The number of miles covered by the student is; 54.45 miles.
How many miles did the student cover?The college student in discuss incurs a total cost of $144.67.
On this note, the cost incurred over the miles covered can be determined as follows;
= $144.67 - $19.95 - $65.32
= $59.4
Hence, since the cost of one mile is $59.4, it follows that the number of miles covered is;
No. of miles = 54.9/0.99
= 54.45 miles.
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x+8=-(2x +1) Can you help
Please and thank you
ASAP PLS I NEED IT AND TY
Answer:
2
Step-by-step explanation:
to solve this equation you must find what you multiply A to to equal A'
you can solve this by dividing 18 by 9
18 / 9 = 2
that is your answer
triangle mno is shown. which triangle can be shown to be congruent to triangle mno with only the given information? explain your reasoning.
Answer: triangle 4 MNO≅JKL
Step-by-step explanation:
1. (-32) (-3) =? 2. (79) (-2) =?
Answer:
1. = 96
2. = -158
Step-by-step explanation:
When you multiply two negatives the answer is positive, and when you multiply one negative and one positive the answer is negative
A random sample of 95 seniors are asked whether they plan to attend Homecoming. Of these, 88 seniors said they will attend. What is the margin of error at 90% confidence and it’s interpretation?
A. 0.053; 90% of the time we will capture the true proportion of seniors who will attend homecoming within 0.053 of the population proportion.
B. 0.044; 90% of the time we will capture the true proportion of seniors who will attend homecoming within 0.044 of the population proportion.
C. 0.044; we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion
D. 0.053; we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.053 of the sample proportion
Option C: At margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.
What is the confidence Interval?
The formula for confidence interval of proportions is;
CI = p^ ± z√((p^(1 - p^)/n)
where;
CI is confidence interval
p^ is sample proportion
z is test statistic at confidence level
n is sample size
We are given;
n = 95
x = 88
Thus;
p^ = 88/95 = 0.9263
z at CL of 90% = 1.645
Now, margin of error is;
E = z√((p^(1 - p^)/n)
Thus;
E = 1.645√((0.9263(1 - 0.9263)/95)
E ≈ 0.044
Thus, at margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.
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WILL MARK BRAINLIST !!
Find the value of xº from the given figure applying the activity.
Answer:
total inner angle of quadrilateral is 360 so
66 is remaining angle.
Please mark me as brainlist answer.
You has promised. Don't broke promise that you will give brainlist answer.
Answer:
The sum of the interior angle of a quadrilateral is given by the formula
(n-2)×180°
n represent the number of sides
(4-2)×180°
2×180°
=360°
then equate the angle to 360°
need help with this! show work please!
Answer:
(a) 1/2
(b) $1,080,000
(c) 72°
Step-by-step explanation:
We have to find the ratio in which the money is being distributed
To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings
5 + 3 + 2 = 10
Chris's share = 5/10 = 1/2
Danny's share = 3/10
Evelyn's share = 2/10 = 1/5
Answers
(a) Fraction of Danny's share = 1/2
(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000
(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°
0.7+y=−1.34 Please solve it I tried 0.64 and it said it was incorrect.
Answer:
-2.04
Step-by-step explanation:
it'll be
-1.34 - 0.7 = y
- 2.04 = y
Ry+z/m-t=x. Solve for y
In linear equation, y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r} is simple form .
What is a formula for linear equations?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Ry+ z/m-t=x
Ry = x - z/m + t
[tex]y = \frac{x - \frac{z}{m}+ t }{r}[/tex]
[tex]y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r}[/tex]
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Your friend took an introductory statistics class last year and learned all about density curves. she tells you that two requirements of a density curve are:______.
The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.
Given that,
Two requirements of a density curve are to be determined.
A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.
Here,
The two requirements of a density curve should be,
a. The area under the density curve should be equal to 1.
b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.
Thus, the required requirement of the density curve is mentioned above.
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If you have the x and y components of a vector, which trigonometry function can you use to determine its angle relative to the x-axis?.
If we have the x and y components of a vector, the trigonometry function that can be used to determine its angle relative to the x-axis is cosine function.
For given question,
Let α be an angle between vector a and vector b.
The angles between two vectors is given by,
cos(α) = [tex]\frac{\vec a . \vec b}{|\vec a | | \vec b|}[/tex]
The x component of vector is usually denoted by [tex]\vec i[/tex]
Let vector be [tex]x\vec i + y\vec j[/tex]
Let [tex]\vec a=\vec i, ~ \vec b=x\vec i + y\vec j[/tex]
[tex]\vec a . \vec b=x[/tex]
[tex]|\vec a|=1[/tex]
[tex]|\vec b|=\sqrt{x^2+y^2}[/tex]
So, the angle between the vector and x-axis is [tex]cos^{-1}(\frac{x}{\sqrt{x^2+y^2} } )[/tex]
Therefore, if we have the x and y components of a vector, the trigonometry function that can be used to determine its angle relative to the x-axis is cosine function.
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Attribute data is data that logically can be only whole numbers and can be expressed as:_____.
Attribute data is data that logically can be only whole numbers and can be expressed as control charts.
What is Attribute data?Attribute data is information that is used to create control charts. This information can be used to generate a variety of chart systems, such as percent charts, charts displaying the number of affected units, count-per-unit charts, demerit charts, and quality score charts. In a nutshell, variable data is data in which quality is described quantitatively in terms of dimensions, weights, or other characteristics, whereas attribute data is data in which quality is described qualitatively in terms of measurements. Attribute data examples include sorting and counting the number of blemishes (defects) in a specific product and the number of nonconforming pieces (defectives). Assume we want to look into the quality of a bag of M&Ms.Therefore, attribute data is data that logically can be only whole numbers and can be expressed as control charts.
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a) x³y²if x = 2 and y = 4
Answer:
128
Step-by-step explanation:
x³y²if x = 2 and y = 4
x³*y²
[tex](2)^{3} * (4)^{2}[/tex]
(2*2*2)*(4*4)
(8)*(16)
128
Damian is making dumplings. If he uses 1/2
cup of dough for each dumpling, how many cups of dough does Damian need to make 16 dumplings? Express your answer in simplest form.
Answer:
8 cups
Step-by-step explanation:
Amount of cups of dough for each dumpling × Number of dumplings = Number of cups of dough
1/2 × 16 = 8
8 is the simplest form; cannot be simplified.
Hope this helps! ^^
Justin purchased a 20 pound pumpkin for $9.80. How much did she pay per pound? show your work!
Answer: so Justin pays 0.49 per pound for each pumpkin
Give me brainliest if it is correct
Step-by-step explanation: so Justin a 20 purchased a pound Pumpkin for 9.80 so first
you put [tex]\frac{9.8}{20}[/tex] and when you divide you get 0.49
please help me, i have a test soon :/
Answer:
-2 <= y <= 4
Step-by-step explanation:
-3 <= 2y + 1 <= 9
-4 <= 2y <= 8
-2 <= y <= 4
Answer:
-2 <= y <= 4
Step-by-step explanation:
-3 <= 2y + 1 <= 9
-4 <= 2y <= 8
-2 <= y <= 4
I am a number when increased by 3 , I become 15. Who am I?
Answer: Is 86 your welcome have a nice labor day
Step-by-step explanation:
gerry withdraws all the principal and interest after the first year and deposits it into another one year account at the same rate. what will his interest be for the second year? d. what will his balance be after two years ?
a. Interest of the first year = $26.93
b. Balance after the first year = $1256.93
c. Interest for the second year = $27.52
d. Balance after the second year = $1284.45
Although a part of your question is missing, you might refer to this full question: Gerry deposited $1230 in an account that pays 2.19% simple interest for one year.
a. How much interest will he earn in one year?
b. What will be his balance after one year?
c. Gerry withdraws all of the principal and interest after the first year and deposits into another one-year account at the same rate. What will be his interest for the second year?
d. What will his balance be after two years?
Principal = $1230
Rate = 2.19%
Formula to be used:
Simple interest = (P*R*T)/100
where P = principal
R = rate
T = time in years
Calculating interest for the first year:
S.I = (1230*2.19*1)/100
S.I = 26.93
So, he will earn $26.93 as interest in the first year
And balance after the first year will be $1256.93
Solving for the second year:
P = 1256.93
S.I = (1256.93*2.19*1)/100
= 27.52
So, interest for the second year will be $27.52
And balance after the second year will be $1284.45
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PLEASE HELP FAST!!
Select true or false:
The function -3(x + 2)(x - 5)³ > 0, when x < -2 or x > 5.
O True
O False
Answer:
false
Step-by-step explanation:
A cylinder has a height of 5 feet and a diameter of 2 feet. Which measurement is closest to the volume of the
cylinder in cubic feet?
62.8 ft³
15.7 ft3
78.5 ft3³
157.1 ft3
The measurement that is closest to the volume of the cylinder in cubic feet is: 15.7 Feet. (Option B)
Recall that volume is
V = πr²h
Given:
h = 5 feet
r = 2/2 = 1
Hence
V = 5 x 1 x 22/7
= 15.7142857143
Hence, the cylinders volume in cubic feet is given as:
[tex]$\approx$[/tex] 15.7 ft
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Answer: 15.7 ft3
Step-by-step explanation:
(4y - 15) 7y + x = 180
45% of what number is 90?
I believe the answer is 200.
Solve the equations. 1. 21-9 = 2.35 - 15 = 3.30 - 25 = 4.40 - 10 = 5.30 - 20 = 11.34 - 20 = 12. 22 - 12 = 13.30 - 10 = 14. 19-9- 15. 28 - 12 =
Answer:
12, 20, 5, 30, 10, 14, 10, 20, 10, 16
Step-by-step explanation:
1.) 21-9=12
2.)35-15=20
3.) 30-25=5
4.) 40-10=30
5.) 30-20=10
11.) 34-20=14
12.) 22-12=10
13.) 30-10=20
14.) 19-9=10
15.) 28-12=16
Which of the following is not a rational number?
A) The product of 14 and 0.833333...
B) The sum of 27 and 43
C) The product of 12 and 17−−√
D) The sum of 5+5√ and 14−5√
The product of 12 and √17 is not a rational number.
Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number.
In other words, p/q, where p and q are both integers and q ≠ 0, can be used to represent a rational number.Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.The product of ant two rational numbers is always a rational number , but product of a irrational number and a rational number is not a rational number.
Hence only the third option is correct.
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Write a function g whose graph represents a horizontal stretch by a factor of 4 followed by a reflection in the y-axis of the graph of f(x)=|x|.
The function is 4|x-4|.
It is required to find the function g.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The original function is:
f(x)=|x|
Translation 4 units to the right we get,
f(x-4)=|x-4|
Horizontal stretch by a factor of 4
Multiplying by 4, so:
g(x)=4f(x-4)=4|x-4|
Therefore, the function is 4|x-4|.
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the MAth question is on the image.
Answer:
a good estimation is 190
Step-by-step explanation:
(2x25)+(3x12)+(7x8)+(9x5)=187
187 rounds to 190
Answer: (a) 0-2 (b) 3.2
Step-by-step explanation:
modal = the number that appears the most
mean = average
(a) modal class interval: 0 - 2
(b) first, find the mean of each class interval (number of letters delivered):
1, 3.5, 6 and 9
1 x 25 = 25
3.5 x 12 = 42
6 x 8 = 48
9 x 5 =45
25 + 42 + 48 + 45 = 160
number of houses:
25 + 12 + 8 + 5 =50
mean:
160 / 50 = 3.2
A biologist recorded plant heights in centimeters:
23, 21, 3, 31, 27, 28, 32, 24, 30
The outlier is removed from the data set. By how many centimeters does
the range decrease? Help
Answer:
18 cm
Step-by-step explanation:
Range = Largest Number - Smallest Number
We know the following from the original data set:
Largest Number = 32 cm
Smallest Number = 3 cm
Original Range = 32 cm - 3 cm = 29 cm
The outlier is 3 cm because all the other numbers are relatively close to ine another in their 20s and 30s. If we remove 3 cm from the data set, we know the following:
Largest Number = 32 cm (Doesn't change)
Smallest Number = 21 cm
New Range = 32 cm - 21 cm = 11 cm
We can compare the two ranges by subtracting the larger range from the smaller range:
Range Difference = 29 cm - 11 cm = 18 cm
Therefore, the range decreases by 18 cm when we remove the outlier.
the desert temperature, h, oscillates daily between 40°f at 5am and 80°f at 5pm. write a possible formula for h, measured in hours from 5am, using the form h
The form of a periodic function is H(t) = 20cos(π/12(t+12))+ 60.
What do periodic functions mean?
A function that periodically returns to the same value. Despite the similarity in sound between periodic motion and oscillatory motion, not all periodic motions are oscillatory motion.
Since the values of H oscillates between two values, then the choices of the function are either sine or cosine. However, since the variable measures the time from 4 AM, and 4 AM represents the trough of the oscillation, then cosine is the more appropriate choice. Recall the form of a periodic function
y =A cos(B(x +C))+D
It is given that the peak of desert temperature is at 80F, and the lowest is 40F. Note that the distance between the two temperatures is
80F − 40F =40F
Since the amplitude is the distance from the middle line to either peak or trough, then it is half the distance from the trough to the peak. Hence
A = 40/2= 20
Notice that one full oscillation occurs after one day or 24 hours. Hence the period is
B =2π/24 = π/12
The graph of the cosine function begins at the peak, whereas the function needs to begin at the trough, since the variable t represents the number of hours after 4 AM. Thus, the graph must be shifted horizontally to the left one half-cycle, which is
C = 12
Since the original cosine function has the centerline at x= 0 the centerline of the function must be shifted by the number of units corresponding to the midway point of the peak and the trough. Hence
D= 80 + 40/2 = 120/2 = 60
ubstituting
A =20, B = π/12. C= 12 , and D= 60 into
The form of a periodic function
H(t) = 20cos(π/12(t+12))+ 60
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HEEYYY PLEASE ANSWER THIS I GOT COVID SO I DONT UNDERSTAND IT SINCE I CANT BE IN CLASS
You can just try out all the answers but I'll give you a solution.
We will expand out the middle term to 5x^2 - 30x - 6x + 36, then we group the first 2 terms together, and the last 2 terms together.
= 5x (x - 6) - 6(x - 6)
And we put x-6 out : (x-6)(5x-6) = 0
Now, we can just set the value of one bracket to 0 and find out the value of x, and do the same for the other one
x - 6 = 0 -> x = 6
5x - 6 = 0 -> x = 6/5
Because 6 is not a possible option, the answer is x = 1.2
Unir las operaciones con el mismo resultado
(Ignoren los resultados)
Answer:
Step-by-step explanation:
1.
1) =7+(-4)=3
2) =13-8=5
3) =11+5=16
4) =-5-9=-14
5) =-8-1=-9
6) =-1-(-7)=6
7) =-10+13=3
8) =15-7=8
9) =-2+6=4
10) =9-4=5
11) =-1-8=-9
2.
[tex]\sqrt{12.8+25.4}= \sqrt{38.2}\approx 6.18[/tex]