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Artist 52 [7]
1 year ago
10

The average of six positive integers starting with a is equal to b. What is the average of five consecutive integers ending with

b?
a)a+1
b)a-1
C)a+2
d)a+3
e)a+4
Mathematics
1 answer:
kvasek [131]1 year ago
7 0

The average of the five consecutive numbers ending with b in discuss when expressed in terms of a is; Choice D; a+3.

<h3>What is the average of five consecutive integers ending with b?</h3>

First, since it was given in the task content that the average of six positive consecutive odd integers starting with a is equal to b, it therefore follows that;

(a+a+2+a+4+a+6+a+8+a+10)/6 = b

6b=6a+30

b=a+5

Also, let the average of the consecutive intergers ending with b be denoted by; x.

(b+b-1+b-2+b-3+b-4)/5 = x

=(5b-10)/5

=b–2

The average, x=b – 2 (where b = a-5)

Ultimately, the value of the required average is; = a+5-2 = a+3.

Read more on average of integers;

brainly.com/question/24369824

#SPJ1

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2.85 as a mixed number
WARRIOR [948]
The number 2.85 can be writen using the fraction 285/100 which is equal to 57/20 when reduced to lowest terms.
It is also equal to 2 17/20 when writen as a mixed number.
You can use the following approximate value(s) for this number:57/20 =~ 2 6/7 (if you admit a error of 0.250627%)2.85 =~ 2 5/6 (if you admit a error of -0.584795%)2.85 =~ 3 (if you admit a error of 5.263158%)
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3 years ago
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Consider a continuous random variable x, which is uniformly distributed between 65 and 85. The probability of x taking on a valu
madam [21]

We will see that the probability of x taking on a value between 75 to 90 is P = 0.5

<h3>How to get the probability?</h3>

We know that x is a continuous random variable uniformly distributed between 65 and 85.

This means that the probability that x value y in the range is such that:

1 = P(y)*(85 - 65) = P(y)*20

1/20 = P(y).

Now, the probability of x taking a value between 75 and 85 is:

P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5

And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).

Then we conclude that the probability of x taking a value between 75 to 90 is:

P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5

If you want to learn more about probability, you can read:

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5 0
2 years ago
The scale factor between two similar shapes is 4. what is the scale factor of area
lana [24]
I think the scale of the factor of area is 2
6 0
3 years ago
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Negative x minus 5 equals negative 11 what is x?<br> -x-5=-11
sergejj [24]
-x - 5 = -11

add 5 to both sides

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Answer:

0.14

Step-by-step explanation:

Using the poisson probability relation :

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From the question ; mean, λ = 5 ; x = 3

Hence,

P(x = 3) = (5^3 * e^-5) ÷ 3!

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P(x = 3) = 0.8422375 / 6

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