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Mnenie [13.5K]
3 years ago
15

Chris

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

Answer:

meat = $2.40

vegetables = $ 2.40

fruit = $2.40 + X

= 2.40 ÷ 2

= 1.2

therefore 2.40 + 1.2

=$3.6 (For fruits )

= $3.6 + $2.40 + $2.40

= $ 8.4

Hope this helps .Plzz mark me brainliest

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Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos
crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c)  P(X = 2) is unusual, P(X = 0) is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

A number of sucesses x is considered unusually low if P(X \leq x) \leq 0.05 and unusually high if P(X \geq x) \geq 0.05

In this problem, we have that:

Two cans are randomly chosen, so n = 2

Two out of 18 cans are filled with diet coke, so \pi = \frac{2}{18} = 0.11

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

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

P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

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

P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that P(X = 2) is unusual, since P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

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

P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0
3 years ago
What is 3x + 4 = x + 8
xxMikexx [17]

Answer:

x is equal to 2

Step-by-step explanation:

2x+4=8

2x=4

x=2

4 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!
stiv31 [10]

Answer:

The Best answer choice is D

Step-by-step explanation:

This one is the best choice because it fits the shape the best. The other ones don't complete the shape but D does.

Hope that helps!

5 0
2 years ago
What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?
MAXImum [283]

Answer:

1

Step-by-step explanation:

6*2-24x+1=

12+1=24x

x+1= 24/12

x+1=2

x=2-1

x=1

4 0
3 years ago
10 binder; 60% off; 6% tax
laila [671]

Answer:

I'm going to assume that the binder is $10, and that the tax is applied after the 60% off, in which case the answer is $4.24

Step-by-step explanation:

10 * 10 = 100

6 * 10 = 60

10 - 6 = 4

6 / 25 = 0.24

4 + 0.24 = 4.24

Answer: $4.24

4 0
2 years ago
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