You multiply 86 by 42.5 because each board is 42.5 and there are 86 boards.
Answer:
k<3.5
Step-by-step explanation:
Answer:
a. 2.28%
b. 30.85%
c. 628.16
d. 474.67
Step-by-step explanation:
For a given value x, the related z-score is computed as z = (x-500)/100.
a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)
b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)
c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552
d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653
The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
Let amount contributed by Willie be x
Let amount contributed by Bruno be y
Since Willie agreed to contribute $12,000 more than Bruno;
Therefore;
- x - y = 12000....…....... equation (1)
- x + y = 50,000...…....... equation (2)
By solving the system of equations simultaneously;
In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
Read more:
brainly.com/question/23612222
Answer:
He sold 1.95 kilograms of apples.
Step-by-step explanation:
First we find out what 3/4 of 7.8 is.
3/4 of 7.8 = 5.85
Next we subtract 7.8 by 5.85
7.8 - 5.85 = 1.95
So, the answer is 1.95
Hope this helps! :)
