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Amiraneli [1.4K]
3 years ago
14

A class of 25 students was asked what their favorite season was. 12 students said

Mathematics
1 answer:
dlinn [17]3 years ago
3 0

Answer:

2 students said only fall

Step-by-step explanation:

Given:

Total number of students = 25

Number of students who like fall season (F) = 12

Number of students who like summer season (S) = 18

Number of students who like both fall and summer season \left ( F\cap S \right ) = 10

To find:

Number of students who like only fall season

Solution:

A set is a well defined collection of objects. A universal set is the set of which all other sets are subsets. It is denoted by U.

According to the venn diagram,

n(only F) = =n(F)-n\left ( F\cap S \right )

=12-10=2

So, 2 students said only fall.

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Among 9 electrical components exactly one is known not to function properly. If 3 components are randomly selected, find the pro
kozerog [31]

Answer:

P=0.66

Step-by-step explanation:

We know that Among 9 electrical components, exactly one is known not to function properly. If 3 components are randomly selected.

We calculate the probability that all selected components function properly.

We calculate the number of possible combinations:

C_3^9=\frac{9!}{3!(9-3)!}=84

We calculate the number of favorable combinations:

C_3^8=\frac{8!}{3!(8-3)!}=56

Therefore the probability is:

P=\frac{56}{84}\\\\P=0.66

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4 years ago
On a six-sided number cube, what is the probability that you will roll a number greater than 3?
Alekssandra [29.7K]

Answer:

1/2

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And there are a total of 6 sides

Thus giving us 3/6

Simplify to get 1/2

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3 years ago
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What's the radius of this button. Can someone please tell me
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r=5/2

Step-by-step explanation:

Well, the 5 is the diameter and the radius is just half the diameter so the radius is 5/2.

7 0
3 years ago
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Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form.
Vladimir79 [104]

Answer:

y = x

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-8 - 0) / (-8 - 0)

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= 1

So, the slope is 1.

Plug in the slope and a point into y = mx + b and solve for b:

y = mx + b

-8 = 1(-8) + b

-8 = -8 + b

0 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

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5 0
3 years ago
I need someone to do this question
vfiekz [6]

9514 1404 393

Answer:

  $1487.50

Step-by-step explanation:

The amount of interest due is ...

  I = Prt

where P is the loan amount, r is the annual rate, and t is the number of years. Here, t = 6 months = 1/2 year, so the interest due is ...

  I = $1400×0.125×1/2 = $87.50

The total amount due is the sum of the loan amount and the interest:

  due = $1400 +87.50 = $1487.50

The total amount due after 60 months is $1487.50.

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