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poizon [28]
3 years ago
12

The number of ducks swimming In a lake decreased by 1/4 between last year and this year. last year there were 60 ducks in the la

ke. What is the population this year? If you get stuck consider drawing a diagram.​
Mathematics
1 answer:
blagie [28]3 years ago
4 0

Answer:

Given: Population of ducks in lake, last year is 60.

Also, the population of ducks this year decreased by 1/4 th over the last year.

So, the population of ducks this year is = 60*(1-1/4)

                                                          = 60*(3/4)

                                                          = 45

Therefore, the population of ducks this year is 45 ducks.

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If a radius is 1.5 inches, what is the diameter?
Alona [7]

Answer:

The diameter is 3 inches

Step-by-step explanation:

If you are calculating a circle, one of the main rules you should know is that the diameter is double the radius. In this case the radius is 1.5 inches long. If you need the diameter, you need to double that figure; in this case the answer is 3 inches

4 0
3 years ago
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After paying eight dollars for the pie, Mike has eighty - one dollars left, his friend has thirteen dollars. How much money did
Inessa [10]

Answer:

__ - 8=81

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What goes into 8 and 18
Lunna [17]

Step-by-step explanation:

common factor 8 and 18 is 2.

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3 years ago
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Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was
frozen [14]

Answer: 101.69

Step-by-step explanation:

Formula we use to find the z-score :-

z=\dfrac{x-\mu}{\sigma}    (1)

Given : \mu=90

\sigma=7

Daniel's z score : z= 1.67

Let x be the raw score for Daniel's exam grade, then substitute the values of \mu,\ \sigma\ and \ x in (1), we get

1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7\times1.67\\\\\Rightarrow\ x=11.69+90=101.69

Hence, the raw score for Daniel's exam grade = 101.69

3 0
3 years ago
From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the d
mr_godi [17]

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

4 0
3 years ago
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