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Tanya [424]
3 years ago
15

A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?

Mathematics
1 answer:
Ber [7]3 years ago
7 0

Answer: 12m^2+19m-18

Step-by-step explanation:

Given

Speed of boat v=3m-2\ \text{knots per hour}

\text{time t= }4m+9\ \text{hours}

\Rightarrow \text{Distance =speed}\times \text{time}

\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18

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Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The
sattari [20]

Answer:

C. H0 : p = 0.8 H 1 : p ≠ 0.8

The test is:_____.

c. two-tailed

The test statistic is:______p ± z (base alpha by 2) \sqrt{\frac{pq}{n} }

The p-value is:_____. 0.09887

Based on this we:_____.

B. Reject the null hypothesis.

Step-by-step explanation:

We formulate null and alternative hypotheses as  proportion of people who own cats is significantly different than 80%.

H0 : p = 0.8 H 1 : p ≠ 0.8

The alternative hypothesis H1 is that the 80% of the  proportion is different and null hypothesis is , it is same.

For a two tailed test for significance level = 0.2 we have critical value  ± 1.28.

We have alpha equal to 0.2  for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28

The test statistic is

p ± z (base alpha by 2) \sqrt{\frac{pq}{n} }

Where p = 0.8 , q = 1-p= 1-0.8= 0.2

n= 200

Putting the values

0.8 ± 1.28 \sqrt{\frac{0.8*0.2}{200} }

0.8 ± 0.03620

0.8362, 0.7638

As the calculated value of z lies within the critical region  we reject the null hypothesis.

8 0
2 years ago
Alex was thinking of a number. Alex subtracts 14 from it and gets an answer of 29.6. What was the original number?
vekshin1
29.6 + 14 = 43.6
43.6 - 14 = 29.6

Hope this helped!
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Heather invested $8000 in a 4- year certificate of deposit (CD) that pays 4.1 interest compound annually. What is the value of t
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Answer: use a slope calculator

-1/6

Step-by-step explanation:

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How long does it take for a car to travel 250 feet at 35 mph?
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