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Andreyy89
3 years ago
10

Plz help me!!! I need this!!! Solve 1.5n ≤ −18

Mathematics
2 answers:
mel-nik [20]3 years ago
7 0

Answer:

c≤-12

Step-by-step explanation:

1.5n≤-18

c≤-12

Jlenok [28]3 years ago
7 0

Answer:

c≤-12

Step-by-step explanation:

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What is the median of the following numbers 45,36,52,55,47, 39
Elena L [17]

Answer:

46

Step-by-step explanation:

By arranging the numbers from least to greatest, you can find the median by locating the central number in the data set.

8 0
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Quadrilateral RSTU is a parallelogram. What must be the value of x?
Luba_88 [7]
I set x-3 and 3x-13 equal to each other and then got x equal to 5. So, I believe the correct answer would be C.) 5
7 0
3 years ago
Read 2 more answers
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!
AnnZ [28]

Answer:

type 2 in the first box,

13/4 in the second box, and

-9/8 in the third one

Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

x_{vertex}= -b/2a

Which in our case is: -13/4

and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

f(-13/4)= -9/8

Then your expression for this quadratic should be:

f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one

7 0
3 years ago
Is 7/9 greater then 8/9
maksim [4K]
No because 7/9= 0.777777777789 and 8/9= 0.888888888888889
6 0
3 years ago
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen
vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

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 = 0.75

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}.(0.75)^{9}.(0.25)^{3} = 0.2581

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

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

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

P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897

P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339

P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669

P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211

P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.75 = 16.5

The closest integer to 16.5 is 17.

7 0
3 years ago
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