Which of the following expression is exponential form: 1.6 x 1.6 x 1.6 x 1.6.

What decimal is equivalent to 10/3?

fiasKO [112]

Answer:

3.33333333 . . .

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

2.06. In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nucle

DaniilM [7]

Answer:

$z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795$

$p_v =2*P(Z>2.795)= 0.005$

So if we compare the p value and using any significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=74$ represent the number of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

$X_{2}=70$ represent the number of people suburban residents are in favor

$n_{1}=100$ sample 1 selected

$n_{2}=125$ sample 2 selected

$p_{1}=\frac{74}{100}=0.74$ represent the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

$p_{2}=\frac{70}{125}=0.56$ represent the proportion of suburban residents are in favor

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportions are different, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{74+70}{100+125}=0.64$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795$

Statistical decision

The significance level provided is $\alpha=0.05$ ,and we can calculate the p value for this test.

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

$p_v =2*P(Z>2.795)= 0.005$

So if we compare the p value and using any significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.

5 0

3 years ago

HURRYYYYY!

marissa [1.9K]

$135 + $15x is greater than or equal to $300

4 0

3 years ago

The price of a pedicure decreases by 4.2% from £36 on promotion.

maria [59]

A) 95.8 % of £36 will be the new price

B) The answer to part A as a decimal is £34.488

C) The new price is £34.488

<h3>Solution:</h3>

Given that the price of a pedicure decreases by 4.2% from £36 on promotion

A) What percentage of £36 will the new price be ?

Given that £36 is decreased by 4.2 %

New price = 36 – 4.2% of 36

$\begin{array}{l}{\text { New price }=36-\frac{4.2}{100} \times 36} \\\\ {\text { New price }=36-1.512} \\\\ {\text { New price }=34.488}\end{array}$

Now we have to find what percentage of £36 will the new price be

x % of 36 = 34.488

$\frac{x}{100} \times 36 = 34.488\\\\x = \frac{34.488 \times 100}{36} = 95.8 \%$

B) Write your answer to part a as a decimal.

Now, we have to find the new price in decimal form.

$\begin{array}{l}{95.8 \% \times 36 \rightarrow \frac{95.8}{100} \times 36} \\\\ {\rightarrow 0.958 \times 36=34.488}\end{array}$

C) Work out the new price.

As we calculated, the new price is £34.488

6 0

3 years ago

A

TiliK225 [7]

Answer:

What are you asking? If you're asking for the area of the prism, it's 774in².

Step-by-step explanation:

First you need to use this formula.

2(wl + hl + hw)

w = width

l = length

h = height

Since we already know what all of those values are, we don't need to do any solving for them.

In this case:

width = 9

length = 9

height = 17

Plug those numbers into the formula and solve.

2(9 × 9 + 17 × 9 + 17 × 9)

It would be easiest to multiply the numbers before doing your adding.

2(81 + 153 + 153)

Add.

2(387)

Multiply what is in the parenthesis with the number on the outside, 2.

There's your answer, 774.

Since this is area, you have to specify the type of measuring you're using (example: inches, feet, yards) and you have to be sure to include the ² after the measurement you're using because you may get points off for that.

774in²

6 0

3 years ago