Which pair of variables would most likely have a negative correlation?A. the time spent driving in a car and the number of miles driven

B. the height of a dog in inches and the number of ounces of food the dog eats per day

C. the number of sit-ups completed and the number of calories burned during a workout

D. the time spent reading a book and the number of pages remaining to be read in the book

Answers

Answer 1

Answer:

The pair of variables that will most likely have a negative correlation are D. the time spent reading a book and the number of pages remaining to be read in the book.

Negative Correlation

This means that the variables involved move in the opposite direction from each other.
Means that as one variable increases, the other decreases and vice versa.

If you spend a longer time reading a book, you would read more pages which would reduce the number of pages left to be read. The time taken to read the book is therefore negatively correlated with the number of pages left.

In conclusion, option D is correct.

Find out more on negative correlation at brainly.com/question/2476038.

Answer 2

Answer:

Answer: D

Step-by-step explanation:

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How many strings of length 5 can be written using the letters {a,b,c,d,e,f} if no two consecutive letters can be the same? For example, we'd count adede but not acdde.

Answers

Answer:

3750 strings.

Step-by-step explanation:

First we have 6 different letters to choose from (a, b, c, d, e, f) and we will make a string of length 5.

First, we would have to choose one of the letters, to do this we would have 6 choices.

For our second choice, we can only choose from 5 letters since we cannot choose the one that we already chose (no two consecutive letters can be the same).

Then, for our third choice, we would have to choose from 5 different letters (any letter but the one before).

Similarly for our fourth and fifth choice, we can choose 5 different letters.

Then, the total amount of strings would be:

6 x 5 x 5 x 5 x 5 = 6 x 5⁴ = 3750 strings.

In a certain assembly plant, three machines B1, B2, and B3, make 30%, 20%, and 50%, respectively. It is known from past experience that 1%, 3%, and 2% of the products made by each machine, respectively, are defective. A finished product is randomly selected and found to be non-defective, what is the probability that it was made by machine B1?

Answers

Answer:

The probability that a randomly selected non-defective product is produced by machine B1 is 11.38%.

Step-by-step explanation:

Using Bayes' Theorem

P(A|B) = $(P(B|A)P(A))/(P(B)) = (P(B|A)P(A))/(P(B|A)P(A) + P(B|a)P(a))$

where

P(B|A) is probability of event B given event A

P(B|a) is probability of event B not given event A

and P(A), P(B), and P(a) are the probabilities of events A,B, and event A not happening respectively.

For this problem,

Let P(B1) = Probability of machine B1 = 0.3

P(B2) = Probability of machine B2 = 0.2

P(B3) = Probability of machine B3 = 0.5

Let P(D) = Probability of a defective product

P(N) = Probability of a Non-defective product

P(D|B1) be probability of a defective product produced by machine 1 = 0.3 x 0.01 = 0.003

P(D|B2) be probability of a defective product produced by machine 2 = 0.2 x 0.03 = 0.006

P(D|B3) be probability of a defective product produced by machine 3 = 0.5 x 0.02 = 0.010

Likewise,

P(N|B1) be probability of a non-defective product produced by machine 1 = 1 - P(D|B1) = 1 - 0.003 = 0.997

P(N|B2) be probability of a non-defective product produced by machine 2 = 1 - P(D|B2) = 1 - 0.006 = 0.994

P(N|B3) be probability of a non-defective product produced by machine 3 = 1 - P(D|B3) = 1 - 0.010 = 0.990

For the probability of a finished product produced by machine B1 given it's non-defective; represented by P(B1|N)

P(B1|N) = $(P(N|B1)P(B1))/(P(N|B1)P(B1) + P(N|B2)P(B2) + (P(N|B3)P(B3))$ = $((0.297)(0.3))/((0.297)(0.3) + (0.994)(0.2) + (0.990)(0.5))$ = 0.1138

Hence the probability that a non-defective product is produced by machine B1 is 11.38%.

I need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is
A:positive

It would be negative

Identify the initial amount a and the growth factor b in the exponential function. A(x) = 680 • 4.3x

Answers

$A(x)=680\cdot4.3^x\n\na=680;\ b=4.3$

Suppose the value of x varies from x = a to x = b . There are at least two ways of thinking about what percent x changed by. We'll explore two of them here. For each of the following questions, write an expression in terms of a and b to answer the question. Method 1 b is how many times as large as a ? times as large Therefore, b is what percent of a ? % Hence, if x varies from x = a to x = b , x changes by what percent?

Answers

The change in the value of x, as a percentage, is given by:

$(b - a)/(a) * 100\%$

The percentage change is given by the change multiplied by 100% and divided by the initial value.

In this question, x varies from $x = a$ to $x = b$ , which means that the initial value is a, and the change is b - a. Then, the percentage chance in the value of x is given by: