Answer:
I believe the answer is 30.
Step-by-step explanation:
-
Answer:
AC = 8√3 AC = 7.65
A = 43.17° AB = 16.8
B = 46.83° B = 27°
Step-by-step explanation:
FIRST TRIANGLE
by using pythagorus theorem:
Hypo² = Base² + height²
19² = 13² + AC²
AC² = 19² - 13²
AC² = 192
AC = √192
AC = 8√3
sinФ =base/hypo
sin A = 13/19
A = sin^-1 (13/19)
A = 43.17°
43.17°+ B + 90° =180 (sum of angles of triangle)
B = 180° - 133.17°
= 46.83°
<h3>SECOND TRIANGLE</h3>
TanФ = base/height
Tan 63° = 15 / AC
1.96 = 15/AC
AC = 15/1.96
AC = 7.65
AB² = AC² + BC²
AB² = 7.65² + 15²
AB² = 283.5
AB = √283.5
AB = 16.8
tan B = AC /BC
tanФ = 7.65/15
tanФ = 0.51
Ф = tan^-1(0.51)
B = 27°
Answer:
28.26
Step-by-step explanation:
To find the area of a circle you take pi times the radius squared (
)
And to find the radius you divide the diameter by two.
Answer:
a) Therefore 92.64% of customers receive the service for half-price.
b) Therefore it would take 8.52 minutes
Step-by-step explanation:
Given that ime required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution with:
mean (μ) = 15 minutes
Standard deviation (σ) = 3.5 minutes
a) The z score is given by the equation:

Since the service will take no longer than 20 minutes,

Using the probability table to get the probability of the z score
percent of customers receive the service for half-price = P(X < 20) = P(z < 1.43) = 0.9236 = 92.64%
Therefore 92.64% of customers receive the service for half-price.
b) Since the probability is 3% = 0.03, this corresponds with a z score of -1.88
Therefore:



Therefore it would take 8.52 minutes