Answer:
-45
Step-by-step explanation:
-50 + 2a represents the sum of the constant -50 and twice the value of the variable a.
If a = 2.5, then -50 + 2a has the value -50 + 2(2.5) = - 50 + 5 = -45.
Answer:
p(F)=0.73
Step-by-step explanation:
we have by identity

Thus for given events E and F
we have
Applying values we get

Thus
p(F) = 0.82+0.09-0.18
p(F) = 0.73
So what does 8 go into 56 and 56 must go into 105 and the answer that you got in 8 goes into 56 should be the same answer as you got 56 to go in 105
Answer:
From the given information, the value of a is 3 and the measurement of ∠R is 25°
Step-by-step explanation:
For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.
<em>ΔJKL ≅ ΔPQR</em>
This means that all of the angles and all of the sides of each triangle are going to be equal to each other.
So, knowing this, let;s find the measurement of ∠R first.
All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.
65 + 90 + m∠R = 180
Add 65 to 90.
155 + m∠R = 180
Subtract 155 from 180.
m∠R = 25°
So, the measurement of ∠R is 25°.
Now let's find the value of a.
KL is equal to PQ so we will set up an equation where they are equal to each other.
7a - 10 = 11
Add 10 to 11.
7a = 21
Divide 7 by 21.
a = 3
So, the value of a is 3.
a. The experimental unit:
The experimental units would be the lawyers that participate in this experiment. The experimental units are the subjects upon which the experiment is performed.
b. The response variable:
The response variable would be income. This is the variable that measures the response or outcome of the study.
c. The factors:
The factors are the variables whose levels are manipulated by the researcher. In this case, these would be the Mach score, classification and gender.
d. The levels of each factor:
The levels would include the levels of the Mach score (high, moderate, low) and the levels of gender (male, female).
e. The treatments:
The treatments are all the possible combinations of one level of each factor. Therefore, these are: High and male, high and female, moderate and men, moderate and female, low and male, low and female.