Substitute the given into the function
f(-4) = |7(-4) - 3|
now solve
f(-4) = |-28 - 3|
f(-4) = | -31|
the absolute value of |-31| is 31
so,
f(-4) = 31
Hope this helps :)
15 is 3 times 5. The point (5, 0) is dilated to the point (15, 0) by using a factor of
K = 3.
20 hope this helped <333333333333333333333
So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:
z = x - mean/s.d.
where x is our I.Q. we are looking for
So we plug in our numbers and we get:
126-100/15 = 1.73333
Next we look at our z-score table for our P-value and I got 0.9582
Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get
1 - 0.9582 = 0.0418
Since they are asking for the probability, we multiply our P-value by 100, and we get
0.0418 * 100 = 4.18%
And our answer is
4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!
Answer:
m∠A = 91°
Step-by-step explanation:
∠A ≅ ∠B (Vertical Angle Theorem). This means that the two angles will have the same measurements.
Note that a straight line = 180° (Definition of a Straight Line).
Find the value of m∠B.
180 - 47 - 42 = m∠B
m∠B = 180 - (89)
m∠B = 91°
Remember that ∠B & ∠A are vertical angles, so they will have the same measurement.
m∠A = 91°
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