Answer: 0.6065
Step-by-step explanation:
Given : The machine's output is normally distributed with
Let x be the random variable that represents the output of machine .
z-score :
For x= 21 ounces
For x= 28 ounces
Using the standard normal distribution table , we have
The p-value :
Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065
Given that Jack biked for
hours with an average speed of
miles per hour.
The distance travelled by Jack is given by
Given that Jim travelled exactly
as far as Jack did, then the distance Jim travelled is given by
Therefore, the length of Jim's journey is 80 miles.
Well, first off, let's check how far is it on the map, from the library to his dorm,
so there are that many units, now, how many miles is that?
well, we know each map unit is 0.75 miles, so there are d * 0.75 miles then
Answer:
x=0.5
Step-by-step explanation:
32x+16=32
-16 -16
32x=16
÷32 ÷32
x=0.5 or x=1/2
Choice D
To factor a quadratic equation ax^2+bx+c, find two factors of a and write them in a column, one up, one down. Then find two factors of c and write them in a column. multiply the factors diagonally and add up the products to make b. if the products do not make b, switch the factors up down and try again till you have a match.
in this case,
-1 and 3 are the factors of -3, -5 and 1 are the factors of -15, -1 times 1 is 1, 3 times -5 is -15, -1 and -15 make a sum of -16. so you have (-1x-5)(3x+1)
take the negative sign out you have -(x+5)(3x+1)
I hope I've made myself clear.