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Answer:

The null hypothesis is [tex]H_0: p = 0.22[/tex]

The alternate hypothesis is [tex]H_1: p < 0.22[/tex]

Step-by-step explanation:

To investigate this further, the economist would like to test the claim that the percent of thirty-year fixed-rate mortgage loans that have a 4.75 percent interest rate is less than 22%.

At the null hypothesis, we test that the proportion is of 22%, that is:

[tex]H_0: p = 0.22[/tex]

At the alternate hypothesis, we test that the proportion is less than 22%, that is:

[tex]H_1: p < 0.22[/tex]

Answer: i can give you tips of how to find the area of a polygon.

OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

Step-by-step explanation:

And you have to add all the sides of the lengths of the sum of the polygon

Answer:

c and e ................

Answer:

10:46

Step-by-step explanation:

8:30 + 136 min.

= 8:30 + 2:16

= 10:46

Answer: A

Step-by-step explanation:

Because to find the area I multiplied and got 72 then I looked up how to find them perimeter

Answer:

both A and B

Step-by-step explanation:

a's perimeter is 36 (6+6+12+12)

b's perimeter is 36 (4+4+14+14)

c's perimeter is 34 (9+9+8+8)

all the options equal to 72 sq. centi. if u multi

6*12=72

4*14=72

9*8=72

Answer:

[tex]2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)[/tex]

Answer:

x = number of packages of peanuts

25 ≥ 10.81 + 10.00 + 0.38x

x = 11.03  Steven can

• Solve: 7 – x > 5.4

Solution:

x < 1.6

Step-by-step explanation:

Answer:

a) The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).

b) 4.05 is not part of the confidence interval, which means that it does not support this claim.

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{0.75}{\sqrt{250}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.21 - 0.1 = 4.11

The upper end of the interval is the sample mean added to M. So it is 4.21 + 0.1 = 4.31

The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).

b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval support this claim?

4.05 is not part of the confidence interval, which means that it does not support this claim.

Answer:

-2,-5 is the value. The correct Answer

Answer:

1)

Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.

Step-by-step explanation:

Given the data in the question;

Null hypothesis             H₀ : p = 50% or 0.5

Alternative hypothesis Hₐ : p ≠ 50% or 0.5

given that p-value = 0.714

The p-value is large, so we can not reject Null hypothesis.

Thus, p = 50% or 0.5

Meaning that, the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 )

Thus, Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)  

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.

Answer:

The correct option is b. A logarithmic regression function.

Step-by-step explanation:

Given:

Q= λK^β1L^β2M^β3e^μ ………………………. (1)

Equation (1) can be transformed into a logarithmic regression function by taking natural log of both sides as follows:

lnQi = lnλ + β1lnKi + β2lnLi + β3lnMi + μInei ……………….. (2)

Where i = 0, 1, 2….n observations.

Let lnλ = β0 and let μIne = εi and then substituting them into equation (2), we have:

lnQi = β0 + β1lnKi + β2lnLi + β3lnMi + εi ......................(3)

Equation (3) is the logarithmic regression function to estimate the model.

Therefore, the correct option is b. A logarithmic regression function.

Answer:

Sales of the week = 3600

Step-by-step explanation:

Given - Cher works in retail sales. Her salary is $400 plus 15% commission on weekly  sales.

To find - Find her sales for the week if her wages for the week is $940.

Solution -

Let us assume that,

Her sales of the week = x

Now,

Given that, Her salary is $400 plus 15% commission on weekly  sales.

So,

Equation of salary becomes

Salary = 400 + [tex]\frac{15}{100}x[/tex]

i.e.

Salary = 400 + 0.15x          .......(1)

Now,

Given that,

her wages for the week is $940.

i.e. Salary = $940

Put in equation (1), we get

940 = 400 + 0.15x

⇒0.15x = 940 - 400

⇒0.15x = 540

⇒x = 3600

∴ we get

Sales of the week = x = 3600

Answer:

it is the yellow square. hope this helps

Step-by-step explanation:

please mark me brainliest i only need 1 more to level up :)

Answer:

B and C

Step-by-step explanation:

the variable would be the amount of cups sold

Answer:

Your answers are B and C

Step-by-step explanation:

The expression of how much money she would have made would not be A because she didn't make 12 dollars per small cup, she made 1 dollar per small cup. If you add all the amount of cups she sold up you get $75.

Answer:

It should be one of these:

(x + 10)² + (y + 8)² = 3.2²

(x + 10)² + (y + 8)² = 10.24

Step-by-step explanation:

You didn't list the choices, but this is the standard equation

(x + 10)² + (y + 8)² = 3.2²

the 3.2² term may be presented as 10.24

Answer:

2/3

Step-by-step explanation:

rises 2 units and east 3 units

rise / run = 2 / 3

Answer:

A) - Quartic polynomial

- has four roots

- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) - Cubic polynomial

- has 3 roots

- roots are; f(x) = (x - 5)²(x + 5)

Step-by-step explanation:

A) f(x) = x⁴ + 21x² − 100

The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.

Factorizing this polynomial gives;

f(x) = (x² + 25)(x² - 4)

Equating to zero, we can find the roots. Thus, the roots are;

x = 5i

x = -5i

x = 2

x = -2

Thus, the completely factorized polynomial is;

f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) f(x) = x³ − 5x² − 25x + 125

The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.

Factorizing this polynomial gives;

f(x) = (x² - 25)(x - 5)

Equating to zero and Factorizing gives;

x = 5

x = -5

x = 5

Thus, completely factorized with the roots is;

f(x) = (x - 5)²(x + 5)

The place value of the digit 7 in 74, 310, 892 is ten million.

Answer:

Step-by-step explanation:

sum of exterior angles=360°

each exterior angle=360/20=18°

each interior angle=180-18=162°

Answer:

16.2°

Step-by-step explanation:

polygon has 20 sides

regular polygon

How to find the sum of all interior angles in a polygon?

=> (n-2) x 180

here n means number of sides

=> (20-2) x 180

=> 18 x 18

=> 324

there are as many interior angles in a polygon as many sides it has.

and the size of each angle is the same in a regular polygon.

so => 324/20 = 16.2°- Answer

Answer:

64

Step-by-step explanation:

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

The solution is : 64 is limit.

In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

here, we have,

Given lim f(x) = 4.

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

Hence, The solution is : 64 is limit.

To learn more on limit click:

https://brainly.com/question/24169952

#SPJ7

Answer:

[tex]||AB|| = 11.8743[/tex]

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

Distance from A(-8,-3,-2) and B(-4,8,0)

[tex]||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}[/tex]

[tex]||AB|| = \sqrt{4^2 + 11^2 + 2^2}[/tex]

[tex]||AB|| = 11.8743[/tex]

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary

First off, I would like to say that you aren't d**b! Always remember that asking for help is never d**b!

To change a fraction to a decimal, put the decimal over its place value. For example, if you had the decimal 0.7, you would put 7 over 10 to create the fraction [tex]\frac{7}{10}[/tex].

Lastly, always remember to simplify your answer!

Hope this helps! Have a great day! (:

Answer:

b

Step-by-step explanation:

liquidity risk. because the shorter the term the lesser the liquidity.