Answer:
(a) This is just `8` people being arranged in a row: `8! = 40,320` (b) Regard the `2` boys as one "unit" and so there are `7` "units" to arrange. This can be done `7! = 5040` ways. The boys can be arranged in `2! = 2` ways, so the required answer is `7! × 2! = 10,080` (c) There are only `2` possibilities: the boys are together or they are not.
Step-by-step explanation:
We know that the standard deviation is 5 and the mean is 73. So, 68 is one standard deviation from the mean (left of the mean). While, 78 is one standard deviation away from the mean in the other direction (right of the mean).
Using a standard normal distribution (bell curve).
34% fall between 68 and 73
34% fall between 73 and 78
Therefore, 34% + 35% = 68%.
68% of the students scored between 68 and 78, which means most of the class did average/poorly on the test.
Side note: what helped me when I was in statistics was planting my mean and scores on the bell curve. I'll add a picture on how to do it.
D= 3c-t
Hope this helps ;)
Answer:
8 kilos of it is gold, since 2/5 in decimal form is 0.40
12 kilos of it is copper.
Step-by-step explanation:
Multiply 20 times 0.40, you get 8, so 8 kilos of it is gold, while 12 kilos is copper.
T^T
We know that Angle Bisector Divides an Angle into Two Equal Angles.
As UP is the Angle Bisector of Angle U, It Divides Angle U into two Equal Parts they are Angle(1) and Angle(2)
⇒ Angle(1) = Angle(2)
Given Angle(1) = 5x + 10 and Angle(2) = 3x + 14
⇒ 5x + 10 = 3x + 14
⇒ 2x = 4
⇒ x = 2
⇒ Angle(1) = 5x + 10 = 5(2) + 10 = 10 + 10 = 20
So : Measure of Angle(1) is 20