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Lyrx [107]
2 years ago
14

Records at an insurance company showed that the first 30 customers made an average of 5 claims each through their lifetime. Afte

r the records of a further 75 customers had been assessed, the average claim rose to 6 per customer. What is the average number of claims by the last 75 customers only?
Mathematics
1 answer:
umka2103 [35]2 years ago
8 0

The average of the 75 customers will be 6.4.

<h3>How to calculate the value?</h3>

The first 30 customers made an average of 5 claims each. The total claims will be:

= (5 × 30) = 150

When 75 more people were assessed, the average was 6. Therefore, the total claims will be:

= (75 + 30) × 6

= 105 × 6

= 630

Therefore, the average of the 75 customers will be:

= (630 - 150)/75

= 480/75

= 6.4

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

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zhuklara [117]

Answer:

Option D.

Step-by-step explanation:

The given points are (-2,0), (0,1), (0,-4) and (3,0).

In each ordered pair first element is x-coordinate and second is y-coordinate.

For 4 points, the table must have 2 columns and 4 rows.

So, the required table of values is

x         y

-2        0

0       -4

0        1

3        0

Therefore, the correct option is D.

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3 years ago
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8 quarts is equal to 32 cups :)
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Determine, using the intermediate value theorem, if the function F(x)=x^3+2x-1 has a zero on the interval [0,1]. Justify your an
SSSSS [86.1K]

Plug x = 0 into the function

f(x) = x^3 + 2x - 1

f(0) = 0^3 + 2(0) - 1

f(0) = -1

Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.

Repeat for x = 1

f(x) = x^3 + 2x - 1

f(1) = 1^3 + 2(1) - 1

f(1) = 2

This result is positive.

---------------------------

We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.

To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515

7 0
3 years ago
Find the solution by graphing the equations pls help
lilavasa [31]

Answer:

graph these
y = 2x + 2
y = 2x - 3

Step-by-step explanation:

2x - y = -2
2x - y = 3

convert to y intercept form
first
2x - y = -2
-y = -2x - 2
y = 2x + 2
second
2x - y = 3
-y = -2x + 3
y = 2x - 3

you are left with
y = 2x + 2
y = 2x - 3
i cannot graph these for you, but i assume you know how, there is no solution because the lines are parallel

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2 years ago
Could anyone help me with this ASAP ?
Ahat [919]

Answer:

Step-by-step explanation:

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-3x^2 ( x^2 + 3x -5)

if you use quadratic formula (see image)

~~~~~~~~~~~~~~~~~~~~~~

10x^3  -35x^2 +6x -21

5x2(2x-7) +3(2x-7)

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3 years ago
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