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HACTEHA [7]
3 years ago
8

If c is the hypotenuse of a right triangle,find the missing side. If necessary, round to the nearest hundredth. c=sqrt(155), b=s

qrt(31),a=?
Mathematics
1 answer:
Lunna [17]3 years ago
6 0
A^2 + 31 = 155  - I squared each of b and c for those numbers
a^2 = 155 - 31
a^2 = 124
a = 4 * sqrt(31)
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Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, port
GrogVix [38]

Answer:

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

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 scores of a population, and for this case we know the distribution for X is given by:

X \sim N(49.5,15)  

Where \mu=49.5 and \sigma=15

We are interested in the bottom 10% of the data.

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.9   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-1.28

And if we solve for a we got

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

7 0
3 years ago
38+-72<br><br> Please help on this
AysviL [449]
38 + -72 = ?
? = -34

5 0
3 years ago
Read 2 more answers
Let A = {1,2,3,..., 8, 9, 10} B = {4, 7, 10}
Dovator [93]

The answers to the questions are

(i) B - A = Ф / null set

(ii) A - B = {1, 2, 3, 5, 6, 8, 9}

(iii) (A - B) ∩ (B - A) = Ф / null set

(iv)  (A - B) ∪ (B - A) = {1, 2, 3, 5, 6, 8, 9}

A set contains different elements which are mathematical objects of any kind such as numbers, points, spaces, lines e.t.c.

Different types of set are -singleton setsfinite and infinite setsempty or null sets equal sets unequal sets equivalent sets overlapping sets disjoint sets subsets super sets power sets universal sets

According to question,

i ] B - A = 0/null set

ii ] A - B = [ 1,2,3,5,6,8,9 ]

iii ]   (A-B) n (B-A) = 0/ null set

iv ]  (A-B) u ( B-A) = [ 1,2,3,5,6,8,9 ]

Hence, the answers to the questions are

(i) B - A = Ф / null set

(ii) A - B = {1, 2, 3, 5, 6, 8, 9}

(iii) (A - B) ∩ (B - A) = Ф / null set

(iv)  (A - B) ∪ (B - A) = {1, 2, 3, 5, 6, 8, 9}

To understand more about Set Theory refer - brainly.com/question/13458417#SPJ9

4 0
1 year ago
You're a 7th grade math teacher and you want to create an experiment for your class with red, yellow and purple marbles in the b
andreyandreev [35.5K]

630 red marbles

420 yellow marbles

210 purple marbles

because 1260 x 1/2 = 630, 1260 x 1/3 = 420, 1260 x 1/6 = 210

8 0
3 years ago
Please help me out please please !!!!!
Sauron [17]

The surface area of a sphere is given by

S = 4\pi r^2

We deduce

r = \sqrt{\dfrac{S}{4\pi}}

So, in your case, the radius is

r = \sqrt{\dfrac{100\pi}{4\pi}}=\sqrt{25}=5

The volume of a sphere is given by

V=\dfrac{4}{3}\pi r^3

So, we have

V = \dfrac{4}{3} \pi 5^3 = \dfrac{500}{3}\pi

5 0
3 years ago
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