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katovenus [111]
3 years ago
9

Type the next number in this sequence: 6,7,10,15, 22,

Mathematics
2 answers:
miv72 [106K]3 years ago
7 0

Answer:

31

Step-by-step explanation:

MaRussiya [10]3 years ago
6 0

Answer:

im guessing 6,7,10,15,22,23?

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Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distr
bazaltina [42]

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

Mean of 109.0 inches, and a standard deviation of 12 inches.

This means that \mu = 109, \sigma = 12

Sample of 25.

This means that n = 25, s = \frac{12}{\sqrt{25}} = 2.4

What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?

This is the p-value of Z when X = 112. So

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

By the Central Limit Theorem

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

Z = \frac{112 - 109}{2.4}

Z = 1.25

Z = 1.25 has a p-value of 0.8944.

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

7 0
3 years ago
I NEED HELPPPP<br> 2( 2.5 - | -6|) need the answer ASAPPPPP
Sloan [31]

The equivalent value of the expression is -7

<h3>Modulus of a function</h3>

The modulus of an expression of value is equal to the positive of such function or value.

Given the expression

2(2.5 - |-6|)

Since the value of -6 is a modulus, the expression will become;

2(2.5 - |-6|) = 2(2.5) - 2(6)

2(2.5 - |-6|) = 5 - 12

2(2.5 - |-6|) = -7

Hence the equivalent value of the expression is -7

Learn more on equation here: brainly.com/question/2972832

#SPJ1

4 0
1 year ago
An animal shelter has 36 kittens and 12 puppies available for adoption what is the ratio of puppies to kittens
gizmo_the_mogwai [7]
The ratio of kittens to puppies is 3:1, as 36 is 3 times 12, therefore there are 3 kittens to one puppy.
8 0
3 years ago
Read 2 more answers
An adult ticket to a museum costs 3$ more than a children’s ticket. When 200 adult tickets and 100 children tickets are sold, th
antiseptic1488 [7]

The cost of children’s ticket is $ 5

<h3><u>Solution:</u></h3>

Let "c" be the cost of one children ticket

Let "a" be the cost of one adult ticket

Given that adult ticket to a museum costs 3$ more than a children’s ticket

<em>Cost of one adult ticket = 3 + cost of one children ticket</em>

a = 3 + c  ------ eqn 1

<em><u>Given that 200 adult tickets and 100 children tickets are sold, the total revenue is $2100</u></em>

200 adult tickets x cost of one adult ticket + 100 children tickets x cost of one children ticket = 2100

200 \times a + 100 \times c = 2100

200a + 100c = 2100 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>

Substitute eqn 1 in eqn 2

200(3 + c) + 100c = 2100

600 + 200c + 100c = 2100

600 + 300c = 2100

300c = 1500

<h3>c = 5</h3>

Thus the cost of children’s ticket is $ 5

6 0
3 years ago
there are 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. if you pick 2 cubes at random with replacement. what is p
Nimfa-mama [501]
There are 4 reds out of 10 so the probability for a red would be 4/10 and for a yellow it would be 1/10. multiply them together to get 4/100 so your probability would be 1/25 or 0.04 or 4%
3 0
3 years ago
Read 2 more answers
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