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ryzh [129]
3 years ago
13

You are 6 feet tall and cast a 10 foot shadow. At the same time of day, your friend

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer: The friend would be 5ft tall! <3

Step-by-step explanation:

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Expand and simplify 5(3x+2)-2(4x-1)
Rama09 [41]

Answer:

15x+10-8x+2

7x+12

Step-by-step explanation:

4 0
3 years ago
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Determine the slope of the line 5x − 3y − 12 = 0.
givi [52]

Answer:

slope of a line is given by -A/B

Here A=5 and B= -3

so , when we plug in the values:  -(5/-3) = 5/3

five thirds lol.

6 0
3 years ago
A factory produces bottled water at a rate of 2,000 cases per hour. They know that 1.14% of the cases must be rejected because a
IRINA_888 [86]
1.14 per 100 or 1.14:100 or \frac{1.14}{100}

\frac{1.14}{100} =  \frac{n}{2000}

I will multiply the numerator by 20 because multiplying by 20 is how 100 became 2000
22.8 cases are rejected per hour.
4 0
3 years ago
A teacher teaches two classes with 8 students each. Each student has a 95% chance of passing their class independent of the othe
dsp73

Answer:

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability that all students pass in a class:

Class of 8 students, which means that n = 8

Each student has a 95% chance of passing their class independent of the other students, which means that p = 0.95

This probability is P(X = 8). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{8,8}.(0.95)^{8}.(0.05)^{0} = 0.6634

Find the probability that, in exactly one of the two classes, all 8 students pass.

Two classes means that n = 2

0.6634 probability all students pass in a class, which means that p = 0.6634.

This probability is P(X = 1). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,1}.(0.6634)^{1}.(0.3366)^{1} = 0.4466

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

3 0
3 years ago
A landscape architecture submitted a design for a triangle- shaped flower garden with the side lengths of 21 ft, 37 ft, and 15 f
Alekssandra [29.7K]
Those lengths will NOT form a triangle. 
According to the triangle inequality theorem, the longest side has to be LESS than the sum of the other 2 sides.


4 0
3 years ago
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