Answer:
Step-by-step explanation:
Let p represent the number of pens Nick sold. Then the revenue is ...
0.10p +0.05(1000 -p) = 74.50
0.05p = 24.50 . . . . . . eliminate parentheses, subtract 50
p = 490 . . . . . . . . . . . . multiply by 20
The number of pencils sold is then ...
pencils = 1000 -490 = 510
Nick's Printing Press sold 490 pens and 510 pencils.
This is what I got I hope it can help you
Answer:
(-12, -1)
Step-by-step explanation:
(8, -1) => (-2/3x, f(-2/3x))
therefore
-2/3x = 8
x = 8 *-3/2
x = -12
f(-2/3x) = -1
therefore, the corresponding point is:
(-12,-1)
So product means multiplication
so
x times y =2/3
one is 3/5 so
x times 3/5=2/3
x times 3/5=x(3/5)=2/3
x(3/5)=2/3
multiply both sdies by 5/3 to clear fraction
x(15/15)=(2/3)(5/3)
x(1)=(2 times 5)/(3 times 3)
x=10/9
the other number is 10/9 or 1 and 1/9
Answer:
P(2.50 < Xbar < 2.66) = 0.046
Step-by-step explanation:
We are given that Population Mean, = 2.58 and Standard deviation, = 0.75
Also, a random sample (n) of 110 households is taken.
Let Xbar = sample mean household size
The z score probability distribution for sample mean is give by;
Z = ~ N(0,1)
So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)
P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar 2.50)
P(Xbar < 2.66) = P( < ) = P(Z < -1.68) = 1 - P(Z 1.68)
= 1 - 0.95352 = 0.04648
P(Xbar 2.50) = P( ) = P(Z -3.92) = 1 - P(Z < 3.92)
= 1 - 0.99996 = 0.00004
Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046