Answer:
4-4=0
16-6-10=0
17-3-4-10=0
1-2+1=0
Step-by-step explanation:
Answer:
0.68269
Step-by-step explanation:
When we are to find the z score for population where a random sample is picked, the z.score formula we use is
z = (x-μ)/Standard error, where
x is the raw score,
μ is the population mean
Standard error = σ/√n
σ is the population standard deviation
n = random number of samples
For : x = 38 minutes, μ = 40, σ = 10, n = 5
z = 38 - 40/10 /√25
= -2/10/5
= -2/2
= -1
Determining the probability value using z table
P(x = 38) = P(z = -1)
= 0.15866
For : x = 42 minutes, μ = 40, σ = 10, n = 25
z = 42 - 40/10 /√25
= 2/10/5
= 2/2
= 1
Determining the probability value using z table
P(x = 42) = P(z = 1)
= 0.84134
The probability that their average waiting time will be between 38 and 42 minutes is calculated as
P(-Z<x<Z)
= P(-1 < x < 1)
= P(z = 1) - P(z = -1)
= 0.84134 - 0.15866
= 0.68269
Therefore, the probability that their average waiting time will be between 38 and 42 minutes is 0.68269
You are given that PS ≅ RS as indicated by the single has mark.
You are given that ∠PST ≅ ∠RST as indicated by the single arc.
You know the segment ST is congruent to itself by the reflexive property.
That is, you have two congruent sides and the angle between them, so you can claim the triangles are congruent by the SAS postulate.
Selection C is appropriate.
Answer:
( -1, 1 )
Step-by-step explanation:
For f ( x ) = tan x ; Range = R (real no.)
Range in interval = ( -1, 1 )
Answer:
radius = 13
Step-by-step explanation:
Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.
First let's find the shorter leg.
<u>Equidistant Chords Theorem</u>
Two chords are congruent if they are equidistant from the center.
Chords in the picture are congruent and that means that the distance from the center to each of them is the same!
Let's calculate the distance. But to get the distance we have to find x first.
Since the distances are the same:
Therefore:
Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.
Therefore:
All that is left is the Pythagorean Theorem in the right triangle.
<u>Pythagorean Theorem</u>
Hypotenuse in our case is the radius.
