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Goshia [24]
3 years ago
7

Awsner this with step by step (can use calculator)​

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

Answer:

x = 9.2

x =22.0

x = 8.7

Step-by-step explanation:

Required

Find x

(a)

x is calculated using tangent formula

\tan(57) = \frac{x}{6}

Make x the subject

x = 6 * \tan(57)

x = 6 * 1.5399

x = 9.2394

x = 9.2 --- approximated

(b):

x is calculated using cosine formula

\cos(60) = \frac{11}{x}

Make x the subject

x = \frac{11}{\cos(60)}

x = \frac{11}{0.5}

x =22.0

(c):

x is calculated using sine formula

\sin(60) = \frac{x}{10}

Make x the subject

x = 10 * \sin(60)

x = 10 * 0.8660

x = 8.660

x = 8.7 --- approximated

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A job fair was held at the Student Union. 25% of the students who attended received job offers. Of all of the students at the jo
vovangra [49]

Answer:

A) Both events are not independent.

B) Both events are not mutually exclusive

C) 8.33%

D) 80%

Step-by-step explanation:

A) Both events are not independent. This is because, If B occurs it means that it is very likely that J will occur as well.

B) Both events are not mutually exclusive. This is because it is possible for both events J and B to occur at the same time.

C) we want to find the probability that Joe who is not a business student will receive the job offer.

This is;

P(J|Not B) = P(J & Not B)/P(Not B)

Now,

P(J & Not B) = P(J) – (P(B) × P(J | B))

25% of the students who attended received job offers. Thus; P(J) = 0.25

40% were from the College of Business. Thus;

P(B) = 0.4

Among the business students, 50% received job offers. Thus;

P(J|B) = 0.5

Thus;

P(J & Not B) = 0.25 - (0.4 × 0.5)

P(J & Not B) = 0.25 - 0.2

P(J & Not B) = 0.05

Since P(B) = 0.4

Then, P(Not B) = 1 - 0.4 = 0.6

Thus;

P(J|Not B) = 0.05/0.6

P(J|Not B) = 0.0833 = 8.33%

D) This probability is represented by;

P(B | J) = P(B & J)/P(J)

P(B & J) = (P(B) × P(J | B)) = (0.4 × 0.5) = 0.2

P(B | J) = 0.2/0.25

P(B | J) = 0.8 = 80%

5 0
3 years ago
A club swimming pool is 21ft wide and 41ft long. The club members want a uniform width border around the pool. They have enough
oksano4ka [1.4K]

<u>Answer-</u>

<em>Strip with </em><em>2.13 ft </em><em>width can be used. </em>

<u>Solution-</u>

A club swimming pool is 21 ft wide and 41 ft long.

Hence, the perimeter of the swimming pool is

P=2(\text{Length}+\text{Width})=2(41+21)=2(62)=124\ ft

The club members want a uniform width border around the pool.

They have enough material for 264 ft²

As they will cover the perimeter of the rectangular pool, so the length of the total used strip is equal to the perimeter of the swimming pool.

Let the width of the strip is x ft

So, the total area of the used strip is,

A=\text{Length}\times \text{Width}

Putting the values,

\Rightarrow 264=124\times x

\Rightarrow x=\dfrac{264}{124}

\Rightarrow x=2.13\ ft

Therefore, strip with 2.13 ft width can be used.

4 0
3 years ago
9. Jackie invited 17 people to
daser333 [38]

Answer:

  27

Step-by-step explanation:

17 - 8 = 9 people came

The number of presents brought is 3×9 = 27.

Jackie got 27 presents.

4 0
3 years ago
Which value would not be part of the domain of the inverse of the given relation?
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Not sure sorry I tried
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If your favorite drones original price was $1,400, what would the price be if it were 73% off?
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The drone would be would be $378
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