1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
5 + 8 =​

In order to form a more perfect union.

Answer: 13%

Step-by-step explanation:

To answer this question we can simply take her raised salary by her old salary...

(Put this into a calculator) 7300/56800=0.13

$7300 is 13% of her old salary

Answer:

y=7+4 and y=7+3

Step-by-step explanation:

Answer:

The point estimate for the true difference between the population means is of -2.62 years.

The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of variances.

A sample of 138 cars owned by students had an average age of 5.13 years. The population standard deviation for cars owned by students is 3.45 years.

This means that:

[tex]\mu_{s} = 5.13, \sigma_{s} = 3.45, n = 138, s_s = \frac{3.45}{\sqrt{138}} = 0.2937[/tex]

A sample of 111 cars owned by faculty had an average age of 7.75 years.  The population standard deviation for cars owned by faculty is 2.08 years.

This means that [tex]\mu_{f} = 7.75, \sigma_{f} = 2.08, n = 111, s_f = \frac{2.08}{\sqrt{111}} = 0.2658[/tex]

Difference between the true mean ages for cars owned by students and faculty.

s - f

Mean:

[tex]\mu = \mu_s - \mu_f = 5.13 - 7.75 = -2.62[/tex]

This is the point estimate for the true difference between the population means.

Standard deviation:

[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2937^2+0.2658^2} = 0.3961[/tex]

Confidence interval:

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 Ztable as such z has a pvalue 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 = zs = 1.96*0.3961 = 0.78[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is -2.62 - 0.78 = -3.4

The upper end of the interval is the sample mean added to M. So it is -2.62 + 0.78 = -1.84

The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.

Answer:

Step-by-step explanation:

6) diameter = 2 cm

Radius is half of diameter

r = 2 /2 = 1 cm

Area of circle = πr²      {Plugin r = 1 in the formula}

                      = π*1²

                      = π cm²

7) r = 7.4 cm

Area = πr²

        = π * 7.4*7.4

        = 54.76π cm²

Answer:

D

Step-by-step explanation:

If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as

p(x)/x+k = q(x) + r/x+k

where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes [tex]x^{1}[/tex] and no higher exponents), the remainder is a real number.

Therefore, p(x) can be rewritten as p(x) = (x+k)q(x) + r, where r is a real number.

The question states that p(3) = −2, so it must be true that

−2 = p(3) = (3+k)q(3) + r

Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.

A. −2=p(3)=(3+(−5))q(3)+0

−2=(3−5)q(3)

−2=(−2)q(3)

This could be true, but only if q(3)=1

B. −2=p(3)=(3+(−2))q(3)+0

−2=(3−2)q(3)

−2=(−1)q(3)

This could be true, but only if q(3)=2

C. −2=p(3)=(3+2)q(3)+0

−2=(5)q(3)

This could be true, but only if q(3) = −2/5

D. −2=p(3)=(3+(−3))q(3)+(−2)

−2=(3−3)q(3)+(−2)

−2=(0)q(3)+(−2)

This will always be true no matter what q(3) is.

Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.

The final answer is D.

Answer:

Step-by-step explanation:

From the given table,

Ratio of each successive term in the row showing salary (y) is,

Ratio = [tex]\frac{30}{15}[/tex] = 2

Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.

y = a(b)ˣ

For x = 0, y = 15,

15 = a(b)⁰

a = 15

For x = 1, y = 30,

30 = 15(b)¹

b = 2

Therefore, exponential function Or exponential model will be,

y = 15(2)ˣ

Projected salary in 9 years [For x = 9],

y = 15(2)⁹

y = 15 × 512

y = $7680

For the salary more than $3 million [For y = $3000000],

3000000 = 15(2)ˣ

2ˣ = 200000

log(2)ˣ = log(200000)

xlog2 = log(2×10⁵)

xlog2 = log2 + log(10)⁵

(x - 1)log2 = 5

x - 1 = [tex]\frac{5}{\text{log2}}[/tex]

x = 16.609 + 1

x = 17.609

x ≈ 17.61 years

Answer:

b) 270 ≥ 40.18d + 3.75

Step-by-step explanation:

Per day is a variable, so it's 40.18d

Per mile is also a variable so 0.05m

40.18d + 0.05m ≤ 270

40.18d + 0.05(75) ≤ 270

40.18d + 3.75 ≤ 270

Answer: 270 ≥ 40.18d + 3.75

Answer:

Choice C

Step-by-step explanation:

You find the ratio, so every if 4 McDonalds is $28 thats 4:28

You find the unit rate 1:x

divide each side by 4 and the unit rate is 7. Graph c shows cordinate (1,7)

Answer:

B. 2(11A + 7)

Step-by-step explanation:

The common factor of 22 and 14 is 2

Answer:

It will affect the process in the sense that the sample population size will be unknown due to the fact that we don't know the population standard deviation.

Step-by-step explanation:

We are told that you do not know the population standard deviation. Thus, the sample population will not be able to be calculated because this sample standard deviation given will not suffice and we need the population standard deviation to be able to calculate the sample population size.

The absence of population standard deviation will result in performing the one mean t test. The one mean t test gives an insight of the deviation of values from the mean.

For the approval or rejection of the null hypothesis, hypothesis testing has been performed. For performing a test, a hypothesis has been assigned based on the results we wish to obtain. The rejection of null hypothesis leads to acception of the alternate hypothesis, while the approval of the null hypothesis results in the rejection of the alternate hypothesis.

For performing the null hypothesis test, there has been the first step to be the requirement of the hypothesis. The hypothesis has been tested based on the population size. And the test has been performed.

The absence of population standard deviation will result in performing the one mean t test.

The one mean t test gives an insight of the deviation of values from the mean. It has been used for the determination of random data sample, normal distribution, range of sampling.

For more information, refer to the link given below:

https://brainly.com/question/22687297

Answer:

8x-11

Step-by-step explanation:

3x+5x=8x

-6+-5=-11

8x-11

Answer:

8x-11 hope nthisbelps sorry if im wrong

Step-by-step explanation:

Answej hhjb hgygvhgvhgvhgvhvhgvhvhvgh

Answer:

what grade is this?

Step-by-step explanation:

Answer:

it's your answer and make me barinly least

Answer:

7144

Step-by-step explanation:

Answer:

D: 39.71 pi m cubed

Step-by-step explanation:

To find the volume of a cylinder, you must use the equation V=pi times the radius squared times the height.

Answer:

15

Step-by-step explanation:

please the answer is 15

Answer:

oops where is the question

Step-by-step explanation:

please check the question layout well

Answer:

Number of whole tiles need = 120,000 tiles

Step-by-step explanation:

Given:

Area of room = 300 m²

Dimension of each tile = 5cm x 5cm

Find:

Number of whole tiles need

Computation:

Dimension of tile in meter = 5 /100 = 0.05 m

Area of each tile = 0.05 x 0.05

Area of each tile = 0.0025 m²

Number of whole tiles need = Area of room / Area of each tile

Number of whole tiles need = 300 / 0.0025

Number of whole tiles need = 120,000 tiles

Total 120,000 tiles need to cover 300 m² room.

Answer:

$125.2-discount

$500.8-sale price

Step-by-step explanation:

hope it helps

Answer:

-8,4

Step-by-step explanation:

Answer:

Height of computer screen in inches = 8.48 inches (Approx.)

Step-by-step explanation:

Given:

Diagonal of screen of laptop computer = 19 inches

Width of screen of laptop = 17 inches

Find:

Height of computer screen in inches

Computation:

Screen diagonal, width and height makes a right angle triangle

So,

Using Pythagoras theorem;

Perpendicular = √Hypoteneus² - Base²

Height of computer screen in inches = √(Diagonal of screen of laptop computer)² - (Width of screen of laptop)²

Height of computer screen in inches = √(19)² - (17)²

Height of computer screen in inches = √361 - 289

Height of computer screen in inches = 8.48 inches (Approx.)

Answer:

x = (9√2)/2

Step-by-step explanation:

Reference angle = 45°

Hypotenuse length = 9

Adjacent length = x

Apply the trigonometric ratio CAH:

Cos 45° = Adj/Hyp

Cos 45° = x/9

Multiply both sides by 9

9*Cos 45 = x

9*1/√2 = x (cos 45 = 1/√2)

9/√2 = x

Rationalize

(9*√2)/2 = x

x = (9√2)/2