Equation 1: m = 6 + n Equation 2: 2m = 8 + 8n Step 1: −2(m) = −2(6 + n) 2m = 8 + 8n Step 2: −2m = −12 − 2n 2m = 8 + 8n Step 3: −12 − 2n = 8 + 8n Step 4: −20 = 10n Step 5: n = −2 In which step did the student first make an error? (4 points) Step 2 Step 3 Step 4 Step 5 4 points Click Save and Submit to save and subm

Answers

Answer 1
Answer:

In the following steps student made the error in the third step.

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

The error occurred in Step 3.

Step 3 should be:

-2(m) = -2(6 + n)

-2m = -12 - 2n

The mistake was that the student distributed the negative sign only to the 6 and not to the n.

The correct next step is to simplify equation 2:

2m = 8 + 8n

So the student made an error in Step 3.

To know more about Equation check:

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Answer 2
Answer:

Answer:

step three is the incorrect one making step three the answer

Step-by-step explanation:


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A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected, and their weights at birth are recorded as: 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. If Alpha = 0.05, 1. What is the critical t-value? 2. What is the decision for a statistically significant change in average weights at birth at the 5% level of significance?
4 cups 6 fl oz - 2 cups 7 fl oz

Which of the following is equivalent to 18 minus StartRoot negative 25 EndRoot?

Answers

Answer:

18-5i

Step-by-step explanation:

Answer: 12-i

               12-(√-1)

Step-by-step explanation:

18-√(-25)   Original Question

18-(√(25) * √(-1) )   Split

18-5*(√(-1) )   Solve for square root

12-√(-1)   Subtract

You can substitute √(-1) for i

12-i   Substitute

What is the answer to this, please?

Answers

Answer:

s^3 + 12

Step-by-step explanation:

To get the missing volume you need to do:

height x length x width or s^3.

Then, add that volume to the existing 12 volume:

s^3 + 12.

Hopefully this helped!

Brainliest please?

Answer:  I don't know do it your self

Step-by-step explanation:

en una canasta se tienen 10 bolas cafes, 5 bolas azules y 15 verdes. Si se saca una al azar, ¿cual es la probabilidad de que esta no sea azul? ¿cual es probabilidad de que sea verde?

Answers

Answer:

The probability that the selected ball is not blue is (5)/(6).

The probability that the selected ball is green is (1)/(2).

Step-by-step explanation:

The question is:

There are 10 brown balls, 5 blue balls and 15 green balls in a basket. If one is drawn at random, what is the probability that it is not blue? What is the probability that it is green?

Solution:

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=(n(E))/(N)

The probability of the given event not taking place is known as the complement of that event.

Complement of the event E is,

1 – P (E)

The number of different color balls are as follows:

Brown = n (Br) = 10

Blue = n (Bu) = 5

Green = n (G) = 15

Total = N = 30

Compute the probability of selecting a blue ball as follows:

P(\text{Bu})=\frac{n(\text{Bu})}{N}=(5)/(30)=(1)/(6)

Compute the probability of not selecting a blue ball as follows:

P(\text{Not Bu})=1-P(\text{Bu})

                 =1-(1)/(6)\n\n=(6-1)/(6)\n\n=(5)/(6)

Thus, the probability that the selected ball is not blue is (5)/(6).

Compute the probability of selecting a green ball as follows:

P(\text{G})=\frac{n(\text{G})}{N}=(15)/(30)=(1)/(2)

Thus, the probability that the selected ball is green is (1)/(2).

A study is given in which scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several-year period at different locations. Here are the data: Sea Surface Temperature 29.69 29.87 30.16 30.22 30.48 30.65 30.80
Growth 2.63 2.57 2.67 2.50 2.47 2.38 2.25


Required:
a. Find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y.
b. Find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)
c. Say in words what the numerical value of the slope tells you.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Sea Surface Temperature (x) : 29.69 29.87 30.16 30.22 30.48 30.65 30.80

Growth : (y) 2.63 2.57 2.67 2.50 2.47 2.38 2.25

Mean (x) :

Σ(X) / n

n = number of observations

Mean (m1) = Σ(X) / n = 211.87 / 7 = 30.27

Standard deviation(sx) = 0.3742 (using calculator)

Mean (m2) :

Σ(y) / n = 17.47 / 7 = 2.50

Standard deviation(sy) = 0.1354 ( using calculator)

Correlation (r) :

(1/n)Σ[(x - m1) / sx] × [(y - m2) /sy]

Using calculator to save computing time :

r = - 0.8642

b. Find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)

The least square line using the regression calculator :

y = -0.31 + 11.96x

Comparing to the regression equation format :

y = mx + c

Where ;

-0.31 = intercept ; 11.96 = slope ; x = independent variable ; y = dependent variable

c. Say in words what the numerical value of the slope tells you.

For every 1° degree rise in surface temperature, growth increases by 11.96

Please help me don’t know how to do it,

Answers

Answer:

7=60

6=60

5=120

4=120

2=60

1=120

Answer:

angle 4 and angle 5 is = 120degree

Step-by-step explanation:

Line A: y = 1/2 x + 2 Line B: y = - 1/2 x + 7
Line C: y = 2x + 4
Line D: y = 1/2 x + 5/4

Which lines are parallel?

A) A and B
B) A and C
C) B and C
D) A and D

Answers

the answer to the problem is C) B and C