Answer:
1/8 ;
12 / 51
Step-by-step explanation:
To select any 5 numbers out of 40
Number of selection required / total numbers
Probability of winning = 5 /40 = 1/8
Total number of socks = 18
White, W = 8
Black, B = 6
Blue, C = 4
probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
P(B) * [(P(C) + P(W)]
Probability = required outcome / Total possible outcomes
P(B) = 6 / 18 = 1/3
Without replacement :
P(W or C) = 8/17 + 4/17 = 12/17
Hence,
1/3 * 12/17
= 12 / 51
Answer:
35.68°
Step-by-step explanation:
In the picture attached, the triangle is shown.
From sine definition:
sin(y) = opposite/hypotenuse
The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:
sin(y) = 7/12
y = arcsin(7/12)
y = 35.68°
Answer:
65
Step-by-step explanation:
128-63=65
Answer: Choice D
In two games, the team lost to the opponent by 1 goal.
========================================================
Explanation:
Negative scores indicate the team lost, and the absolute value of those values represent how much of a loss.
So a difference of -1 means the team lost by 1 point.
We have 2 dots over this value, so there are 2 occasions where the team lost to the opponent by 1 goal.
An example would be that say the team scored 3 goals and the opponent scored 4 goals. So we have a differential of 3-4 = -1. The order is important because we would <u>not</u> say 4-3 = 1.
Answer:
- Let p be the population at t be the number of years since 2011. Then,

- The projected population of the high school in 2015=1800
- In <u>2019</u> the population be 1600 students
Step-by-step explanation:
Given: The population at Bishop High School students in 2011 =2000
Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.
So, the function is a linear function.
Let p be the population at t be the number of years since 2011.
Then, 
So at t=0, p=2000
In year 2015, t=4, substitute t=4 in the above equation ,we get

Hence, the projected population of the high school in 2015=1800
Now, put p=1600 in the function , we get

Now, 2011+8=2019
Hence, in <u>2019</u> the population be 1600 students