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fgiga [73]
3 years ago
15

the length of a rectngle is 8/3 times as great as its widthwhat is the width if the length of a rectangle is 24 ft.

Mathematics
1 answer:
laila [671]3 years ago
4 0
L=(8/3)W = 24 ft.  Solving for W, we mult. both sides of this eqn by (3/8), obtaining

W = (3/8)(24 ft) = 9 ft (answer)
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The national average sat score (for verbal and math) is 1028. if we assume a normal distribution with standard deviation 92, wha
elena55 [62]

Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92

The 90th percentile score is nothing but the x value for which area below x is 90%.

To find 90th percentile we will find find z score such that probability below z is 0.9

P(Z <z) = 0.9

Using excel function to find z score corresponding to probability 0.9 is

z = NORM.S.INV(0.9) = 1.28

z =1.28

Now convert z score into x value using the formula

x = z *σ + μ

x = 1.28 * 92 + 1028

x = 1145.76

The 90th percentile score value is 1145.76

The probability that randomly selected score exceeds 1200 is

P(X > 1200)

Z score corresponding to x=1200 is

z = \frac{x - mean}{standard deviation}

z = \frac{1200-1028}{92}

z = 1.8695 ~ 1.87

P(Z > 1.87 ) = 1 - P(Z < 1.87)

Using z-score table to find probability z < 1.87

P(Z < 1.87) = 0.9693

P(Z > 1.87) = 1 - 0.9693

P(Z > 1.87) = 0.0307

The probability that a randomly selected score exceeds 1200 is 0.0307

5 0
3 years ago
What is the area of a parallelogram if is length is x+1 and height is x+8?
Irina-Kira [14]

Answer:

8 square units

Step-by-step explanation:

x + 1 = 0

x = -1

x + 8 = 0

x = -8

Area = (-1) * (-8) = 8 square units

3 0
3 years ago
10 = z/2 + 7<br> Help please..??
laila [671]
10 = \frac{z}{2} + 7\\\\3 = \frac{z}{2}\\\\\boxed{\bf{z = 6}}
7 0
3 years ago
Read 2 more answers
Which description does NOT guarantee that a quadrilateral is a rectangle?
grandymaker [24]
The answer would be : A parallelogram with congruent sides does NOT guarantee that a quadrilateral is a rectangle  
7 0
3 years ago
the Firefighter ladder of the length 17 was kept at the at a distance of 8 metres from the building to reach the window of the b
Andre45 [30]

Answer:

The answer is 15 units hope that helps

Step-by-step explanation:

Apply pythagorean formulae here

Take the 17 as hypotenuse... And 8 as the base....

So the pythagorean formulae is

( hypotenuse) Square = (height) Square + (base) Square......

Hence put the values and the height comes as 15 units

BTW are u Indian?...

6 0
3 years ago
Read 2 more answers
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