The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hours. The Thompson family's sprinkler was used for hours. There was a combined total output of of water. What was the water output rate for each sprinkler if the sum of the two rates was per hour

Answers

Answer 1

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr


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Answer:

D

Step-by-step explanation:

The amount of oil and natural gas a given region produces is not always proportionate to the size of its proven reserves. For example, the Middle East contains approximately 50 percent of the world’s proven reserves but accounts for only about 30 percent of global oil production (though this figure is still higher than in any other region). The United States, by contrast, lays claim to less than 2 percent of the world’s proven reserves but produces roughly 16 percent of the world’s oil.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Suppose X∼N(6.5,1.5), and x=3.5. Find and interpret the z-score of the standardized normal random variable. Provide your answer below:

Answers

Answer: x= 3.5 is -2. The mean is 6.5.

z score to the left is 2

Step-by-step explanation:

X is a normally distributed random variable with μ=6.5 (mean) and σ=1.5 (standard deviation). To calculate the z-score,

z=x−μσ=3.5−6.51.5=−31.5=−2

This means that x=3.5 is two standard deviations (2σ) below or to the left of the mean. This makes sense because the standard deviation is 1.5. So, two standard deviations would be (2)(1.5)=3, which is the distance between the mean (μ=6.5) and the value of x (3.5).

Using the normal distribution, it is found that x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.

--------------------------------

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure X is from the mean, above or below.  

X∼N(6.5,1.5), which means that [tex]\mu = 6.5, \sigma = 1.5[/tex].The measure is [tex]X = 3.5[/tex]

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3.5 - 6.5}{1.5}[/tex]

[tex]Z = -2[/tex]

The measure x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.

A similar problem is given at https://brainly.com/question/13383035

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Answer:

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Answers

Answer:

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Step-by-step explanation:

In this question, you have to simplify the expression.

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An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to five locations, and a control was applied to the other 3. How many different choices were there for the five locations to apply the new ointment

Answers

Answer:

There were 56 different choices for the five locations to apply the new ointment.

Step-by-step explanation:

The order of the locations in which the new ointment was applied is not important. So we use the combinations formula to solve this question.

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How many different choices were there for the five locations to apply the new ointment

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Calculus

Differentiation

DerivativesDerivative Notation

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

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Identify

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Step 2: Differentiate

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

9514 1404 393

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__

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Answer:

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Step-by-step explanation:

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