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d1i1m1o1n [39]
3 years ago
8

John is making himself a lunch. He has three different soups to choose from, four different kinds of pop, and three different ki

nds of fruit. How many different lunches can he prepare today
Mathematics
1 answer:
wariber [46]3 years ago
7 0
For this problem, we use the Fundamental Counting Principle where it states that if an event has n possible outcome and another independent event has m outcomes then there will be nm total possible outcome. Therefore, there are 3x4x3 = 36 possible different lunch John can make.
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one mile is about 1.61 kilometers. volcano Mauna Kea is 120 kilometers wide. what is the width of the volcano in miles, rounded
mezya [45]
\frac{1}{1.61} = \frac{x}{120}  \\  \\ 1*120=1.61*x \\  \\ 120=1.61x \\  \\ 74.5=x

74.5 miles
3 0
4 years ago
The box plots below show student grades on the most recent exam compared to overall grades in the class
DaniilM [7]

Answer:

3. The class median is lower than the exam median

Step-by-step explanation:

The median of the box plot is indicated by the vertical line that divides the box.

Thus, the Class median grade is about 80, while the Exam median grade is more than 80.

Comparing grades, this means that the class median is lower. than the exam median.

Therefore, "the class median is lower than the exam median" is the right information that describes the median.

5 0
3 years ago
Will someone please tell me what I got correct and what I got incorrect
alisha [4.7K]

Answer:

all correct

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
An aircraft seam requires 24 rivets. The seam will have to be reworked if any of these rivets are defective. Suppose rivets are
kirill [66]

Answer:

Step-by-step explanation:

a)

p(d) - probability of a rivet being defective

p(r) - probability of seam needing to be reworked

The probability of the seem needing to be reworked is equal to the probability that ANY of 24 rivets is defective

Thus the probability that none of the 25 rivets is defective is 1-p(r)

p(r) = 16%, thus 1-p(r) = 84%

1-p(r) = (1-p(d))^24

0.84 = (1-p(d))^24

0.84^(1/24) = 1-p(d)

==> 1-p(d) = 0.9927615998

==> p(d) = 1-0.9927

==> p(d) = 0.0073

b) given p(r) = 8%, thus 1-p(r) = 92%

1-p(r) = (1-p(d))^24

0.92 = (1-p(d))^24

0.92^(1/24) = 1-p(d)

==> 1-p(d) = 0.99653179446

==> p(d) = 1-0.9965

==> p(d) = 0.0035

5 0
3 years ago
mr john has a son and a daughter , the son being 4 years older than daughter.Five years ago the age of mr john was 23 years more
jeka94

First, let us define our variables.

Let

x = age of the father

y = age of the son

z = age of the daughter

 

5 years ago..

(x – 5) = age of the father

(y – 5) = age of the son

(z – 5) = age of the daughter

 

After 18 years...

(x + 18) = age of the father

(y + 18) = age of the son

(z +18) = age of the daughter

 

From the first condition

y = z + 5 à eqn 1

5 years ago

(x-5) = 23 + (y-5) + (z-5)

x –y –z = 18 à eqn 2

after 18 years

(x+18) = 17*[(y +18 –z – 18)]

x – 17y + 17z = -18 à eqn 3

 

solving the 3 equations simultaneously

x = 67

y = 27

z = 22

 

 

6 0
3 years ago
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