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stepan [7]
3 years ago
8

What’s the answer for this question?

Mathematics
1 answer:
Sedbober [7]3 years ago
7 0

Answer:

The answer to you equation is 4

Step-by-step explanation:

Step 1: take the m and replace it 21 the multiply 21 and the numerator to get 21 over 3.

Step 2: divide 21 and 3 to get 7

Step 3: take the n and replace it with 12 then multiply 12 and 1 to get 12/2

Step 4: divide 12 and 2 to get 6

Step 5: then you do 7-1-2 which equals 4

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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.972 g and a standard deviation
zalisa [80]

Answer:

P( ¯ x < 0.929 g) = 0.1867

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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 0.972, \sigma = 0.289, n = 36, s = \frac{0.289}{\sqrt{6}} = 0.0482

Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting 36 cigarettes with a mean of 0.929 g or less. P( ¯ x < 0.929 g) =

This is the pvalue of Z when X = 0.929. So

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

By the Central Limit Theorem

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

Z = \frac{0.929 - 0.972}{0.0482}

Z = -0.89

Z = -0.89 has a pvalue of 0.1867. So

P( ¯ x < 0.929 g) = 0.1867

7 0
3 years ago
How many cubes would be in the tower that is 3 cubes y’all?
LenaWriter [7]

Answer:3

Step-by-step explanation:if it is 3 cubes tall that means it will be 3 cubes

5 0
3 years ago
Which restaurant has the greater rate of change?<br><br> A) Juice Jammers<br> B) Bob's Burgers
hodyreva [135]

Answer:

The answer is Juice Jammers

Step-by-step explanation:

To determine which has a greater rate of change calculate out the rate of change for Juice Jammers. In order to do so, we use the first two points in the table and the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (29.25 - 0)/(25 - 0)

m = 29.25/25

m = 1.17

This gives Juice Jammers a higher rate of change than Bob's Burgers

7 0
2 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
scoundrel [369]

Answer:

20

Step-by-step explanation:

7 0
2 years ago
A line with a slope of 3 passes through (2,5). Which choice is an equation of this line? Please help
jek_recluse [69]

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

y-y_1=m(x-x_1)

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

y-5=3(x-2)

Our answer is the top right :)

3 0
3 years ago
Read 2 more answers
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