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antiseptic1488 [7]
3 years ago
6

Which expression is equivalent to 7/16 ? A. 7 − 16 B. 16 x 7 C. 7 ÷ 16 D. 16 ÷ 7

Mathematics
2 answers:
Elza [17]3 years ago
7 0
C because 7 divided by 16 is basically an equivalent of 7/16 good luck
ValentinkaMS [17]3 years ago
5 0
C. Is the correct answer
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Write an equation of the line with slope 2/3 that goes through the point (- 2, 5) .
Nady [450]

Answer:

y - 5 = (2/3)(x + 2)

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h), recognizing that h = -2, y = 5 and m = 2/3:

y - 5 = (2/3)(x + 2)

5 0
4 years ago
5g+3(-7+5g)=1-g<br> g equals what?
Wittaler [7]
5g + 3(-7 + 5g) = 1 - g
5g - 21 + 15g = 1 - g
20g - 21 = 1 - g
20g + g = 1 + 21
21g = 22 
g = 22/21 <===
8 0
3 years ago
Suppose that 60 percent of customers at a McDonalds purchase a hamburger, and assume that the purchases of different customers a
Alborosie

Answer:

a) 83.87% probability that at most 7 of the next 10 customers will order a hamburger.

b) 25.08% probability that exactly 6 of the next 10 customers will order a hamburger

Step-by-step explanation:

For each customer at McDonalds, there are only two possible outcomes. Either they purchase a hamburguer, or they do not. The purchases of different customers are independent. 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.

60 percent of customers at a McDonalds purchase a hamburger

This means that p = 0.6

a) What is the probability that at most 7 of the next 10 customers will order a hamburger? (3 POINTS).

This is P(X \leq 7) when n = 10.

We know that either at most 7 of the next customers will order a hamburguer, or more than 7 will. The sum of these probabilities is decimal 1. So

P(X \leq 7) + P(X > 7) = 1

P(X \leq 7) = 1 - P(X > 7)

In which

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10)

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

P(X = 8) = C_{10,8}.(0.6)^{8}.(0.4)^{2} = 0.1209

P(X = 9) = C_{10,9}.(0.6)^{9}.(0.4)^{1} = 0.0403

P(X = 10) = C_{10,10}.(0.6)^{10}.(0.4)^{0} = 0.0001

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1209 + 0.0403 + 0.0001 = 0.1613

P(X \leq 7) = 1 - P(X > 7) = 1 - 0.1613 = 0.8387

83.87% probability that at most 7 of the next 10 customers will order a hamburger.

b) What is the probability that exactly 6 of the next 10 customers will order a hamburger? (3 POINTS)

This is P(X = 6).

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

P(X = 6) = C_{10,6}.(0.6)^{6}.(0.4)^{4} = 0.2508

25.08% probability that exactly 6 of the next 10 customers will order a hamburger

7 0
3 years ago
LOT OF POINTS
guapka [62]

Answer:

<u>Given equations</u>: y = 3x² + x - 6; y = x - 4

So, Plug the value of value of y in other equation

  • 3x² + x - 6 = x - 4
  • 3x² + x - x - 6 + 4 = 0
  • 3x² - 2 = 0
  • 3x² = 2
  • x² = 2/3
  • x = √2/3

7 0
3 years ago
Read 2 more answers
A tutoring agency charges $20 for study materials, plus $40 an hour for tutoring. Which function can be used to find the total c
Fittoniya [83]

Answer:

T(h)=40h+20

Step-by-step explanation:

Please mark me brainliest if helpful :)

4 0
3 years ago
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