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3 years ago

Please help I don't understand

Mathematics

1 answer:

valina [46]3 years ago

6 0

17) The line that is John is closer to certain but not exactly on certain so I'd say it's "likely"

18) Using that same example as the one above, if 0 means impossible, then 1 means certain. I'd place your label for Sara at 1.

19) Let s = sides of the square. There are 4 sides and all sides are equal so we can set up the equation 4s = 64. Divide both sides by 4. s = 16. Now add 2 to this. 16 + 2 = 18. The length of each side of the original square was 18.

20) If the scale is 1 cm : 1 meter and the height of the model is 16 cm, then the actual plane must be 16 meters.

21) 2x and 100 are supplementary angles meaning together they must add up to 180.

2x + 100 = 180
2x = 180 - 100
2x = 80
Divide both sides by 2
x = 40

22) Assuming 3x is supposed to be the right angle, right angles are 90 degrees.

3x = 90
Divide by 3 on both sides
x = 30.

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Factorise the following 4(x-1)²-9 need solution

kumpel [21]

Answer:x= 5/2 x= -1/2

Step-by-step explanation:

4(x-1)2-9

4(x2-2x+1) - 9

4x2 - 8x + 4 - 9

4x2 - 8x - 5

4x2 +2x - 10x - 5

2x(2x+1) - 5(2x+1)

(2x-5)(2x+1)

therefore, x= 5/2 x= -1/2

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3 years ago

HELP ASAP Find the Difference. SHOW YOUR WORK 3x + 5 - (2x + 2)

REY [17]

Answer:

3x + 5 - (2x + 2)

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Step-by-step explanation:

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2 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.

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3 years ago

Please show work ela common core 6th grade 1 step equations

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hjlf

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2 years ago