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Anarel [89]
3 years ago
5

(I really need help) FGHIJ ~ YUVWX. Find UY and GH.

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

UY = 90

GH = 4

Step-by-step explanation:

Given that FGHIJ ~ YUVWX, therefore, their corresponding side lengths would be proportional to each other. Thus:

UY/GF = VW/HI

UY/10 = 63/7 (Substitution)

UY/10 = 9

UY = 10*9

UY = 90

In the same vein, we have:

VW/HI = UV/GH

63/7 = 36/GH (Substitution)

9 = 36/GH

GH*9 = 36

GH = 36/9

GH = 4

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370 College freshmen were interviewed. 200 were registered for an Advanced Math class. 270 were registered for an English class
frozen [14]

Answer:

Step-by-step explanation:

To aid in understanding, draw three circles...

100 were registered for both Math and English.

50 were registered for both Sport and English but not Math.

70 were registered for Math, Sport, and English.

From here we will be able to calculate for those that signed up for only English class: Total number of students that signed up for english class

a. none signed up only for Maths (refer to attached document)

b. How many signed up for neither Math nor English meaning they signed up for only sports which is 70 from the venn diagram in the attachment.

c. How many signed up for an English class and at least one other class?

From the venn diagram:

we could have an English class and maths class - 100

we could also have an a English class and sports - 50

Thus total is 150.

d. What is the total fee for all the students enrolled in classes

From the diagram, 120 (english only and sport only) enrolled for only one class = 120 x $100 = $12,000

From the diagram, 180 (english and sport, maths and sport and english and maths) enrolled for two classes = 180 x $150 = $27,000

From the diagram, only 70 enrolled for the three classes = 70 x $200 = $14,000

Total fees = $12,000 + $27,000 + $14,000 = $53,000

5 0
3 years ago
The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 75 mi
jeka57 [31]

Answer:

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

Uniformly distributed over the interval 40 to 75 minutes.

This means that a = 40, b = 75

It is known that the cycle time exceeds 45 minutes

This means that we can use a = 45

What is the probability that the cycle time exceeds 50 minutes?

P(X > 50) = \frac{75 - 50}{75 - 45} = 0.8333

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

8 0
3 years ago
A school principal wants to know more about the number of students absent each day. He counts the number of students absent each
True [87]

Answer:

6.27

Step-by-step explanation:

We are to obtain the standard deviation of the given values :

{24, 18, 31,25, 34}

The standard deviation = √(Σ(x - mean)²/ n)

The mean = (ΣX) /n

Using calculator to save computation time :

The standard deviation, s = 6.27 (2 decimal places)

6 0
3 years ago
1.625 rounded to the nearest hundredth
Mumz [18]
1.625 rounded to the nearest hundredth is 1.63
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3 years ago
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MatroZZZ [7]

Answer:

212 is the perimeter

Step-by-step explanation:


4 0
3 years ago
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