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allsm [11]
3 years ago
11

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 96 ​yards, what are its​

dimensions?
What is the​ width? ______
What is the​ length? ______
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
Width = x
length = 2x

96 = x + x + 2x + 2x
96 = 6x
x = 16

2x is simply 16 × 2.
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timama [110]

Answer:

3⁷

Step-by-step explanation:

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when dividing an exponent by another exponent (with again, the same base number) you subtract the exponents like this: 3⁶÷3² or 3⁶/3² would equal 3⁴

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DE is a midsegment of AABC . Find the value of x .<br> B<br> х<br> 5<br> А
Ugo [173]

Answer:

x = 10

Step-by-step explanation:

DE is the midsegment joining the midpoints of BC and AC respectively.

Therefore, by the property of midsegment of a triangle,

DE will be parallel and half of the measure of the third side of the triangle.

DE = \frac{1}{2}(AB)

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3 years ago
A shoe store is selling a pair of shoes for $60 that has been discounted by 20%. What was the original selling price? Show your
anzhelika [568]

Answer:

The original selling price was \$75

Step-by-step explanation:

Let

x-----> the original selling price

we know that

100\%-20\%=80\%=80/100=0.80

so

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solve for x

Divide by 0.80 both sides

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8 0
4 years ago
. Find each of the following probabilities for a normal distribution. a. p(21.80 , z , 0.20) b. p(20.40 , z , 1.40) c. p(0.25 ,
Ulleksa [173]

Correct question is;

A. p(-1.80 < z < 0.20 )

B. p(-0.4 < z < 1.4)

C. p(0.25 < z < 1.25)

D. p(-0.9 < z < -0.6)

Answer:

A) p(-1.80 < z < 0.20) = 0.54333

B) p(-0.4 < z < 1.4) = 0.57466

C) p(0.25 < z < 1.25) = 0.29564

D) p(-0.9 < z < -0.6) = 0.90981

Step-by-step explanation:

A) p(-1.80 < z < 0.20 )

This gives us;

P(z < 0.2) - P(z < -1.8)

From z-distribution tables;

P(z > 0.2) = 0.57926

And P(z < -1.8) = 0.03593

Thus;

p(-1.80 < z < 0.20) = 0.57926 - 0.03593 p(-1.80 < z < 0.20) = 0.54333

B) p(-0.4 < z < 1.4)

This gives us;

P(z < 1.4) - P(z < -0.4)

From z-distribution table, we have;

P(z > 1.4) = 0.91924

P(z < -0.4) = 0.34458

Thus;

p(-0.4 < z < 1.4) = 0.91924 - 0.34458

p(-0.4 < z < 1.4) = 0.57466

C) p(0.25 < z < 1.25)

From z-distribution table, we have;

P(z < 0.25) = 0.59871

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Now, to solve this;

p(0.25 < z < 1.25) = 1 - (P(z < 0.25) + P(z > 1.25))

This gives;

p(0.25 < z < 1.25) = 1 - (0.59871 + 0.10565)

p(0.25 < z < 1.25) = 0.29564

D) p(-0.9 < z < -0.6)

From z-distribution table, we have;

P(z < -0.9) = 0.18406

P(z > -0.6) = 0.72575

Thus;

p(-0.9 < z < -0.6) = 0.18406 + 0.72575

p(-0.9 < z < -0.6) = 0.90981

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3 years ago
Which of the following is the best definition of a circle?
olga55 [171]

Answer:

The set of all points on a plane equidistant to a given point.

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