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? (5 points)​

Answers

Answer 1

Answer:

The student made the first mistake in step 2.

Step-by-step explanation:

Answer 2

The work of a student to solve a set of equations first make an error in step 2 .

What is elimination method?

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

According to the question

Equation A: y = 4 − 2z

Equation B: 4y = 2 − 4z

Solving equation by elimination method

Step 1:

[Equation A is multiplied by −4.]

−4(y) = −4(4 − 2z)  

Equation B: 4y = 2 − 4z  

Step2:

[Equation A in Step 1 is simplified.]

-4y = -16 + 8z

Equation B: 4y = 2 − 4z

Step 3:

Both equation A and B is added

-4y = -16 + 8z

 4y = 2 − 4z  

=> 0 = -14 + 4z  

Step 4:

4z = 14

z = 3.5  

Hence, the work of a student to solve a set of equations first make an error in step 2 .

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Related Questions

I need helphrdugdgdggdhd

Answers

Answer: the first box

Brainliest please

Step-by-step explanation:

25.09 is more than 25.018 because 0.09 is greater than 0.01

25.09-25.018=0.072

Answer:

You good? Also, 25.018 is heavier since it is closer tho the nearest ones and the fact it is a bigger decimal.

Step-by-step explanation:

what is the slope of the line

Answers

Answer:

3/2

Step-by-step explanation:

What is the diameter of a 2m circle?

Answers

Answer:

If 2m is the radius, the diameter is 4 meters.

2*2=4

Answer
2*2=4

Explanation
The diameter of a circle is the distance from one edge to the other, passing through the center. It is twice the radius.

So the diameter would be 2 cause 2 x 2=4


After sales tax, a $96 watch costs
$101.28. What is the sales tax
percentage?

A:6.2%
B:5.5%
C:5.2%
D:8.5%

Answers

101.28-96 = 5.28
5.28/96 = 0.055
0.055 x 100% = 5.5%

It’s me again guys!! Can anyone help me please?

Answers

(5-9)^2 - [5-9]
=(-4)^2 - [-4]
=(16) + 4
=20

(two negatives=positive)

it is a set of points on given plane which is equidistant from a fixed point called the center​

Answers

Answer: circle

Step-by-step explanation:

The set of points on a given plane which is equidistant from a fixed point that is called the center​ simply describes a circle.

We should note that the straight line that goes through the centre of a circle is referred to as the diameter while half of the diameter is the radius which is drawn from the center of the circle.

After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last 21 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired, assuming that there is no discrimination based on gender.
Does the resulting probability really support such a charge?

Answers

Answer:

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Step-by-step explanation:

For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

21 new employees.

This means that [tex]n = 21[/tex]

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that [tex]p = 0.5[/tex]

Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0[/tex]

[tex]P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001[/tex]

[tex]P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001[/tex]

[tex]P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071[/tex]

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Jackie Chan is reviewing the total accounts receivable of his new department store in Hong Kong customers who paid with credit totaled $85,000 this month this represents 40% of our receivables do what is mr. Chan's total account receivable?

Answers

Answer:

Mr. Chan's total account receivable is of $212,500.

Step-by-step explanation:

$85,000 this month this represents 40% of our receivables

This means that 85000 is 40% = 0.4 of the receivables, which is x.

What is mr. Chan's total account receivable?

We have to find x

[tex]0.4x = 85000[/tex]

[tex]x = \frac{85000}{0.4}[/tex]

[tex]x = 212500[/tex]

Mr. Chan's total account receivable is of $212,500.

Can someone actually helped me? People will answer and deleted their comment I really need help
Congruent Angle
Vertical Angle
Adjacent Angle
Complementary Angle
Supplementary Angle

Answers

Answer:

14) ∠CBE = 118°  supplementary to 62°

15) ∠ABF = 28°  complementary to 62°

16 ∠CBA = 152° because it is vertical to ∠DBF

Step-by-step explanation:

14) ∠CBE = 180° - 62° = 118°

15) ∠ABF = 90° - 62° = 28°

16) ∠DBF = 90°+ 62° = 152°

    ∠CBA = ∠DBF

i need help please...​

Answers

Answer:

B

Step-by-step explanation:

I think it's hitting a golf ball in the air, as it is a transformation, but the general shape of it is not affected.

Opening a locker, you are still affecting the general shape.

Need help ASAP!!!!!!!!!!

Answers

Answer:

the last two

Step-by-step explanation:

HELP PLEASE HURRY!!! NO SPAM!!!!
Identify the area of the figure

Answers

Which figure where is the figure

6.39 ÷ 0.09 ≅ _____
No Downloads or Files
I Need An Answer please

Answers

71

that's all there is to it

Answer: 71

Step-by-step explanation: 6.39 /0.09

71

We are formulating a 90% confidence interval for the population mean and would like our confidence interval to have a margin of error that is not larger than 3. Experience suggests that a reasonable estimate for the population standard deviation is 15. What minimum sample size should be anticipate using? (NOTE: Round your final answer up to the next whole number).

Answers

Answer:

A sample size of 68 should be anticipated using.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Experience suggests that a reasonable estimate for the population standard deviation is 15

This means that [tex]\sigma = 15[/tex]

What minimum sample size should be anticipate using?

Margin of error at most 3, which means that the sample size is n when M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.645*15[/tex]

Simplifying both sides by 3:

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up

A sample size of 68 should be anticipated using.

Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
y = root x
y = 0
x = 3
the x-axis
the y-axis
the line x = 3
the line x = 6

Answers

Answer:

x-axis = [tex]\frac{9\pi }{2}[/tex]

y-axis = [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]

Line x =3 :  [tex]\frac{44\sqrt{3} }{5} \pi[/tex]

Line x = 6 : [tex]\frac{84\sqrt{3}\pi }{5}[/tex]

Step-by-step explanation:

Given lines : y = √x

                     y = 0

                     x = 3

To determine the volumes generated we will use the disk method for each of the lines,

attached below is the detailed solution for  line x =3 , same procedure will be repeated for each value of x and y to obtain the given results

The volume generated  ( x axis )

= [tex]\frac{9\pi }{2}[/tex]

volume generated ( y _axis )

=  [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]

Volume about  x = 3

=  [tex]\frac{44\sqrt{3}\pi }{5}[/tex]

Volume about  x = 6

= [tex]\frac{84\sqrt{3}\pi }{5}[/tex]

A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem​

Answers

Answer:

75cm is the measurment

Step-by-step explanation:

It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.

a building has two sizes of Apartments small irregular the ratio of small apartments to regular Apartments is 14 to 6 what percent of apartments in the building are small ​

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Find the area of a triangle ABC when m is less than C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.

Answers

Answer:

[tex]Area =6.41mi^2[/tex]

Step-by-step explanation:

Given

[tex]a = 5.7[/tex]

[tex]b = 9.3[/tex]

[tex]c = 14^\circ[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area =\frac{1}{2}* a * b * sin(c)[/tex]

So:

[tex]Area =\frac{1}{2}* 5.7 * 9.3 * sin(14)[/tex]

[tex]Area =\frac{1}{2}* 5.7 * 9.3 * 0.2419[/tex]

[tex]Area =6.41mi^2[/tex]

Answer:

The answer is 6.41!

Step-by-step explanation:

I took the test and this is correct

Allison and Megan were at track practice. The track is 3/8 kilometers around.
- Allison ran 1 lap in 3 minutes.
- Megan ran 4 laps in 6 minutes.
How many minutes does it take Allison to run one kilometer?

Answers

Allison ran 3/8 km (0.375 km) in 3 minutes.

Set up a proportion to find how long it takes for her to run 1 km

[tex]\frac{0.375\textrm{km}}{3 \textrm{min}} = \frac{1\textrm{km}}{x \textrm{min}}[/tex]

Cross multiply to get:

[tex]3 = 0.375x[/tex]

Solve:

[tex]x = \frac{3}{0.375}[/tex]

x = 8 minutes

Students at the local middle school are mixing a unique school color. The blue in the school
color is made by using 3 parts navy blue and 1 part white. Will each combination result in the
correct ratio of the school color? Select Yes or No.
O Yes O No
O Yes O No
A. į part navy blue, į part white
B. į part navy blue, in part white
C. part navy blue, į part white
D. } part navy blue, į part white
O Yes O No
O Yes O No

Answers

Answer:

A: No

B: Yes

C: Yes

D: No

Step-by-step explanation:

A: Navy is obviously the bigger ratio so A is wrong

B: If you multiply both values by 18 you get the 3:1 ratio

C: If you Multiply both values by 5, you get the 3:1 ratio

D: Like A, Navy is always going to be bigger so D is wrong

2.5
pocket money in the ratio 6:5. Calculate Jannie's adjusted monthly pocket money.
Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take him
to cover this distance if he drives at an average speed of R65km/h? Give your answer rounded to the
nearest minute.

Answers

Answer:

pzie6zkezkzorzozirusultaluspuar

What is the quadratic regression equation that fits these data?

Answers

Answer:

C

Step-by-step explanation:

The quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].

What is the quadratic regression equation?

A quadratic regression is the process of finding the equation of the parabola that best fits a set of data.

The quadratic regression equation that fits these data is;

[tex]\rm y=2.13x^2+0.13x+6.39[/tex]

Check for the values of x and y;

When the value of x = -4 the value of y is;

[tex]\rm y=2.13x^2+0.13x+6.39\\\\x=-4\\\\\rm y=2.13(-4)^2+0.13(-4)+6.39\\\\y=34.13-0.52+6.39\\\\y=40[/tex]

Hence, the quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].

Learn more about quadratic equation here;

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HURRY ASAP
Solve the following equation for x

a. x=0.5
b. x=3
C. X=2
d. x=1

Answers

X is equal to 2 is the answer

2.952 + 39.24 =
A: 42.192
B: 68.76
C: 6.876
D: 687.6
E: 36.288
F: 42.76​

Answers

Answer:

The answer to this question is A

Answer:A:42.192

Step-by-step explanation:

line them up by the decimals and place value

39.24

+2.952

add a zero onto 39.24 to line them up correctly

39.240

+2.952

then add to get an answer of

A:42.192

The times for running a 5K for a local charity event are Normally distributed. Which standardized time represents the
87th percentile?
Find the z-table here.
-1.34
-1.13
01.13
1.34

Answers

Answer:

1.13

Step-by-step explanation:

Edge 2021 hope this helps

The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm2) in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error

Answers

7 and 0.2 s the answer 723

HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|

Answers

Answer:

i think

all the numbers between

0 to 4.6

Given that z is a standard normal random variable, find z for each situation (to 2 decimals).
A. The area to the right of z is 001.
B. The area to the right of z is 0.045.
C. The area to the right of z is 0.05.
D. The area to the right of z is 0.2.

Answers

Answer:

a) Z = 2.33

b) Z = 1.7

c) Z = 1.65.

d) Z = 0.84.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is also the area to the right of z.

A. The area to the right of z is 0.01.

Z has a pvalue of 1 - 0.01 = 0.99. So Z = 2.33.

B. The area to the right of z is 0.045.

Z has a pvalue of 1 - 0.045 = 0.955. So Z = 1.7

C. The area to the right of z is 0.05.

Z has a pvalue of 1 - 0.05 = 0.95. So Z = 1.65.

D. The area to the right of z is 0.2.

Z has a pvalue of 1 - 0.2 = 0.8. So Z = 0.84.

Hello, can someone plz make sure I’m correct. The photo is above !

Answers

it looks correct to me

ps. i hate savvas realize

PLSS HELP 50 PTS
Which polygons are congruent?
Select each correct answer.

Answers

Too left corner rectangle bottom right corner whatever that shape is

Answer:

A and B

Step-by-step explanation:

Hope this helped :)

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