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romanna [79]
4 years ago
15

a tree 40 feet high casts a shadow 58 feet long. find the measure of the angle of elevation pf the sun.

Mathematics
1 answer:
ddd [48]4 years ago
8 0
163 is the answer for me
but if its not right just message me
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A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey
Lubov Fominskaja [6]

Answer:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

8 0
4 years ago
Which word could be used to describe 4x in the expression 4x+7
Svetach [21]
The product of 4 and x
8 0
4 years ago
Please give me an explanation of stem leaf plot problem and the answer in this problem.
Ksivusya [100]

Answer:

the 3rd one

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Kevin uses 2/3 cup og flour to make 2 servings of biscuits. How many cups of flour are there per serving? How many cups of flour
Semenov [28]
The answer would be 2.3331 cups
4 0
3 years ago
Of all the yoga students in a particular area, 20% study with patrick and 80% study with carl. we also know that 8% of the yoga
Allushta [10]

The option D is correct. The probability that a randomly selected yoga student is female, given that the person studies yoga with Carl is 0.83 or 83%.

According to the statement

we have given that the Of all the yoga students in a particular area, 20% study with Patrick and 80% study with Carl. We also know that 8% of the yoga students study with Patrick and are female, while 66% of the students study with Carl and are female.

And we have to find that the probability that a randomly selected yoga student is female, given that the person studies yoga with Carl.

So, For this purpose,

Let p- Patrick , c-Carl  and f-female

And we have given that the

P(p) = 20% = 0.2

P(c) = 80% = 0.8

P(p ∩ f) = 8% = 0.08

P(c ∩  f) = 66% = 0.66

Then

We have to find conditional probability where yoga student is female , given that the person studies yoga with Carl

It become according to conditional probability formula:

P(f/c) = P(c ∩  f) / P(c)

Substitute the values in it then

P(f/c) = 0.66 / 0.8

P(f/c) = 0.825

Approximately 0.83.

So, The option D is correct. The probability that a randomly selected yoga student is female, given that the person studies yoga with Carl is 0.83 or 83%.

Learn more about Conditional Probability here

brainly.com/question/23382435

#SPJ4

7 0
2 years ago
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