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2 years ago

Can someone find the slope of these points- (8,20) and (4,61)

Mathematics

2 answers:

tino4ka555 [31]2 years ago

7 0

The equation for a slope is y2 - y1/x2-x1

61-20/4-8

41/-4

Archy [21]2 years ago

7 0

Answer:

The slope -41/4.

Step-by-step explanation:

Slope formula:

$\displaystyle \frac{Y_2-Y_1}{X_2-X_1}$

$\displaystyle \frac{61-20}{4-8}=\frac{41}{-4}=-\frac{41}{4}$

Therefore, the slope is -41/4, and the correct answer is -41/4.

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Calibrating a scale:

lana66690 [7]

Answer:

We conclude that the calibration point is set too high.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1000 grams

Sample mean, $\bar{x}$ = 1001.1 grams

Sample size, n = 50

Alpha, α = 0.05

Population standard deviation, σ = 2.8 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1000\text{ grams}\\H_A: \mu > 1000\text{ grams}$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{ 1001.1 - 1000}{\frac{2.8}{\sqrt{50}} } = 2.778$

Now, $z_{critical} \text{ at 0.01 level of significance } = 2.326$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. We accept the alternate hypothesis. We conclude that the calibration point is set too high.

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2 years ago

Question 10 of 20

Alex17521 [72]

Answer:

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Step-by-step explanation:

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Henry has 20 Lawns mowed out of a total of 50 lawns. What percentage of the lawns does Henry have to still mow?

elena55 [62]

Henry has completed 40% of his work, leaving him with a remaining 60%.

What you do is divide 20 by 50 and your answer is .4, move the decimal two places to the right to get your percent, 40. Then subtract it out of 100 and you get the remaining 60%, which essentially is your answer.

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2 years ago

1) -6k+ 7k

Sergio [31]

Answer:

1. k

2. 12r-20

3. 10n-13

4. -6x

5. -11r

6. 4x+11

Step-by-step explanation:

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2 years ago

Could someone help me with this? Please No guessing! Explain how you got the answer! And make sure your answer is correct! :) th

stealth61 [152]

The numbers on the left represent 10 times that number

The numbers on the right are added to the end of the number on the left so

3I1=31 and 4I8=48 and 3I 1 1 2= 31 31 32

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2 years ago