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sergij07 [2.7K]
3 years ago
6

What is the measure of ZA?

Mathematics
1 answer:
ehidna [41]3 years ago
8 0
B. 60°
This is an equilateral triangle, so all angles should be equal. 180/3=60, so you’re answer is 60.
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Read 2 more answers
What would happen if the air outside the hot air balloon were as hot as the air inside?¯\_(ツ)_/¯
baherus [9]

Answer:

no change

Step-by-step explanation:

The system would be at equilibrium meaning there would be no change

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2 years ago
Consider a parent population with mean 75 and a standard deviation 7. The population doesn’t appear to have extreme skewness or
Aleks04 [339]

Answer:

a) \bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)

b) Since the sample size is large enough n>30 and the original distribution for the random variable X  doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

c) P(\bar X \leq 77)=P(Z

d) See figure attached

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable of interest. We know from the problem that the distribution for the random variable X is given by:

E(X) = 75

sd(X) = 7

We take a sample of n=40 . That represent the sample size

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is also normal and is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)

Part b

Since the sample size is large enough n>30 and the original distribution for the random variable X  doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

Part c

In order to answer this question we can use the z score in order to find the probabilities, the formula given by:

z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}

And we want to find this probability:

P(\bar X \leq 77)=P(Z

We can us the following excel code: "=NORM.DIST(1.807,0,1,TRUE)"

Part d

See the figure attached.

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2 years ago
Evaluate the summation below.<br> ) (-1 + 6d)<br> d=2
weqwewe [10]

Answer:

− 1 + 6 d , d = 2

Step-by-step explanation:

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2 years ago
A person is looking from a car to the top of a building. The angle of elevation to the top of the building from the car
MrRa [10]

Answer:124.29ft (approximately 125ft)

Step-by-step explanation:

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