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RUDIKE [14]
3 years ago
15

A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.

Mathematics
1 answer:
Drupady [299]3 years ago
6 0

Answer:

We calculate the squares of the two littlest sides and add them :

6

²

+

8

²

=

36

+

64

=

100

We now calculate the square of the biggest side :

10

²

=

100

They are equal, and thus, the triangle is a right triangle.

(  

A

B

²

+

B

C

²

=

A

C

²

=>  

A

B

C

is right in  

B

)

Step-by-step explanation:

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A report indicated that 37% of adults had received a bogus email intended to steal personal information. Suppose a random sample
fiasKO [112]

Answer:

5.05% probability that no more than 34% had received such an email.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 700, p = 0.37

\mu = E(X) = np = 700*0.37 = 259

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{700*0.37*0.63} = 12.77

In a random sample of 700 adults, what is the probability that no more than 34% had received such an email?

34% is 0.34*700 = 238

So this probability is the pvalue of Z when X = 238.

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

Z = \frac{238 - 259}{12.77}

Z = -1.64

Z = -1.64 has a pvalue of 0.0505

5.05% probability that no more than 34% had received such an email.

7 0
3 years ago
ASAP! I will give branilest!
Vilka [71]

Answer:

1 = No     2 = Yes      3 = 1.88

Step-by-step explanation:

8 0
3 years ago
I need help thank you
kogti [31]

1 9 , 2 114 I Hope it help this is correct

4 0
3 years ago
Read 2 more answers
Can someone help me solve this question !
Flura [38]

Answer:

m= 2/3

Step-by-step explanation:

up 2 right 3

y= 2/3x-2

8 0
2 years ago
Read 2 more answers
-30=5(x+1)−30=5(x+1) proszę szybką odpowiedź :)
den301095 [7]

Answer:

x = -7

Step-by-step explanation:

The given equation is :

-30=5(x+1)

We need to solve the equation.

Use associative property on RHS.

-30 = 5x+5

Subtract 5 from both the sides.

-30-5 = 5x+5-5

-35 = 5x

x = -7

Hence, the value of x is -7.

7 0
2 years ago
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