Ask question

Ask question

All categories

gizmo_the_mogwai [7]

3 years ago

11

1. What is (f+g)(x)?

2 answers:

Alex73 [517]3 years ago

6 0

Answer:x

x^3+5x^2+16x-3

Step-by-step explanation:

KatRina [158]3 years ago

6 0

1. What is (f+g)(x)?

f(x)=8x^2+16x+6

g(x)=x^3-3x^2-9

A. x^3+5x^2+16x+3

<h2>B. x^3+8x^2+16x-3</h2>

C.x^3+5x^2+16x-3

D. 2x^3+5x^2+16x-3

i could be wrong if not B its probably A

You might be interested in

Kevin makes a base salary of $380 per week plus 4% commission on his total sales as a used car salesman. If

Vika [28.1K]

Multiply the sales by the commission rate and add that to the base salary.

45,000 x 0.04 = 1,800

Total pay = 1800 + 380 = $2,180

8 0

3 years ago

if a sacretary types 55 words in one minute how long will it take the secretary to type a 2000 word report

Delvig [45]

Answer:

37 minutes

Step-by-step explanation:

5 0

2 years ago

In the track meet I competed in the high jump and the pole vault. What is this called?

nata0808 [166]

Answer:

Within the parlance of Statistics, this is called Nominal Data.

Other examples of nominal data are:

Race
Country
Gender etc

Cheers

5 0

3 years ago

You work in the HR department at a large franchise. you want to test whether you have set your employee monthly allowances corre

ra1l [238]

Answer:

1) Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

For this case we see that the calculated value is higher than the critical value

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

2) Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

Step-by-step explanation:

Part 1

Data given

$\bar X=640$ represent the sample mean

$\sigma=150$ represent the population standard deviation

$n=40$ sample size

$\mu_o =500$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Step1:State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 500, the system of hypothesis would be:

Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

Step 2: Calculate the statistic

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

We can replace in formula (1) the info given like this:

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

Step 3: Calculate the critical value

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

Step 4: Compare the statistic with the critical value

For this case we see that the calculated value is higher than the critical value

Step 5: Decision

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

Part 2

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

7 0

3 years ago

The diagram shows a circular pond, of radius r metres, surrounded by a circular path.The circular path has a constant width of 1

Alenkasestr [34]

The formula for calculating the area of a circle is expressed as;

A = πr²

Area of the pond = πr²
Area of the path = Area of the path + pond - area of pond

Area of path = π(r+1.5)² - πr²

Since the area of the path is equal to the area of the pond, hence;

π(r+1.5)² - πr² = πr²

Add πr² to both sides

π(r+1.5)² - πr² + πr² = πr² + πr²

π(r+1.5)² = 2πr²

(r+1.5)² = 2r²

Expand the parenthesis

r²+3r + 2.25 = 2r²

r²+3r + 2.25 - 2r² = 0

-r² + 3r + 2.25 = 0

r² - 3r - 2.25 = 0

Multiply through by 2

2r² - 6.0r - 4.5 = 0

<em>This proves the required equation</em>

<em />

Learn more on area of composite figures here: brainly.com/question/15981553

3 0

3 years ago