True or False (See Image)

The remainder theorem can be used to check if a binomial is a factor of a larger polynomial.

Answer:

g(x) = 1/4 f(x)

Step-by-step explanation:

(x,y) -> (x , 1/4 y)  .. vertical compression

Step-by-step explanation:

a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:

Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries

Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries

b.

Because we know the population standard deviation, we can use a z test

Plugging in the values:

Expected population mean: 24.57

Sample average: 23.89

Sample size: 30

Population standard deviation: 2.4, we get 0.1207 as our p-value.

c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)

d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

For this problem, we consider that we want it to be within 4%.

Item a:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is [tex]\pi = 0.96[/tex], hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2[/tex]

[tex]n = 92.2[/tex]

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to [tex]\pi = 0.5[/tex], the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

Answer:

the sample standard deviation and t distribution can be used

Step-by-step explanation:

Answer: They are inverses of each other

==========================================================

Explanation:

We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.

[tex]h(x) = 9x-4\\\\h(f(x)) = 9(f(x))-4\\\\h(f(x)) = 9\left(\frac{x+4}{9}\right)-4\\\\h(f(x)) = x+4-4\\\\h(f(x)) = x\\\\[/tex]

and,

[tex]f(x) = \frac{x+4}{9}\\\\f(h(x)) = \frac{h(x)+4}{9}\\\\f(h(x)) = \frac{9x-4+4}{9}\\\\f(h(x)) = \frac{9x}{9}\\\\f(h(x)) = x\\\\[/tex]

Both composite functions lead to x each time.

The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.

Answer:

10x-8y=32

10x+15y=-60

-23y=92

y=-92/23

make as brainleast

Answer:

1.25 miles or 5/4

Step-by-step explanation:

Take the two distances and add them together and simplify.

Answer: 1 & 1/4 mile

Explanation:

1/2 = 2/4

She walked 2/4 of a mile in the morning and 3/4 of a mile in the afternoon. The total she walked is 5/4 of a mile. We add the numerators and place the sum over the common denominator.

The improper fraction 5/4 converts to the mixed number 1 & 1/4, since,

5/4 = (4+1)/4 = 4/4 + 1/4 = 1 + 1/4 = 1 & 1/4

Answer:

y = 41.65

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 49 when x = 40

49 = 40k ( divide both sides by 40 )

[tex]\frac{49}{40}[/tex] = k = 1.225

y = 1.225x ← equation of variation

When x = 34 , then

y = 1.225 × 34 = 41.65

Answer:

b

Step-by-step explanation:

Answer:

x =  11

Step-by-step explanation:

Lines are parallel.   5x + 10 and 10x + 5 are supplements of each other.

Move  5x+ 10 to the corresponding position on the figure.  It will be next to 10x + 5 and form a linear pair with 10x + 5.  A linear pair form a straight angle or two supplementary angles.  Supplementary angles = 180°

Therefore  5x +10 + 10x + 5 = 180°

                   15x  + 15 = 180°

                      15x = 180 - 15

                         15x = 165

                           x =  11

Answer:

should be 3

Step-by-step explanation:

hope you get a good grade

Answer:

no

Step-by-step explanation:

since x=1   5-2<4 so then 3<4 so no Im not sure

Answer:

No

Step-by-step explanation:

5-x² when x=1 is 4.

1²=1

5-1=4

4 is not less than 4 so it can't be true.

Answer:

11

Step-by-step explanation:

Answer:

old enough to eat a cookie

Answer:

485y to the power 2 + 5x to the power 2 - 6xy to the power 3 + 7

Step-by-step explanation:

I hope this helps. Also, there's this free app called Quick Math. If you need the steps, you should check there first, and maybe you should try that for other math problems as well.

Good luck and have a great rest of your day.

Answer:

add the exponents

Step-by-step explanation:

i wish i had that much money

Answer:

Step-by-step explanation:

1. 84

2. 96

Answer: Divisible by 2, 3, 6

3. 896

4. 942

Answer: Divisible by 2, 3, 6

5. 22,335

6. 39,075

Answer: Divisible by 3, 5

Find Prime Factorizations and Least Common Multiples In the following exercises, find the

prime factorization.

7. 86

8. 78

Answer: 2 3 13 ⋅ ⋅

9. 455

10. 400

Answer: 222255 ⋅⋅⋅⋅⋅

11. 432

12. 627

Answer: 3 11 19 ⋅ ⋅

In the following exercises, find the least common multiple of each pair of numbers using the

prime factors method.

13. 8, 12

hope that help mark me brinliylist

Answer:

less than is

<

Step-by-step explanation:

equal to is =

mark me as brainliest pls

Answer:

your welcome... hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Conclusion:

Since:

Our new equation will be 7 - 2 = 5

Hoped this helped.

Hey there!

7 - 2x = 5

-2x + 7 = 5

SUBTRACT 7 to BOTH SIDES

-2x + 7 - 7 = 5 - 7

CANCEL out: 7 - 7 because that gives you 0

KEEP: 5 - 7 because it helps solve for the x-value

NEW EQUATION: -2x = 5 - 7

SIMPLIFY IT!

-2x = -2

DIVIDE -2 to BOTH SIDES

-2x/-2 = -2/-2

CANCEL out: -2/-2 (on the LEFT SIDE) because that gives you 1

KEEP: -2/-2 (on the RIGHT SIDE) because it helps you solve for the x-value

NEW EQUATION: x = -2/-2

SIMPLIFY IT!

x = 1

Therefore, your answer should be: x = 1

Checking to make sure it is correct!

-2x + 7 = 5

-2(1) + 7 = 5

-2 + 7 = 5

So, this makes this statement TRUE

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

rectangle= 22*9 = 198ft

triangle=11*10 = 110 ft

110+ 198 = 308 polygon

Answer:

10y

Step-by-step explanation:

product means to multiply so you would multiply y and 10 so the options would be

10y

y x 10

Answer:

Step-by-step explanation:

An example of one fraction that does NOT terminate is 2/3.

2/3 = 0.666666666666666 ....  That's the easy way to tackle the problem. Pick out the ones that don't terminate.

5/7 is the other one. It does not terminate either. It has 6 digits in a block that keeps on repeating itself forever.

5/7 = .571428 571428 which goes on forever.

So the two that do terminate are

3/2 which = 1.5

3/4 which = 0.75

Answer:

what's thequestion?

Step-by-step explanation:

If Selena ran x miles and manny ran y miles, who ran more miles

x=any number

y=any number smaller than x

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

This is an Exponent. It is when a number is being multiplied as many times as the Exponent on top.

[tex]\left(\frac{1}{4}\right)^3[/tex] The ³ is the exponent,

[tex]\frac{1}{4} \times\frac{1}{4} \times\frac{1}{4}[/tex] is the expansion, and

Multiply on top: 1 × 1 × 1 = 1

Multiply the bottom: 4 × 4 = 16. 16 × 4 = 64

Hence, [tex]\frac{1}{64}[/tex]  is the product or simplified form.

Another way:

[tex]\underline{\mathrm{Exponent\:rule\:}}\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]\left(\frac{1}{4}\right)^3[/tex]

[tex]=\frac{1^3}{4^3}[/tex]

[tex]1^3=1[/tex]

[tex]=\frac{1}{4^3}[/tex]

[tex]4^3=64[/tex]

[tex]=\frac{1}{64}[/tex]

Answer:

8.4

Step-by-step explanation:

edge

Answer:

no

Step-by-step explanation:

1 x 7 = 7 but 2 x 7 does not equal 17