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Thepotemich [5.8K]
3 years ago
11

Simplifying expressions without negative exponents with variales

Mathematics
1 answer:
Olin [163]3 years ago
7 0
Multiply (or distribute) the exponent outside the parenthesis with every exponent inside the parenthesis, remember that if there is no exponent shown, then the exponent is 1. Step 3: Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents.
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On Friday nights the local diner serves three main entrees, each with a choice of vegetable. The entrees are beef, chicken, and
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C. chicken, spinach

(1 entree and 1 vegetable)
5 0
3 years ago
Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon
leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = <u><em>proportion of households that have three cell phones NOT known.</em></u>

So, Null Hypothesis, H_0 : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, H_A : p \neq 30%     {means that the actual percentage of households different from 30%}

The test statistics that would be used here <u>One-sample z-test for proportions;</u>

                                T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of households having three cell phones = \frac{43}{150} = 0.29

           n = sample of households = 150

So, <u><em>the test statistics</em></u>  =  \frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }  

                                     =  -0.27

The value of z test statistic is -0.27.

<u>Also, P-value of the test statistics is given by;</u>

              P-value = P(Z < -0.27) = 1 - P(Z \leq 0.27)

                            = 1 - 0.6064 = <u>0.3936</u>

<u>Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0
3 years ago
25 – 4.33<br>7 + (1 - 100)​
Sidana [21]

Answer:

25 – 4.33 = 20.67

7 + (1 - 100)​ = -92

Step-by-step explanation:

First one) Simply use your knowledge of integers and decimals to solve this. You can even start by drawing a number line and practising with that before beginning to do harder problems.

Second one) Just like the first one but use PEDMAS, BEDMAS or BODMAS and make sure to solve the brackets first.

6 0
3 years ago
Liz works at the animal shelter. There are 20 animals in the shelter, and 35% of the animals are dogs. How many of the animals i
Dima020 [189]

Answer:

7

Step-by-step explanation:

20 • 35% = 13 20-13=7

4 0
3 years ago
What does 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111+222222222222222222222222
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THE ANSWER IS D
ABCDEFGHIJKLMNOPQRSTUVWXYZ THANKS YOU !!!
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3 years ago
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