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VARVARA [1.3K]
3 years ago
9

For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following t

able shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student
Grade 9
Grade 10
Grade 11
Grade 12
Total
Salad
37
34
21
28
120
83
71
57
37
248
French fries
Total
120
105
78
65
368

From those who purchased the lunch special that day, one student will be selected at random. What is the probability that the student selected will be in grade 10 given that the student ordered
french fries as the side order?
A
71/368
B
105/368
C
71/245
D
245/308
Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0

Answer: E

Step-by-step explanation:

natita [175]3 years ago
4 0

Answer:

C 71/248

Step-by-step explanation:

College Board

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This problem has been solved!See the answerA municipal bond service has three rating categories (A, B, and C). Suppose that in t
mariarad [96]

Answer:

a. \frac{35}{51}

b. \frac{51}{100}

c. \frac{1}{5}

Step-by-step explanation:

Suppose cities represented by C', suburbs represented by S and rural represented by R,

Let x be the total number of bonds issued throughout the US,

According to the question,

n(A) = 70% of x = 0.7x,

n(B) = 10% of x = 0.1x,

n(C) = 20% of x = 0.2x,

n(A∩C') = 50% of n(A) = 0.5 × 0.7x = 0.35x,

n(A∩S) = 20% of n(A) = 0.2 × 0.7x = 0.14x,

n(A∩R) = 30% of n(A) = 0.3 × 0.7x = 0.21x,

n(B∩C') = 40% of n(B) = 0.4 × 0.1x = 0.04x,

n(B∩S) = 30% of n(B) = 0.3 × 0.1x = 0.03x,

n(B∩R) = 30% of n(B) = 0.3 × 0.1x = 0.03x,

n(C∩C') = 60% of n(C) = 0.6 × 0.2x = 0.12x,

n(C∩S) = 15% of n(C) = 0.15 × 0.2x = 0.03x,

n(C∩R) = 25% of n(C) = 0.25 × 0.2x = 0.05x,

n(C') = n(A∩C')  + n(B∩C')  + n(C∩C')  = 0.35x + 0.04x + 0.12x = 0.51x

n(S) = n(A∩S) + n(B∩S) + n(C∩S) = 0.14x + 0.03x + 0.03x = 0.20x

a. The probability that it will receive an A rating, if a new municipal bond is to be issued by a city,

P(\frac{A}{C'})=\frac{P(A\cap C')}{P(C')}=\frac{0.35x/x}{0.51x/x}=\frac{0.35}{0.51}=\frac{35}{51}

b. The proportion of municipal bonds are issued by cities = \frac{n(C')}{x}

=\frac{0.51x}{x}

=\frac{51}{100}

c. The proportion of municipal bonds are issued by suburbs = \frac{n(S)}{x}

=\frac{0.20x}{x}

=\frac{20}{100}

=\frac{1}{5}

3 0
3 years ago
Which of the following is the best for 9 8/9 minus 4 8/15
eduard

Answer:

Hi there!

The correct answer to this question is: 97/15

Step-by-step explanation:

First step is to change all the mixed fractions into improper fraction.

9 8/9 becomes 99/9 and 4 8/15 becomes 68/15

then you divide 99/9 you get 11. then you multiply 11 with 15 to get a common denominator. so now the equation is 165/15 - 68/15 which equals 97/15

5 0
3 years ago
F(x) = 3x2 + 2 and g(x) = x2 – 9,
Leona [35]
The correct answer for this is shown below in the picture

5 0
3 years ago
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