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satela [25.4K]
2 years ago
11

Identify the slope of the line y−1=−6(x−3).

Mathematics
2 answers:
geniusboy [140]2 years ago
7 0

Answer:

The slope of the line is -5

olga nikolaevna [1]2 years ago
4 0
The slope is -6.

In the point-slope form, y - y1 = m(x - x1):

“(x1, y1)” represents (3, 1) coordinate
“m” represents the slope, -6

Therefore, the slope of the point-slope form, y - 1 = -6(x - 3), is -6.
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The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 6%.
irakobra [83]

Answer:

a. 0.8366

b. No

Step-by-step explanation:

We will use the central limit theorem which can be applied to a random sample from any distribution as long as the mean and the variance are both finite and the sample size is large (the sample size n should be greater than 30). Here we have that the tip percentage at the restaurant has a mean value of 18% and a standard deviation of 6%, then because of the central limit theorem, we know that the sample mean tip percentage is approximately normally distributed with mean 18% and standard deviation 6/\sqrt{40}%=0.9487%.

a. The z-score related to 16% is given by (16-18)/0.9487 = -2.1081 and the z-score related to 19% is given by (19-18)/0.9487 = 1.0541. We are looking for P(16 < \bar{X} < 19) = P(-2.1081 < Z < 1.0541) = P(Z < 1.0541)- P(Z < -2.1081) = 0.8540 - 0.0175 = 0.8366

b. If the sample size had been 15 rather than 40, then, the probability requested in part (a) could not be calculated from the given information, this because the central limit theorem only applies when the sample size is large, for example n > 30.

8 0
3 years ago
I need this answered its due soon
mixer [17]
<h2><u>C D E</u></h2>

A is false because this graph doesn't have any relative minimums because it never increases

B is false because this graph never increases

C is true

D is true because the graph never goes below 3, but it's blurry so I might be wrong

E is true because it never stops decreasing and has a domain of all real numbers

7 0
2 years ago
Simplify 5x(3x^2+2x-3)
Tcecarenko [31]

Answer:

15x^3 +10x^2 - 15x

Step-by-step explanation:

Hello!

Use the distributive property and multiply like terms.

<h3>Simplify</h3>
  • 5x(3x^2 + 3x - 3)
  • 5x(3x^2) + 5x(2x) + 5x(-3)
  • 15x^3 +10x^2 - 15x

The simplified form is 15x^3 +10x^2 - 15x.

4 0
1 year ago
Read 2 more answers
(-3.7)to the power of 5
Nina [5.8K]

Answer:

-693.43957

Step-by-step explanation:

-3.7^5

6 0
3 years ago
The radius of the front wheel of Paul's bike is 63cm. Paul goes for a cycle and travels 69.89km. How many full revolutions did P
Rudiy27

Answer: 17,649

Step-by-step explanation:

Given

The radius of the cycle is r=63\ cm

Distance traveled by Paul is 68.89\ km

Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.

\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m

No of revolution made by wheel

\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649

7 0
3 years ago
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