Express rational number in standard form: -216/144

The volume of a sphere is cubic inches. What is the circumference of the great circle of the sphere?

Shtirlitz [24]

Is there a pictures?

7 0

2 years ago

im looking for a number that is greater than 0.8 but less than 0.9. The greatest digit is in the hundredths place. What could th

DaniilM [7]

I hope this helps 0.7

5 0

3 years ago

Suppose a simple random sample of size nequals81 is obtained from a population with mu equals 79 and sigma equals 18. (a) Descr

Daniel [21]

Answer:

(a) The sampling distribution of $\overline{X}$ = Population mean = 79

(b) P ( $\overline{X}$ greater than 81.2 ) = 0.1357

(c) P ( $\overline{X}$ less than or equals 74.4 ) = .0107

(d) P (77.6 less than $\overline{X}$ less than 83.2 ) = .7401

Step-by-step explanation:

Given -

Sample size ( n ) = 81

Population mean $(\nu)$ = 79

Standard deviation $(\sigma )$ = 18

(a) Describe the sampling distribution of $\overline{X}$

For large sample using central limit theorem

the sampling distribution of $\overline{X}$ = Population mean = 79

(b) What is Upper P ( $\overline{X}$ greater than 81.2 ) =

$P(\overline{X}> 81.2)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}> \frac{81.2 - 79}{\frac{18}{\sqrt{81}}})$

= $P(Z> 1.1)$

= $1 - P(Z< 1.1)$

= 1 - .8643 =

= 0.1357

(c) What is Upper P ( $\overline{X}$ less than or equals 74.4 ) =

$P(\overline{X}\leq 74.4)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{74.4- 79}{\frac{18}{\sqrt{81}}})$

= $P(Z\leq -2.3)$

= .0107

(d) What is Upper P (77.6 less than $\overline{X}$ less than 83.2 ) =

$P(77.6< \overline{X}< 83.2)$ = $P(\frac{77.6- 79}{\frac{18}{\sqrt{81}}})< P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{83.2- 79}{\frac{18}{\sqrt{81}}})$

= $P(- 0.7< Z< 2.1)$

= $(Z< 2.1) - (Z< -0.7)$

= 0.9821 - .2420

= 0.7401

3 0

3 years ago

Consider the gender and class make-up of students at a large university by gender and status as given in the table.

azamat

Answer:

0.589

Step-by-step explanation:

THis is a conditional probability question. Let's look at the formula first:

P (A | B) = P(A∩B)/P(B)

" | " means "given that".

So, it means, the <u><em>"Probabilty A given that B is equal to Probability A intersection B divided by probability of B."</em></u>

So we want to know P (Female | Undergraduate ). This in formula is:

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

Now,

P (Female ∩ Undergraduate) means what is common in both female and undergraduate? There are 43% female that are undergrads. Hence,

P (Female ∩ Undergraduate) = 0.43

Also,

P (Undergraduate) is how many undergrads are there? There are 73% undergrads, so that is P (undergraduate) = 0.73

<em>plugging into the formula we get:</em>

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

=0.43/0.73 = 0.589

this is the answer.

4 0

3 years ago

Question is below help needed

RoseWind [281]

The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

1.

The given sequence is

-2, -6, -18, -54

Common ratio ;

r = -6 / -2 = 3

$a _ n =-2 (3) ^{n-1}$

This given formula is the explicit formula.

2.

The given sequence is

4, 8, 16, 32

Common ratio ;

r = 8 / 4 = 2

$a_n = a_{n-1}.2\\\\a _1 = 4$

This given formula is the recursive formula.

Learn more about the recursive rule and explicit rules here:

brainly.com/question/12620593

#SPJ1

5 0

1 year ago

Express rational number in standard form: -216/144​

Express rational number in standard form: -216/144