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kozerog [31]
4 years ago
14

A fence is to be built to enclose a rectangular area of 220 square feet. The fence along three sides is to be made of material t

hat costs 3 dollars per foot, and the material for the fourth side costs 13 dollars per foot. Find the dimensions of the enclosure that is most economical to construct
Mathematics
1 answer:
VikaD [51]4 years ago
7 0

Answer: a rectangle is a quadrilateral having opposing sides parallel and four right angles

Area of rectangle = length * width

Step-by-step explanation: Given Area of rectangle = 220 square foot

1 side of the fence = 220/4 = 55 feet

If 3 sides of the fence cost $3

Total cost for 3 sides of the fence = ( 55 + 55 + 55) * 3 = 165 * 3 = $495

Total cos for the 4th side = 55 * 13 = $715

It is more economical to construct the fence with materials that cost $3.

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Jason is a very good bowler and has proven over the
Nonamiya [84]

Answer:

The probability that Jason will get  exactly 7 strikes out of 10 attempts is 0.117.

Step-by-step explanation:

We are given that Jason is a very good bowler and has proven over the  course of a season of league play that he gets a  STRIKE 50% of the time.

Also, Jason has been given 10 attempts.

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......

where, n = number trials (samples) taken = 10 attempts

            r = number of success = 7 strikes

            p = probability of success which in our question is % of the time

                   he gets a strike, i.e; p = 50%

<em><u>Let X = Number of strikes Jason get</u></em>

So, X ~ Binom(n = 10, p = 0.50)

Now, probability that Jason will get  exactly 7 strikes out of 10 attempts is given by = P(X = 7)

                 P(X = 7)  =  \binom{10}{7} \times 0.50^{7} \times (1-0.50)^{10-7}

                                =  120 \times 0.50^{7} \times 0.50^{3}

                                =  120 \times 0.50^{10}

                                =  <u>0.117</u>

Therefore, the probability that Jason will get  exactly 7 strikes out of 10 attempts is 0.117.

6 0
4 years ago
Write 4 2/5 as an improper faction
ser-zykov [4K]

Answer:

22/5

Step-by-step explanation:

4 \frac{2}{5}

new numerator for improper fraction = (4 x 5) + 2 = 20 + 2 = 22  

=> 22/5

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3 years ago
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Firdavs [7]

Answer:

tan(X) = 1.05

Step-by-step explanation:

The triangles WXY and VTU are similar using the case AA (angle-angle).

The angle X is equal the angle T, therefore they have the same tangent value.

The tangent value is given by the opposite side to the angle divided by the adjacent side to the angle, so we have that:

tan(T) = UV / UT

tan(T) = 21 / 20 = 1.05

tan(X) = tan(T) = 1.05

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Answer:

The answer is noncollinear

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