Which of the following shows no correlation between the independent and dependent variables

What is -9.98 as a fraction?

Rzqust [24]

Answer: -449/50

Step-by-step explanation:

-9.98

1) Put in fraction form.

-998/100

2) Simplify.

-449/50

5 0

3 years ago

Read 2 more answers

Minxia counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stays the same, how many more si

Sergio [31]

Answer:

100

Step-by-step explanation:

Multiply 40 by 3 because 40 is 1/3 and find the answer for 3/3.

I got 120, subtract 20 from 120 beacause there is 20 silver cards. The answer is 100

7 0

3 years ago

Express the given quantity as a single logarithm and simplify: 3logx+2log(y-2)-5logx

storchak [24]

Simplify each term.
Simplify 3log(x) by moving 3 inside the logarithm.
log(x^3)+2log(y−1)−5log(x)

Simplify 2log(y−1) by moving 2 inside the logarithm.
log(x^3)+log((y−1)^2)−5log(x)

Rewrite (y−1)^2 as (y−1)(y−1).
log(x^3)+log((y−1)(y−1))−5log(x)

Expand (y−1)(y−1) using the FOIL Method.
log(x^3)+log(y(y)+y(−1)−1(y)−1(−1))−5log(x)

Simplify each term.
log(x^3)+log(y^2−2y+1)+log(x^−5)

Remove the negative exponent by rewriting x^−5 as 1/x^5.
log(x^3)+log(y^2−2y+1)+log(1/x^5)

Combine logs to get log(x^3(y^2−2y+1))
log(x^3(y^2−2y+1))+log(1/x^5)

Combine logs to get log(x^3(y^2−2y+1)/x^5)
log(x^3(y^2−2y+1)/x^5)

Cancel x^3 in the numerator and denominator.
log(y^2−2y+1/x^2)

Rewrite 1 as 1^2.
y^2−2y+1^2/x^2

Factor by perfect square rule.
(y−1)^2/x^2

Replace into larger expression.

log((y−1)^2/x^2)

3 0

3 years ago

I ONLY NEED THE CHECK PART PLEASEEEE HELP ASAPPP i’ll mark brainliest !!!

inysia [295]

Answer:

x=-10

Step-by-step explanation:

(3x+2)/4=-7

3x+2=4×-7

3x=-28-2

3x=-30

x=-10

7 0

2 years ago

Read 2 more answers

The probability that your call to a service line is answered in less than 30 seconds is 0.85. Assume that your calls are indepen

aev [14]

Answer:

a) 0.1720

b) 0.8298

c) 19

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So 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.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.85$

(a) If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ .

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.85)^{9}.(0.15)^{3} = 0.1720$

(b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$