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Alex_Xolod [135]
2 years ago
12

Find the area of the shaded region.

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
4 0

Answer:

69.53 ft

Step-by-step explanation:

area of a box: 18*18 = 324

area of a circle: (pi)*9^2 = 254.47

324-254.47 = 69.53 ft

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John types 62 words per minute. Which an expression for the number of words he types in m minutes?
andrezito [222]

Answer:

w = 62m

Step-by-step explanation:

We need to make an expression for the numbers of words (w) John types in m minutes.

We know he types 62 words in 1 minute, so 62 is the coefficient of m.

The dependent variable here is w, so that should on the left of the equal sign.

m, on the other hand, is independent, so that's on the right of the equal sign.

So, the expression is w = 62m.

8 0
3 years ago
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24 cards, which was 20% of the cards sold for
blagie [28]

Answer:24 cards - 20%= 19.2

Step-by-step explanation:

6 0
3 years ago
- Do two points always, sometimes, or never determine a line? Explain
White raven [17]

Answer:

Always

Step-by-step explanation:

if two points lie in a plane, then the entire line containing those points lies in that plane

8 0
3 years ago
Prove the following using a direct proof:
hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

The sum of the squares = 25 + 36 + 49 + 64

                                       = 174

Also,

Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;

-10^{2} = 100

-11^{2} = 121

-12^{2} = 144

-13^{2} = 169

The sum of the squares = 100 + 121 + 144 + 169

                                     = 534

Therefore, the sum of the squares of 4 consecutive integers is an even integer.

8 0
3 years ago
Suppose medical records indicate that
Kay [80]

Answer:

Step-by-step explanation:

Let x be the random variable representing the the length of newborn babies (in inches). Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 20 inches

σ = 2.6 inches

the probability that a given infant is between 14.8 and 25.2 inches long is expressed as

P(14.8 ≤ x ≤ 25.2)

For x = 14.8,

z = (14.8 - 20)/2.6 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 25.2

z = (25.2 - 20)/2.6 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(14.8 ≤ x ≤ 25.2) = 0.98 - 0.23 = 0.75

3 0
3 years ago
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