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3 years ago

Use substitution to solve the system of equations

Mathematics

1 answer:

mr_godi [17]3 years ago

8 0

C,A,D your answer i think i solve and that wht i got

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A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

disa [49]

Answer:

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

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X 5 6 7 8 9 10

P(X) 0.05 0.15 0.33 0.28 0.12 0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:

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

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

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

And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

5 0

4 years ago

Read 2 more answers

The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft. What is the volume of the statue? Use 3.14 to approximate

neonofarm [45]

Height = 9 ft
Radius = Diameter/2 = 12/2 = 6 ft
Volume of a cone = 1/3πr²h
= 2/3 × 3.14 × 6 × 6 × 9
= 339.12 ≈ 339.1 cubic foot.

4 0

3 years ago

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Show work too I’ll mark you brainlist hurry lol

lbvjy [14]

Answer:

Step-by-step explanation:

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3 years ago

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In the figure, identify the types of angles in the table below .

Anna007 [38]

Answer:

∠1 and∠3 = Supplementary Angles

∠4and∠5 = Complementary Angles

∠5and∠1 = Adjacent Angles

∠2and∠3 = Supplementary Angles

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3 years ago

35079264 put this number in the largest millions form?

kompoz [17]

I’m pretty sure that when it says “the largest millions form” they mean this: 350,000,000 or three hundred fifty million. Hope that helps!

3 0

3 years ago