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Agata [3.3K]
3 years ago
9

A square has a side lengths of 9, use the pythagorean theorem to find the length of the diagonal

Mathematics
1 answer:
Semmy [17]3 years ago
5 0

diagonal = 9√2 ≈ 12.73

the diagonal splits the square into 2 right triangles with the hypotenuse being the diagonal of the square

using Pythagoras' identity

d = √(9² + 9²) = √162 = 9√2 ≈ 12.73 ( to 2 dec. places )


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3 years ago
Assume the random variable X is normally distributed with mean muequals50 and standard deviation sigmaequals7. Find the 87 th pe
serious [3.7K]

Answer:

  57.885

Step-by-step explanation:

For such calculations a probability calculator is very helpful. The one in the attachment shows the 87th percentile to be 57.885.

___

A table of the standard normal distribution will tell you the 87th percentile corresponds to a z-value of 1.12639. Then the X value is ...

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7 0
3 years ago
A box of fruit has four times more peaches than plums.
Ugo [173]

Answer:

The number of plums = 4

The number of peaches =  16

The number of nectarines =  1

Step-by-step explanation:

Let the number of peaches be = x

Let the number of nectarines be = y

Let the number of plums be = z

A box of fruit has four times more peaches than plums. This means that

The number of peaches = 4 X the number of plums.

i.e x = 4z

The box has 3 fewer nectarines than plums. This means that

Number of nectarines = number of plums - 3

i.e y = z - 3

If the box contains 21 pieces of fruit, this means that if we sum up all the peaches, nectarines, and plums in the box, we will get 21.

Peaches + Nectarines + Plums = 21

4z + z-3 + z = 21

6z =21 +3

z = 24/6

z = 4

Therefore, the number of plums = 4

The number of peaches = 4 X 4 = 16

The number of nectarines = 4 -3 = 1

7 0
3 years ago
How do you solve 1/2x<13?
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4 0
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masha68 [24]

Answer:

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Step-by-step explanation:

$39 for 24 months comes to ...

$39 × 24 = $936

The "carrying charges" are the difference between the cash price and the installment price:

$936 -750 = $186

 Saving at the rate of $39 per month, it would take ...

  $750/$39 = 19.23 months   about 20 months to save up the cash price.

Often, such savings would come from a once-a-month paycheck, so it would take more than 19 such paychecks to save the required amount.

hope it will help :)

3 0
3 years ago
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