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Alona [7]
3 years ago
7

Please help!!-- What is the measure of arc AT in the circle O below?

Mathematics
1 answer:
Gala2k [10]3 years ago
4 0

Answer:

97

Step-by-step explanation:

Arc AT = angle at the center 97°

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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
Divide.
algol13

Answer:

Answer in simplified form is - 10 1/2 .

Step-by-step explanation:

We have given,

(5 1/4) ÷ (- 2 1/2)

This can be simplified as :

(5 1/4) ÷ ( -2 1/2)

Since 5 1/4 = 21/4  and -2 1/ 2 = -5/2

So we can write,

(5 1/4) ÷ ( -2 1/2) = 21/4 ÷ ( - 5/2)

or (21/4) / (-5/2)

or ( 21/4) * (-2/5)

or -42/20

or -21/10

or - 10 1/2 , this is the answer

Hence we get answer in simplified form as -10 1/2

7 0
3 years ago
The chef has 250 children to feed. If he feeds 50 children an hour, how many children will he still need to feed in 2 hours?
Alborosie
The answer is 100 bc u got to put it into a proportion
7 0
3 years ago
Linda has already written 37 pages and she writes 8 pages per hour. Let P be the total pages written and h the number of hours s
Klio2033 [76]

Answer:

                           

Step-by-step explanation:

7 0
2 years ago
6. Solve for the variable: 11x - 22 = -11x - 22
pentagon [3]
11x-22=-11x-22
11x+11x=-22+22
22x=0
x=0/22
x=0
Then the answer is option B
8 0
3 years ago
Read 2 more answers
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