in base 2 is 10
What is addition?Addition in math is a process of combining two or more numbers. Addends are the numbers being added, and the result or the final answer we get after the process is called the sum.
For example if there 20 apples, 30mangoes and 40 cashews in a basket. The total number of fruits in the basket is obtained by adding all the fruits together.
This is means the total number of of fruit = 20+30+40 = 90 fruits.
Therefore 90 fruits are in the basket.
Similarly, the addition of 1 and 1 will give
1+1 = 2. This answer is in base 10.
1+1 can also be in base two and 1+1 in base 2 = 10
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. Solve for x x if m ⌢ = ( 12 x + 25 ) ∘ m VW ⌢ =(12x+25)
The required simplified value of the measure of the multiplication factor x in the circle is 2.25.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Arc VW = 12x + 25 °
∠VXW = 52°
According to the question,
Arc VW = ∠VXW
12x + 25 = 52
x = 52 - 25 / 12
x = 2.25
Thus, the required simplified value of the measure of the multiplication factor x in the circle is 2.25.
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If angle A=−130∘, what is the radian measure of A?
The radian measure of angle A is -13π/18.
What are angles?The construction of an angle is a type of geometric shape made by connecting two rays at their termini. Three letters that make up the shape of the angle can also be used to represent the angle, with the middle letter indicating the location of the angle (i.e.its vertex).
Given an angle A = -130°
to find the radian measure,
we know that,
1° = π/180 radians
-130° = -130(π/180)
-130° = -13π/18
Hence the value in radian is -13π/18.
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