Total boys = 10 + 7 +10 + 9 = 36
Probability of picking a senior = 9/36 , reduces to 1/4
Total girls = 8 + 11 + 9 + 7 = 35
Probability of picking a senior = 7/35, reduces to 1/5
Probability of picking both multiply the probability of each by each other:
= 1/4 x 1/5 = 1/20
Answer is D.
Answer: See explanation
Step-by-step explanation:
7.) (0, 2)
Slope of (0, 2) and (-10, -16) = 2 - (-16) ÷ 0 (-10) = 18/10 = 9/5
8.) a. Slope of (17, -12) and (17, 8)
8 - (-12) ÷ 17 - 17 = 20 ÷ 0 = undefined
b. Slope of (6, -2) and (-3, 1)
1 - (-2) ÷ -3 - 6 = 3/-9 = -1/3
9.) (-3, 33) and (4, -9)
-9 - 33 ÷ 4 - (-3) = -42/ 7 = -6
10.) Hourly: c = 75h + 15
c - charge
h - hours
1 hour
c = 75 (1) + 15
c = 75 + 15 = 90
The hourly charge for services is $90.
11.) C. A newborn weighs 8 pounds and gains 1.5 pounds each month for the next 3 months.
Answer:
<em>From left to right: 54 deg, 51 deg, 47 deg</em>
Step-by-step explanation:
From the bottom right triangle:
105 + 28 + x = 180
x + 133 = 180
x = 47
The lower right triangle has angles measuring 28, 105 and 47.
The lower unknown angle of the upper right triangle is vertical to the 47 deg angle, so it also measures 47 deg.
Now we calculate the upper unknown angle of the upper triangle.
82 + 47 + y = 180
y + 129 = 180
y = 51
One angle forms a linear pair with the 105-deg angle. It measures
180 - 105 = 75.
The large left triangle has angles 75 deg, 51 deg, and the unkown angle at the left.
z + 51 + 75 = 180
z + 126 = 180
z = 54
-5/2x + b = y
Check photo for explanation :)
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Answer: Angle 3
Step-by-step explanation: