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3 years ago

What's the perpindicular line of y+5=4(x+12)

1 answer:

6 0

The slope of this line is
−
12
5
.
Perpendicular lines have opposite reciprocal slopes. To find an opposite reciprocal, multiply by
−
1
and flip the numerator and denominator.
Hence the opposite reciprocal of
−
12
5
and the slope of a line perpendicular to a line with a slope of
−
12
5
is
5
12
.

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How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 90% confidence that

BlackZzzverrR [31]

Answer:

$n=(\frac{1.640(12)}{4})^2 =24.206 \approx 25$

So the answer for this case would be n=25 rounded up to the nearest integer

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".

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got $z_{\alpha/2}=1.640$ , replacing into formula (b) we got:

$n=(\frac{1.640(12)}{4})^2 =24.206 \approx 25$

So the answer for this case would be n=25 rounded up to the nearest integer

3 0

3 years ago

Read 2 more answers

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice

Lelechka [254]

Answer:

Could you please help me with a math quiz?!?

Step-by-step explanation:

6 0

2 years ago

An inlet pipe can fill an empty swimming pool in 5 hours, and another inlet pipe can fill the pool in 2 hours. How long will it

stich3 [128]

Answer:

1.42 hours

Step-by-step explanation:

In this case we must take into account that the speed would be to fill a pool for a time, that this case is in hours, therefore it would be like this:

1/5 for the first pipe

1/2 for the second pipe

Now, we will use both at the same time, therefore:

1/5 + 1/2 = 1 / x

0.7 = 1 / x

x = 1 / 0.7

x = 1.42

That is to say that if we use both we will take a total of 1.42 hours

3 0

3 years ago

A softball team has 12 girls on it. The coach needs to arrange 9 girls for the batting order. If the lineup is selected at rando

katovenus [111]

Answer: P = 1/12 = 0.083

Step-by-step explanation:

Out of the 12 girls, there will be only one that is the lead-off batter.

we can assume that this is the first being selected at random, then the probability that you will be the lead-off batter, is equal to the quotient between 1 (the outcome where you are selected) and 12 (the total number of outcomes)

Then the probability is:

P = 1/12 = 0.083

The fact that there will be an arrange of only 9 girls does not affect the probability of you getting the position of the lead-off batter.

5 0

3 years ago

Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."

Eddi Din [679]

Answer:

Inequality Form:

y<2

Interval Notation:

(−∞,2)

The answer your looking for is: y<2

7 0

2 years ago