Answer: 
Step-by-step explanation:
Given the following expresion provided in the exercise:
You can follow these steps in order to evaluate it when 
and 
:
1. You need to substitute and into the given expression:
2. Now you can solve the mutiplication:
3. Since 
, you get:
4. You must solve the division. Divide the numerator 16 by the denominator 4. Then:
5. And finally, you must solve the addition. So, you get this result:
So there are 8 pints in a us gallon, 2 drops of blue to make a pint of purple (2x8x50=800) and then 3 drops of red to make purple (3x8x50=1200) I think maybe I've missed a step but (800+1200=2000) so 2000 drops of red and blue combined to make 50 gallons of purple paint.
We use the z statistic:
z = (x – u) / s
But first let us calculate the standard deviation s,
sample x and mean u.
s = sqrt (n p q)
s = sqrt (112 * 0.77 * (1 – 0.77))
s = 4.45
x = 0.81 * 112 = 90.72
u = 0.77 * 112 = 86.24
So the z score is:
z = (90.72 – 86.24) / 4.45
z = 1.00
From the standard tables, the P value at z = 1.00 using
right tailed test is:
<span>P = 0.1587 = 15.87%</span>
Answer:
The time-mean speed of the minivans is of 105.8 seconds.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values in the data-set divided by the number of values.
Five minivans, times of: 98.0, 108.0, 113.0, 108.0, 102.0, in seconds.
Thus, the mean is:
The time-mean speed of the minivans is of 105.8 seconds.
Answer:
Joe reserves 5 more blocks.
Step-by-step explanation:
50-16=34.
34/8=4.25
You must round up 4.25 to 5 and 16 rooms equal 2 blocks.
