A parallelepiped focuses on three-dimensional figures formed by six parallelograms.
<h3>How to explain the parallelepiped?</h3>
A parallelepiped shape has the following features
- They are three-dimensional figures
- They are formed by 6 parallelograms
- Opposite parallelograms are congruent
Think of a cube or a cuboid.
Notice that they contain squares and rectangles
A parallelepiped is to a parallelogram as a square is to a cube and a rectangle to a cuboid
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Answer:
The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
Step-by-step explanation:
Let us assume that the cost of one muffins be x.
Let us assume that the cost of one 1 quarts of milk be y.
As given
The cost of 8 muffins and 2 quarts of mil is $18.
Than the equation becomes
8x + 2y = 18
As given
The cost of 3 muffins and 1 quart of milk is $7.50.
Than the equation becomes
3x + 1y = 7.50
Two equations are
8x + 2y = 18 and 3x + 1y = 7.50
Multiply 3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .
Thus
8x - 6x + 2y - 2y = 18 - 15
2x = 3
x = 1.5
Put x = 1.5 in 3x + 1y = 7.50
3 × 1.5 + y = 7.50
y = 7.50 - 4.5
y = 3
Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
Answer:
<h2><em>
$23.5</em></h2>
Step-by-step explanation:
Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;
If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12
If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0
If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5
Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.
<em>Hence Gene expected cost will be $21.5</em>
Answer: The answer would be C.
Step-by-step explanation:
Explanation : Enzo has 7 pesos, and a ballpoint pen is 2 pesos + an additional 2 pesos, he spent 4, now we have 3 left. A notebook is 3 pesos - a single peso, he just spend 2 more pesos leaving him with only 1 peso left. The crayons cost 2 pesos - a single peso which means he used his remaining peso, 4 + 2 + 1 = 7.
Answer:
The probability that the average of the scores of all 400 students exceeds 19.0 is larger than the probability that a single student has a score exceeding 19.0
Step-by-step explanation:
Xi~N(18.6, 6.0), n=400, Yi~Ber(p); Z~N(0, 1);
P(Xi≥19.0)=0.473
p=0.473
Yi~Ber(0.473)
Based on the Central Limit Theorem:
Then:
Based on the Central Limit Theorem:
Then:
the probability that the average of the scores of all 400 students exceeds 19.0 is larger than the probability that a single student has a score exceeding 19.0
