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irinina [24]
3 years ago
6

There are 55 M&Ms in the holiday pack and they are all green or red. There are 20 green M&Ms and the rest are red. What

is the ratio of red M&Ms to total M&Ms?
Mathematics
1 answer:
Ugo [173]3 years ago
8 0

Answer:

35 : 55

Step-by-step explanation:

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Construct a 99​% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s
vivado [14]

Using the z-distribution, the 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The estimate and the sample size are given by:

\pi = 0.36, n = 100.

Then the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836

The 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
How to factor by grouping
Ostrovityanka [42]
Step1: group the first two terms together 
next step 2:factor out a GFC from each separate binomical
next step 3: factor out the common binomial
6 0
3 years ago
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David brought a variety pack of delicious donuts for his daughters Amy &amp; Anna. Amy ate 2/3 of the pack and Anna devoured 1/4
Naya [18.7K]

Answer:

12

Step-by-step explanation:

Let the total number of donuts in the pack be x.

Amy = 2/3x

Anna = 1/4x

David = 1

x - 2/3x - 1/4x = 1

Find common denominators for 2/3 and 1/4

The common denominator is 12

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

x - 8/12x - 3/12x = 1

x - 11/12x = 1

1/12x = 1

x = 12

You can always check

Amy = 8

Anna = 3

So David must equal to 1

Hope this helps :)

Have an awesome day!

6 0
2 years ago
A box contains 8 red marbles, nine blue marbles and 11 yellow marbles. what is the probability that a marble chosen randomly fro
NemiM [27]

Answer:

9/28

Step-by-step explanation: you put the amout of blue marbles over the total marbels

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I need help what is this solution
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X/6 is simplest expression
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