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3 years ago

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Mathematics

1 answer:

nata0808 [166]3 years ago

6 0

Answer:

2) The second option (the bag)

8) 36 desserts

9) HH, HT, TT, TH: 1/4

Step-by-step explanation:

O - Not certain, it is possible to choose a green marble

O - Certain, all the numbers in the bag are less than 100, so the one you choose must be less than 105

O - Not certain, the spinner will not always land on the 10th letter of the alphabet

O - Not certain, the sum of the number cubes will not always be 12, depending on the number you roll

Size: Small cup, Large cup, Regular cone, Waffle cone

Flavors: Vanilla, Cookies & Cream, Mint Chocolate

Toppings: Fudge, Sprinkles, Caramel sauce

With a small cup:

Small cup, Vanilla, Fudge

Small cup, Vanilla, Sprinkles

Small cup, Vanilla, Caramel sauce

Small cup, Cookies & Cream, Fudge

Small cup, Cookies & Cream, Sprinkles

Small cup, Cookies & Cream, Caramel sauce

Small cup, Mint chocolate, Fudge

Small cup, Mint chocolate, Sprinkles

Small cup, Mint chocolate, Caramel sauce

There are 9 options with a small cup

There are 4 possibilities for types of cups

Multiply

4 * 9

The question is asking what would the sample space be of flipping a coin 2 times. You will not always alternate (heads, tails, heads, tails) when flipping a coin. This means that all of the possibilities are HH, HT, TT, TH.

Chance of getting heads = 1/2

Chance of getting tails = 1/2

Chance of getting 2 heads (divide by 2) = 1/4

Chance of getting 2 tails = 1/4

HH, HT, TT, TH: 1/4

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Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

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Normal probability distribution

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In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 276, p = 0.06$

$\mu = E(X) = np = 276*0.06 = 16.56$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454$

What is the probability that the sample proportion will be less than 0.1

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$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{27.6 - 16.56}{3.9454}$

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