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tresset_1 [31]
2 years ago
5

In the lake, a sailboat casts a shadow of 4 yards. A buoy that is 2 feet tall casts a shadow of 1 foot. What is the height of th

e sailboat?
Mathematics
2 answers:
morpeh [17]2 years ago
7 0
First you would find that not all the units are the same in this problem, so you convert yards to feet. So 4 yards = 12 feet.

The proportion you would make would be x/12 = 2/1
vladimir1956 [14]2 years ago
3 0

Answer:

24 feet! :-)

Step-by-step explanation:

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Write two different pairs of decimals whose sums are 8.69. one pair should involve regrouping.
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Regrouping (carrying): 4.93 + 3.76
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The perimeter of a rectangle is 84 cm. If the length is 25 cm, how wide is the rectangle?
MrMuchimi

Answer: 17 cm

Step-by-step explanation:

84 - 25(2) = 2x

84 - 50 = 2x

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3 years ago
Find the inverse function
Troyanec [42]

The inverse of the function is f(x) = x^{3} + 8

In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.

f(x) = \sqrt[3]{x - 8} ----> Switch f(x) and x

x = \sqrt[3]{f(x) - 8} ----> Cube both sides

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4 0
3 years ago
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. Thi
Dovator [93]

Complete question:

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby this mention is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect so the probability of a girl is 0.5. Assume that the group consists of 36 couples.

A) Find the mean and standard deviation for the number of girls in groups of 36 births.

B) Use the range rule of thumb to find the values separating results that are significantly low and significantly high.

C) Is the result of 33 girls significantly high? A result of 33 girls would suggest the method is effective or is not effective?

Answer:

a) mean = 18

Standard deviation =3

b) low range = 12

High range = 24

c) The result of 33 girls is significantly high. Yes, the method is effective.

Step-by-step explanation:

Given:

p = 0.5

n = 36

a) The mean is the product of n and p

Mean u = np

u = 36 * 0.5 = 18

The standard deviation is the square root of the product of n and p&q.

S.d ó = \sqrt{npq}

= \sqrt{np(1-p)}

= \sqrt{36(0.5)(1-0.5)} = \sqrt{9} = 3

b) To find the range rule of thumb:

• For low range

Low range = u - 2ó

= 18 - (2 * 3)

= 12

• High range

= u + 2ó

= 18 + (2*3)

= 24

c) The result is significantly high, because 33 is greater than 24 girls.

A result of 33 girls would prove the method as effective.

8 0
3 years ago
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