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tester [92]
3 years ago
13

A line contains points M(1, 3) and N(5, 0). What is the slope of MN? negative StartFraction 4 Over 3 EndFraction negative StartF

raction 3 Over 4 EndFraction StartFraction 3 Over 4 EndFraction StartFraction 4 Over 3 EndFraction
Mathematics
2 answers:
Leto [7]3 years ago
8 0

Answer:

The slope would be -3/4

Step-by-step explanation:

Since, slope of a line having end points (x_1, y_1) and (x_2, y_2) is,

m=\frac{y_2-y_1}{x_2-x_1}

Here, line segment MN contains end points M(1, 3) and N(5, 0)

i.e.

x_1 = 1, y_1 = 3, x_2 = 5, y_2 = 0

Thus, the slope of line MN would be,

m=\frac{0-3}{5-1}=\frac{-3}{4}

Roman55 [17]3 years ago
4 0

<h3>(x1,x2), (y1,y2)</h3><h3>(1,3), (5,0)</h3>

0-3/5-1

-3/4

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A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data
Rasek [7]

Answer: a. 1.981 < μ < 2.18

              b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

\overline{x}=\frac{\Sigma x}{n}

\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}

\overline{x}= 2.08

Now, we estimate standard deviation:

s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }

s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }

s = 0.1564

For t-score, we need to determine degree of freedom and \frac{\alpha}{2}:

df = 12 - 1

df = 11

\alpha = 1 - 0.95

α = 0.05

\frac{\alpha}{2}= 0.025

Then, t-score is

t_{11,0.025} = 2.201

The interval will be

\overline{x} ± t.\frac{s}{\sqrt{n} }

2.08 ± 2.201\frac{0.1564}{\sqrt{12} }

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

8 0
3 years ago
To solve 1/3 divided by 9 James thinks of dividing a loaf of bread
garri49 [273]

Answer:

it would be 0.3 with bar notation

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
3. If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete senten
Rzqust [24]

There ar 4persons so each will pay

\\ \sf\longmapsto \dfrac{83.90}{4}=20.975

Only two persons have spent more money than everyone average i.e mia and Jasmin.

Now

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Mia left more money so she saved most money.

7 0
2 years ago
If E F = 7 , A C = 16 , and A F = 9
Vilka [71]

Answers:

CB = 14

GF = 8

FB = 9

EF is parallel to CB

====================================

Explanations:

Points E and F are midpoints of their respective sides. They form the midsegment EF. Because EF is a midsegment, A midsegment is half the length of its parallel counterpart, so CB is two times longer than EF. If EF is 7 units long, then CB = 2*EF = 2*7 = 14

For similar reasons, GF is parallel to AC. If AC = 16, then half of that is GF = (1/2)*AC = 0.5*16 = 8.

FB = FA = 9 as these segments have the same single tickmark to indicate they are the same length

EF is parallel to CB because EF is a midsegment, and this is one of the properties of being a midsegment. We can show that quadrilateral EGBF is a parallelogram to help prove this.

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3 years ago
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Hunter-Best [27]

Answer:

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So did I get them 5 bucks?

4 0
2 years ago
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