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Fudgin [204]
3 years ago
7

Ajar contains 12 caramels, 7 mints and 16

Mathematics
1 answer:
tangare [24]3 years ago
7 0

Answer: 1/5

Step-by-step explanation: To find the probability of selecting a mint out of the jar, we use our ratio for the probability of an event which is shown below.

(P) event = <em>number of favorable outcomes/total number of outcomes</em>.

Since there are 7 mints in the jar, the number of favorable outcomes is 4 and since there are 35 candies in all,

the total number of outcomes is 35.

Therefore, the probability of selecting a mint is 7/35.

Notice however that 7/35 is not in lowest terms so we need to divide the numerator and denominator of 7/35 by their greatest common factor of 7 to get 1/5.

So our final answer for the probability of selecting a mint is 1/5.

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In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the population stand
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Answer: =(29.1596\text{ degrees},\ 30.2404\text{ degrees})

Step-by-step explanation:

Given: Sample size: n = 41

Sample mean \overline{x}= 29.7 degrees

Population standard deviation \sigma=2.7 degrees

Confidence level (c) =  80% =0.80

Significance level (a) = 1- c = 1-0.80 = 0.20

z-score for 80% confidence level : z = 1.2816   [from z-table]

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=29.7\pm ( 1.2816)\dfrac{2.7}{6.403124}

=29.7\pm ( 1.2816)(0.42167)

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=(29.7-0.5404,\ 29.7+0.5404)

=(29.1596,\ 30.2404)

Hence, 80% confidence interval for the temperatures in the freezer =(29.1596\text{ degrees},\ 30.2404\text{ degrees})

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