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3 years ago

What is the slope of a line perpendicular to the line who’s equation is x-y=5 fully reduce your answer

Mathematics

1 answer:

Yakvenalex [24]3 years ago

6 0

Answer:

-1

Step-by-step explanation:

Use the slope intercept formula(y=mx+b) to find the slope of a line.

First, you will want to put everything into it's proper order, so you will get -y=-x+5.

You cannot have a negative y, so divide everything by -1 and you will get y=x-5.

1 is the slope. Now that you know that, you will want to find the reciprocal. To find the reciprocal, you will need to swap the numerator and the denominator and then swap it's sign, whether that is positive or negative..

The reciprocal of 1 is -1. -1 is the slope of the perpendicular line

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IgorLugansk [536]

Answer:

10.35 miles in 1 hout

Step-by-step explanation:

I'm Sorry if this wrong.

5 0

3 years ago

Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x<110)? (The greater than sign is act

kvasek [131]

Using the normal distribution, the probability that x is less than 110 is:

A. 0.975.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

$\mu = 98, \sigma = 6$

The probability is the <u>p-value of Z when X = 110</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{110 - 98}{6}$

Z = 2

Z = 2 has a p-value of 0.975.

Hence option A is correct.

More can be learned about the normal distribution at brainly.com/question/15181104

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5 0

2 years ago

A liquid oral concentrate of morphine sulfate contains 2.4 g of morphine sulfate in a 120-mL bottle. Calculate the concentration

MrMuchimi

Answer:

20 mg/ml.

Step-by-step explanation:

We have been given that a liquid oral concentrate of morphine sulfate contains 2.4 g of morphine sulfate in a 120-mL bottle.

$\text{Concentration of morphine sulfate on g/mL basis}=\frac{\text{2.4 g}}{\text{120 ml}}$

To convert the concentration of morphine sulfate on a mg/mL basis, we need to convert 2.4 grams to milligrams.

1 gram equals 1000 milligrams.

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{\text{2.4 g}}{\text{120 ml}}\times\frac{\text{1,000 mg}}{\text{1 g}}$

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{2.4\times\text{1,000 mg}}{\text{120 ml}}$

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{2400\text{ mg}}{\text{120 ml}}$

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{20\text{ mg}}{\text{ml}}$

Therefore, the concentration of morphine sulfate would be 20 mg per ml.

5 0

3 years ago

Please show your work

Natali [406]

Answer:

You would be able to go 165 miles in total

Step-by-step explanation:

You are going 60 miles per hour, so that instantly brings you up to 120 miles, because you are there for 2 hours and 45 minutes. Because you are going exactly 60 mph, and each hour is 60 minutes, you can compare that you go 1 mile per minute. If this statement is true, you'll go another 45 miles, bringing you to a grand total of 165 miles.

6 0

4 years ago

Solve for x: −1 < x + 3 < 5

Art [367]

Answer:

B. −4 < x < 2

Step-by-step explanation:

−1 < x + 3 < 5

To make x the subject, subtract 3 across the inequality

−1 - 3 < x + 3 - 3 < 5 - 3

-4 < x < 2

8 0

3 years ago

Read 2 more answers