Will 6,8, and 14 form a triangle

Mathematics

1 answer:

katrin [286]4 years ago

3 0

No, you can't form a triangle.
6+8=14 and you can't build a triangle.

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A die is rolled 30 timeswhat is the probability of getting x even number

Mama L [17]

Probability of getting an even number (2,4,6) out of (1,2,3,4,5,6) =3/6=1/2

The probability of getting x even number :
(using the binomial probability)

30Cx (1/2)^x . (1/2)^(30-x)

6 0

4 years ago

Which of the following is equivalent to Square root -63

asambeis [7]

Answer:

$3i \sqrt{7}$

Step-by-step explanation:

The imaginary unit is $i=\sqrt{-1}$ .

Now 63 itself is not a perfect square but 63 does contain a factor that is.

63=9×7 and 9 is a perfect square.

So $\sqrt{-63}=i \sqrt{63}$ .

$i \sqrt{63}=i \sqrt{9 \cdot 7}=i \sqrt{9} \sqrt{7}=i(3) \sqrt{7}=3i \sqrt{7}$

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4 years ago

How do I solve this?: The times of all 15 year olds who run a certain race are approximately normally distributed with a given m

Effectus [21]

We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)

The formula for z-score:
z = (X-μ) ÷ σ

Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2

Substitute these value into the formula

z-score = (14.4 - 18) ÷ 1..2 = -3

We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)

From the table
P(Z < -3) = 0.0013

The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%