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Alexandra [31]
3 years ago
11

Chris is using the expression 4x + 2 to represent the number of students in his gym class. There are four times as many students

as basketballs, and there are two more students in the locker room. What does x represent? The number of students and basketballs. The number of students in the gym. The number of students. The number of basketballs.
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
3 0

Answer:

18

Step-by-step explanation:

i wanna say 18 but im wrong  i believe

bazaltina [42]3 years ago
3 0

Answer:

d

Step-by-step explanation:

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A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st
Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. So we use the binomial probability distribution 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.

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that n = 15, p = \frac{1}{5} = 0.2

What is the probability that he answers at least 10 questions correctly?

P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

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

P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001

P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011

P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0

P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0

P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0

P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0

P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111

0.0111% probability that he answers at least 10 questions correctly

3 0
3 years ago
Zoe babysat for x+3 hours yesterday.she earned x-2 dollars per hour.write a polynomial expression that represents the amount Zoe
vekshin1

Answer:

y=3x+2

Step-by-step explanation:


5 0
3 years ago
Which unit price is the highest?
Leviafan [203]

Answer:peppers

Step-by-step explanation:

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3 years ago
Line segment MN has endpoints M(4,-5) and N(-3,1). Find MN.
pshichka [43]
9.2195444572928873100022742817628. or square root of 85

8 0
3 years ago
Need answer ASAP giving points
dalvyx [7]

Answer:

-  \frac{11}{12}

Step-by-step explanation:

\frac{ \frac{5}{8}  +  \frac{3}{4} }{ \frac{ - 2}{3} -  \frac{5}{6}  }  =  \frac{ \frac{5}{8}  +  \frac{6}{8} }{ \frac{ - 4}{6}  -  \frac{5}{6} }  \\  \\  =  \frac{ \frac{5 + 6}{8} }{ \frac{ - 4 - 5}{6} }  \\  \\  =  \frac{ \frac{11}{8} }{ -  \frac{9}{6} }  \\  \\  =  \frac{11}{8}  \div ( -  \frac{9}{6} ) \\  \\  =  \frac{11}{8}  \times ( -  \frac{6}{9} ) \\  \\  =  \frac{11}{8}  \times ( -  \frac{2}{3} ) \\  \\  =  \frac{11}{4}  \times ( -  \frac{1}{3} ) \\  \\  =  -  \frac{11}{12}

8 0
3 years ago
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