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2 years ago

12

on a map the distance between two towns is 4 inches. the actual distance between the towns is 360 miles. what is the scale of th

e map?

1 answer:

chubhunter [2.5K]2 years ago

4 0

1 in = 90 miles I believe would be the scale

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Write the equations after translating the graph of y = |x|: one unit up,

Tatiana [17]

Answer:

$g(x) = |x| + 1$

Step-by-step explanation:

Given

$y = |x|$

Required

Translate 1 unit up

Start by replacing y with f(x)

$f(x) = |x|$

To translate an the graph of an absolute function upward, you make use of the formula;

$g(x) = f(x) + k$

Where k is the number of units

In this case; $k = 1$

Hence;

$g(x) = f(x) + k$

Substitute $k = 1$

$g(x) = f(x) + 1$

Substitute $f(x) = |x|$

$g(x) = |x| + 1$

<em>Hence, the resulting equation is </em> $g(x) = |x| + 1$ <em></em>

5 0

3 years ago

48% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually

oksian1 [2.3K]

Answer:

There is no sufficient evidence to support the executive claim

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.48$

The sample proportion is $\r p = 0.45$

The sample size is $n = 300$

The level of significance is $\alpha = 0.02$

The null hypothesis is $H_o : p= 0.48$

The alternative hypothesis is $H_a : p \ne 0.48$

Generally the test statistics is mathematically evaluated as

$t = \frac{\r p - p }{ \sqrt{ \frac{p(1 - p )}{n} } }$

=> $t = \frac{0.45 - 0.48 }{ \sqrt{ \frac{0.48 (1 - 0.48 )}{300} } }$

=> $t = -1.04$

The p-value is mathematically represented as

$p-value = 2P(z > |-1.04|)$

Form the z-table

$P(z > |-1.04|) = 0.15$

=> $p-value = 2 * 0.15$

=> $p-value = 0.3$

Given that $p-value > \alpha$ we fail to reject the null hypothesis

Hence we can conclude that there is no sufficient evidence to support the executive claim

5 0

3 years ago

What is the verbal for x/2

tatiyna

X ( a number) / (divided by) 2 (two)

A number divided by 2.
or
The quotient of a number, x, and 2.

5 0

3 years ago

Rewrite 2tan3x in terms of tanx

blsea [12.9K]

$2\tan3x=2\tan(2x+x)=\dfrac{2\tan2x+2\tan x}{1-\tan2x\tan x}$

Use the same identity to expand $\tan2x$ .

$\tan2x=\tan(x+x)=\dfrac{\tan x+\tan x}{1-\tan x\tan x}=\dfrac{2\tan x}{1-\tan^2x}$

$\implies2\tan3x=\dfrac{2\dfrac{2\tan x}{1-\tan^2x}+2\tan x}{1-\dfrac{2\tan x}{1-\tan^2x}\tan x}$
$2\tan3x=\dfrac{2\tan x\left(\dfrac2{1-\tan^2x}+1\right)}{1-\dfrac{2\tan^2x}{1-\tan^2x}}$
$2\tan3x=\dfrac{2\tan x\left(2+1-\tan^2x\right)}{1-\tan^2x-2\tan^2x}$
$2\tan3x=\dfrac{2\tan x(3-\tan^2x)}{1-3\tan^2x}$

4 0

3 years ago

A newspaper writer will write an article about the mean age of voters. She will estimate by selecting a sample of voters and cal

KengaRu [80]

The answer is B.

The mean is the average so, in this case, the average age of the voters. To get the average the person must take 100 random people who voted, as taking any others will not give them the average age.

3 0

2 years ago

Read 2 more answers