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Pavel [41]
3 years ago
13

Two adjacent supplementary angles are

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

∠BPZ and ∠APZ

Step-by-step explanation:

These two angles share a common side and their non common side lies on a straight line.

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On the 1st of November 2015 there were 4200 trees planted in a wood
gayaneshka [121]

Answer:On 1st November 2016, only 3948 of these trees were still alive.

Step-by-step explanation:

Sorry if it’s wrong

5 0
2 years ago
Given a quadratic function, y=x2+bx+c what happens to the graph when "a" is positive? A.the parabola opens down, the vertex is t
Llana [10]

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D

Step-by-step explanation:

The parabola opens up. Which means the vertex is the minimum value.

6 0
3 years ago
There are 220 female students and 360 male students that are enrolled at west middle school. The number of teachers employed by
Nimfa-mama [501]
Adding 220 + 360 = 580 total students.
5% of 580
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29 teachers are employed
8 0
3 years ago
Look at the table showing different prices for oranges. 
MrMuchimi
2.25 for 6 would be 0.375 per one of them
1.30 for 4 would be 0.325 per one of them
0.97 for 2 would be 0.485 per one of them
5 0
2 years ago
Read 2 more answers
Suppose a research firm conducted a survey to determine the mean amount steady smokers spend on cigarettes during a week. A samp
shutvik [7]

Answer:

0.9910 = 99.10% probability that a sample of 170 steady smokers spend between $19 and $21

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 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 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.

Mean of 20, standard deviation of 5:

This means that \mu = 20, \sigma = 5

Sample of 170:

This means that n = 170, s = \frac{5}{\sqrt{170}}

What is the probability that a sample of 170 steady smokers spend between $19 and $21?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.

X = 21

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

By the Central Limit Theorem

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

Z = \frac{21 - 20}{\frac{5}{\sqrt{170}}}

Z = 2.61

Z = 2.61 has a p-value of 0.9955

X = 19

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

Z = \frac{19 - 20}{\frac{5}{\sqrt{170}}}

Z = -2.61

Z = -2.61 has a p-value of 0.0045

0.9955 - 0.0045 = 0.9910

0.9910 = 99.10% probability that a sample of 170 steady smokers spend between $19 and $21

3 0
3 years ago
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