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3 years ago

5

Andre rode his bike at a constant speed. He rode 8 miles in 1 hour. Which of these equations represents the total distance of mi

les that he
rides in a given amount of time (in hours)?
d = 1/8t
d-81
d-t+8
dt-8
HURRY WILL GIVE BRAINLIEST

2 answers:

kherson [118]3 years ago

4 0

Answer:I think A. D=1/8t

Dimas [21]3 years ago

4 0

A is the correct answer!

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Car #1 travels 105 miles in 5 hours. Car #2 travels 252 miles in 3

professor190 [17]

Answer:

21 miles/hour

Step-by-step explanation:

Let s= speed of car #1

s=105miles÷5hours

s=21 miles/hour

7 0

3 years ago

What is 0.7, 0.755, 5/8 from least to greatest?

Margarita [4]

I like to start by turning all my numbers into the same form. You can go either way but I am going to turn the decimals into fractions. so 0.7 is the same as 7/10.

0.755 is like 755/1000 which can be reduced to 151/200 (if you don't understand the convertions let me know i will explaine more.)

Next give all the fractions a common denominator. both 8 and 10 go into 200 so we can use that. 151/200 already has a denominator of 200 so that one is set.
for 7/10 well, 10 time 20 is 200 so multiply both the numerator and the denominator by 20 so you get 140/200
the last one is 5/8 8 times 25 is 200 so multiply both numbers by 25 to get 125/200

the fractionos we have are 125/200 151/200 and 140/200. Now because they all have the same denominator the one with the lowest numerator is the least number and the one with the highest number is the greatest number.

125/200 140/200 151/200 now just replace the original number with the order they are placed in.
125/200 was 5/8
140/200 was 0.7
151/200 was 0.755
so the final answer is
5/8, 0.7, 0.755

6 0

4 years ago

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

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3 years ago

A survey of 2,000 doctors showed that an average of 3 out of 5 doctors use brand X aspirin. How many doctors use brand X aspirin

Ber [7]

2000 times 0.60 = 1200 doctors

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3 years ago

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Write the slope-intercept form of the equation of the line.<br> 5x - 2y = 2

FinnZ [79.3K]

The answer is y= 5/2x-1

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3 years ago