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pshichka [43]
3 years ago
11

.In which step below does a mistake first appear in

Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

step 2

Step-by-step explanation:

from -8(a+6) to -80 - 48 is incorrect

when you multiply -8 x a it's -8a not -80

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i When 20 is added to a certain number and the sun is divided by 3, the result is 3 times the number, find the number.​
Bingel [31]

Answer:

let \: the \: number \: be \: x \\  \frac{20 + x}{3}  = 3x \\  \frac{3(20 + x)}{3}  = (3x)3 \\ 20 + x = 9x \\ 20 = 9x - x \\ 20 = 8x \\  \frac{20}{8}  =  \frac{8x}{8}   \\ x = 2.5

Step-by-step explanation:

Hope that this is helpful .

Have a great day.

3 0
3 years ago
A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu
m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

c) z-statistics seem a large value

Step-by-step explanation:

<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>

Based on the null hypothesis:

p_{0}: 0.35

and the standard deviation σ = \sqrt{p_{0} *(1-p_{0}) } =\sqrt{0.35 *0.65 } ≈0.4770

<u>b. Find the z statistic</u>

z-statistic is calculated as follows:

z=\frac{X-p_{o} }{\frac{s}{\sqrt{N} } } where

  • X is the proportion of employees in the survey who take advantage of the Credit Union (\frac{138}{300}=0.46)
  • p_{0} is the proportion in null hypothesis (0.35)
  • s is the standard deviation (0.4770)
  • N is the sample size (300)

putting the numbers in the formula:

z=\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } } = 3.9945

<u>c. Does the z statistic seem like a particularly large or small value?</u>

z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0
4 years ago
What is the area of this rectangle in square inches??
rodikova [14]
The area is A. 84 square inches
7 0
3 years ago
Read 2 more answers
What are the real zeros of x^3+4x^2-9x-36
Katyanochek1 [597]

Answer:

x = -4\\x = -3\\x = 3

Step-by-step explanation:

To find the real zeros you must match the function to zero and factor the expression.

We have a polynomial of degree 3.

We try to group the terms to perform the factorization

x ^ 3 + 4x ^ 2-9x-36 = 0\\\\x ^ 2(x + 4) - 9(x + 4) = 0

Now we take (x + 4) as a common factor

(x + 4)(x ^ 2 -9) = 0

If we have an expression of the form (a ^ 2-b ^ 2) we know that this expression is equivalent to:

(a ^ 2-b ^ 2) = (a + b)(a-b)

In this case

a = x\\b = 3

So:

(x ^ 2 -9) = (x + 3)(x-3)

Finally:

x ^ 3 + 4x ^ 2-9x-36 = (x + 4)(x + 3)(x-3) = 0

The solutions are:

x = -4\\x = -3\\x = 3

6 0
3 years ago
A = L times W, Solve for W
Flura [38]

A = LW

Divide both sides by L (To isolate W)

W = \frac{A}{L}

8 0
3 years ago
Read 2 more answers
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