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Paladinen [302]
3 years ago
15

The difference HELPPP

Mathematics
1 answer:
Flauer [41]3 years ago
3 0

Answer:

5 and 2/10

Step-by-step explanation:

You have to have a common denominator

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Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

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

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
4 years ago
What is the center of a circle?<br> What is the radius of the circle?
lutik1710 [3]

Answer:

Center: (-9, -7)

Radius: 5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A whe
Nimfa-mama [501]

Answer:

18.8 cubic inches

Step-by-step explanation:

✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A

✔️Volume of Cup B = Volume of cylinder = πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 7 in.

Volume of cup B = π*1²*7 = 21.99 in.³

✔️Volume of Cup A = Volume of cone = ⅓πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 3 in.

Volume of cup B = ⅓*π*1²*3 = 3.14 in.³

✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)

7 0
3 years ago
Mali bought a new car. She drove 63 miles the first month and 64 miles the second month. How much further did she drive the seco
Anvisha [2.4K]

Answer:

64-63=1 so she drove 1 extra miles the second month

Step-by-step explanation:

4 0
3 years ago
Prove the following relations: <br>1) (1 - cos²A) (1 + tan²A) = tan²A​
liberstina [14]

Step-by-step explanation:

(1 - cos²A) (1 + tan²A) = tan²A

(sin²A)(sec²A) = tan²A

(sin²A)(1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → <u>Proved</u>

4 0
3 years ago
Read 2 more answers
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