How many 3/4 are in 3?

An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop compute

skad [1K]

Answer:

a

The null hypothesis is $H_o : p = 0.67$

The alternative hypothesis is $H_a : p \ne 0.67$

b

The sample proportion is $\^ p = 0.65$

Step-by-step explanation:

From the question we are told that

The sample size is n = 546

The number of people that use a laptop overnight is $k = 355$

The population proportion is $p = \frac{2}{3} = 0.67$

Generally

The null hypothesis is $H_o : p = 0.67$

The alternative hypothesis is $H_a : p \ne 0.67$

Gnerally the sample proportion is mathematically represented as

$\^ p = \frac{ k}{n}$

=> $\^ p = \frac{ 355}{546}$

=> $\^ p = 0.65$

4 0

3 years ago

Use the equation P(A or B)= P(B)-P(A and B) to find the missing value below.

Anvisha [2.4K]

Answer:

$P(B) = \frac{7}{8}$

Step-by-step explanation:

Given

P(A or B)= P(B)-P(A and B)

P(A)=1/3

P(A and B)=1/8

P(A or B)= 3/4

Required

Find P(B)

To find P(B), all we need to do is to substitute values of P(A or B) and P(A and B) in the given equation.

This goes thus;

P(A or B) = P(B) - P(A and B) becomes

$\frac{3}{4} = P(B) - \frac{1}{8}$

Make P(B) the subject of formula

$P(B) = \frac{3}{4} + \frac{1}{8}$

Take L.C.M

$P(B) = \frac{6 + 1}{8}$

Add fractions

$P(B) = \frac{7}{8}$

From the workings above, the value of P(B) using the given equation is $\frac{7}{8}$

6 0

3 years ago

10. Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = 1

pogonyaev

Answer:

y = 6

Step-by-step explanation:

We need to interpret the question

y varies directly as x

y varies x

To equate it, we need to add a constant K

y = K/x

Using the information we are provided with

y = 9

x = 3/2

insert into

y = Kx

9 = K * 3/2

9 = 3K/ 2

3K = 9 *2

3k = 18

To get K, divide through by 3

3K/3 = 18/3

K = 6

Since we've gotten our K = 6

y = Kx

Using the new information

y = ?

x = 1

K = 6

y = 6* 1

y = 6

The new y = 6 , x =1

6 0

3 years ago

Name three decimals with a product that's is about 40

stellarik [79]

First decimal = 40.
second decimal = .40
third decimal= 4.0
hope that helps :)

7 0

3 years ago

Read 2 more answers

Find the integer solutions that

kaheart [24]

Given:

The compound inequality is:

$2$

To find:

The integer solutions that satisfy the given inequality.

Solution:

We have,

$2$

Subtracting 5 from each side, we get

$2-5$

$-3$

All the real numbers between -3 and 2 are in the solution set but -3 and 2 are not included in the solution set.

The integers between -3 and 2 are -2, -1, 0, 1.

Therefore, the integer solution of the given inequality are -2, -1, 0, 1. The answer as an inequality is $-3$ .

8 0

3 years ago