What is an equation of the line that passes through the point (-1,-7) and is perpendicular to the line x+y=6x

Nonamiya [84]

$16. \ \ V= \pi r^2h \ \to \ r^2= \cfrac{V}{ \pi h} \ \to \ \boxed{r= \sqrt{ \frac{V}{ \pi h} } } \\ \\ \\ 17.\ \ d= \frac{1}{2} at^2 \ \to \ 2d= at^2 \ \to \ t^2= \cfrac{2d}{a} \ \to \ \boxed{t= \sqrt{\frac{2d}{a}}} \\ \\ \\ 18. \ \ S=180(n-2) \ \to \ \cfrac{S}{180}=n-2 \ \to \ \boxed{n= \frac{S}{180}+2 }$

6 0

3 years ago

A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if stud

8_murik_8 [283]

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(c) Margin of error = 0.800

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

$\bar x = 7.10$ -- sample mean

$\sigma=5$ --- sample standard deviation

$n = 150$ --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

$CI = 90\%$ --- the confidence interval

Calculate the $\alpha$ level

$\alpha = 1 - CI$

$\alpha = 1 - 90\%$

$\alpha = 1 - 0.90$

$\alpha = 0.10$

Divide by 2

$\frac{\alpha}{2} = 0.10/2$

$\frac{\alpha}{2} = 0.05$

Subtract from 1

$1 - \frac{\alpha}{2} = 1 - 0.05$

$1 - \frac{\alpha}{2} = 0.95$

From the z table. the critical value for $1 - \frac{\alpha}{2} = 0.95$ is:

$z = 1.960$

Solving (c): Margin of error

This is calculated as:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.960 * \frac{5}{\sqrt {150}}$

$E = 1.960 * \frac{5}{12.25}$

$E = \frac{1.960 *5}{12.25}$

$E = \frac{9.80}{12.25}$

$E = 0.800$

Solving (d): The confidence interval

This is calculated as:

$CI = (\bar x - E, \bar x + E)$

$CI = (7.10 - 0.800, 7.10 + 0.800)$

$CI = (6.3, 7.9)$

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

6 0

2 years ago

When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the protectity

Fofino [41]

Answer:

The probability of hitting a single or a double is 1/5 or 20% or 20/100 or 0.2

Step-by-step explanation:

In probability, whenever we are to answer an ‘or’ question, we add up the probabilities involved.

The probability of hitting a single is 15%, that is same as 15/100 or just simply 0.15

The probability of hitting a double is 5%, that is simply 5/100 or just simply 0.05

The probability of hitting a single or a double = Probability of hitting a single + Probability of hitting a double = 0.15 + 0.05 = 0.20 or 20/100 or 1/5

6 0

3 years ago

)) Omar used 28 centimeters of tape to wrap 4 presents. How much tape will Omar need in

pav-90 [236]

Answer:

He would need 42 cm *or 14cm

Step-by-step explanation:

28/4 is 7

that means that he used 7 cm of tape per present

6 x 7 is 42

that means that he would need 42 cm of tape

4 to 28

6 to 42

*If he already has 4 presents done and he needs to 2 more present then he would need 14 cm, 2 x 7 is 14

8 0

3 years ago

Can someone please help me with comparing function

Minchanka [31]

Understand that a function<span> is a rule that assigns to each input exactly one output. The graph of a </span>function<span> is the set of ordered pairs consisting of an input and the corresponding output.</span>

8 0

2 years ago