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sesenic [268]
3 years ago
6

The sum of three consecutive odd integers is 345. Find the three integers.

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0
113,115,117 if you add them up you should get 345
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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’s 1.2983 rounded to the nearest hundredth
KengaRu [80]
1.30 :)
All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !
Hope this helped !!!
3 0
3 years ago
Whats -3u + 5 if u=2​
ivann1987 [24]

Answer:

-1

Step-by-step explanation:

-3(2) = -6 + 5 = -1

4 0
2 years ago
Read 2 more answers
45÷___=-5 what is the answer?
tatyana61 [14]

negative 8 because 45/-9 = -5

4 0
3 years ago
Read 2 more answers
The coordinates of triangle FGH are F(2, 4), G(5, −9) and H(−3, −4). Which statement proves that triangle FGH is a right triangl
Elden [556K]
The equation of the slope is given by:
 m = (y2 - y1) / (x2 - x1)
 For GH we have:
 m = (-4 - (-9)) / (-3 - 5)
 m = (5) / (-8)
 m = -5 / 8
 For FH we have:
 m = (-4 - 4) / (-3 - 2)
 m = (-8) / (-5)
 m = 8/5
 Answer:
 
C) The slope of GH = - 5/8, and the slope of FH = 8/5; therefore, GH ⊥ FH
3 0
3 years ago
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