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Sedbober [7]
3 years ago
12

Please help solve due soon!!

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

2. 7.2

3. (7,6)

4. (6,-7)

sorry but question no 1 i cant answer cause the pic is too blurry

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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
Can anyone guess what game i was playing by the looks of it
OLEGan [10]

Answer:

A VR car game and an iphone

Step-by-step explanation:

:)

7 0
3 years ago
5x^2=11x-2 quadratic equation
hjlf

Given data:

The given equation is 5x^2= -11x-2.

The given equation can be written as,

\begin{gathered} 5x^2=-11x-2 \\ 5x^2+11x+2=0^{} \\ 5x^2+10x+x+2^{} \\ 5x(x+2)+1(x+2)=0 \\ (5x+1)(x+2)=0 \\ x=-\frac{1}{5},\text{ x=-2} \end{gathered}

Thus, the values of x are x=-1/5, and x= -2.

4 0
1 year ago
24 = y + 19<br><br> y = ? ..
lyudmila [28]
24=y+19
-19=y
————
5=y
Y=5
5 0
3 years ago
Read 2 more answers
2 Determine whether the table represents a linear relationship. If so, state the slope of
yarga [219]

Answer:

  • Tables A and B represent linear relationship

-------------------------

<h3>Table A</h3>
  • x = 2, 3, 4, 5                  Difference is 1
  • y = 14, 21, 28, 35           Difference is 7
  • This is linear and the slope is 7

<h3>Table B</h3>
  • x = -2, -1, 0, 1                  Difference is 1
  • y = 10, 5, 0, -5                Difference is - 5
  • This is linear and the slope is - 5

<h3>Table C</h3>
  • x = 2, 3, 4, 5                  Difference is 1
  • y = 48, 72, 90, 114         Difference is inconsistent
  • This is not linear
6 0
1 year ago
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