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kvv77 [185]
2 years ago
8

Or

Mathematics
1 answer:
Neporo4naja [7]2 years ago
8 0

The probability that a single can will contain 11.6 ounces or less of soda is 0.2843

<h3>Probability that a can contains 11.6 ounces or less</h3>

The given parameters are:

x = 11.6

Mean = 12

Standard deviation = 0.7

Calculate the z value using:

z = \frac{x - \bar x}{\sigma}

This gives

z = \frac{11.6-12}{0.7}

z = -0.57

The probability is then calculated as:

P(x ≤ 11.6) = P(z ≤ -0.57)

Using the z table of probabilities, we have:

P(x ≤ 11.6) = 0.2843

<h3>Probability that a pack contains 11.6 ounces or less</h3>

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a pack contains 11.6 ounces or less is

P(6) = 0.2843^6

P(6) = 0.00053

<h3>Probability that a case contains 11.6 ounces or less</h3>

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a case contains 11.6 ounces or less is

P(36) = 0.2843^36

P(36) ≈ 0

<h3>Draw three normal distributions</h3>

See attachment for the normal distributions

<h3>The happening on the graph</h3>

The summary of the graph is that, as the sample size increases the probability decreases

Read more about probability at:

brainly.com/question/11234923

#SPJ1

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5c squared- d squared+3/2c - 4d...c= -1. d= -4​
riadik2000 [5.3K]

For this case we have the following expression:

5c ^ 2-d ^ 2 + \frac {3} {2} c-4d

We must find the value of the expression when:

c = -1\\d = -4

Substituting we have:

5 (-1) ^ 2 - (- 4) ^ 2 + \frac {3} {2} (- 1) -4 (-4) =\\5 (1) -16- \frac {3} {2} + 16 =\\5-16- \frac {3} {2} + 16 =\\-11- \frac {3} {2} + 16 =\\- \frac {25} {2} + 16 =\\\frac {-25 + 32} {2} =\\\frac {7} {2}

Finally, the value of the expression is:

\frac {7} {2}

ANswer:

\frac {7} {2}

5 0
3 years ago
Caroline is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 5 points. What wou
Leno4ka [110]

Answer:

30

40 - 5x

Step-by-step explanation:

Caroline is taking test worth 40 points that has 5 points per question.  If she got 2 questions wrong, she would have a score of `30.

2 × 5 = 10

40 - 10 = 30

If Caroline got x questions wrong, she would have a score of 40 - 5x.

5 0
3 years ago
I'LL GIVE BRAINLIEST HELP
sesenic [268]

Answer:

a. O = h - 40

b. 0, 4, 8, 12

Step-by-step explanation:

Let numver of overtime hours Jim workes for defined by O.

Standard working hours in a week for Jim = 40 Hours

If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.

⇒ O = h - 40

now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be

O = 40 - 40 = 0 Hours

O = 44 - 40 = 4 Hours

O = 48 - 40 = 8 Hours

O = 52 - 40 = 12 Hours respectively.

8 0
2 years ago
Sean has 1/5 of a cupcake and 1/5 of a large cake. Does the sum 1/5 + 1/5 make sense in this situation
svetlana [45]

Answer:

The size of the cupcake and the size of the cake differ, so when your saying 1/5 of the cupcake, 1/5 of a cupcake is not the same as 1/5 of the cake . Idk if this will help, but I gave you a suggestion!

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Please help if u know the answers quarter ends in two days !!!
MatroZZZ [7]

Answer:

5A) radius = 9 ft

5B) diameter = 18 ft

5C) fencing length = 56.52 ft

5D) 6.35 days

Step-by-step explanation:

Radius is given when it is 9 ft of rope (outside to center of circle)

Diameter is two times radius = 18.

Circumference(fence length) = 2 * 3.14 * 9 = 56.52.

Area circle = 3.14*(9*9) = 254.34. 254.34/40 = 6.35

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
3 years ago
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