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3 years ago

15

Select the correct answer. What is the area of the cross section that is parallel to side PQRS in this rectangular box? A. 12 sq

uare units B. 16 square units C. 30 square units D. 40 square units

1 answer:

qaws [65]3 years ago

5 0

Answer:

12 square units.

Step-by-step explanation:

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Using either the critical value rule or the p-value rule, if a one-sided null hypothesis for a single mean cannot be rejected at

KiRa [710]

Answer:

Step-by-step explanation:

Using either the critical value rule or the p-value rule, a conclusion can be drawn at a level of significance (alpha)

The null hypothesis: u = hypothesized mean

Alternative hypothesis: u > u0 or u < u0 for a one tailed test

Alternative hypothesis for a two tailed test: u =/ u0

To draw a conclusion by failing to reject the null hypothesis as stated then: using critical value

Observed z score > critical z score for both the one and two tailed test.

Or using p value:

P-value > alpha for a one tailed test

P-value > alpha/2 for a two tailed test

Thus, if a one-sided null hypothesis for a single mean cannot be rejected at a given significance level, then the corresponding two-sided null hypothesis will also not be rejected at the same significance level.

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3 years ago

Question 3 (Essay Worth 10 points)

Vika [28.1K]

Answer:

a) $A= Lenght *Width$

And replacing we got:

$A= (3x+10) (4x+5)$

And simplifying we got:

$A = 12x^2 +15x +40x +50 = 12x^2 +55x +50$

b) For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

c) We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

Step-by-step explanation:

We know a rectangle has sides measuring (4x + 5) units and (3x + 10) units

Part a

For this case we can find the area like this:

$A= Lenght *Width$

And replacing we got:

$A= (3x+10) (4x+5)$

And simplifying we got:

$A = 12x^2 +15x +40x +50 = 12x^2 +55x +50$

Part b

For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

Part c

We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

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3 years ago

Ruth is two times as old as Margie, and Lily is 10 years older than Ruth. If Lily is 60 years old, how old is Margie? (Let m rep

Veronika [31]

Answer:

25 years

Step-by-step explanation:

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3 years ago

What number should be added to the expression x^2+3x+___ in order to create a perfect square trinomial?

kramer

Answer: THIRD OPTION.

Step-by-step explanation:

We need to remember that we can create a perfect square trinomial by squaring a binomial:

$(a\±b)^2=a^2\±2ab+b^2$

Then we need need to pick the coefficient of the x term of the given expression, divide it by 2 and square it:

$(\frac{3}{2})^2=\frac{9}{4}$

Therefore, the number that should be added to the given expression in order to create a perfect square trinomial is:

$\frac{9}{4}$

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3 years ago

What times what equals 96

never [62]

Factors of 96: 1,2,3,4,6,8,12,16,24,32,48,<span>96

So 48 x 2 = 96</span>

3 0

3 years ago

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