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PSYCHO15rus [73]
3 years ago
11

Please help me please

Mathematics
1 answer:
anastassius [24]3 years ago
5 0

Answer:

SAS similarity theorem

Step-by-step explanation:

Both the triangles are similar by SAS similarity theorem.

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The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A
Aloiza [94]

Answer:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

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

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

\mu=37 and \sigma=28  and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

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".

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

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

And we want to find this probability:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

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

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

4 0
3 years ago
Write each of the following expressions without using the absolute value sign. |x−4| if x&gt;4. PLEASE INCLUDE EXPLANATION!!!
kotykmax [81]
The answer is 3.141529

<span>I'm right.</span>
3 0
3 years ago
Mrs O’maley ran 2 2/3 miles today.she plans to run the same distance every day this week. How many total miles wil she run this
natulia [17]
Okay, so we multiply..

And we know that a week = 7 days..

So..

2 * 2/3 * 7 = ???

We change the 2 into 2/1
THEN we multiply..

2/1 * 2/3 = 4/3

Then we change the 7 into 1/7.. ( Which is still a whole )

Then multiply again..

4/3 * 1/7 = 4/21

You can correct me if I'm wrong...
I hope this helps you!
7 0
3 years ago
Help me I’m lost .-.
Anna11 [10]

Answer:

z=100

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

180-80=100

8 0
3 years ago
Read 2 more answers
Nia made some warm salt water help her her sore throat. She mixed 1 teaspoon salt with 3 cups water. Nia’s mom wanted to make mo
vaieri [72.5K]

Answer:

5/3 teaspoons (if you don't want an improper fraction, it's 1 2/3 teaspoons)

Step-by-step explanation:

If she uses 1 tsp for 3 cups, then the amount needed for one cup is 1/3 tsp.

Since the mother is using 5 cups, just multiply 1/3 by 5, which equals 5/3.

8 0
3 years ago
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