MATHEMATICS HIGH SCHOOL

Which equation has solution x = -3?A) 2x -7 = -1
B) 3x+ 8 =1
C)1/2x+8=10
D)1/2(2x-6)=-6

Answers

Answer 1
Answer: A)2x -7 = -1 
2x=-1+7
2x=8
x=4

B)3x+ 8 =1
3x=1+8
3x=9
x=3

C) 1/2x+8=10
1/2x=10-8
1/2x=2
x=1

D)
(1)/(2) (2x-6)=-6 \n \n (2x)/(2) - (6)/(2)=-6 \n \n (2x)/(2) - (6)/(2)=-12 \n \n 2x-6=-12 \n \n 2x=-12+6 \n \n 2x=-6 \n \n \boxed{x=-3}

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A company offered one half of its employees a bonus if the production of cookies increased by 15%. The other half of the employees was not offered a bonus. As the end of the month, production in the group that did not get the bonus offer increased by a mean of 20 and production in the bonus group increased by a mean of 10. What is the correct order of steps to determine if the results are significant? A. Calculate the probability of a difference of 10. B. Calculate the difference of the means. C. Randomly separate the employees' individual results into two groups. D. Calculate the mean of each group. E. Run the experiment many times.

Answers

Answer:

Company revealed that, One half of employees will get bonus, if the production of cookies increased by 15 %.

And , other half of employees will not get the bonus.

And,

The group who didn't get the bonus, their production increased by mean of 20.

And, the production in the bonus group increased by mean of 10 only.

To check whether results are significant or not,we will follow the following steps

1.  C. Randomly separate the employees' individual results into two groups.

2.  D.Calculate the mean of each group.

3. B. Calculate the difference of the means

4. E. Run the experiment many times.

5. A .Calculate the probability of a difference of 10
The answer for this question is  C, D, B, E, A. I hope that helps!

$970 at 4 1/4% simple interest for 2 years

Answers

For simple interest 
i=prn
where i= interest p=amount invested, r=rate n=time period
i= 970*4 and 1/4 * 2
i= $8245

Solve for x. 5x2 – 45 = 0

A.
{3}

B.
{3, –3}

C.
{9, –9}

D.
{9}

Answers

5x^2-45=0
factor 5 out
5(x^2-9)=0
diff 2 perfec squares
5(x-3)(x+3)=0
set zero
x-3=0
x=3

x+3=0
x=-3

x=-3 or 3

B
Hi there! 5x²-45=0, add 45 to both sides, 5x²-45+45=0+45=5x²=45. Divide both sides by 5, 5x²/5=45/5, 45/5=9. So, we have x²=9. we have to find the square root of 9. The square root of 9 is 3*3 because 3*3=9. We have two solutions, the first solution is x=3 and the other solution is x=-3. X=3 and x=-3 can be combined and we get {3,-3}. Therefore, your answer is B. {3,-3}

Find y on the triangle that has sides length of 7 and x

Answers

The lengths of two sides is not enough information to determine a unique triangle. There are an infinite number of possible correct answers.

Assume that women's heights are normally distributed with a mean given by u = 64.3 in, and a standard deviation given by 0 = 2.7 in. (a) f 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) if 43 women are randomly selected, find the probability that they have a mean heightless than 65 in. (a) The probability is approximately I. (Round to four decimal places as needed.) 4

Answers

Answer:

0.9533

Step-by-step explanation:

(a) Probability that a randomly selected woman's height is less than 65 inches:

Using the z-score formula:

�

=

�

−

�

�

Z=

σ

X−μ

​

Where:

�

X = 65 inches

�

μ = 64.3 inches

�

σ = 2.7 inches

�

=

65

−

64.3

2.7

≈

0.2593

Z=

2.7

65−64.3

​

≈0.2593

Now, find the probability associated with this z-score, which is approximately 0.6010 (rounded to four decimal places).

(b) Probability that the mean height of 43 randomly selected women is less than 65 inches:

Using the Central Limit Theorem:

�

μ (mean of the sample means) remains 64.3 inches.

�

sample mean

σ

sample mean

​

 (standard deviation of the sample means) is calculated as

2.7

43

≈

0.4115

43

​

2.7

​

≈0.4115.

Now, find the z-score for a sample mean of 65 inches:

�

=

65

−

64.3

0.4115

≈

1.6924

Z=

0.4115

65−64.3

​

≈1.6924

The probability associated with this z-score is approximately 0.9533 (rounded to four decimal places).

What are the multiples of 4?

Answers

Answer:

4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,

Step-by-step explanation:
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