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3 years ago

How do you write 98 2/3 as a decimal

Mathematics

2 answers:

Sati [7]3 years ago

8 0

It is about 98.6666 hope i helped

Arisa [49]3 years ago

5 0

98.666666666... This is a decimal that never ends

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The measure of an angle is 8 degrees less than three times the measure of the angle's supplement. Find the measure of the angle.

Liula [17]

Answer:

262

Step-by-step explanation:

3(90) - 8 = x

270-8 = x

262 = x

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3 years ago

Proof. Give: <1 and <2 are complementary, angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4. Prove: angl

dangina [55]

<1 and <2 are complementary : given
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3 years ago

If y varies directly with x and y = 3 when x =12, then what is the value of y when x =40?

3241004551 [841]

Its c 10 and other fillar so i can answer

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4 years ago

Read 2 more answers

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviat

Mnenie [13.5K]

Answer:

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

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 normal distributions can be 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 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.

35 gas ovens

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:

$\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71$

40 electric ovens.

The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.

$\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585$

Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?

By the Central Limit Theorem, the 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.

3 0

3 years ago

What is the measure of the missing angle in the triangle I ready

Westkost [7]

I don't know how to answer this because i don't know the other numbers. But I can tell you to find a missing angle all the angles must add up to 180. So just add the other numbers and subtract the answer from 180 then you should get an answer.

3 0

3 years ago