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QveST [7]
3 years ago
7

The length of the hypotenuse of a right triangle is three times the length of the shorter leg. The length of the longer leg is 1

2. What is the length of the shorter leg. Question 12 options: 2√3, √14.4, 6√2, 3√2
Mathematics
2 answers:
k0ka [10]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Say the short leg is x and the hypotenuse is y. Then, y = 3x (because "The length of the hypotenuse of a right triangle is three times the length of the shorter leg.")

Use the Pythagorean Theorem: a^2 + b^2 = c^2 (where a and b are the legs and c is the hypotenuse). Here, we can say a = x and b = 12 and c = y. So:

x^2 + 12^2 = y^2

x^2 + 144 = (3x)^2

x^2 + 144 = 9x^2

8x^2 = 144

x^2 = 18

x = \sqrt{18} =3\sqrt{2}

The answer is D.

Hope this helps!

mote1985 [20]3 years ago
5 0

Answer:

Last one: 3√2

Step-by-step explanation:

Let the shorter length be S

Then,

The hypotenuse would be: 3S

Using pythagoras theorem,

(3S)² = S² + 12²

9S² = S² + 144

8S² = 144

S² = 18

S = sqrt(18)

S = 3sqrt(2)

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In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p
hichkok12 [17]

Answer:

The probability of success for this case would be:

p =\frac{9}{15}= 0.6 representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.6)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X=3)

And uing the probability mass function we got:

P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

The probability of success for this case would be:

p =\frac{9}{15}= 0.6 representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.6)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X=3)

And uing the probability mass function we got:

P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165

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False. Because it is the answer.

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To write 25/4 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 25 by 4 what we write down as 25/4 and we get 6.25
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25/4 as a decimal equals <span>6.25</span>
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3 years ago
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2 years ago
-2.3(4.5-3 1/2)<br> What is the answer
LUCKY_DIMON [66]

The computation shows that the value of the expression is 2.3.

<h3>How to illustrate the information?</h3>

It should be noted that the information given is illustrated as:

2.3(4.5-3 1/2)

This will be solved thus:

2.3(4.5-3 1/2)

2.3 ( 4.5 - 3.5)

= 2.3 (1)

= 2.3 × 1

= 2.3

Therefore, the value is 2.3

Learn more about computations on:

brainly.com/question/4658834

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