10 small boxes and 11 large boxes were shipped.
Step-by-step explanation:
Given,
Total boxes shipped = 21
Total volume of shipped boxes = 342 cubic feet
Volume of each small box = 10 cubic feet
Volume of each large box = 22 cubic feet
Let,
Number of small boxes = x
Number of large boxes = y
According to given statement;
x+y=21 Eqn 1
10x+22y=342 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 12
Putting y=11 in Eqn 1
10 small boxes and 11 large boxes were shipped.
Keywords: linear equation, subtraction
Learn more about linear equations at:
#LearnwithBrainly
The different type of discount effected on the prices of two similar products having the same unit price may either increase or decrease the total unit price on the discounted sale price of the items.
Taking an hypothetical scenario :
50 ml of Product A = $100
60 ml of product A = $100
<u>Discount on sale of 60ml size on purchase of two or more units </u> : 10% off
Discounted price of 60 ml size :
Initial product cost on purchase of 3 units = ($100 × 3) = $300
Discounted price = (100 - 10)% × $300 = $270
<u>Discount on sale for 50ml size on purchase of two or more units</u> : $20 off
Discounted price of 50ml size :
This means $20 is deducted from any purchase of two or more units ;
Hence, purchasing 2 units of the 50 ml product will cost ; (
($100 × 2) - $20
$200 - $20 = $180
Therefore, the discount effected on the cost of product which has the same unit price may either decrease or increase the total cost of one product relative to the other.
Learn more :brainly.com/question/20418815
I want to say 7.6% is the answer
Answer:
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
Step-by-step explanation:
Given data:
51% of male voters preferred a Republican candidate
sample size = 5490
To win the vote one needs ≈ 2746 votes
In order to advice Gallup appropriately lets consider this as a binomial distribution
n = 5490
p = 0.51
q = 1 - 0.51 = 0.49
Hence 
> 5 while 
< 5
we will consider it as a normal distribution
From the question :
number of male voters who prefer republican candidate ( mean ) ( u )
= 0.51 * 5490 = 2799.9
std = 
= 
= 37.0399 ---- ( 1 )
determine the Z-score = (x - u ) / std ---- ( 2 )
x = 2746 , u = 2799.9 , std = 37.0399
hence Z - score = - 1.4552
hence
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
Answer:
x=11
Step-by-step explanation:
by simplifying we get x=11
