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3 years ago

10

Kendra has a black walnut tree in her yard. To make extra money this fall, she gathers the walnuts off the ground and sells them

for $0.45 per pound. If she gathers 53.4 pounds, how much money does she make?

1 answer:

larisa [96]3 years ago

3 0

Answer: About $118.66

Step-by-step explanation:

53.4/0.45 is 118.66

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faust18 [17]

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Svetlanka [38]

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Suppose you have a random sample of 50 of these animals. What is the probability that the mean life span of the sample group is

katrin2010 [14]

In what I know of this problem and what you told me I think there is a 1/2 chance!

think about it, if the life span is 15 years old with standard deviation of 3 then that means we can have bats from 12~18 years old and the mean of the 50 numbers can be anything between that depending on the results we got. Then half of values in interval 12~18 is over 15 which gives it a 1/2 probability!

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3 years ago

10. What is the value of the function f(x) = 7x when x = 0.75 ?

melomori [17]

Answer:

7(0.75) = 5.25

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Step-by-step explanation:

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3 years ago

A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With

12345 [234]

Answer:

Distance of foot of ladder from building: <em>37.2 inches </em>

Distance of top of ladder from building's base: <em>114 inches </em>

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle $\triangle ABC$ is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, <em>AC </em>= <em>10 foot </em>

Also, we are given that angle made by the base of ladder with the ground is $72^\circ$ .

We have to find <em>AB</em> and <em>BC</em>.

$\angle BAC = 72^\circ$

Using trigonometric functions:

$cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches$

$sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches$

Distance of foot of ladder from building: <em>37.2 inches </em>

Distance of top of ladder from building's base: <em>114 inches </em>

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3 years ago