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Maslowich
3 years ago
14

The average of four numbers is 98. If three of the numbers are 86,87,and 91 what is the fourth number?

Mathematics
1 answer:
timurjin [86]3 years ago
7 0
To find the average, you have to add all the numbers up and then divide by the amount of numbers you added together.

Equation: (86+87+91+x)/4=98
Solve for x:
86+87+91+x=98*4
264+x=392
x=392-264
x=128

The fourth number is 128
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Water tank is being filled with water. Before water is pumped in, the water level in the tank is 12 inches high. After 20 minute
zhenek [66]

Answer:

D. H = 2.1t + 12

Step-by-step explanation:

Let us assume the t be the time in minutes

And h be the water level

Now before reaching to the equation that need to be used

before this, determine the inches per minute i.e.  

= 54 inches - 12 inches

= 42 inches in 20 minutes.

Now for per minute, it would be

= 42 inches ÷ 20 minutes

= 2.1 inches per minute

After this, multiply the inches per minute with the minutes t and add the sale to the beginning value i.e. 12

So the equation is

H = 2.1t + 12

hence, the last option is correct

7 0
2 years ago
write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"
TEA [102]

Answer:

y = - \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{3} , then

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \frac{1}{3} x + 1 ← equation of line

8 0
2 years ago
In each of the following scenarios, determine if the data are paired.
zmey [24]

Answer:

1. Can be Paired or Not Paired

2. Paired

3. Not Paired

Step-by-step explanation:

Two sets of observations are paired if each observation in one set has a special correspondence or connection with exactly one observation in the other data set.

1. Can be Paired or Not paired

Reason -

We might look at testing the difference of means using a two sample t-test. However, we may also try running a paired t-test.

But its used in cases where the observations are usually from the same populations at different times or through different sources etc.

Hence can't conclude that it is paired or not paired.

2. Paired

Reason -

Each record is a price of the same item from different stores.

3. Not paired

Reason -

This is again a case of testing the difference of means of two-samples (2 independent samples precisely) that are not paired.

5 0
3 years ago
the cost of having a package delivered has a base fee of $10.80. every pound over 5 lbs cost an additional $0.41 per pound. writ
Anna007 [38]
C = 0.41(w - 5) + 10.80
7 0
3 years ago
In one year, the student enrollment increased from 560 to 588. This was an increase of what percent?
sergiy2304 [10]

Answer:

5% Increase

Step-by-step explanation:

560 * 0.05 = 28

560 + 28 = 588

8 0
3 years ago
Read 2 more answers
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