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rjkz [21]
3 years ago
11

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

Mathematics
2 answers:
dalvyx [7]3 years ago
8 0
B) 1.6^4 1.6 is being multiplied 4 times
wel3 years ago
5 0
I think that it is  b
You might be interested in
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
2 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><u>Solution:</u></h3>

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

<em><u>A) What percentage of £36 will the new price be ?</u></em>

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 \%

<em><u>B) Write your answer to part a as a decimal.</u></em>

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}

<em><u>C) Work out the new price.</u></em>

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 <em>774in²</em>.

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, <em><u>774</u></em>.

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.

<u>774in²</u>

6 0
3 years ago
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