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klasskru [66]
2 years ago
14

18. Use the spinner to find each theoretical probability

Mathematics
1 answer:
avanturin [10]2 years ago
4 0
A) P(even) = 4/8 = 1/2

b) P(>3) = 5/8

c) P(odd) = 4/8

Basically, numerator = what they ask, denominator = all possibilities. That usually works well in all prob exercises. Hope it helps

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The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t
WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

-1.475 = \frac{15.5 - \mu}{\sigma}

15.5 - \mu = -1.475\sigma

\mu = 15.5 + 1.475\sigma

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

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

1.28 = \frac{16.3 - \mu}{\sigma}

16.3 - \mu = 1.28\sigma

\mu = 16.3 – 1.28\sigma

From above

\mu = 15.5 + 1.475\sigma

So

15.5 + 1.475\sigma = 16.3 – 1.28\sigma

2.755\sigma = 0.8

\sigma = \frac{0.8}{2.755}

\sigma = 0.29

The mean is

\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0
2 years ago
NEED HELP ASAP PLS !!!It is stated that two quantities vary inversely if one changes by the inverse ratio of the second. So, wha
viktelen [127]

Answer:

If the first quantity doubles, the second is divided by two. If the first quantity triples, the second is divided by 3.

Step-by-step explanation:

It’s the second sentence in the online content site they gave.

7 0
3 years ago
Find the area enclosed by the curve y^2=x^2-x^4
yulyashka [42]

Answer: 4/3

Step-by-step explanation:

As you know this graph is a lemniscate

4\int\limits^1_0 {x\sqrt{1-x^{2} } \, dx =\frac{4}{3} =1.33$

4 0
3 years ago
There's 18 deer and 52 lions if 10 lions eat 17 deer how many deer are left
Mamont248 [21]

Answer:

1 deer

Step-by-step explanation:

18 deer minus 17 eaten leaves 1 deer

7 0
1 year ago
Read 2 more answers
Using the answers from z^4=16 determine the solutions of the equation (x+1)^4=16(x-1)^4​
Artemon [7]

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

4 0
3 years ago
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