To evaluate the given probability we proceed as follows:
The z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
from the question:
mean=272, sig=15
but the sample is n=36, thus we shall have:
√σ/n
=15/√36
=2.5
thus the z-score will be as follows:
x=272
z=(272-272)/2.5=0
x=274
z=(274-272)/2.5==0.8
thus
P(272<x<274)
=P(z<0.8)-P(z<0)
=0.7881-0.5
=0.2881
Hence the answer is 0.2881
The answers 5.9 x 10^4 the exponent stays the same you just add the base numbers
Given:
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
To show:
That the triangle ABC is a right angled triangle.
Solution:
Distance formula:
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
Using the distance formula, we get
Similarly,
And,
Now, add the square of two smaller sides.
Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.
Hence proved.
Answer:
16 nickels
Step-by-step explanation:
I just divided 32 by 2 I don't know if its completely right though
We know that the average is
(192 + 214 + 250 + X)/4 = 225
then
X = 244
Don needs a score of 244 to obtain an average of 225
