Donovan: m=312.3 b=18.5<br> Find the slope of the linear model

The Williams family and the Robinson family each used their sprinklers last summer. The water output rate for the Williams famil

lisov135 [29]

Answer

The Williams family used their sprinkler for 40 hours.

The Robinson family used their sprinklers for 35 hours.

Explanation

Let the number of hours that the Williams family used their sprinklers be x hours

Let the number of hours that the Robinson family used their sprinklers be y hours

They both use their sprinklers for a combined total of 75 hours

x + y = 75 (equation 1)

And this resulted in a combined total water output of 2225 L

If the Williams used their 25 L per hour sprinkler for x hours,

Total water output for the Williams family = (25) (x) = (25x) L

If the Robinson used their 35 L per hour sprinkler for y hours,

Total water output for the Robinson family = (35) (y) = (35y) L

But, their combined total water output is 2225 L

25x + 35y = 2225 (equation 2)

x + y = 75

25x + 35y = 2225

On solving this simultaneous equation, we obtain that

x = 40 hours

y = 35 hours

Hope this Helps!!!

4 0

1 year ago

g People between the ages of 65 and 70 were studied to see if those who exercise more were healthier. One measure of health was

liubo4ka [24]

Answer:

If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.

Step-by-step explanation:

We have a group of people between agss of 65 and 70.

They are divided in two groups regarding their amount of exercise: "none", "moderate" and "high".

The response variable is blood pressure, that was categorized as "normal"or "high".

Then, we have the frequencies table as:

Amount of exercise None Moderate High

Blood pressure High 54 23 7

Blood pressure Normal 86 76 32

We have to calculate the probability that, given that the person had high blood pressure, he or she did not exercise.

If the person had high blood pressure, it can be of the any of the 3 groups of exercise amount. There are 54 people with high blood pressure that did not exercise, 23 that did moderate amount of exercise, and 7 that did a high amount.

Then, the probability can be calculated dividing the amount of people that had high blood pressure and did not exercise, by all the people that have high blood pressure (regarding the amount of exercise):

$P(N | HP)=\dfrac{54}{54+23+7}=\dfrac{54}{84}=0.643$