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3 years ago

Graph y+6=45(x+3) using the point and slope given in the equation

Mathematics

1 answer:

il63 [147K]3 years ago

7 0

Step-by-step explanation:

We have been given an equation y+6=45(x+3) in point slope form.

It says to use the point and slope from given equation to create the graph.

So compare equation y+6=45(x+3) with point slope formula

y-y1=m(x-x1)

we see that m=45, x1=-3 and y1=-6

Hence first point is at (-3,-6)

slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).

Now we just graph both points (-3,-6) and (-2,39) and join them by a straight line. Final graph will look like the attached graph.

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It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute

NemiM [27]

Answer:

a) 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

b) 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mildly obese

Normally distributed with mean 373 minutes and standard deviation 67 minutes. So $\mu = 373, \sigma = 67$

A) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes?

So $n = 5, s = \frac{67}{\sqrt{5}} = 29.96$

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

$Z = \frac{410 - 373}{29.96}$

$Z = 1.23$

$Z = 1.23$ has a pvalue of 0.8907.

So there is a 1-0.8907 = 0.1093 = 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

Lean

Normally distributed with mean 526 minutes and standard deviation 107 minutes. So $\mu = 526, \sigma = 107$

B) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes?

So $n = 5, s = \frac{107}{\sqrt{5}} = 47.86$

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

$Z = \frac{410 - 526}{47.86}$

$Z = -2.42$

$Z = -2.42$ has a pvalue of 0.0078.

So there is a 1-0.0078 = 0.9922 = 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

7 0

3 years ago

PLEASE HELP EASY MATH!! NO LINKS! NEED FULL EXPLANATION!! (WILL GIVE BRAINLYIST!)

LenaWriter [7]

Answer:

Step-by-step explanation:

2x3 is 6x4 is 24+5 is 29

6+20 is 26

9x5 is 45

6+8 is 14x5 is 70

SO THIS MEANS THAT B IS YOUR ANSWER

4 0

3 years ago

198round to the nearest tens and hundreds

Xelga [282]

198 round to the nearest hundreds is 200
198 round to the nearest tens is 200 too

8 0

3 years ago

Helllp geometry! Pls!

creativ13 [48]

He should use the Pythagorean Theorem to find the missing length.

Since KT is tangent to the circle and TL reaches the center of circle L, the measure of angle LTK is 90 degrees. This means that triangle LTK is a right triangle which means the Pythagorean Theorem can be used.

So,
TL²+(12)²=(13)²
=> TL²+144=169
=> TL²=25
=> TL = 5

Therefore, the radius of circle L is 5 feet.

7 0

2 years ago

Simplify the expression<br>-7p + -2 + -2 + -10 + -9

lakkis [162]

Answer:

=−7p−23

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Graph ​ y+6=45(x+3) ​ using the point and slope given in the equation

Graph y+6=45(x+3) using the point and slope given in the equation