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3 years ago

Evaluate the expression for the given value of the variable. |4b-8|+|-1-b^2|+2b^3;b=2

Mathematics

1 answer:

Elena-2011 [213]3 years ago

4 0

In this question we already know the value of 'b' so put the value b=2 in the equation

=|4(2)-8| + |-1-(2)^2| + 2(2)^3

=|8-8| + |-1-4| + 2(8)

=0 -5 +16

=11

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2 years ago

Which of the following situations calls for a hypothesis test about a population mean?

tigry1 [53]

Answer:

Step-by-step explanation:

Hypothesis test about a population mean is done to evaluate two exclusive statements about a population in order to determine which is best supported by the sample data.

From the situations given, the correct options are

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3 years ago

Which of the expressions below can be factored using the difference of squares method?

Dmitry [639]

Answer: A. $9x^2 - 16y^2$ .

Step-by-step explanation:

A difference of squares problem is factored as : $a^2 - b^2 = (a + b)(a - b)$
For this both terms in the form of squares and a minus sign between them.

From all the options only option A has both terms square and they minus sign between them.

Also, $9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)$

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Hence, the correct answer is A. $9x^2 - 16y^2$ .

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2 years ago

What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction

tester [92]

Answer:

StartFraction 24 Over 65 EndFraction

Step-by-step explanation:

Total number of students = 26

Number of boys = 10

Number of girls = 26-10

=16

Eduardo has to pull two names out of the hat without replacing them.

First name

Probability= Favourable outcome/Total outcome

Probability of girls=16

Total probability=26

Eduardo has to pull two names out of the hat without replacing them.

Probability= Favourable outcome/Total outcome

=16/26

=8/13

For the second name:

Without replacement of the first hat

Probability of girls=16-1=15

Total probability=26-1=25

Probability= Favourable outcome/Total outcome

=15/25

=3/5

Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5

=24/65

StartFraction 24 Over 65 EndFraction

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2 years ago

20 1/4% of 3 What is the answer?

kompoz [17]

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$\frac{1}{4} \times 100 = 25 \: \: percent \\$

$\frac{25}{100} \times 3 = \frac{75}{100} = 0.75 \\$

Thus :

1 / 4 % of 3 is 0.75 .

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2 years ago