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AfilCa [17]
3 years ago
8

A slide was installed at the local swimming pool, as shown here What is the length of the slide?

Mathematics
2 answers:
tresset_1 [31]3 years ago
6 0
Original number 21.4709
Rounded to the nearest hundredth 21.471
podryga [215]3 years ago
6 0

Answer:

<h2>21.47 ft   <em> (rounded to the near hundreths)</em></h2>

Step-by-step explanation:

Pythagorean Theorem  : Right triangle with legs a and b and hypotenuse c

a=19        b = 10          c= x

<h3>19² + 10² = x²</h3><h3>361 +100 = x²</h3><h3>461 = x²</h3>

x = square root of 461

x= 21.4709...  (21.47 )

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An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th
adoni [48]

Answer:

Grade B score:

76 \leq x \leq 89    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

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Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62  

= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62  

=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26  

We have to find the value of x such that the probability is 0.05

P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26  

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7 0
3 years ago
What's -5x – 10 = 10
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-5x-10=10   x= -4

Work:
-5x-10=10
     +10  +10
______________
-5x=20
_______
-5    -5

x=-4


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