select the most appropriate response. in the construction of confidence intervals, if all other quantities are unchanged, a decrease in the sample size will lead to a interval.
If all other quantities are unchanged, a decrease in the sample size will lead to a wider confidence interval.
What is a sample size?
Sample size refers to the number of observations or measurements that are taken from a larger population as part of a statistical study. In statistical analysis, a sample is a subset of the population being studied, and the sample size is the number of observations or units of analysis included in the sample.
A decrease in the sample size will lead to a wider confidence interval in the construction of confidence intervals.
In statistical inference, a confidence interval is a range of values that is estimated to contain the true value of a population parameter with a certain level of confidence. The width of the confidence interval depends on several factors, including the sample size, the level of confidence, and the variability of the data.
In general, as the sample size increases, the precision of the estimate of the population parameter improves, and the width of the confidence interval decreases. Conversely, as the sample size decreases, the precision of the estimate decreases, and the width of the confidence interval increases.
Hence, if all other quantities are unchanged, a decrease in the sample size will lead to a wider confidence interval.
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Adrian bought 9 bags of chips for $29.25. What is the cost of a bag of chips, in dollars, if all the bags cost the same
Answer:
$3.25
Step-by-step explanation:
This is division
29.25 divided by 9
9 goes into 29.25 3 times
29.25-27=2.25
2.25 is 1/4 of 9
2.25*4=9 because 2*4=8 and .25*4=1 so 8+1=9
So the answer is 3 1/4 or $3.25
Which graph correctly shows the solution to the inequality 7x - 3/9 more than or equal to 8 - 2x
x ≥ 3, the value of x is greater than or equal to 3 is the solution of inequality (7x-3)/9 ≥ 8-2x, correct option is C.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
(7x - 3)/9 more than or equal to 8 - 2x
(7x-3)/9 ≥ 8-2x
7x-3 ≥ 9(8-2x)
7x-3 ≥ 72-18x
Add 18x on both sides
7x+18x-3 ≥ 72
25x-3 ≥ 72
Add 3 on both sides
25x ≥ 75
Divide both sides by 25
x ≥ 3
Hence, x ≥ 3, the value of x is greater than or equal to 3 is the solution of inequality (7x-3)/9 ≥ 8-2x, correct option is C.
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Which value of y is a solution of this inequality? 3y−4<11
Answer:
[tex]y<5[/tex]
Step-by-step explanation:
[tex]3y-4<11 \\ \\ 3y<15 \\ \\ y<5[/tex]
Which of the following relations are functions? Select all that apply.
A.
B.
C.
D.
Answer: first, second, and third images.
Step-by-step explanation:
to determine if something is a function, the domain must not have more than one answer in the range. My class calls it the y axis test, if you were to graph it, you cannot draw a line straight down that will go through two points. it's easy to understand with images like these, because all you need to know is that arrows cannot go from one number on the left to multiple on the right. Vice versa is a function, because it passes the y axis test.
What is the is number rounded to the
nearest hundredth.
3.2369
Answer:
3.24
Step-by-step explanation:
The Hundredth is the second decimal place
Since 6 is greater than 5, round up
One hundred samples of five data points were randomly selected from each of four populations. The medians of each population's samples were plotted as shown below. Another random sample was then taken from one of the populations and recorded as follows:
{1, 20, 5, 0, 5}
From which population was this sample MOST likely selected?
A. Population A
B. Population B
C. Population C
D. Population D
The population from which the sample was most likely selected is given as follows:
A. Population A.
How to obtain the population from which the data was most likely selected?To look at the population from which the samples were most likely selected, we look at the medians for each interval.
In a box and whisker plot, the median is the middle point between the bars of the data-set.
The sample taken is given as follows:
{1, 20, 5, 0, 5}
The sample can be ordered as follows:
0,1, 5, 5 and 20.
The median of the sample is the middle term, which is of 5.
The medians for each population are given as follows, from the box and whisker plots:
Population A: 5.Population B: 10.Population C: 15.Population D: 20.Due to the median of 5, the sample was most likely taken from Population A, and the first option is correct.
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Answer:
population a
Step-by-step explanation:
help!!!! what’s number 2??
Answer:
Step-by-step explanation:
no
Answer: y= mb + xe
Step-by-step explanation:
Glenwood High School is constructing a new concrete basketball court that will need 60 cubic yards of concrete. When mixed, one bag of concrete will fill 0.5 cubic yards. The school ordered more than enough concrete to completely fill in the court. Let x represent how many bags of concrete the school ordered. Which inequality describes the problem?
Answer:
The school ordered more than enough concrete to completely fill in the court, so the number of bags of concrete ordered, represented by x, must be greater than the number of cubic yards of concrete needed to fill the court. This can be represented by the inequality x > 60 cubic yards / 0.5 cubic yards/bag. Solving for x, we get x > 60 * 2 = 120. Therefore, the inequality that describes the problem is x > 120.
What is the value of x?
The midsegment has length 25 then the value of x exists 14.
What is meant by midsegment theorem?The length of the midsegment is half that of the base, according to the theorem.
A segment that joins the midpoints of two triangle's sides is referred to as a midsegment. According to the midsegment theorem, the third side of a triangle is parallel to the middle two sides of the triangle, and the midsegment is half its length.
Find the midpoints of two of any triangle's sides. A section joins these midpoints. This section will then be half the length of the third side and parallel to it.
The midsegment has length 25.
The base has length x.
x/2 = 25
simplifying the above equation, we get
x = 12.5
Therefore, the value of x exists 12.5.
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Does the point (8, 1) satisfy the inequality y
yes
no
[] + (9+8) = (15x9) + (15x8)
The value of the equation A + ( 9 + 8 ) = ( 15 x 9 ) + ( 15 x 8 ) is 238
where A = 238
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as = P
Now , the value of P is given by
Let the unknown variable in the equation be A
A + ( 9 + 8 ) = ( 15 x 9 ) + ( 15 x 8 )
On simplifying the equation , we get
The value of A + 17 = 135 + 120
On adding the values in the equation , we get
The value of A + 17 = 255
On subtracting 17 on both sides of the equation , we get
The value of A = 238
Therefore , the value of A is 238
Hence , The value of the equation A + ( 9 + 8 ) = ( 15 x 9 ) + ( 15 x 8 ) is 238
where A = 238
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Landon is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Landon scored a total of 24 points and made 2 more two point shots than three point shots. Graphically solve a system of equations in order to determine the number of two point shots made, x,x, and the number of three point shots made, yy.
Landon is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Landon scored a total of 24 points and made 2 more two point shots than three point shots. Graphically solve a system of equations in order to determine the number of two point shots made, x, and the number of three point shots made, y.
x = the number of two point shots made
y = the number of three point shots made
Each two point shot scores 2 points, so x two point shots would score 2x points. Each three point shot scores 3 points, so y three point shots would score 3y points.
Therefore, the total number of points scored 2x + 3y equals 24 :
2x+3y=24
Since Landon made 2 more two point shots than three point shots, if we add 2 to the number of three point shots made, we will get the number of two point shots made, meaning x equals y + 2.
x = y + 2
Write System of Equations:
2x + 3y = 24
x = y + 2
Solve for y in each equation:
Given the function of f (x) = 2|x + 6| - 4 for what values of x is f (x) = 6
Answer:
2-23x
Step-by-step explanation:
If the two bikes are racing a distance of 100 feet, which bike will win the race?
O Bike 2 will win because the slope of the line for Bike 2 is, which is greater than the slope of the line for Bike 1.
O Bike 2 will win because the slope of the line for Bike 2 is 5, which is greater than the slope of the line for Bike 1.
2
O Bike 1 will win because the slope of the line for Bike 1 is3, which is greater than the slope of the line for Bike 2.
O Bike 1 will win because the slope of the line for Bike 1 is , which is greater than the slope of the line for Bike 2.
If the two bikes are racing a distance of 100 feet, the bike that will win the race is: D. Bike 1 will win because the slope of the line for Bike 1 is 3/2, which is greater than the slope of the line for Bike 2.
How to calculate the slope of a straight line?Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Next, we would calculate the slope of the line representing the distance covered by each of the bikes based on the data points on their graph.
For Bike 1, the slope is given by;
Slope, m = (6 - 3)/(4 - 2)
Slope, m = 3/2
Slope, m = 1.5.
For Bike 2, the slope is given by;
Slope, m = (10 - 5)/(8 - 4)
Slope, m = 5/4
Slope, m = 1.25.
Therefore, the slope of Bike 1 is greater than the slope of Bike 2.
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Determine which of the expressions could be used to represent the followi
Divide the difference between 96 and 72 by 12.
Select all that apply.
A. (96-72) 12
OB. 96 (72 ÷ 12)
C. (9612) 72
OD. 24 12
E. 96 ÷ 6
-
The difference between 96 and 72 by 12 can be expressed as
(96 - 72) / 12 and 24 / 12.
What is an expression?A mathematical expression is a sentence that contains at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all possible math operations.Monomial expressions are the most common type of algebraic expression. Expression of a binomial. Expression of a polynomial.We have to find the difference between between 96 and 72 by 12.
The difference between 96 and 72 can be expressed as,
96 -72
= 24
Next we have to divide the answer that is 24 by 12.
It becomes,
24/12
= 2
As a result, the required expressions for the following calculation is:
(96 - 72) / 12 and 24 / 12.
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PLS HELP I don’t know the answer
Answer:
18
Step-by-step explanation:
144 / 4 = 72
each side is 72
72/4 = 18
Answer: 4x = 9
Step-by-step explanation: please help with this if you can! It’s due in 15 minutes!!
Solve equation:
3 + 7(6 +2x) = 157
We move all the characters to the left:
3+7(6+2x)-(157)=0We add all the numbers and all the variables.
7(2x+6)+3-157=0We add all the numbers and all the variables.
7(2x+6)-154=0Multiply
14x+42-154=0We add all the numbers and all the variables.
14x-112=0We move all terms containing x to the left side, all other terms to the right side
14x=112x=112/14x=8Answer:
x = 8
Step-by-step explanation:
Suppose the heights of a population of male giraffes are normally distributed with an unknown population mean and a population standard deviation of 3.4 feet. A random sample of male giraffes from the population produces a sample mean height of § = 15.2 feet.
What value of z should be used to calculate a confidence interval with a 90% confidence level?
Answer:
Step-by-step explanation:
Here we have:
90% confidence level:
α=1-0.90=0.10
[tex]Z_{crit}=z_{\alpha /2}=z_{0.10/2}=1.645[/tex]
Hence the required Z value at 90% confidence level is 1.645
A grocery store has small bags of apples for $5 and large bags of apples for $7. If you buy 8
bags and spend $46, how many of each size bag did you buy?
Answer: 5 small bags and 3 large bags
Step-by-step explanation: 5+5+5+5+5=25 7+7+7=21 21+25=46
Which equation is equivalent to the formula m=ca
The equivalent equation for the given equation m = ca is a = m/c. The equivalent equation has no effect on the original equation's actual function.
What is an equivalent equation?An equivalent equation is one that yields the same solution as the original equation.
The equivalent equation is obtained by removing a variable from the given equation. There will be the same number of equivalent equations as there are variables in an equation.
Given that,
m = ca
Here m, c, and a are the three variables in the given equation.
We can write the equation into two more forms as follows:
W.r.t variable 'c',
m = ca
Dividing both sides by 'a'
⇒ ca/a = m/a
c = m/a
W.r.t variable 'a',
m = ca
Dividing both sides by 'c'
⇒ ca/c = m/c
a = m/c
The missing image is attached with the answer.
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. A fixed asset is purchased for Rs.1 lac with
excepted useful life of 5 years. Its depreciated
value at the end of 3rd year will be Rs.
If it is sold for Rs.45000, the firm will make
profit/loss of Rs.
Answer:
The profit or loss on selling a fixed asset will be
Step-by-step explanation:
We know that,
Depreciation = Original value - Scrap value / Estimated life of an asset
-> 100,000 - 0/ 5
= Rs 20,000 for every year
for 3 years,
Depreciation= 3 * 20,000 = Rs 60,000
The value of the asset after 3 years of depreciation = 100,000- 60,000
=Rs 40,000 ---(1)
If it is sold for Rs 45,000 ---(2)
Profit = (2) - (1)
= 45,000-40000
= Rs 5,000
4x²-14x+14x-49 factor by grouping
Answer:
x= 3.5 and x= -3.5
Step-by-step explanation:
4x^2 -49=0
x^2=49/4
x= 3.5 and -3.5
What is true about the angles in the diagram shown below?
Triangle A B C is shown. Segment D E goes from side A B to side A C forming triangle A D E. Angle A E D and angle A C B have right angle labels. Angle A is labeled x degrees. Angle B is labeled three x degrees.
Enter the correct answers in the boxes.
The value of x is
.
The measure of ∠ADE is
°.
The measure of x is 22.5 and the angle ADE is 67.5 degrees
How to determine the value of x?The complete question is added at the end of this solution as an attachment
From the question, we have the following angle measures that can be used in our computation:
Angle A = x
Angle B = 3x
The sum of angles in a triangle is 180
So, we have
x + 3x + 90 = 180
Evaluate the like terms
4x = 90
Divide by 4
x = 22.5
How to determine the value of ADE?From the attached figure, we have
Angle ADE = Angle B
So, we have
Angle ADE = 3x
This gives
Angle ADE = 3 x 22.5
Evaluate
Angle ADE = 67.5
Hence. the angle is 67.5 degrees
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50 POINTSSSSSS ASAP!!!!
Quadrilateral RUST has a vertex at T (5, 2).
An image displaying a quadrilateral RUST.The vertex of R is R of 1 comma 5.
What are the coordinates of T' after the translation (x, y) → (x – 1, y + 2), followed by a dilation by a scale factor of 2, centered at the origin?
A.
(8, 8)
B.
(6, 2)
C.
(4, 4)
D.
(10, 4)
The coordinates of T' after the transformations are given as follows:
A. T'(8,8).
How to obtain the coordinates of the image of T?The coordinates of T are given as follows:
T(5,2).
Meaning that:
It has a x-coordinate of 5.It has a y-coordinate of 2.Then the translation is given as follows:
(x, y) → (x – 1, y + 2).
Meaning that the translated coordinates are of:
T'(5 - 1, 2 + 2) = T'(4, 4).
(as one was subtracted from the x-coordinate and 2 was added to the y-coordinate).
Then the dilation by a scale factor of 2 means that each of the coordinates is multiplied by two, hence:
T'(8,8).
Meaning that option A gives the correct coordinates of the image of the vertex T of the quadrilateral.
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Answer:
8,10
Step-by-step explanation:
i took the test
Find the slope of the line that passes through (1, 6) and (4, 24).
Answer:
y = 6x
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]\frac{24-6}{4-1}[/tex]
[tex]\frac{18}{3}[/tex]
m = 6
y = mx + b
y = 6x + b
6 = 6(1) + b
6 = 6
b = 0
PLS HELP ASAP! Which statement is true about the ratios comparing the width and length of each
The paintings' width to length ratios are equal because the ratio 9 to 6 is equal to the ratio 2 to 3.
The paintings' width to length ratios are different because the ratio 3 to 2 is not equal to 9 to 6.
The paintings' width to length ratios are equal because the ratio 6 to 9 is equal to the ratio 2 to 3.
The paintings' width to length ratios are different because the ratio 6 to 9 is not equal to 2 to 3.
The paintings' width-to-length ratios are different because the ratio 3 to 2 is not equal to 9 to 6. The correct option is B.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The width-to-length ratios of the paintings differ because 3 to 2 is not equal to 9 to 6.
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Find the length of the third side. If necessary, round to the nearest tenth.
9. 5 I need the answer ASAP
Answer:
10.3 units------------------------
Let the missing side be x.
Use Pythagorean to find its value:
x² = 9² + 5²x² = 81 + 25x² = 106x = √106x = 10.295 ≈ 10.3 units
If you can make payments of $450 on a 5-year loan that has an APR of 6.5%,
what is the maximum loan amount you can afford?
Answer:
To determine the maximum loan amount you can afford, you need to know the amount of your monthly payment and the annual percentage rate (APR) of the loan. The APR is the interest rate of the loan, expressed as a yearly rate. It takes into account not only the interest rate, but also any fees or other charges associated with the loan.
In this case, you know that you can make monthly payments of $450 and that the APR of the loan is 6.5%. To determine the maximum loan amount you can afford, you can use the following formula:
Maximum loan amount = (Monthly payment / (APR / 100 / 12)) * (1 - (1 + (APR / 100 / 12))^-n)
where n is the number of monthly payments. In this case, you are taking out a 5-year loan, which means you will make 60 monthly payments (5 years * 12 months/year = 60 months), so n = 60. Plugging these values into the formula, we have
Maximum loan amount = ($450 / (6.5% / 100 / 12)) * (1 - (1 + (6.5% / 100 / 12))^-60)
= ($450 / 0.00542) * (1 - (1 + 0.00542)^-60)
= $83,146.54
Therefore, the maximum loan amount you can afford is $83,146.54. This is the maximum amount you can borrow, assuming that you make monthly payments of $450 and the APR of the loan is 6.5%. You should carefully consider your ability to make these monthly payments before taking out a loan of this amount.
Step-by-step explanation:
Answer: Monthly Payment: $8.80
Total Interest Paid: $78.29
Total Paid: $528.29
Step-by-step explanation:
Determine the APR.
1. Helen Olson needs an installment loan of $999.00. She must repay the loan in 24 months. The monthly
payment is $44.96.
Answer:
Based on the information you provided, it seems that Helen Olson is looking to take out a loan for $999.00 and will need to make monthly payments of $44.96 in order to repay the loan within 24 months. It is important for Helen to carefully consider the terms of the loan, including the interest rate and any fees that may be associated with the loan, to ensure that she is able to make the monthly payments and repay the loan in full within the agreed-upon time frame. It may also be helpful for Helen to create a budget and plan for how she will manage her finances to make sure she has enough money each month to make the loan payments.