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weeeeeb [17]
2 years ago
14

The vertex angle of an isoceles triangle is 8 times the measure of the base angle. find the measure of the base angle

Mathematics
1 answer:
Yuki888 [10]2 years ago
4 0
For this problem, if we used b to represent your base angle measurement, you would add 8b+2b and set it equal to 180. This is because the measure of the vertex angle is 8 times the base angle measurement, so we had to multiply b by 8. We also had to add it to the other angle measures, so the other angle measures are represented as 2b since they are the same length. We then have to set this equal to 180 since that measures of a triangle must add up to 180. Then we combine like terms on our “b” side to get 10b=180. Then we divide both sides by 10 and we get b=18, which is the measure of our base angle.
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What is the equation that you get when you put together the two<br> equations below?
yawa3891 [41]

Answer:

1st option

Step-by-step explanation:

Given the 2 equations

2x + 5y = 19 → (1)

y = 3x - 3 → (2)

Substitute y = 3x - 3 into (1)

2x + 5(3x - 3) = 19

5 0
2 years ago
What is the mode of this data set? 35,36,35,38,37,38,38,38,33,40,34,36,36,38,39,38,37,33,37,38,36,32,36,37,32
denpristay [2]

Answer:

38

Step-by-step explanation:

The most occuring number is the mode, which in this case is 38.

7 0
2 years ago
Read 2 more answers
The amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. t
zhuklara [117]

Answer:

a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.

b) By the Central Limit Theorem, approximately normal.

c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

The mean monthly fee is $142 and the standard deviation is $29.

This means that \mu = 142, \sigma = 29

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Sample of 1500(larger than 30).

By the Central Limit Theorem

The mean is $142

The standard deviation is s = \frac{29}{\sqrt{1500}} = 0.7488

Part b: what is the shape of the sampling distribution of x hat justify your answer.

By the Central Limit Theorem, approximately normal.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?

This is 1 subtracted by the pvalue of Z when X = 143. So

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

By the Central Limit Theorem

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

Z = \frac{143 - 142}{0.7488}

Z = 1.34

Z = 1.34 has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

4 0
3 years ago
A baker cut a pie in half. He cut each half into 3 equal pieces and piece into 2 equal slices. He sold 6 slices. What fraction o
prisoha [69]
He sold one half of the pie because if you do it in your head split one half into 3 and get one sixth, then that slit in two is 1 twelfth so if he sold six pieces and six is one half of twelve then you get one half.
7 0
3 years ago
Read 2 more answers
A certain control heating process requires that the temperature be raised from − 23 ∘ C at the rate of 4 ∘ C every hour . Find t
Harrizon [31]

Answer:

Temperature after 12 hours = 25°C

Step-by-step explanation:

Given:

Current tempreture = -23°C

Tempreture incresing rate = 4°C per hour

Total time = 12 hour

Find:

Temperature after 12 hours

Computation:

Temperature after 12 hours = Current tempreture + (Tempreture incresing rate)(Total time)

Temperature after 12 hours = -23 + (4)(12)

Temperature after 12 hours = -23 + 48

Temperature after 12 hours = 25°C

5 0
3 years ago
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