The construction that you can use to prove the Pythagorean
Theorem based on similarity of triangles is 2nd construction. Please see the
attached file.
To add, in mathematics, the Pythagorean theorem, also
known as Pythagoras's theorem, is a fundamental relation in Euclidean
geometry among the three sides of a right triangle. It mentions that the sum of
the squares of the other two sides is equal to the square of the hypotenuse
(the side opposite the right angle).
He can send 600 messages.
40+0.05x=70
-40+0.05x=70-40
0.05x=30
So divide 30 by 0.05
and you get 600.
Answer:
True
Step-by-step explanation:
Answer:
Probability that their mean credit card balance is less than $2500 is 0.0073.
Step-by-step explanation:
We are given that a bank auditor claims that credit card balances are normally distributed, with a mean of $3570 and a standard deviation of $980.
You randomly select 5 credit card holders.
Let<em> </em>
<em> = </em><u><em>sample mean credit card balance</em></u>
The z score probability distribution for sample mean is given by;
Z =
~ N(0,1)
where,
= population mean credit card balance = $3570
= standard deviation = $980
n = sample of credit card holders = 5
Now, the probability that their mean credit card balance is less than $2500 is given by = P(
<em> </em>< $2500)
P(
<em> </em>< $2500) = P(
<
) = P(Z < -2.44) = 1 - P(Z
2.44)
= 1 - 0.9927 = 0.0073
The above probability is calculated by looking at the value of x = 2.44 in the z table which has an area of 0.9927.
Therefore, probability that their mean credit card balance is less than $2500 is 0.0073.
Answer:
x= 8
Step-by-step explanation:
Half of a circle or a straight line is equal an angle of 180 degrees. Therefore, both the measurements of angles RPS and QPR are equal to 180 degrees.
3x + 12 + 7x + 88 = 180
Add like terms
10x + 100 = 180
-100. -100
10x = 80
/10. /10
x = 8