Find the minimum and maximum possible areas for a rectangle with the following measured area.


6 in. × 9 in.


A.
46.75 in.2, 61.75 in.2


B.
53.5 in.2, 54.5 in.2


C.
40.0 in.2, 54 in.2


D.
40.5 in.2, 54.5 in.2

In a sample of 28 participants, suppose we conduct an analysis of regression with one predictor variable. If Fobt= 4.28, then the decision for this test at a .05 level of significance is there is not enough information to answer this question, option C.

To determine the decision for a regression analysis with one predictor variable at a 0.05 level of significance, we need to compare the observed F-statistic (Fobt) with the critical F-value.

Since the degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 26 (28 participants - 2 parameters estimated), we can find the critical F-value from the F-distribution table or using statistical software.

Let's assume that the critical F-value at a 0.05 level of significance for this test is Fcrit.

If Fobt > Fcrit, then we reject the null hypothesis and conclude that X significantly predicts Y.

If Fobt ≤ Fcrit, then we fail to reject the null hypothesis and conclude that X does not significantly predict Y.

Since the information about the critical F-value is not provided, we cannot determine the decision for this test at a 0.05 level of significance. Therefore, the correct answer is C) There is not enough information to answer this question.

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Answer:

I believe the answer is 161616

Answer:

202020 hours

Step-by-step explanation:

So, if it took Mabel 444 hrs. to edit a 333 min. video, then we need to link that up to 151515. Let's start by dividing 333 into 151515.

151515 / 333 = 455.

If that's the case, then it should take her x455 more hours to edit that longer video of 151515 min.

444 x 455 = 202020.

Hope this helps. (PS that's a long time, oh snap.)

Answer: The answer is B 12

Step-by-step explanation:

Answer:

Dylan's credit card account has decreased by 29%.

Step-by-step explanation:

You first have to subtract:

$575.00 - $408.25 = $166.75.

You then have to divide the amount decreased by the total amount.

$166.75 / $575.00 = 0.29 = 29%

29% is the amount decreased in the credit card account.

Answer:

To find the amount after the discount you have to multiply 7.5 by 0.75, Using a calculator would be faster but you can also do it by hand. The answer is 5.625

Step-by-step explanation:

To find the answer you need to do multiplication.

Use this form to do it more easily.

  7.5

*  0.75      

   0.375

+ 5.25

then you add

5.625

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

a. Null hypothesis (H0): The standard deviation of SAT verbal scores is 110.
Alternative hypothesis (H1): The standard deviation of SAT verbal scores is not equal to 110.

b. We cannot determine if a Type II error occurred without knowing the results of the hypothesis test.

c. This is a two-tailed test (TTT) because the alternative hypothesis is not equal to the null hypothesis.

d. We will use a two-tailed z-test for the standard deviation.

e. The critical value for a two-tailed z-test at α = 0.05 is ±1.96. The rejection region is any z-score less than -1.96 or greater than +1.96.

f. The standardized test statistic formula is:
z = (s - σ) / (σ / sqrt(n))
where s is the sample standard deviation, σ is the hypothesized population standard deviation, and n is the sample size.

Substituting the given values, we get:
z = (120 - 110) / (110 / sqrt(15)) = 1.65

g. Since the calculated z-score of 1.65 is not in the rejection region, we fail to reject the null hypothesis. Therefore, we cannot accept the administrator's claim that the standard deviation of SAT verbal scores is 110.

h. Interpretation: At α=0.05, we fail to reject the null hypothesis and do not have sufficient evidence to support the administrator's claim that the standard deviation of SAT verbal scores is 110.
Hi there! I'd be happy to help you with your question. Let's break down the components of the hypothesis test for the SAT verbal scores.

a. Claim (H0): The null hypothesis (H0) is that the population standard deviation (σ) is equal to 110, as stated by the administrator.

b. Since we are testing the standard deviation, a Type II error would occur if we fail to reject the null hypothesis when the true standard deviation is not 110.

c. This will be a two-tailed test (TTT), as we are looking for a difference in the standard deviation, either higher or lower than the claimed value.

d. We will use the Chi-Square test for hypothesis testing because we are testing the variance (or standard deviation) of a normally distributed population.

e. Critical value and Rejection region: At α = 0.05 and degrees of freedom (df) = n - 1 = 15 - 1 = 14, the critical values for the chi-square distribution are χ²(0.025,14) = 23.68 and χ²(0.975,14) = 6.57. The rejection region will be χ² > 23.68 or χ² < 6.57.

f. Standardized test statistic:
χ² = [(n - 1) * s²] / σ² = [(15 - 1) * (120)²] / (110)² = 14 * 14400 / 12100 = 201.65

g. Decision: Since 201.65 falls outside of the rejection region (201.65 > 23.68), we reject the null hypothesis.

h.At α = 0.05, we have enough evidence to conclude that the standard deviation of SAT verbal scores is significantly different from 110.

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If the standard length of one kind of nail is 5 cm, and we want to test whether the nails produced on a particular day fit the standard requirement, we would set up the following hypotheses:

Null hypothesis (H0): The mean length of nails produced on the particular day is equal to the standard length of 5 cm.
Alternative hypothesis (Ha): The mean length of nails produced on the particular day is not equal to the standard length of 5 cm.

To test these hypotheses, we would take a sample of nails produced on the particular day and measure their lengths. We would then calculate the sample mean and compare it to the standard length of 5 cm using a hypothesis test.

In conclusion, If the sample mean is significantly different from the standard length, we would reject the null hypothesis and conclude that the nails produced on the particular day do not meet the standard length requirement. If the sample mean is not significantly different from the standard length, we would fail to reject the null hypothesis and conclude that the nails produced on the particular day meet the standard length requirement.

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The amount of 10% alcohol solution in 50 ml alcohol solution is 30ml and amount 15% alcohol solution is 20ml.

In the given question

Bruce wants to make 50ml solution with 12 % concentration.

and he has 10% and 15% alcohol solution for that .

Let the amount of 10% alcohol solution = x

Let the amount of 15% alcohol solution = y

Given that x+y=50    ...(i)

According to the question the equation to find the 10% solution will be

0.10x + 0.15(50 – x) = 0.12(50)

Solving further we get

0.10x + 7.5 - 0.15x = 6

-0.05x + 7.5 = 6

-0.05x = 6 - 7.5

-0.05x = -1.5

x = -1.5/-0.05

x=30

So , 10% solution is 30 ml

Substituting the value of x=30 in equation (i)  we get

30 + y = 50

y = 20

So , 15% solution is 20 ml

Therefore , the amount of 10% alcohol solution in 50 ml solution is 30ml and amount 15% alcohol solution is 20ml.

The given question is incomplete , the complete question is

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.

How much of the 10% alcohol solution should Bruce use?

How much of the 15% alcohol solution should Bruce use?

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Answer:

14

Step-by-step explanation:

\( \sin \: 30 \degree = \frac{7}{x} \\ \\ \frac{1}{2} = \frac{7}{x} \\ \\ x = 2 \times 7 \\ \\ x = 14\)

Answer:

The volume of the prism is 96 cubic meters.

Step-by-step explanation:

The formula for the volume of a prism is V=l*w*h.

In this case, the length is 6, the width is 3 3/7, and the height is 4 2/3.

All you have to do is plug it into the formula.

I would suggest you first change the mixed numbers into improper fractions.

3 3/7 = 24/7

4 2/3 = 14/3.

6 can be changed into 6/1. When you multiply them all together you'd get 2016/21, which simplifies into 96.

Have a great day! :>

Step-by-step explanation:

easy union means all the element from small to big

Answer:

Step-by-step explanation:

The future value (A) is approximately 5610.2 for the given investment and annu $4000 for 5 years at 7% compounded annually

To find the compound amount and compound interest rate for the given investment, we can use the formula for compound interest:

(a) The compound amount in the account after 5 years can be calculated using the formula:

A = P(1 + r/n)^(nt)

Where A is the compound amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal (P) is $4000, the interest rate ® is 7%, and the interest is compounded annually (n = 1), and the investment is for 5 years (t = 5), we can plug these values into the formula:

A = 4000(1 + 0.07/1)^(1*5)

A = 4000(1 + 0.07/1)^(1*5)

= 4000(1 + 0.07)^(5)

= 4000(1.07)^(5)

≈ 4000(1.402551)

≈ 5610.20

Therefore, the future value (A) is approximately 5610.2

Calculating this expression will give us the compound amount after 5 years.

(b) The compound interest earned can be calculated by subtracting the principal from the compound amount:

Compound interest = Compound amount – Principa

This will give us the total interest earned over the 5-year period.

By evaluating the expressions in (a) and (b), we can determine the compound amount and the compound interest earned for the given investment.

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Answer:

4/3v + 4 = 8

Step-by-step explanation:

The second option is the correct one because you will combine the like terms first.

Hope this helps, thank you !!

Answer:

1/3 or 0.3 (repeating decimal)

Step-by-step explanation:

The subtraction the fractions gives 1/3.

The fractions include two parts, numerator and denominator.

Numerator: It is the upper part of the fraction, that represents the sections of the fraction.

Denominator: It is the lower or bottom part that represents the total parts in which the fraction is divided.

Given that are two fractions 1/2 and 1/6, we need to subtract them,

Firstly, equating the denominators,

1/2 = 6/12

1/6 = 2/12

Therefore,

1/2 - 1/6 = 6/12 - 2/12

= (6-2)/12

= 4/12

= 1/3

Hence on subtracting the fractions we get 1/3.

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Answer:

x=4

Step-by-step explanation:

x-10= -6

 +10 +10

x   =   4

Answer:

\(x=14\)

Step-by-step explanation:

Since lines \(\overrightarrow{f}\) and \(\overrightarrow{g}\) are parallel, the angles labelled in the diagram must be supplementary (add up to \(180^{\circ}\)). Therefore, we have the following equation:

\(4x+(7x+26)=180,\\11x+26=180,\\11x=154,\\x=\boxed{14}\)

Answer:

21.1111 m/s

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using proportion to find the teachers required x, then

\(\frac{221}{272}\) = \(\frac{13}{x}\) ( cross- multiply )

221x = 3536 ( divide both sides by 221 )

x = 16

The number of teachers required this year is 16

Answer:

For other people it is ON EDGE 2020

Step-by-step explanation:

C i reapeat it is C

Answer:

Step-by-step explanation:

D. the number of people eating a pizza and the number of slices per person.  As this number increases, the number of slices each person can take drops.

Answer:

y = 9

Step-by-step explanation:

y-y1 = m(x-x1)

m is the slope =y2-y1/x2-x1=9-9/-2-3=0

pick any number out of the given two for (x1, x2)

y-9 = 0*(x-3) so

y-9 = 0 add 9 to both sides

y = 9

a. We would expect either 5 or 6 jurors to be Hispanic.

b. The proportion of the jury that is Hispanic is 0.0833.

c. The probability that 1 or fewer jurors would be Hispanic is approximately 0.0358.

If the population from which the jurors are selected is known to be 45% Hispanic, then we can expect that approximately 45% of the jurors selected will also be Hispanic. Since 12 jurors are selected, we can expect approximately 0.45 x 12 = 5.4 jurors to be Hispanic. Since we cannot have a fraction of a juror, we would expect either 5 or 6 jurors to be Hispanic.

If the jury has 1 Hispanic individual, then the proportion of the jury that is Hispanic is 1/12, which is approximately 0.0833 when rounded to four decimal places.

To find the probability that 1 or fewer jurors would be Hispanic, we can use the binomial distribution with n=12 and p=0.45. The probability of 1 or fewer Hispanic jurors can be calculated as follows:

P(X ≤ 1) = P(X = 0) + P(X = 1)

= (12 choose 0) x (0.45)^0 x (1 - 0.45)^(12-0) + (12 choose 1) x (0.45)^1 x (1 - 0.45)^(12-1)

= 0.0042 + 0.0316

= 0.0358

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An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

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Answer:

174 squares

Step-by-step explanation:

I would start by finding the surface area of the rectangular prism. You can use 2(wl+hl+hw).

2(wl+hl+hw)

2(3*5+9*5+9*3)

2(15+45+27)

2(87)

174 cm^2

The area of squares 1 cm edges would be 1 because 1*1=1, so you could find how many of them would fit on the surface area by dividing 174 by 1, which equals 174.

Answer:

= (3 + 11)/4

= 14/4

= 7/2 or 3\(\frac{1}{2}\)

The expected value (μ) of the probability distribution of the discrete random variable X is μ = 7.26.

The correct option is B.

In probability theory, the expected value (or mean) is a measure of the central tendency of a random variable. It represents the average value that we would expect to observe if we repeated an experiment or random process many times.

Now, The expected value (μ) is calculated as:

μ = Σ(x P(X = x))

Let's calculate the expected value using the given probability distribution:

= (1 x 0.23) + (3 x 0.09) + (5 x 0.05) + (7 x 0.01) + (9 x 0.30) + (11 x 0.21) + (13 x 0.11)

= 0.23 + 0.27 + 0.25 + 0.07 + 2.7 + 2.31 + 1.43

= 7.26

Therefore, the expected value (μ) of the probability distribution is μ = 7.26.

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