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natka813 [3]
3 years ago
7

Consider the graph shown.

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Answer:

The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.

Step-by-step explanation:

✔️The value of f(x) is -2 also means y = -2.

So, looking at the graph, the corresponding value of x when y = -2 is x = 0.

✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.

From the graph, at x = -2, the corresponding y-value is -5.

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3. Patricia buys a round dining room table. If the radius of the table is 3 feet, what is the area she has
Jlenok [28]

Answer:

28 square feet

Step-by-step explanation:

Area = \pi r^{2}

Area = \pi×(3×3)

Area = 28.2743

6 0
3 years ago
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
Here is my statement about the luxury destinations
Hunter-Best [27]
Jhhhchbuhgv Gunn hub ghhhb
7 0
3 years ago
How do you write 0.4335 as a fraction
kogti [31]
0.4335/1 x 10000/10000
=4335/10000
=867/2000
3 0
3 years ago
Read 2 more answers
Solve. 3(x+1)-2x=-6
RideAnS [48]
D.)  x = - 9


C.) x = 0

Hope that helps, Good luck! (:



4 0
3 years ago
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