Y varies directly with x, and y is 16 when x is 32. Which equation represents this

Please solve the worksheet. (factoring trinomials)

Vesnalui [34]

Answer:

1. (x+3)(x+1)

2. (m+4)(m+8)

3. (r-2)(r-1)

4. (x-5)(x-1)

5. (x-7)(x-3)

6. (x-11)(x-11)

7. (t-6)(t+2)

8. (p-8)(p-8)

9. (x-1)(x-9)

10. (x+5)(x+1)

11. (a+9)(a-1)

12. (y-8)(y+1)

13. (x-3)(x+1)

14. (y+13)(y+1)

15. (m+5)(m+4)

16. (x+10)(x+2)

17. (a-12)(a-2)

18. (y+9)(y+2)

19. xy(x+2+y) i think

20. ab(a-4+4b)

21. xy(x+6-7y)

5 0

4 years ago

Emissions of sulfur dioxide by industry sett off chemical changes in the atmosphere that result in "acid rain". The acidity of l

horsena [70]

Answer:

Case n =5

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894$

Case n =15

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549$

Case n = 40

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530$

P value

Case n =5

$p_v =P(z$

Case n =15

$p_v =P(z$

Case n =40

$p_v =P(z$

Step-by-step explanation:

Data given and notation

$\bar X=4.8$ represent the sample mean

$\sigma=0.5$ represent the population standard deviation

$n$ sample size

$\mu_o =5$ represent the value that we want to test

$\alpha$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is lower than 5, the system of hypothesis would be:

Null hypothesis: $\mu \geq 5$

Alternative hypothesis: $\mu < 5$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

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

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

Case n =5

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894$

Case n =15

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549$

Case n = 40

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530$

P-value

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

Case n =5

$p_v =P(z$

Case n =15

$p_v =P(z$

Case n =40

$p_v =P(z$

5 0

4 years ago

What is 4.7 in a fraction into a simplest form

zhannawk [14.2K]

4.7 as a fraction would be 4 and 7/10 (7 over 10).

8 0

4 years ago

Read 2 more answers

Reggie and jay go for a walk morning.reggie walks 2 1/4 miles. Jay walks 1 3/8 miles less than Reggie. What is the total distanc

jek_recluse [69]

Jay walks 2 1/4 miles which if you double it so the denominators are e same for both 2 1/4 and 1 1/8 then your answer will be 18/8 (Jay) and 9/8 (Reggie). Meaning that Reggie walks have the distance Jay walks.

7 0

4 years ago

a survey was taken of children between the ages 7 and 12. let A be the event that the person rides the bus to school, and let B

galben [10]

Answer:

The statement is true about whether A and B are independent eventa is fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Step-by-step explanation:

Let A be the event that the person rides the bus to school, then:

P(A)=75/300

P(A)=0.25

Let B be the event that the person has 3 or more siblings, then:

P(B)=24/300

P(B)=0.25

P(A/B)=9/24

P(A/B)=0.375

Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent

Answer. Fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

8 0

3 years ago

Read 2 more answers