Answer:
m<PTR = 140°
Step-by-step explanation:
First, find the value of x. To find the value of x, derive an equation which you'd use in solving for x.
m<PTQ = (x + 28)°
m<RTS = (2x + 16)°
m<PTQ = m<RTS (vertical opposite angles are congruent)
Therefore:
x + 28 = 2x + 16
Solve for x. Combine like terms
28 - 16 = 2x - x
12 = x
x = 12
Find m<PTQ
m<PTQ = (x + 28)
plug in the value of x
m<PTQ = 12 + 28 = 40°
m<PTR + m<PTQ = 180° (supplementary angles)
m<PTR + 40° = 180° (substitution)
m<PTR = 180 - 40 (subtracting 40 from each side)
m<PTR = 140°
Answer:
C
Step-by-step explanation:
Area = π
r means radius
radius = d/2
d = diameter
8 /2 = 4
4 is radius
= 16
^ ( its 4 x 4 ) ^
so then,
Area = 16π
Answer:
Probability that the cost will be less than $500 is 0.95994 .
Step-by-step explanation:
We are given that Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $348 with a standard deviation of $87.
Let X = cost of a hospital emergency room visit for this medical service
So, X ~ N(
)
The standard normal z score distribution is given by;
Z =
~ N(0,1)
(a) Probability that the cost will be less than $500 = P(X < $500)
P(X < 500) = P(
<
) = P(Z < 1.75) = 0.95994 {from z table}
Therefore, the probability that the cost will be less than $500 is 0.95994 .
<u>Answer:</u>
#1. -1
#2. 7
#3. 6
#4. 6.6
<u>Step-by-step explanation:</u>
Hopefully this helped, if not HMU and I will get you a better answer
<em>-Have a great day! :)</em>
<em />