The mean score on a calculus exam was 40, and the standard deviation was 5. The teacher decided to double everyone’s score and then added 7 points. What are the values of the mean and standard deviation of the distribution of transformed exam scores? (Options: mean = 80 and standard deviation = 5, mean = 80 and standard deviation = 10, mean = 87 and standard deviation = 5, mean = 87 and standard deviation = 10, mean = 87 and standard deviation = 17)

Answers

Answer 1

Answer:

The new mean becomes 87 (40*2+7), while the new standard deviation becomes 10 (5*2). The correct option is then option D.

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Which of the following is true of the commutative property under subtraction? A. 10 + 9 = 9 + 10 B. 10 – 9 = 10 – 9 C. 10 – 9 ≠ 9 – 10 D. 10 – 9 = 10 + 9
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A line passes through the point (-2, 7) and has a slope of -5. What is the value of a if the point (a, 2) is also on the line? A. -7B. -1C. 1D. 7

Please help me ASAP ...

Answers

Answer:

statements is 1,3,7,8 and reasons are 2, 4, 5, 6

Step-by-step explanation:

Answer:

<4 ~= <8 - Corresponding Angles Theorem

<2 ~= <8 - Alternate Exterior Angles Theorem

<2 ~= <4 - Vertical Angles Theorem

line I || line m - Transitive Property

The Sun has a diameter of approximately 8.64 × 105 miles. What is this distance in standard form? A. 86,400 miles
B. 86,400,000 miles
C. 8,640,000 miles
D. 864,000 miles

Answers

D.864,000
to find standard form if the power is positive move the decimal that many places to the right. If the power is negative move the decimal that many times to the left.

You decide to put $175 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 3% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?. 8.0111 years.
96.1332 years.
93.2914 years.
94.8377 years

Answers

The correct answer is:

94.8377 years

Explanation:

The formula for compound interest is

$A=p(1+(r)/(n))^(nt)$ , where A is the total amount, p is the amount of principal deposited, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, and t is the number of years.

For our problem, A = 3000; p = 175; r = 3% = 3/100 = 0.03; n = 12; and t is unknown:

Divide both sides by 175:

We will use logarithms to solve this. The base of the exponent is 1.0025, so this will be the base of the log:

$\log_(1.0025)((120)/(7))=12t$

Divide both sides by 12:

3 % = 0.003 : 12 = 0.0025
175 · ( 1 + 0.0025 )^(12 x) = 3,000
175 · (1.0025)^(12 x) = 3,000
1.0025^(12 x ) = 17.142857
$12 x = log _(1.0025) 17.142857$
12 x = 1138.0524
x = 1138.0524 : 12
x = 94.8377
Answer: D ) 94.8377 years

Which value of a correlation coefficient represents the strongest relationship between the two variables in a given linear regression model? a) -0.94
b) 0
c) 0.5
d) 0.91

Answers

Answer: a) -0.94

Explanation:

The closer r gets to +1 or -1, the stronger the linear relationship will be.

If r is really close to +1, then we have a strong positive linear relationship. If r is close to -1, then we have a strong negative linear relationship.

Of the four choices given, we see that r = -0.94 is the closest to either endpoint mentioned. The next closest is r = 0.91

Put another way, we're looking for the r value that is furthest way from 0, but also that makes the inequality $-1 \le r \le 1$ true. Choice A fits that description best.

Final answer:

The value of -0.94 represents the strongest relationship between the two variables in a given linear regression model.

Explanation:

The value of a correlation coefficient ranges from -1 to 1. The closer the value is to -1 or 1, the stronger the relationship between the two variables in a linear regression model. Therefore, the value of "-0.94" represents the strongest relationship among the given options. A negative correlation coefficient indicates an inverse relationship, meaning that as one variable increases, the other variable decreases.

Learn more about correlation coefficient here:

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An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

Answer:

Step-by-step explanation:

The height, width, and length of the box will be (x)(8 - 2x)(10 - 2x). The volume of the box will be 4x3 - 36x2 + 80x = 0 Use a graphing calculator to graph the polynomial. Use the maximum feature to see the greatest volume the box can have. Be sure to set your window accordingly and think about what constraints are on the box. The maximum volume for the box is 52 in3. The cut would be 1.5 inches long. This is where the graph crosses the x-axis.

the cube of one number plus the square of another is 17. the first number minus the second is 5. find both numbers. note that there are three different answers.

Answers

Answer:130

Step-by-step explanation:

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