Multiply the polynomials 3(x+7) (show work pls)

Answers

Answer 1
Answer:

Answer:

3x + 21

Step-by-step explanation:

(3)(x+7)

Now, we distribute the 3 in each term of (x+7)

So, 3*x = 3x and 3*7 = 21.

So our resulting term would be 3x+21.


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Kiran says that -2<-5. Do you agree with Kiran? Explain or show your reasoning.

Answers

Answer:

No I do not agree. -2 is closer to 0 than -5

Step-by-step explanation:

-5 -----------> -2---------> 0

A trapezoid has an area of 975 square meters. The height of the trapezoid is 50 ​meters, and the length of the longer base is twice that of the shorter base. Find the length of each base of the trapezoid.

Answers

Area of trapezoid(A) =(1/2) (b1 + b2)*h

b1= x   - shorter base
b2=2x  - longer base
A=975 m²
h=50 m

975 =(1/2) (x + 2x)*50
975 = 25*3x
975 = 75x
x=975/75 = 13 m

x= b1 = 13 m
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Estimate the average rate of change of the graphed function, over the interval 0 ≤ x ≤ 2.

Answers

Answer:

A) 2

Step-by-step explanation:

(0,3) and (2,7)

Use slope formula

(7-3)/(2-0) = 4/2 = 2

Answer:

A) 2

Step-by-step explanation:

Please help, the question says what statement best describes the placement of the lines Carson Drew​

Answers

Answer:

Only line A is a well-placed line of best fit.

Step-by-step explanation:

I did this on Plato and got it correct.

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the pooled estimate. Round your answer to the nearest thousandth. n1 = 677 n2 = 3377
x1 = 172 x2 = 654

Answers

Answer:

The calculated  value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Step-by-step explanation:

Given first sample size n₁ = 677

First sample proportion

                             p^(-) _(1) = (x_(1) )/(n_(1) ) = (172)/(677) = 0.254

Given second sample size n₂ = 3377

second sample proportion

                             p^(-) _(2) = (x_(2) )/(n_(2) ) = (654)/(3377) = 0.1936

Null Hypothesis : H₀ :  p₁ = p₂.

Alternative Hypothesis : H₁ :  p₁ ≠ p₂.

      Test statistic

                Z = \frac{p_(1) ^(-)-p^(-) _(2)  }{\sqrt{P Q((1)/(n_(1) ) +(1)/(n_(2) )) } }

where

        P = (n_(1) p_(1) + n_(2) p_(2)  )/(n_(1)+n_(2)  ) = (677 X 0.254+3377 X 0.1936)/(677+3377)

       P =  0.2036

      Q = 1 - P = 1 - 0.2036 = 0.7964

       

         Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964((1)/(677 ) +(1)/(3377 )) } }

        Z =  3.775

Critical value ∝=0.05

Z- value = 1.96

The calculated  value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

593,204 rounded to the nearest million

Answers

The answer is  1,000,000