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3 years ago

Please help me with these two math questions!!

Mathematics

1 answer:

Westkost [7]3 years ago

5 0

Answer:

the answer would be 1/6

Step-by-step explanation:

The reason for this is because 1/12 if you simplify 1/12 you would get 1/6. the number 2 is the same answer

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Evaluate 5 - 3(-2) + 1-3|

marishachu [46]

Answer:

Step-by-step explanation:

5 - 3(-2) + 1-3

5 + 6 - 2

11 - 2

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2 years ago

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Justine answered 68 questions correctly on an 80-question test. Express this amount as a fraction,percent, and decimal.

kenny6666 [7]

He answered .85, 85% or 17/20 correct on the test.

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3 years ago

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Two events A and B are independent with Upper P left-parenthesis Upper A right-parenthesis equals Upper P left-parenthesis Upper

soldi70 [24.7K]

Answer:

The value of P (A ∩ B) is 0.25.

Step-by-step explanation:

Independent events are those events that do not effect the occurrence of each other, i.e. if event X and Y are independent then the occurrence of X and Y are not influenced by each other.

For independent events X and Y the joint probability of X and Y is:

$P (X\cap Y)=P(X)\times P(Y)$

It is provided that events A and B are independent of each other.

And P (A) = P (B) = 0.50.

Compute the value of P (A ∩ B) as follows:

$P (A\cap B)=P(A)\times P(B) \\= 0.50\times0.50\\=0.25$

Thus, the value of P (A ∩ B) is 0.25.

3 0

2 years ago

What is the answer to 7b-7-8b= -15

ozzi

Answer:

b=8

Step-by-step explanation:

7b-7-8b=-15

Combine like terms

-b-7=-15

Add 7 on both sides

-b=-15+7

-b=-8

Divide by -1

b = 8

8 0

2 years ago

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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule

Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113.

(b) 5% of people has an IQ score less than 74 or greater than 126.

Step-by-step explanation:

Given information:Scores of an IQ test have a bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between $\overline{x}-\sigma$ and $\overline{x}+\sigma$ .

95% data lies between $\overline{x}-2\sigma$ and $\overline{x}+2\sigma$ .

99.7% data lies between $\overline{x}-3\sigma$ and $\overline{x}+3\sigma$ .

(a)

$\overline{x}-\sigma=100-13=87$

$\overline{x}+\sigma=100+13=113$

$[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]$

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.

(b)

$\overline{x}-2\sigma=100-2(13)=74$

$\overline{x}+2\sigma=100+2(13)=126$

$[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]$

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

$\overline{x}-3\sigma=100-3(13)=61$

$\overline{x}+3\sigma=100+3(13)=139$

$[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]$

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139 is

$P=\frac{1}{2}(0.3\%)=0.15\%$

Therefore 0.15% of people has an IQ score greater than 139.

5 0

3 years ago