MATHEMATICS HIGH SCHOOL

Malia solved an equation, as shown below:Step 1: 6x = 48
Step 2: x = 48 – 6
Step 3: x = 42

Part A: Is Malia's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Part B: How many solutions will this equation have?

Answers

Answer 1

Answer:

Answer:

Part A- wrong step number 2 by Malia

Part B - Only 1 solution

Step-by-step explanation:

Given steps are :

Step 1: 6x = 48

Step 2: x = 48 – 6

Step 3: x = 42

Part A:

The second step is wrong. Malia subtracted 6 from 48, but she should not have done it. She should have divided both sides by 6, to get the value of 'x' which is 8.

The correct step should be :

$6x=48$

Divide both sides by 6, $(6x)/(6) =(48)/(6)$

$x=8$

Part B:

The equation has only 1 solution.

Answer 2

Answer: subtracting would be wrong it would be dividing. Just divide 6 on both sides to get x=8
for part A

FOR PART B
there is one solution

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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:

�

−

�

X−μ

Where:

�

X = 65 inches

�

μ = 64.3 inches

�

σ = 2.7 inches

�

−

64.3

2.7

≈

0.2593

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

(standard deviation of the sample means) is calculated as

2.7

≈

0.4115

2.7

≈0.4115.

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

�

−

64.3

0.4115

≈

1.6924

0.4115

65−64.3

≈1.6924

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

You and two friends visit a pizza shop. There are 13 toppings. 8 toppings are meat and the rest are vegetable. each of you order a different topping (No Repeats) at random. what is the probability that your group orders only meat toppings

Answers

The probability of the first person ordering a meat topping would be 8/13 because 8 are meat out of the possible 13 toppings.
The probability of the second person ordering a different meat topping would be 7/12 because there are 7 other meat options out of now 12.
The probability of the third person ordering a different meat topping would be 6/11.
Multiply these fractions together. 8/13 x 7/12 x 6/11 = 28/143

Answer:

28/143

Step-by-step explanation:

What's a equation for $150 dollars for 50 T-Shirts

Answers

150 devided by 50 = 30

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Answers

On a graph, most likely a graph for slope, etc, you'll find something called a quadrant.

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What is 1004 divided by 39?

Answers

25.74 That is the answer I got! Have a great day!!!

Answer:

The answere in a decimal is: 25.7435897, the answere in a fraction is: 25and29/39

Which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)

Answers

Answer:

See attachment

Step-by-step explanation:

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