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torisob [31]
2 years ago
7

The average of eight numbers is 56. When one of the numbers was left out, the mean decreased to 54. What number was left out?

Mathematics
1 answer:
Alexandra [31]2 years ago
4 0

The number that was left out is 70.

<h3>What is the number that was left out?</h3>

Average is the sum of a set of numbers divided by the total numbers in the data set.

Average = sum of numbers / total numbers

  • Sum of numbers when there are 8 numbers = 56 x 8 = 448
  • Sum of numbers when there are 7 numbers = 54 x 7 = 378
  • Difference = 448 - 378 = 70

To learn more about average, please check: brainly.com/question/25842202

#SPJ1

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Given that k(x) = (2x + 4)2
taurus [48]

Answer:

f(x)=4x\\g(x)=x+2

Step-by-step explanation:

Because we have to rewrite this equation in the format f(g(x)), we have to divide, or factor to find basic terms,

Expanding the value of k(x), we have k(x)=4x+8. We see that each term can be divisible by 4, so we can factor out 4 to get

k(x)=4(x+2)

Now, we have two different terms getting multiplied. We can separate the two to get 4 \text{ and} (x+2)

Because we are multiplying 4 by the other term, this is represented by 4x

Now, we can just set f(x) and g(x) to these functions:

f(x)=4x\\g(x)=x+2

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.

Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).

3 0
3 years ago
Which decimals are equivalent to
jenyasd209 [6]

Therefore, the decimal equivalent to the expression (5 \times 10) + (2 \times \frac{1}{100} ) is 50.02

The given expression is:

(5 \times 10) + (2 \times \frac{1}{100} )

Note that \frac{1}{100} = 0.01

The expression therefore becomes:

(5  x  10)   +  (2  x  0.01)

50   +  0.02

= 50.02

Therefore, the decimal equivalent to the expression (5 \times 10) + (2 \times \frac{1}{100} ) is 50.02

Learn more here: brainly.com/question/18770964

5 0
2 years ago
Which explains why the sequence 216, 12, 2/3 is arithmetic or geometric.
DiKsa [7]
C, because every time you multiply the preceding number by 1/18, you get the next number in the sequence. It's not D, because an arithmetic sequence would be 216-1/18 (a difference of 1/18) rather than it decreasing by a factor.
6 0
4 years ago
A basketball player's "hang time" is the amount of time the player remains suspended in the air after a jump. The height (in met
matrenka [14]

Answer:

The graph is a nonlinear function. Michael Jordan's hang time is 0.9 seconds. The maximum height is about 1 meter. For t between t = 0.5 and t = 1, the height is decreasing.

Step-by-step explanation:

Okay the first one: It's nonlinear because its not a line, its a curve and its definitely not constant. The curve on the graph stops at (0.9,0) so his hangtime is 0.9 seconds. The peak of the curve is about 1 meter. Pretty self explanatory. And the last one, after the point 0.5, the height of the curve goes down, so it is decreasing.

4 0
3 years ago
glenn swims 2/3 miles on monday, 3/4mile on wednesday, and 5/6 miles on friday. What is the total of distance glenn swims on tho
Archy [21]

Answer:

She swam a total distance of 2  1/4 miles in those three days.

Step-by-step explanation:

Okay, so- The first thing you need to do is make all denominators equal to make these fractions able to be added together. So, I made all denominators 12. (Tell me if you don't know how to make them all the same denominator, and I'll be happy to help!)

<u>2/3  =  8/12   </u>

<u>3/4  =  9/12 </u>

<u>5/6  =  10/12</u>

Then, I added the numerators together. Like this:

<u>8 + 9 + 10 = 27 </u>

So, this would be:

<u>27/12</u>

Lastly, I changed this improper fraction to a mixed number. I multiplied the denominator twice because it looked like it would be closest to 27 without going over.

<u>12 * 2 = 24 </u>

<em>The "2" will be the whole number in the mixed fraction.</em> Now, I'm going to subtract 24 from the numerator.  

<u>27 - 24 = 3 </u>

<u>2 3/12</u>

After simplified, the fraction will be:

2 1/4  

<h3>Hope this helps! Let me know if you need help with something else or if you have questions about this problem !</h3>

8 0
3 years ago
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