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Mkey [24]
2 years ago
8

A flagpole casts a shadow of 30 ft. A boy standing next to the flagpole casts a shaow of 9ft. What is the height of the flagpole

is the boy is 6ft tall?
Mathematics
1 answer:
morpeh [17]2 years ago
6 0
20 ft because the shadow would be 3/2 of the height. 9 is 3/2 of 6 so the height would be 20 bc 30 is 3/2 of 20
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After a very successful year, Cheap-Rentals raised salaries by a scale factor of `\frac{11}{10\ }`. If Luan now makes $14.30 per
Soloha48 [4]

Answer:

$13

Step-by-step explanation:

Given that :

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New salary = $14.30

Initial salary = x

To obtain the value of the initial salary,

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11 / 10 * x = 14.30

1.1x = 14.30

x = 14.30 / 1.1

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4 0
3 years ago
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Amiraneli [1.4K]

Answer:

1. work is the time it takes to move an object once acted upon by a force

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3 years ago
Plot two points that are 3units from Point C and also share the same y-coordinate as Point C.
egoroff_w [7]

The two points at a distance of 3 units from C with the same y coordinate are (-3, -5) and (-9, -5).

Step-by-step explanation:

Step 1:

First, we must plot the point C on the graph. Point C is on the third quadrant so the x value and the y value are negative.

The coordinate of C is (-6, -5).

We need to plot two points that are 3 units away from point C but have the same y coordinate i.e. y = -5.

Step 2:

So assume the two other points are A and B.

The y coordinates of A and B are -5. Only the x coordinate varies. So in order to get the coordinates of point A and B, we add and subtract 3 from the x coordinate of point C.

Point A = (-6+3, -5) = (-3,-5).

Point B = (-6-3, -5) = (-9, -5).

So two points at a distance of 3 units from C with the same y coordinate are (-3, -5) and (-9, -5).

6 0
3 years ago
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.3 and P(B) = 0.7. If
Thepotemich [5.8K]

Answer:

See below

Step-by-step explanation:

What is P(A B)?

If A and B are mutually exclusive, then  

P(AB) = P(A∩B) = P(∅) = 0

What is P(A | B)?

By definition  

<em>P(A | B) =  P(A∩B)/P(B). </em>

Since  

P(A∩B) = 0, then P(A | B) = 0

Is P(A | B) equal to P(A)?

No, because P(A | B) = 0 and P(A) = 0.3

Are events A and B dependent or independent?

A and B would be independent if

P(A | B) = P(A) and P(B | A) = P(B)

But both P(A |B) and P(B | A) equals 0 and P(A) = 0.3, P(B) = 0.7

Hence, <em>A and B are dependent. </em>

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

No, it is not.

As we already saw, A and B are mutually exclusive but they are not independent.

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

If A and B are not empty events which are mutually exclusive, they can never be independent.

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3 years ago
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irakobra [83]

Answer:

4 mph

Step-by-step explanation:

yard → mile = divide the length value by 1760

7040 / 1760 = 4 miles per hour

6 0
3 years ago
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