The expression to find the value of the final angle of the triangle will be 180° - 40° - α.
<h3>How to solve the triangle?</h3>
Your information is incomplete as the triangle isn't attached. Therefore, an overview will be given.
Firstly, it's important to know that the total angle in a triangle is 180°. A triangle has three sides. In this case, angle B is given as α.
Let's assume that another angle is given as 40°. Therefore, the expression to find the value of the final angle will be 180° - 40° - α
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Answer:
the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
Step-by-step explanation:
From the five randomly selected students ; 160, 175, 163, 149, 153
mean average of the students = 160+175+163+149+153/5
= mean = x-bar = 800/5
mean x-bar = 160
from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]
P( Z>2.34) = from normal Z-distribution table
= 0.0096419
= 0.0096
hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
where SD = standard deviation = 3.94 and Miu = 150.8
Answer:

Step-by-step explanation:
The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:

Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.
Therefore, the function P(t) that models the population in Madison t years from now is:
Answer:
B. 1 1/3
Step-by-step explanation:


three can go into 4 once, so we have a whole number of 1 and a leftover 1/3.
=
hope this helps :)
To solve this, we have to find the volume of the cylinder first. The formula to be used is

Given:V= ?r= 6cmh= 10cm
Solution:

V= (3.14)(6cm)

x 10cmV= (3.14)(

) x 10cmV= (

) x 10cmV= 1130.4cm^3
Finding the volume of the cylinder, we can now solve what the weight of the oil is. Using the formula of density, Density = mass/volume, we can derive a formula to get the weight.
Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3
Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm
The weight of the oil is 968.75 gm.