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rusak2 [61]
3 years ago
5

Insert three arithmetic means between 4 and 10.

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

5.5, 7, 8.5

Step-by-step explanation:

Find the mean of 4 and 10, that is

\frac{4+10}{2} = \frac{14}{2} = 7

Now repeat with 4 and 7 and 7 and 10

\frac{4+7}{2} = \frac{11}{2} = 5.5

\frac{7+10}{2} = \frac{17}{2} = 8.5

Hence

4, 5.5, 7, 8.5, 10 ← is an arithmetic sequence with d = 1.5

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The sum of two numbers is 65 one is 4 times as large as the others.what are the numbers?​
bixtya [17]
<h3><em>Hey! </em></h3>

<u>let the numbers be n and m</u>

<u>n+m=65</u>

<u>n=4m</u>

<em>So when we put our work in:</em>

<u>4m+m=65</u>

<u>5m=65</u>

<u>m=13</u>

<u>n=52</u>

So therefore your two numbers are 52 and 13!

<em>Hope this helped! °ω°</em>

6 0
3 years ago
Jezebel took a train to visit her uncle. The train traveled at a constant speed of 40 miles per hour. Complete the table.​ Then,
sergiy2304 [10]

Answer:

[see below]

Step-by-step explanation:

We can tell that for every hour passed the distance traveled by the train would increase by 40 miles.

We can use the equation d = 40t to determine the values of the table. The 'd' is total distance and 't' is the number of given hours.

Two hours:

d = 40(2)

d = 80

Three Hours:

d = 40(3)

d = 120

Four Hours:

d = 40(4)

d = 160

Hope this helps.

4 0
3 years ago
Read 2 more answers
If f (x) = x² - 7, evaluate the following: f(12) f(-7)
Julli [10]

Answer: f(12) = 137, f(-7) = 42

Step-by-step explanation: In a function, what you want to do is plug in the value they give you for x. This means you substitute x with the value they are looking for.

In this case, they are looking at 12 and -7. Let's do 12 first.

The equation becomes (12^2) - 7. 12^2 is 144, and 144-7 is 137.

Now we do -7. The equation becomes (-7)^2 - 7. -7^2 is 49, and 49 - 7 is 42.

Hope this helped!

7 0
2 years ago
The amount of time it takes Ariana to do a math problem is continuous and uniformly distributed between 38 seconds and 79 second
solniwko [45]

Answer:

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, d being greater than c, is given by the following formula:

P(c \leq X \leq d) = \frac{d-c}{b-a}

Uniformly distributed between 38 seconds and 79 seconds.

This means that a = 38, b = 79

What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem

c = 58, d = 70

P(58 \leq X \leq 70) = \frac{70 - 58}{79 - 38} = 0.2927

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

4 0
3 years ago
What is this. Please help!!
Mekhanik [1.2K]

Answer: 8x+24


Step-by-step explanation:


8 0
3 years ago
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