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Nitella [24]
4 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]4 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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Needs help answering
konstantin123 [22]

Answer:

26

Step-by-step explanation:

the answer is 26

6 0
2 years ago
3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the
sineoko [7]

Answer:

h= 1500\,*\,sin(43^o)

Step-by-step explanation:

Notice that there is a right angle triangle formed with sides as follows:

hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:

sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)

8 0
3 years ago
Richard wants to find out his current grade in math dass after taking five quizzes. Which measure of center
Salsk061 [2.6K]

Answer:

question does not seem complete, from what i know it sounds like he should add up the test scores and divide it by five, that will give him his average which should be his grade, please update question if possible

i hope this helped ;)

7 0
3 years ago
Y-x=4 and x is three times the value of y, what is the value of x+y?
slega [8]

Answer:

x+y=-8

Step-by-step explanation:

y-x=4

x=3y

y-3y=4

x=3y

-2y=4

x=3y

y=4/(-2)

x=3y

y=-2

x=3*(-2)

x=-6, y=-2 then

x+y=-6-2=-8

6 0
3 years ago
Can I have help with this question? I need the answer with explanation
Serga [27]

Answer:

44,39 in

Step-by-step explanation:

To find the space diagonal (whatever it's called in English) you begin looking at the bottom of the box. We want to know the diagonal since the diagonal is one of the sides of the other triangle.

To do this we can start by using trigonometry. (SOH-CAH-TOA)

We need to use Sin t. (Since we wanna know the hypothenuse and we have the opposite.)

So...

Sin(40) = 24 in ÷ <em>h</em>

Then we need to actually be able to calculate this, which we will be able to do if we multiply with h on both sides.

hSin(40) = 24 in

Like that. And now we can divide both sides with Sin(40). So we calculate 24 in devided by Sin(40).

h = 24 in ÷ Sin(40) = 37,34 in

Okay so now we now the diagonal, 37,34 in. Now we can use Pythagorean theorem. (2a+2b=2c and c = square root of (2a+2b))

37,34 in^(2) + 24 in^(2) = 1970,28

And now we take the square root of 1970,28.

Which is about 44,39 in.

<em>If you're not familiar with these concepts I suggest you</em><em> </em><em>search</em><em> </em><em>them</em><em> </em><em>up</em><em>.</em>

3 0
3 years ago
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