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Nitella [24]
3 years ago
13

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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18 gallons

Step-by-step explanation:

the tank capacity is :

$71.98 ÷ $3.98 = 18 gallons

6 0
3 years ago
If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num
Hitman42 [59]

Answer:

The original fraction is \frac{6}{14}.

Step-by-step explanation:

Solution,

Let the fraction be'\frac{x}{y}'.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

\frac{x+2}{y+2}=\frac{1}{2}

On using cross multiplication method, we get;

2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

\frac{x-2}{y-2}=\frac{1}{3}

On using cross multiplication method, we get;

3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2

Now Substituting the equation 1 in equation 1 we get;

3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6

Now Substituting the value of x in equation 1 we get;

y=2x+2\\\\y=2\times6+2 = 14

Hence The original fraction is \frac{6}{14}.

4 0
3 years ago
A rectangle has two different side lengths: One is (4p-5) inches. The other is (3p+2) inches. Find the perimeter of the rectangl
Anika [276]

The perimeter of rectangle is 14p-6.

Step-by-step explanation:

Given,

One side of rectangle = 4p-5  inches

Length of other side = 3p+2 inches

Perimeter of rectangle = 2( Length of one side + Length of other side)

Perimeter = 2(4p-5+3p+2)\\Perimeter = 2(7p-3)\\Perimeter = 14p-6

The perimeter of rectangle is 14p-6.

Keywords: rectangle, perimeter

Learn more about rectangle at:

  • brainly.com/question/10552347
  • brainly.com/question/10570041

#LearnwithBrainly

7 0
3 years ago
Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the gr
mote1985 [20]

Answer:

36 ft

Step-by-step explanation:

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?

Hence, this is calculated as:

5ft/15ft = 12 ft/Daniela's height

Cross Multiply

5ft × Daniela's height = 15ft × 12ft

Daniela's height = 15ft × 12 ft/5ft

= 36ft

Therefore, Daniela's height = 36 ft

4 0
3 years ago
What equation results from completing the square and factoring x2+2×=9
Arturiano [62]
The answer should be A. If you need work I can show you. 
5 0
3 years ago
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