Answer:
a(2) b(-3) c(3) d (-2)
Step-by-step explanation:
first one remember that when u ÷ two negatives it becomes positive
second one try to invert and then multiply the fractions
third one try to invert and then multiply the fractions
fourth one remember that if you ÷ by one negative the product will be negative
Answer:
0
Step-by-step explanation:
Numbers on balls:
1, 4, 7, 7, 8
Try to find the sum of all numbers:
1+4+7+7+8 = 27
According to the rule of 3, any number is dividable by 3 if the sum of it's individual is divided by 3.
27 is dividable by 3, therefore any combination will result a number with a factor of three.
Prime number is the number that is only dividable by 1 and itself. Therefore, any combination using those numbers are not prime number.
So the probability is 0
Answer:
15 square units.
Step-by-step explanation:
To find the area, we must find the width and length of the rectangle. To find the width and length, we need to find the length of AB and the length of BC. We use the distance formula.
AB: A(-8, 3); B(-3, 3).

= 
= 
= 
= 5
BC: B(-3, 3); C(-3, 6).

= 
= 
= 
= 
= 3
Now that we have both the width and the length, we can solve for the area using A = lw, where A is the area, l is the length, and w is the width. In this case, l = 5 and w = 3.
A = lw
A = 5 * 3
A = 15
So, the area of the rectangle is 15 square units.
Hope this helps!
Answer:
a. [ 0.454,0.51]
b. 599.472 ~ 600
Step-by-step explanation:
a)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=410
Sample Size(n)=850
Sample proportion = x/n =0.482
Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]
= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]
= [ 0.454,0.51]
b)
Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Samle Proportion = 0.482
ME = 0.04
n = ( 1.96 / 0.04 )^2 * 0.482*0.518
= 599.472 ~ 600
To solve this problem, we must multiply the cost of one box of chocolates ($9) by the number of boxes of chocolates purchased (15) to find the total cost of the chocolates.
$9 * 15 = $135
Therefore, your answer is $135, or option D.
Hope this helps!