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3 years ago

What is the best estimate of the mean price of all the sunglasses on the rack?

Mathematics

2 answers:

Gwar [14]3 years ago

7 0

The mean of the sample is
(12 +12 +14 +15 +18 +20 +20 +25)/8 = 136/8 = 17

The best estimate of the mean of the population is
$17

Morgarella [4.7K]3 years ago

5 0

$17 is the answer to this problem
.

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Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte

Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

"She has 10 more dimes than nickels"

d = n + 10

"twice as many quarters as dimes."

q = 2d

How many coins of each kind does she have?

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

.05(d-10) + .1d + .25(2d) = 15.75

.05d - .5 + .1d + .5d = 15.75

.65d - .5 = 15.75

.65d = 15.75 + .5

.65d = 16.25

d = 16.25/.65

d = 25 dimes

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0

2 years ago

Evaluate 6²-7²+8²-9²+..+998²-999²

Llana [10]

Answer:

-499,485.

Step-by-step explanation:

We can transform this to an arithmetic series by working it out in pairs:

6^2 - 7^2 = (6-7)(6+7) = -13

8^2 - 9^2 = (8-9)*8+9) = -17

10^2 - 11^2 = -1 * 21 = -21 and so on

The common difference is -4.

The number of terms in this series is (998 - 6) / 2 + 1

= 992/2 + 1 = 497.

Sum of n terms of an A.S:

= n/2 [2a1 + (n - 1)d

Here a1 = -13, n = 497, d = -4:

Sum = (497/2)[-26 - 4(497-1)]

= 497/2 * -2010

= -499,485.

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3 years ago

Diagram I shows a triangle with a foot length of 4ycm and a height (y +5). Figure 2 shows a square with a length of y cm. Given

elixir [45]

Answer:

Area of equilateral triangle:36cm

Square area:12cm

Step-by-step explanation:

We need to find the corresponding relationship, it is not difficult to find that this is a simple quadratic function problem.

I used pictures to express the process. You can click to view. I'm not English either. I'm Chinese, but I believe that academics know no boundaries.

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3 years ago

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Andrej [43]

Answer:

10/11>9/11>7/11

Step-by-step explanation:

It is 10 out of eleven which is bigger than 9 out of eleven which is bigger than 7 out of eleven.

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3 years ago

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nikdorinn [45]

Answer:

Step-by-step explanation:

12-6+4

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