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2 years ago

A line and two triangles are shown on the coordinate plane.

Mathematics

1 answer:

harkovskaia [24]2 years ago

4 0

The slope between D and B is the same as the slope between E and F because BC/DC = GE/GF = ½.

<h3>Slope of a Line</h3>

Slope = rise / run = change in y / change in x

Any two points on a line will have the same slope.

Find the slope between D and B:

Slope of DB = BC/DC

Slope of DB = 3 units / 6 units

Slope of DB = ½

Find the slope between E and F:

Slope of EF = GE/GF

Slope of EF = 2 units / 4 units

Slope of EF = ½

Therefore, the slope between D and B is the same as the slope between E and F because BC/DC = GE/GF = ½.

Learn more about slope on:

brainly.com/question/3493733

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alukav5142 [94]

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2 years ago

What's the answer to this problem.

frutty [35]

The answer is B. by SAS

8 0

2 years ago

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For women aged 19-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation

Mrac [35]

Answer: p = 0.00714

Step-by-step explanation:

Since the population standard deviation of the distribution is known, the z test ( which produces the z score) is the perfect test for finding the probability of the data set in the question.

From the question,

Population mean (u) = 114.8

Sample mean (x) = 121.5

Population standard deviation (σ) = 13.1

Sample size (n) = 23

The z score formulae is given below as

Z = x - u/σ/√n

Z = 121.5 - 114.8/(13.1/√23)

Z = 6.7/(13.1/√23)

Z = 6.7/2.731

Z = 2.45.

The question is interested in knowing the probability of mean systolic blood pressure greater than 121.5.

This implies that we are looking for the probability at which our z score is greater than 2.45: P(z>2.45)

The z score (z=2.45) has divided the distribution into two regions, z< 2.45 ( area to the left of the distribution) and z>2.45 ( area to the right of distribution).

Hence, p(z>2.45) + p(z<2.45) = 1

To get a the probability, we have to use a standard normal distribution table.

The table we have here gives probability of the distribution to the left ( that's area towards the left), hence we need to find p(z<2.45) first

From the table p(z<2.45) = 0.99286

But p(z>2.45) = 1 - p(z<2.45)

p(z>2.45) = 1 - 0.99286

p(z>2.45) = 0.00714

8 0

3 years ago

A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medica

expeople1 [14]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

$M = \frac{1850 + 2000}{2} = 1925$

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.898

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

Since $M = 75, T = 2.898, n = 18$

$M = T\frac{s}{\sqrt{n}}$

$75 = 2.898\frac{s}{\sqrt{18}}$

$s = \frac{75\sqrt{18}}{2.898}$

$s = 109.7992$

The sample standard deviation is of 109.7992 calories.

6 0

2 years ago

Please help Maggie's brother is 3 years younger than twice her age. The sum of their ages is 30.

denpristay [2]

I’m not sure if this is correct but this is the way i would solve it.

first, make an equation with the given information

2x-3=30

Then, add three to both sides

2x=33

Finally, divide both sides by 2

x= 16.5

x represents the age of maggie so all you have to do is plug the solution into the equation to check your answer.

2(16.5)-3= 30

7 0

2 years ago

Read 2 more answers