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Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

Get her done ...........................

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A scientist is interested in the effect of time spent with parents and number of hours

gladu [14]

Answer: If X = 5, z=-3

If X = 37, z= 3.4

Step-by-step explanation:

We know that the formula to find the z-score for any random variable x is given by :-

$z=\dfrac{x-\mu}{\sigma}$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation.

As per given , we have

$\mu=20\\\\\sigma=5$

Then , the z-score for x =5

$z=\dfrac{5-20}{5}=\dfrac{-15}{5}=-3$

i.e. If X = 5, z=-3

When x =37,then $z=\dfrac{37-20}{5}=\dfrac{17}{5}=3.4$

i.e. If X = 37, z= 3.4

7 0

3 years ago

the aquarium is a rectangular prism with dimensions 30in by 20in by 16 in. estimate the maximum volume of water it can hold

saw5 [17]

Answer:

9600 sq in

Step-by-step explanation:

30 x 20 x 16 = 9600

6 0

3 years ago

A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is

Gnoma [55]

Answer:

<h2>29.4 length and 21.4 width.</h2>

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this: $A_{total} = (L+6)(W+6)$ .

In addition, we know that the total area is 970 and the length is 8 ft longer than the width ( $L=W+8$ ). So:

$A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0$

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: $W_{1}=21.4$ and $W_{2}=-41.4$