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ira [324]
3 years ago
5

A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed.

How many students are younger than 16.2 years? Express answer to the nearest student.
Mathematics
1 answer:
Tom [10]3 years ago
7 0
16.2-15.8/0.6=0.6667. Use normalcdf() to find the percentage from -999 to 0.6777 which is 0.7476*625=467
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The sum of two numbers is 153. if four times the smaller number is subtracted from the larger​ number, the result is 18. find th
sleet_krkn [62]
X = larger number and y = smaller number

x + y = 153....x = 153 - y
x - 4y = 18

153 - y - 4y = 18
153 - 5y = 18
-5y = 18 - 153
-5y = -135
y = -135/-5
y = 27 <=== smaller number

x - 4y = 18
x - 4(27) = 18
x - 108 = 18
x = 18 + 108
x = 126 <== larger number
4 0
3 years ago
A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what
Elena L [17]

Answer:

The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199

Step-by-step explanation:

The given probability that the pitcher throws a strike, p = 0.507

The number of pitches thrown by the pitcher = 15 pitches

The probability that the pitcher does not throw a strike, q = 1 - P

∴  q = 1 - 0.507 = 0.493

By binomial theorem, we have;

P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}=  \dbinom{n}{r}p^{r} \cdot \left (1-p  \right )^{n-r}

When X = r =  8, and n = 15, we get;

The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows

P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199

8 0
3 years ago
What is the value of 9 + 21 (13 + 5)?
Leto [7]

Answer:

387

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The answer is not A or B
Nat2105 [25]

Answer:

C) 4

Step-by-step explanation:

Arcs on one side of the diameter adds upto 180°.

Therefore,

(2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\  \\ (2 + 17x) \degree + 110 \degree  = 180 \degree \\  \\ (2+ 17x) \degree = 180 \degree  - 110 \degree\\  \\  (2 + 17x) \degree = 70 \degree  \\  \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\  \\ x =  \frac{68}{17}  \\  \\ x = 4

4 0
3 years ago
Read 2 more answers
The regression equation y = -0.414x + 106.55 approximates the percent of people in an audience who finish watching a documentary
Ivahew [28]

The answer is A 67%.. went over this answer in class so it is right.

5 0
3 years ago
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