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kolezko [41]
3 years ago
6

Which functions are symmetric with respect to the y-axis? Check all that apply.

Mathematics
1 answer:
lawyer [7]3 years ago
8 0
F)x) is shaped like a V with the vertex at the origin so its is one of the choices.

B is also one because its |x|  moved up 3 unuts
So is D.

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The average amount of water in randomly selected 16-ounce bottles of water is 16.15 ounces with a standard deviation of 0.45 oun
vekshin1

Answer:

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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 = 16.15, \sigma = 0.45, n = 35, s = \frac{0.45}{\sqrt{35}} = 0.0761

What is the probability that the mean of this sample is less than 15.99 ounces of water?

This is the pvalue of Z when X = 15.99. So

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

By the Central Limit Theorem

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

Z = \frac{15.99 - 16.15}{0.0761}

Z = -2.1

Z = -2.1 has a pvalue of 0.0179

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

3 0
2 years ago
99 POINTS
Alik [6]

Answer:

  -a^2 - a + 12

Step-by-step explanation:

You only need to find the products of the first and last terms to determine the correct answer:

  (-a)(a) = -a^2

  (3)(4) = 12

You're looking for an expression with -1 as the leading coefficient and +12 as the constant. There is only one choice like that:

  -a^2 - a + 12

6 0
3 years ago
Read 2 more answers
30 POINTS AND I'LL MARK BRAINLIEST IF ANSWERD ASAP! Upload your 500-word report including your article critiques answering the f
Vlad [161]

Is there an article or a text that you have to do this off of??

4 0
2 years ago
HELP PLEASE IM IN A TIMED TESTTTT !!!
mixas84 [53]

Answer:

Step-by-step explanation:

2. 9a +4c=43

a+c=7

The total tickets for adults and children = 7 (a+c =7)       7 people in all

price for adult = $9  (9a)   Price per child =$4 (4c)

total price =$ 43

  9a +7c = 43

3 0
2 years ago
In a survey of 1090 ​investors, it was determined that 690 invested in​ stocks, 575 in bonds and 300 in both stocks and bonds.
solniwko [45]

something is wrong with your question bc 690 plus 575 equals to 1265

4 0
2 years ago
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