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erastovalidia [21]
2 years ago
15

The graph shows the side view of a waterslide. dimensions are in feet.

Mathematics
2 answers:
Vika [28.1K]2 years ago
4 0

Answer:

EDGE 2020:

Step-by-step explanation:

the first part is (0,_80_), (_5_,40)

the second part is -8

the third part is -2

trust me

Zinaida [17]2 years ago
3 0

Two points on slide are (0, 80), (5, 40).

Step-by-step explanation:

The graph shows the side view of a waterslide and its dimensions are in feet.

First to find (0, ___) and then to find (____, 40).

In the first point <em>x</em>-coordinate is 0 and <em>y</em>-coordinate for the corresponding <em>x</em>-coordinate is 80.

In the second point <em>y</em>-coordinate is 40 and the <em>x</em>-coordinate for the corresponding <em>y</em>-coordinate is 5.

So, the two points are (0, 80), (5, 40).

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First, let's subtract the whole pool by the water currently in to find the water needed to fill it:
4500 - 1500 = 3000
Because we need to represent an inequality:
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2 years ago
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Emma calculated the slope of the downhill hike to be . Her work is shown below. Determine whether her calculation was correct or
Greeley [361]

Answer:

  • Emma made a mistake. The slope should be -40.

Step-by-step explanation:

<u>Pair of points (x, y):</u>

  • (165, 900) and (180, 300)

<u>Slope formula:</u>

  • m = (y₂ - y₁)/(x₂ - x₁)

<u>Calculate the slope:</u>

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2 years ago
A brewery produces cans of beer that are supposed to contain exactly 12 ounces. But owing to the inevitable variation in the fil
MArishka [77]

Answer:

T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)

P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solutio to the problem

Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:

X \sim N(12,0.3)  

Where \mu=12 and \sigma=0.3

For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.

The definition of sample mean is given by:

\bar X = \frac{\sum_{i=1}^n X_i}{n} = \frac{T}{n}

If we solve for the total T we got:

T= n \bar X

For this case then the expected value and variance are given by:

E(T) = n E(\bar X) =n \mu

Var(T) = n^2 Var(\bar X)= n^2 \frac{\sigma^2}{n}= n \sigma^2

And the deviation is just:

Sd(T) = \sqrt{n} \sigma

So then the distribution for the total would be also normal and given by:

T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)

And we want this probability:

P(T\leq 72)

And we can use the z score formula given by:

z = \frac{x-\mu}{\sigma}

P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z

6 0
2 years ago
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Answer:

They are parallel because their slopes are equal

Step-by-step explanation:

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gayaneshka [121]
Price before tax = $18

Tax = 7% x $18 = 0.07 x 18 = $1.26

Price after tax = $18 + $1.26 = $19.26

Answer: $19.26
3 0
2 years ago
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