The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not; this statement is not correct;
A survey was carried out by visiting a student parking lot to estimate the number of red cars.
If a different sample of cars was picked, the proportion of red cars would most likely be different. This statement is correct.
The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not. This statement is not correct because you select only 100 cars to represent whole population that too without randomization;
Despite the fact that a random sample was obtained from cars in the parking lot, the sample may not be representative.
because the decision to park in that particular lot is typical of the cars driven by students self-selected.
If the sampled stall was empty, we can simply choose another stall at random to take its place because the stall being unoccupied is unlikely to be associated to a red car.
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To two decimal places,
√70
must lie between ____
and _____.
Answer:
between 8.36 and 8.37
Step-by-step explanation:
[tex]\sqrt{70} =8.3666[/tex]
Hope this helps
I cannot do this help me to this
we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.
How to identify if the triangles are similar?
Two figures are similar if the figures have the same shape, but different size.
So, one figure is a dilation/contraction of the other figure.
In this case of the triangles, two are similar if and only if all the correspondent internal angles have the same measure.
For the case of the image, the triangles:
RST and RUV
would be similar if and only if line ST and line UV are parallel, in that case we would get that the angles at S and U are equal, and the same for the angles at T and V.
In this particular case, there is no indication that ST and UV are parallel. (they may be, the may not be)
So we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.
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dam n bro uglier den a redneck on a sunday
Step-by-step explanation:
A muffin recipe calls for one 3rd cup of milk and one 4th cup of oil how much liquid is needed for the recipe?
3z+6+4z+9+8u combine like terms
Answer:
8u + 7z + 15
Step-by-step explanation:
Let's solve the problem,
→ 3z + 6 + 4z + 9 + 8u
→ 8u + (3z + 4z) + (6 + 9)
→ 8u + 7z + 15
Thus, solution is 8u + 7z + 15.
Answer:
8u±7z±15
Step-by-step explanation:
3z±6±4z±9±8u
8u±3z±4z±9±6
8u±7z±15
Hope its helpful for you
2(x-1)+5(x-9) Show your work please!
Step-by-step explanation:
2(x-1) + 5(x-9)
2x - 2 + 5x - 45
2x + 5x - 2 - 45
7x - 47
Answer:
2x -2 + 5x -45 7x -47
Step-by-step explanation:
2*x = 2x
2*-1 = -2
5*x =5x
5*-9 = -45
5. Please help and snow work
Answer:
-177
Step-by-step explanation:
Plug in the values into the equation.
-q(9)^2-(-6)^2+3(-20)
-81-36-60=-177.
How many revolutions will a bicycle wheel of diameter 26 inches make as the bicycle travels a distance of 4miles?
Answer:
about 3103
Step-by-step explanation:
Simplify the given expression. Write your answer with positive exponents.
(x^-4/ y^3)^-7
Step-by-step explanation:
(x^-4 / y³)^-7 = x²⁸ / y^-21 = x²⁸ / 1/y²¹ = x²⁸y²¹
What is the distance of this line segment?
Answer:
5 studs (3^3)
(3^3) = 5
Step-by-step explanation:
i need to find X i really dont feel like doing this
Answer:
x=80 degrees
Step-by-step explanation:
Since the angle is supplementary with the 100 degree angle, then the angles must equal 180 degrees.
[tex]180-100=80[/tex]
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0: μ = 12 against H1: μ < 12, using a random sample of four specimens. (a) What is the type I error probability if the critical region is defined as x < 11.5 kilograms? (b) Find β for the case in which the true mean elongation is 11.25 kilograms. (c) Find β for the case in which the true mean is 11.5 kilograms.
The Type I error's computed value is 0.02275 and The Type II error has a computed value of 0.50 based on probability.
What is probability?
The potential or opportunity of an event happening is known as probability. The probability is equal to the variety of possible outcomes. the estimated number of outcomes that could occur.(a) Type I error probability if the critical region is defined as x < 11.5 kilograms
[tex]P(Type\ Error)=P\ xbar < 11.5\ when\ mu=12)\\\\[/tex]
[tex]=P(Z < \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z < -2)\\\\=0.02275[/tex]
The Type I error's computed value is 0.02275.
Observe that there is a 2.275% likelihood of dismissing the null hypothesis if it is true based on the Type I error probability.
(b) β for the case in which the true mean elongation is 11.25 kilograms.
[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]
[tex]=P(Z \geq \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 1)\\\\= 1-P(Z < 1)\\\\=1-0.8413\\\\=0.1587[/tex]
The Type II error's computed value is 0.1587.
Observe that there is a 15.87% possibility of refusing to disprove the null hypothesis when it is untrue based on the Type II error probability.
(c) β for the case in which the true mean is 11.5 kilograms.
[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]
[tex]=P(Z \geq \frac{11.5-11.5}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 0)\\\\= 1-P(Z < 0)\\\\=1-0.50\\\\=0.50[/tex]
The Type II error has a computed value of 0.50.
Observe that there is a 50% possibility of neglecting to disprove the null hypothesis when it is untrue based on the Type II error probability.
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Find the value of x.
(4x12)°
(7x-28)
The value of x in the angles is 20
How to determine the value of x?The angles are given as
4x - 12 and 7x - 28
These angles are same side interior angles
So, we have
4x - 12 + 7x - 28 = 180
Collect the like terms
So, we have
4x + 7x - 12 - 28 = 180
Evaluate the like terms
So, we have
11x = 220
Divide both sides by 11
x= 20
Hence, the value of x in the angles is 20
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Camilo uses 32 ounces of filling to make empanadas de queso. He puts 8 empanadas on each of 3 trays. Write a fraction to show how many ounces of filling Camilo uses in each empanada.
Answer: The fraction that will show the number of ounces of filling Camilo uses is x = 32 ounces
Step-by-step explanation:
Calculation by using fractions method :
The number of ounces used is x = 32
The number of trays = 3
Number of empanadas on each tray = 8
Therefore, the total number of empanadas on the 3 trays
= 3×8
= 24
If x = empanadas
32 ounce = x
Therefore, the fraction that shows number of ounces of filling Camilo uses in each empanada is x = 32 ounces
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Work out the equation of the line passing through (0, -1) and parallel to the line y = 2x + 4.
Answer:
Y=2x-1
Step-by-step explanation:
(0,-1) parallel to y=2x + 4
parallel means the slope is the same (i.e m=2)
general equation would be
y=2x+k
now (0,-1) belongs to line where x=0 and y= -1
-1 =2(0)+k
-1 = k
hence k is -1
the equation is y=2x-1
Multiply (-1 13/14) x (1 5/9) what is the product? enter your answer in the box
Answer: -3
Step-by-step explanation:
turn mixed numbers into improper fractions, simplify, and solve- see attached
Answer:
-3
Step-by-step explanation:
to find the answer first turn both numbers into improper fractions
-1 13/14 becomes -27/14
1 5/9 becomes 14/9
now multiply them
[tex]\frac{-27}{14} * \frac{14}{9}[/tex]
you can cancel out the 14s
[tex]\frac{-27}{1} * \frac{1}{9}[/tex]
now divide 9 to the top of the first fraction and to the bottom of the second one
[tex]\frac{-3}{1} * \frac{1}{1}[/tex]
now multiply
-3/1 is your answer
that is basically -3
Is the power set of {2,3,4,5} a subset of the power set of {1,2,3,4,5,6}? Why or why not?
we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.
We are given a power set:
A = {1, 2, 3, 4, 5, 6}
We are also given another power set:
B = {2, 3, 4, 5}
We need to tell if B is a subset of A or not.
We can see that every element of B is a part of A as well.
So, we can say that B is a subset of A.
B ⊂ A
{2, 3, 4, 5} ⊂ {1, 2, 3, 4, 5, 6}
Therefore, we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.
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Brand Y Cola sponsors a survey of 15,559 residents of Texas to determine which brand of cola they prefer. Forty percent say they prefer Brand X, and 60 percent say they prefer Brand Y. Which of the following is the sample used for the survey ?
Answer:
6224 Brand X residents and 9335 Brand Y residents
Step-by-step explanation:
Total number of residents in the survey=15559
Residents that prefer Brand X=40%
Residents that prefer Brand Y=60%
Population sample?
Residents that prefer Brand X= 40/100 ×15559 =6223.6⇒6224 residents
Residents that prefer Brand Y= 60/100 × 15559 =9335.4⇒⇒9335 residents
Answer: B
Step-by-step explanation:
A chemist is using 357 milliliters of a solution of acid and water. If 18.1% of the solution is acid, how many milliliters of acid are there? Round your
answer to the nearest tenth.
milliliters
If 18.1 percent of the solution is acid, 64.07 milliliters of acid are there.
What is a percentage?
Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.Multiplying this fraction by 100 and adding a percent sign will get the percentage. Percentage Equals 100 * numerator / denominator.As per the question,
18.1 Percent of 357 ml of solution used is acid, therefore,
=(18.1/100)*357
= 64.07 ml of acid
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Find the slope of the line if it exists.
The slope of the line is 1.
What is slope?The slope of a line is the ratio of the amount that y increases as x increases some amount
To calculate the slope of the graph, we use the formula below.
Formula:
Slope (S) = (y₂-y₁)/(x₂-x₁)............ Equation 1From the question,
Given:
y₁ = 0y₂ = 4x₁ = -6x₂ = -2Substitute these values into equation 1
S = (4-0)/[-2-(-6)]S = 4/4S = 1Hence, the slope of the line is 1.
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What is the slope of the line that passes through the points (2, 8) and (-3, 14)?
Answer:
-6/5
Step-by-step explanation:
(14-8)÷(-3-2) = -6/5
Mary's birthday is between June 13 and June 23. The date of her birthday is not an even number. The sum of the digits is 3. When is Mary's birthday
Answer:
Step-by-step explanation:
possible two digit numbers with sum 3 are 03,12,21,30
only 21 is between 13 and 23.
Mary's birthday is June 21.
Find the value of "x" from the given figure...
[tex]....................[/tex]
Answer:
x = 21 cmStep-by-step explanation:
is a rhombus formed by 4 right triangles, let's consider the small / large couple
the triangle at the top and the triangle at the bottom are rectangles
we can solve with the Pythagorean theorem.
we find the side (cathetus) of the small onec² = 10² - 8²
c² = 100 - 64
c² = 36
c = √36
c = 6 cm
we find the side (cathetus) of the largestc² = 17² - 8²
c² = 289 - 64
c² = 225
c = √225
c = 15 cm
now we add the results and we have x6 + 15 =
21cm
Answer:
21 cm
Step-by-step explanation:
Let M be the point of intersection of the diagonals AD and BC.
[tex]\implies x=\sf AD=AM+MD[/tex]
As ΔAMD and ΔBMD are right triangles, use Pythagoras Theorem to work out the lengths of AM and MD.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.[tex]\begin{aligned}\implies \sf BM^2+AM^2 & =\sf AB^2\\\sf 8^2+AM^2 & = \sf 10^2\\\sf 64+AM^2 & = \sf 100\\\sf AM^2 & = \sf 100-64\\\sf AM^2 & = \sf 36\\\sf AM & = \sf \sqrt{36}\\\sf AM & = \sf 6\:\: cm\end{aligned}[/tex]
[tex]\begin{aligned}\implies \sf BM^2+MD^2 & =\sf BD^2\\\sf 8^2+MD^2 & = \sf 17^2\\\sf 64+MD^2 & = \sf 289\\\sf MD^2 & = \sf 289-64\\\sf MD^2 & = \sf 225\\\sf MD& = \sf \sqrt{225}\\\sf MD& = \sf 15\:\: cm\end{aligned}[/tex]
Therefore:
[tex]\begin{aligned}\implies x & =\sf AM+MD\\x & = \sf 6+15\\x & = \sf 21\:\:cm\end{aligned}[/tex]
So the value of [tex]x[/tex] from the given figure is 21 cm.
Solve: x0.09=0.81. Round to the hundredths place. Do not include "x=" in your answer.
The value of x in the equation x0.09 = 0.81 is 9
How to determine the value of x?The equation is given as
x0.09 = 0.81
Rewrite the above expression properly
So, we have:
x * 0.09 = 0.81
Divide both sides by 0.09
So, we have:
x = 0.81/0.09
Evaluate
x = 9
Hence, the value of x in the equation x0.09 = 0.81 is 9
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What is the area? 7 yd 6 yd
Answer:
Brainliest pls
Step-by-step explanation:
42sq yds
Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches he makes:
Number of batches 222 333 444
Sugar (\text{kg}kgstart text, k, g, end text) 0.60.60, point, 6 0.90.90, point, 9 1.21.21, point, 2
Chika has 2.25\,\text{kg}2.25kg2, point, 25, start text, k, g, end text of sugar, and she wants to make as many batches as possible for a bake sale. She can make partial batches, and she has more than enough of the other ingredients.
How many batches can Chika make?
Proportionately, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
What is proportion?Proportion is the ratio of a variable in the whole.
Proportion shows how much quantity is contained in a variable.
Proportions are represented in decimals, percentages, and fractions.
Data and Calculations:Number of Batches 2 3 4
Sugar (kg) 0.6 0.9 1.2
Proportion of sugar
per batch 0.3 0.3 0.3
Chika's sugar ingredient = 2.25 kg
The number of batches Chika can make = 7.5 (2.25/0.3)
Thus, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
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the temperature was 75 degrees. at noon, the temperature increased by 7. by evening the temperature decreased by 7
Answer:
75
Step-by-step explanation:
75 + 7 = 82
82 - 7 = 75
use the point and the slope to graph each line. Write the equation of each line. The line contains point (2,-2) and is perpendicular to a line with slope "-1"
Answer:
y = x - 4
Step-by-Step Explanation:
Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1 (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):y = mx + b-2 = 1(2) + b-2 = 2 + bSubtract 2 from both sides to solve for b:-2 - 2 = 2 - 2 + b-4 = bTherefore, the y-intercept (b) = -4.Hence, the equation of the perpendicular line is: y = x - 4
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as the first step in solving 3x-1=8, Stella multiplies by 1/3 on both sides. what advice would you give her about the procedure for solving equations
Answer:for solving equations your trying to get the x by itself so multiplying 1/3 on both sides doesn't eliminate 1 so that you can have 3x by itself
Step-by-step explanation:hope that helps
Graph g(x) = |x| − 3.
The graph shows an upward opening v-shaped graph with a vertex at negative 3 comma 0, which passes through negative 4 comma 1 and negative 2 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 3 comma 0, which passes through 2 comma 1 and 4 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma 3, which passes through negative 1 comma 4 and 1 comma 4.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma negative 3, which passes through negative 1 comma negative 2 and 1 comma negative 2.
The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
How to graph the equation of the function?The equation of the function is given as
g(x) = |x| - 3
The above function is an absolute value function.
The parent function of an absolute value function is
f(x) = |x|
This means that the function f(x) is translated to get to function g(x)
In this case, the function is f(x) is translated down by 3 units to get to function g(x)
So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
See attachment for the graph of g(x)
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You work in a nursery with
20 children aged 3 - 5 years.
Your current room size is
415m² and does not meet
floor space requirements.
The room needs to increase
in size by 11%.
How big should the room
be?
Answer:
The room should be 460.65 [tex]m^{2}[/tex].
Step-by-step explanation:
First, you have to convert the percentage to a fraction.
11% = 0.11
Then add one to that number.
0.11 + 1 = 1.11
Multiply the number with the original room size.
415 * 1.11 = 460.65 ([tex]m^{2}[/tex])