Answer:
2 >
Step-by-step explanation:
Given:
- Felicity's dog eats two cups of dog food per day :2
If the amount of food that Martin's dog eats is represented by using m
Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats:
So we have the inequality represents the situation is:
2 >
Answer:
4 / 5
Step-by-step explanation:
From the image attached, Line BA is divided into a total of 5 equal proportions (or intervals). Point P is placed at the 4th proportion of the divided line, also the distance between point P and point A is 1 propotion. The ratio in which point P divides the line BA is given as:
Ratio = BP : PA = 4 : 1
Ratio = 4 : 1
The part to whole ratio If point p partitions line BA = BP / BA = 4 / 5
Part to whole ratio = 4/5
Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
Let X be the number of lightning strikes in a year at the top of particular mountain.
X follows Poisson distribution with mean μ = 3.8
We have to find here the probability that in randomly selected year the number of lightning strikes is 0
The Poisson probability is given by,
P(X=k) = 
Here we have X=0, mean =3.8
Hence probability that X=0 is given by
P(X=0) = 
P(X=0) = 
P(X=0) = 0.0224
The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224
Answer:
25/64
Step-by-step explanation:
ratio of perimeters = 15/24 = 5/8
ratio of areas = square of ratio of perimeters
ratio of areas = (5/8)^2 = 25/64