8 hours. 234 divided by 18 = 13, she makes $13 an hour. So $104 divided by $13 an hour would be 8.
The value of Z would be 225°
<h3>What is the angle at a point?</h3>
The angle at a point are angles that add up to 360°
Thus, X + Y + Z = 360°
X = 20°
Y = 135°
Then, Z = 360° - X - Y
Z = 360° - 20° + 135°
Z = 360° - 155°
Z = 205°
Therefore, the value of Z is 205°
Learn more about angle at a point here:
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Answer:
5, 25, 109
Step-by-step explanation:
5, 25, 109, 2725 divided by 5, 5, 109, gives no remainder. They are integers and prime numbers of 2725, they are also called composite number.
So we have
y=-2x-6
y=x+9
elimination
multiply second by e
2y=2x+18
just add them
y=-2x-6
<u>2y=2x+18 +
</u>3y=0x+12
3y=12
divide by 3
y=4
subsitue
4=x+9
subtract 9
-5=x
x=-5
y=4
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Answer: the probability that no sections receive a hard test is 0.1022
Step-by-step explanation:
Given that;
total number of exams = 20
hard exams = 8
reasonable = 7
easy exam = 5
so total exams that are bot hard = 7 + 5 = 12
we will make use of the probability mass function of hyper geometric distribution;
so the probability that no section of the received a hard test can be determined as follows;
P( x=0; N=20, n=4, k=8 ) = [ ⁸C₀ × ²⁰⁻⁸C₄₋₀ ] / ²⁰C₄
= [1 × ¹²C₄ ] / ²⁰C₄
= [1 × (12!/(4!×(12-4)!) ] / (20!/(4!×(20-4)!)
= [1 × 495 ] / 4845
= 495 / 4845
= 0.1022
Therefore the probability that no sections receive a hard test is 0.1022