Alice should pick the enlarged-photo with dimensions of 8-inch by 10-inch.
Step-by-step explanation:
Step 1:
In order for a part of the photo to not be cut off, the enlarged photo's dimensions should be of a constant ratio with the original photo's dimensions.
We divide the dimensions of the enlarged-photo with the dimensions of the original photo to check which has a constant ratio.
Step 2:
The original photo was a 4-inch by 5-inch photo.
Option 1 is 7-inch by 9-inch, so the ratios are
The ratios are different so this cannot be the enlarged photo's dimensions.
Option 2 is 8-inch by 10-inch, so the ratios are
The ratios are the same so this can be the enlarged photo's dimensions.
Option 3 is 12-inch by 16-inch, so the ratios are
The ratios are different so this cannot be the enlarged photo's dimensions.
So the enlarged-photo with dimensions of 8-inch by 10-inch should be picked.
Answer:
P(N)=0.3
Step-by-step explanation:
Given: P(M)= 0.46, P(M and N)=0.138
Using P(M) ×P(N)= P(M and N)
⇒0.46×P(N)= 0.138
⇒P(N)= 
⇒P(N)=0.3
The fact that the first chosen student was a girl is already decided, so there is no need to find the probability of that happening. There are a total of 13+10, or 23 students. A girl was already selected, so that leaves 22 students. The chance that a boy is chosen is 10/22, or 5/11.
Answer:
Tax for Italian Salad=$0.20
Tax for Lasagna= $0.43
Tax for Spaghetti =$0.21
Tax for Fettuccini Alfredo =$0.36
Step-by-step explanation:
Hi, to answer this question we have to multiple the price of each item by the tax percentage in decimal form (divided by 100):
Italian Salad =$3.99
- Tax for Italian Salad= 3.99 x (5/100) = 3.99 x 0.05 =$0.20
Lasagna =$8.50
- Tax for Lasagna= 8.50 x (5/100) = 8.50 x 0.05 =$0.43
Spaghetti =$4.29
- Tax for Spaghetti = 4.29x (5/100) = 4.29 x 0.05 =$0.21
Fettuccini Alfredo =$7.17
- Tax for Fettuccini Alfredo = 7.17 x (5/100) = 7.17 x 0.05 =$0.36
Feel free to ask for more if needed or if you did not understand something.
Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728
