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3 years ago

W is a normally distributed random variable with mean 22 and variance 25. The probability that W is less than 9.7 equals:

Mathematics

1 answer:

Musya8 [376]3 years ago

8 0

Answer:

0.006946

Step-by-step explanation:

Given that :

W = normally distributed random variable

Mean(m) = 22

Variance = 25 ; standard deviation =√variance ;

Standard deviation (σ) = √25 = 5

Probability that W < 9.7

x = 9.7

Zscore = (x - m) / σ

Zscore = (9.7 - 22) / 5

Zscore = - 12.3 / 5

Zscore = - 2.46

P(Z < - 2.46) = 0.006946

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A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.

Romashka-Z-Leto [24]

Answer:

<em>The probability that it is grape juice, given that the juice is not sugar free is </em><em>0.769 or 76.9%</em>

Step-by-step explanation:

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}$

A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.

Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.

Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,

$P(\text{Grape }\cap \text{ Not sugar free})=\dfrac{10}{27}$

$P(\text{Not sugar free})=\dfrac{10+3}{27}=\dfrac{13}{27}$

Putting the values,

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}=\dfrac{\frac{10}{27}}{\frac{13}{27}}=\dfrac{10}{13}=0.769$

5 0

3 years ago

Read 2 more answers

find the x-intercepts and the coordinates of the vertex for the parabola Y equals negative X squared plus 8X -12. If there’s mor

Oksanka [162]

Answer:

x = 2, and 6

x = 2 , 6

Step-by-step explanation:

The quadratic function to analyze is: $y = -x^2+8x-12$

In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):

$y = -x^2+8x-12\\0 = -x^2+8x-12\\x^2-8x+12=0$

This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".

The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:

$x^2-8x+12=0\\x^2-2x-6x+12=0\\(x^2-2x)+(-6x+12)=0\\x(x-2)-6(x-2)=0\\(x-2)(x-6)=0$

For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).

So, there are two x-intercepts: x= 2, and 6

3 0

2 years ago

To get to a dog show, Mr. Luna first drives 7 miles west from his home and then 3 miles north. Next, he turns east and drives 11

umka21 [38]

All the other stuff, east/west, doesn't matter.

He drives 3 miles north, then later on he drives 4 more miles north:
3 + 4 = 7

The dog show is 7 miles north of his home.

6 0

3 years ago

Helpppppppppppppp please someone

storchak [24]

Answer:

Step-by-step explanation:

7x-5+4x-7+x=180

11x-12+x= 180

12x-12=180

+12 = +12

12x = 192

/ 12 / 12

= 16

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2 years ago

What is 19.2× 10^8 minutes in hours?

algol [13]

The awnser is 1920,000,000 I hope I helped you the decimal skips eight spaces

6 0

2 years ago