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Setler [38]
3 years ago
10

Lana's toy boat can sail 7 1/2 yards in 4 1/6 minutes. How far would it sail in 8 3/4 minutes if kept the same pace?

Mathematics
1 answer:
Inessa [10]3 years ago
8 0

Answer:

63/4

Step-by-step explanation:

Let the sails yard in 8 3/4 minutes= X

7 1/2 yards sails= 4 1/6 minutes

X = 8 3/4 minutes

Let us Convert the fraction to improper fraction

4 1/6 minutes= 25/6 minutes

8 3/4 minutes= 35/4 minutes

7 1/2 yards sails= 15/2 sails yard

Then

15/2 yards sails= 25/6 minutes

X = 35/4 minutes

If we cross multiply

25/6 X = 15/2 × 35/4

25/6 X =525/8

6 × 525= (25× 8)X

3150= 200X

X= 3150/200

X=63/4

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Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute in
stiks02 [169]

Answer:

a) The null and alternative hypothesis are:

H_0: \pi=0.53\\\\H_a:\pi

b) If 300 families were sampled, for a significance level of 5%, there is enough evidence to support the claim that a smaller proportion of American families own stocks or stock funds this year than 10 years ago (P-value = 0.001).

 

Step-by-step explanation:

The claim that we want to have evidence to support is that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.

The hypothesis for this test should state:

- For the null hypothesis, that the population proportion is not significantly different from 53%.

H_0:\pi=0.53

- For the alternative hypothesis, that the population proportion is significantly less than 53%.

H_a: \pi

If 300 families are sampled, we can perform a hypothesis test for a proportion.

The claim is that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.

Then, the null and alternative hypothesis are:

H_0: \pi=0.53\\\\H_a:\pi

The significance level is 0.05.

The sample has a size n=300.

The sample proportion is p=0.44.

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.53*0.47}{300}}\\\\\\ \sigma_p=\sqrt{0.00083}=0.029

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.44-0.53+0.5/300}{0.029}=\dfrac{-0.088}{0.029}=-3.065

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z

As the P-value (0.001) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.

3 0
3 years ago
25 Points! Please tell me how to answer this.
IrinaK [193]

Answer: ....

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5 0
2 years ago
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Answer:

Step-by-step explanation:

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5 0
3 years ago
Round seven point seven six to one decimal place
Rzqust [24]
7.76 to one decimal place

= 7.8

We are looking at one decimal place, in this case the number 7 after the decimal place next to 6. Any number above 5 rounds up the number in front of it. 6 is above 5 so it changes the 7 to an 8.
6 0
3 years ago
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Answer:

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Step-by-step explanation:

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