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Ilia_Sergeevich [38]
3 years ago
11

Slove 3x+9=2x+24 must show work!

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

Answer:

x=15

Step-by-step explanation:

3x+9=2x+24

x=24-9

x=15

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The data in NutritionStudy include information on nutrition and health habits of a sample of people. One of the variables is Smo
Aleks04 [339]

Answer:

<em>H₀</em>: <em>p</em> = 0.20.

<em>Hₐ</em>: <em>p</em> ≠ 0.20.

Step-by-step explanation:

The question is:

The data in Nutrition Study include information on nutrition and health habits of a sample of 315 people. One of the variables is Smoke, indicating whether a person smokes or not (yes or no). Use technology to test whether the data provide evidence that the proportion of smokers is different from 20% given that 43 identify themselves as smokers. Clearly state the null and alternative hypotheses

In this case we need to test whether the proportion of smokers is different from 20%.

A one-proportion <em>z</em>-test can be used to determine the conclusion for this test.

The hypothesis defined as:

<em>H₀</em>: The proportion of smokers is 20%, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: The proportion of smokers is different from 20%, i.e. <em>p</em> ≠ 0.20.

The information provided is:

<em>n</em> = 315

<em>X</em> = number of people who identified themselves as smokers = 43

Compute the sample proportion of smokers as follows:

\hat p=\frac{X}{n}=\frac{43}{315}=0.137

Compute the test statistic as follows:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.137-0.20}{\sqrt{\frac{0.20(1-0.20)}{315}}}=-2.80

The test statistic is -2.80.

Compute the <em>p</em>-value as follows:

p-value=2\times P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.00512.

The <em>p</em>-value is quite small. So, the null hypothesis will be rejected at any significance level.

Thus, it can be concluded that the  proportion of smokers is different from 20%.

6 0
3 years ago
Solve by factorising x2+8x+15=0
Alex_Xolod [135]

Answer:

Hi! The correct answer is x= -3 ,-5!

Step-by-step explanation:

<em>~Factor and set each factor equal to 0~</em>

6 0
2 years ago
Read 2 more answers
The scale of a map (in centimeters) says that 4cm represents 5km.
Firlakuza [10]

Answer:

16/5 or 3.2

Step-by-step explanation:

4cm/5km = x/4km

Cross multiply to find answer

5 0
3 years ago
What is the solution to this equation -13x=52​
Tom [10]

Answer:

-4

Step-by-step explanation:

You multiply -13*-4=52

8 0
2 years ago
Sharon spends 24 hours on her tablet each week. How many hours does she
melisa1 [442]
Sharon spends 1248 because there are 52 weeks in a year and 24 * 52 = 1248
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3 years ago
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