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Juli2301 [7.4K]
3 years ago
7

Evaluate each expression for x = 6 and for x = 3. Based on your results, do you know whether the two expressions are equivalent?

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

You can't add the same number to 2 different numbers and get the same answer, so no.

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If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed
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Answer:

17.6 minutes

Step-by-step explanation:

\frac{4}{5} = \frac{x}{22}

5x=22

x=\frac{22}{5}

4(\frac{22}{5} ) = \frac{88}{5} = 17.6

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3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot
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Answer:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

\hat p=0.75 estimated proportion of residents favored annexation

p_o=0.72 is the value that we want to test

represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:  

Null hypothesis:p\leq 0.72  

Alternative hypothesis:p > 0.72  

The statistic for this case is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

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Gabe had 372 apples and r grapes. The total of grapes and apples gabe has are 509. How many grapes did gabe have?


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Sydney is cutting the crust from the edges of her sandwich. The dimensions, in centimeters, of the sandwich is shown.
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I can’t see the format it’s not showing up
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