Answer:
10 feet
Step-by-step explanation:
Given
Dimension = 2 feet by 3 feet
Required
Determine the length of the short side if the longer side is scaled to 15 feet
Represent the before and after enlargement as a ratio:
Before Enlargement
Ratio = 2 ft : 3ft
After Enlargement
Ratio = x : 15 ft
Where x represents the length of the shorter side
Since they're both proportional, their ratio must be equal.
So, we have:
2 : 3 = x : 15
Convert ratio to fraction
⅔ = x/15
Multiply both sides by 15
15 * ⅔ = 15 * x/15
15 * ⅔ = x
30/3 = x
10 = x
x = 10
Hence, the length of the shorter side must be 10 feet
The nearest whole number would be 13 because it takes more to get to 14 and take less to go to 13 so you answer is 13
Answer:
C. 0.403
Step-by-step explanation:
Binomial distribution has two parameter n and p. Here, n=15 and p=0.60.
We have to find the probability of 10 or more will show that the hamburger, French fries and a drink were ordered. P(X≥10)=?
The binomial probability distribution function for random variable X is

where q=1-p=1-0.6=0.4,n=15 and p=0.6.
P(X≥10)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)
=0.185938
=0.126776
=0.063388
=0.021942
=0.004702
=0.000470
P(X≥10)= 0.185938
+0.126776
+0.063388
+0.021942
+0.004702
+0.000470
P(X≥10)=0.403216
So, the probability of 10 or more will show that the hamburger, French fries and a drink were ordered is 0.403.
Answer:
A) x = 8
Step-by-step explanation:
in a 45-45-90 triangle, the legs to hypotenuse ratio is 1 : 
so in this problem the leg is 8 and the hypotenuse is 8
Amount of liquid plant fertilizer in the container that the gardener has = 6 1/5 pounds
= 31/5 pounds
We already know that 1 pound = 16 ounce
Then
Amount of liquid plant fertilizer in the
container that the gardener has = (31/5) * 16 ounce
= 496/5 pounds
Amount of liquid plant fertilizer that the gardener uses on Sunday = 2 1/2 ounces
= 5/2 ounces
Then
The amount of liquid plant fertilizer that are left= (496/5) - (5/2) ounces
= (992 - 25)/10 ounces
= 967/10 ounces
= 96.7 ounces
So the total amount of liquid plant fertilizer left is 96.7 ounces.