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Tatiana [17]
3 years ago
14

54. Write the ratio as a fraction in simplestform.56 to 16​

Mathematics
1 answer:
pshichka [43]3 years ago
4 0

Answer:

56/16 = 3.5

Step-by-step explanation:

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Answer:

-60

Step-by-step explanation:

6 * (-10) = -60

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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
Stells [14]

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%

3 0
3 years ago
The football team has a total of 350 jerseys. There are 154 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized
KonstantinChe [14]

Answer:

Step-by-step explanation:

Given : The total number of jerseys = 350

The number of medium-sized jerseys = 154

Then, the percent of the jerseys are medium-sized jerseys will be :-

\begin{gathered}\dfrac{\text{Number of medium-sized jerseys }}{\text{Total jerseys}}\times100\\\\=\dfrac{154}{350}\times100\\\\=0.44\times100=44\%\end{gathered}

Total jerseys

Number of medium-sized jerseys

×100

=

350

154

×100

=0.44×100=44%

<h3>Therefore , the percent of the jerseys are medium-sized jerseys = 44%</h3>

6 0
2 years ago
Read 2 more answers
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