The work of a student to solve a set of equations is shown:Equation A: y = 4 − 2z
Equation B: 4y = 2 − 4z

Step 1: −4(y) = −4(4 − 2z) [Equation A is multiplied by −4.]
4y = 2 − 4z [Equation B]
Step 2: −4y = 4 − 2z [Equation A in Step 1 is simplified.]
4y = 2 − 4z [Equation B]
Step 3: 0 = 6 − 6z [Equations in Step 2 are added.]
Step 4: 6z = 6
Step 5: z = 1

In which step did the student first make an error?
Step 1
Step 3
Step 4
Step 2

Answers

Answer 1

Answer: The student first made an error in step 2 when she simplified... She should have used the distributive property to distribute the -4 through the parentheses. It should look like this...

-4 (y) = -4 (4 - 2z)
-4y = -16 + 8z

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Answers

Answer: John runs 5 m/s

Step-by-step explanation: Divide 100 by 20 and you get 5.

Also you are dividing the meters he runs by the seconds he runs.

A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation?Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.

Pick a card from a deck of standard playing cards four times, with red suits representing those who prefer watching a movie at a theater and black suits representing those who do not.

Spin a spinner with four equal sections three times, with one section representing each person.

Roll a six-sided die four times, with even numbers representing those who prefer watching a movie at a theater and odd numbers representing those who do not.

Generate a set of four numbers using a number generator, with numbers 0 to 5 representing those who prefer watching a movie at a theater and 6 to 9 representing those who do not.

Select all the correct answers.

Answers

Answer:

1. Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.

2. Pick a card from a deck of standard playing cards four times, with red suits representing those who prefer watching a movie at a theater and black suits representing those who do not.

4. Roll a six-sided die four times, with even numbers representing those who prefer watching a movie at a theater and odd numbers representing those who do not.

Step-by-step explanation:

Basically you need to do something 4 times, with each time having a 50/50 chance.

For 1, it flips the coin 4 times and a coin toss is 50/50

For 2, it pics 4 cards, and the deck of cards has a 50-50 chance of either red or black

For 3, it spins it only 3 times, so is wrong

For 4, it rolls the die 4 times, and even and odd is 50-50

For 5, 0-5 consist of 6 number, while 6-9 is only 4 numbers thus is not 50-50 so is wrong

Answer:

1,2,4

Step-by-step explanation:

if ur in courseware then i just did the math test as well

Find the sum of the given polynomials.7b + 3, -4b + 5, and -3b + 2

answer options are:
10b + 2
10
0
b - 8

I will give Brainliest answer and a thank you.

Answers

Rearrange the equation for like terms:

7b - 4b - 3b + 3 + 5 + 2

= 10

Answer:

Step-by-step explanation:

What is the slope of the line between -7,-2 and 9,4?

Answers

the answer is 6/16. or if u simplify u will get the equivalent fraction or simplified fraction 3/8

What is the interquartile range of the data set below?

Growth in feet of oak trees: 68,80,73,90,120,94,76,112,101,94,72

(1) 22 (2) 28 (3) 52 (4) 73

Answers

68,80,73,90,120,94,76,112,101,94,72 --->
68, 72, 73, 76, 80, 90, 94, 94, 101, 112, 120

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Lower Median = 73
Upper Median = 101

IQR = 101 - 73
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Answers

The quotient is 8 because 11*8 is 88

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