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KatRina [158]
3 years ago
5

Completely factor 1-100x^2​

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  a 2 − b2 = ( a + b ) (a − b )  where  a= 1  and  b = 10 x . ( 1 + 10 x ( 1 − 10 x )

Step-by-step explanation:

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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
3 years ago
Read 2 more answers
Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard devi
Svetllana [295]

Answer:

Step-by-step explanation:

Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.

If X is height then X is N(55,6)

Z score would be \frac{x-55}{6}

a) P(X

b) P(60

c) Tallest 10% z = 1.28

X score = 48+1.28(6) = 55.68  inches

d)P(X

i.e. 16.37% cannot go on this ride.

7 0
3 years ago
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HELP ASAP. a kite has diagonals of 18 inches and 21 inches as seen below. what is the perimeter of the kite
timofeeve [1]

Answer:

78 inches

Step-by-step explanation:

perimeter of a kite formula: 2(a+b)

a= 18 inches

b= 21 inches

2(18+21)

2(39)

78 inches

8 0
3 years ago
Please help me with this question :(
nalin [4]

Answer: See below

Step-by-step explanation:

4 parts of the whole are shaded, and there are a total of 10 parts

So the fraction is: 4/10

Simplifying by dividing both the numerator and denominator by 2 would give <em>2/5</em>

Decimal: 4 divided by 10 is 0.4

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7 0
2 years ago
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Help please, from anyone.
Fed [463]

Answer:

your answer should be 15%

5 0
3 years ago
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