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storchak [24]
3 years ago
15

What is the area of the composite firgures?

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0
I think the answer would have to be C if I am right
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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.895 g and a standard deviation
kvasek [131]

Answer:

3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 0.895, \sigma = 0.292, n = 37, s = \frac{0.292}{\sqrt{37}} = 0.048

Find the probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

This is the pvalue of Z when X = 0.809.

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

By the Central Limit Theorem

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

Z = \frac{0.809 - 0.895}{0.048}

Z = -1.79

Z = -1.79 has a pvalue of 0.0367

3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

5 0
3 years ago
3 tablespoons of pineapple juice. A can of
lisov135 [29]

Answer:

75 teaspoons!

Step-by-step explanation:

Due to the conversion, each fluid ounce= 6 teaspoons. Do 72 + 3, which equals 75. You get 72 by doing 12 fluid ounces by 6 teaspoons. <3 hope thi s helps, lovely !

3 0
3 years ago
Solve each equation. Check 19. x(x - 32)=0​
Readme [11.4K]

Answer:

x is equal to thirty-two.

Step-by-step explanation:

x(x - 32) = 0

x² - 32x = 0

x - 32 = 0

x = 32

4 0
3 years ago
Slope of 1,-7 and -3-4​
3241004551 [841]

\large \mathfrak{Solution : }

Slope of the given line is :

  • \dfrac{y_2 - y_1}{x_2 - x_1}

where ,

  • x_2 = 1

  • x_1 =  - 3

  • y_2 =  - 7

  • y_1 =   - 4

let's solve :

  • \dfrac{ - 7 - ( - 4)}{1 - ( - 3)}

  • \dfrac{ - 3}{4}

Slope = -3 / 4

4 0
2 years ago
Marta bought new fish for her home aquarium. She bought 3 guppies and 2 platies for a total of $13.95. Hank also bought guppies
ratelena [41]
Hank bought same guppies as Marta but 2more platies so
18.33-13.95=4.38
2platies=4.38
4.38/2=2.19
2.19 price of platies
13.95-4.34=9.61
9.61/3=3.20
3.29 price of guppies
3 0
3 years ago
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