Answer:
Step-by-step explanation:
<u>Given</u>
- Total 17 marbles
- 4 - blue marbles
- 6 - green marbles
- 2 - red marbles
- The rest - yellow marbles
<u>Probability of drawing red first:</u>
- P(red) = number of red / total number = 2/17
<u>Probability of drawing green second, without replacement:</u>
- P(green) = number of green / number left in the bag = 6/16 = 3/8
<u>Probability of red and green in order:</u>
- P = P(red)*P(green) = 2/17*3/8 = 3/68
The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.
<h3>The types of transformation.</h3>
In Mathematics, there are four (4) main types of transformation and these include the following:
- Dilation
- Rotation
- Reflection
- Translation
<h3>What is a translation?</h3>
In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.
In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:
Original function (x, y) → New function (x + 2, y + 5)
y = -1/3|x| → y = -1/3|x + 2| + 5
Read more on translation here: brainly.com/question/20720324
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Answer:
Step-by-step explanation:
Group Before After
Mean 80.27 78.27
SD 12.76 12.92
SEM 3.85 3.89
N 11 11
df = 10
standard error of difference = 0.798
The mean of Before minus After equals 2.00
Given a=0.01, |t(0.005, df=10)|=3.17 (check student t table)
So 99% CI is
2±t*s
--> 2±3.17*0.798
--> -0.5 < µd< 4.5
Answer:-0.5 < µd< 4.5
Money factor is an alternative way in solving leasing problems. money factor can be converted to annual percentage rate ( APR) and vice versa.
APR = 2400 x money factor
so money factor can be solve using
money factor = APR / 2400
money factor = 8% / 2400
money factor = 0.0033333
Answer:
120 ft²
Step-by-step explanation:
The formula to find the area of a triangle is :
Area = 
× base × height
Given that,
base ⇒ 30 ft
height ⇒ 8 ft
<u>Let us solve it now.</u>
Area = × base × height
Area = × 30 ft × 8 ft
Area = × 240 ft²
Area =<u> 120 ft²</u>
