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3 years ago

Find the next number in the sequence.25, 36, 49, 64, ...

Mathematics

2 answers:

ra1l [238]3 years ago

6 0

Answer:

Step-by-step explanation:

25, 36, 49, 64, ...

36 - 25 = 11

49 - 36 = 13 = 11 + 2

64 - 49 = 15 = 13 + 2

64 + 15 + 2 = <em>81</em>

Vlad [161]3 years ago

4 0

25 to 36 is 11
36 to 49 is 13
49 to 64 is 15
The difference is it’s going up by 2 each time so ...
64 + 17 is 81
The next number is 81

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A bag contains three green Christmas ornaments and four gold ornaments. If you randomly pick two ornaments from the bag, at the

garri49 [273]

You have a 4/7 chance that both will be gold

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2 years ago

80% of 65 please help

Sonbull [250]

The answer is 52.

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2 years ago

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Kelly's teacher asked her to draw a triangle that doesn't have any lines of symmetry what type of triangle should Kelly draw an

romanna [79]

Answer:

Scalene type of triangle

Step-by-step explanation:

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3 years ago

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a stand

Art [367]

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

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.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

$\mu_G = 15$

$s_G = \frac{4.2}{\sqrt{35}} = 0.71$

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

$\mu_E = 13.4$

$s_E = \frac{3.7}{\sqrt{40}} = 0.585$

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

$\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6$

Standard deviation:

$s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92$

So the correct answer is given by option b.

8 0

3 years ago

The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

Pavel [41]

The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

two consecutive even integers: n, n+2

next two consecutive even integers n+4, n+6

n+(n+2) >= 7+1/2(n+4 +n+6)

combine like terms

2n+2 >= 7 +1/2(2n+10)

distribute 1/2

2n+2 >= 7+n+5

2n+2>= n+12

subtract n from each side

n+2>= 12

subtract 2 from each side

n>10

4 integers : 10, 12 ,14, 16

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3 years ago

Find the next number in the sequence.25​, 36​, 49​, 64​, ...

Find the next number in the sequence.25, 36, 49, 64, ...