Answer:
The probability that a manufactured ball will be rejected is 0.99, to two decimal places.
Step-by-step explanation:
The mean weight is 16 Ibs. The standard deviation of the weights of all manufactured balls from the mean weight is 25. The distribution is normal. With a standard deviation this large, it is already obvious that there is a high probability of producing or having rejected balls. The weights of the balls produced here ranges from (16-25)Ibs to (16+25)Ibs.
That's -9Ibs to 41Ibs.
The minimum permissible weight is 15.68. Any ball with a lesser weight gets kicked out!
So the distance or difference between this figure and the mean is (16-15.68) = 0.32
So the probability of obtaining less than 15.68Ibs or the probability of having balls between the lower boundary of -9Ibs and 15.68 is:
25-0.32 = 24.68
24.68 ÷ 25 = 0.9872 ~ 0.99 to two decimal places.
8 and 1/2 would be probably the answer
Answer:
x = 3
Step-by-step explanation:
We can tell the two pictured angles are equal because they have the red lines showing they are equal. Because of this we can set up the following equation and solve
(for your info, all numbers without x in the steps have °, but for the sake of time left them out)
<em>(equation)</em> 2x + 5 = 7x - 10
<em>(subtracting 2x from both sides & adding 10 to both sides)</em> 15 = 5x
<em>(dividing both sides by 5) </em>3 = x
Hope this helps, have a nice day :D
They won 15 and each got 5 points so 15 x 5 = 75 points
They drew 3 and each got 1 point so 3 x 1 = 3 points
They lost 3 matches and each got -2 so 3 x -2 = -6
Altogether they got 72 points as 75+3-6=72
However they started on -14 so 72-14 equals 58 therefore at the end of the season they had 58 points
Hope this helps !
Answer: on the number line put -1.50 (1 and a half (1 1/2))
Step-by-step explanation:
$1.50 more than his account is $200.
the balance should be $-1.50
on the number line put -1.50