Answer:
Improper fraction = 10/3 cups
Mixed fraction = 3 1/3 cups
Step-by-step explanation:
Given;
Sam uses 2/3 cup of sugar to make cookies
Rate = 2/3 cup per batch
To make 5 batches, he would need;
Amount = number of batches × rate per batch
Amount = 5 batches × 2/3 cups per batch
Amount of sugar he would need = 10/3 or 3 1/3 cups
Answer:
Step-by-step explanation:
hello :
here is two examples:
1) x²-9=0 means : x²-3² = (x-3)(x+3) = 0 .... use identity : a²-b² = (a-b(a+b)
use the Zero Product Property; x-3=0 or x+3=0 so : x=3 or x= +3
2) x²+4x = 0....using factoring : x(x+4)=0 means : x=0 or x+4=0
x=0 or x= - 4
Answer:
x = 4/(11y)
Step-by-step explanation:
22yx = 8
Solve for x so divide each side by 22y
22xy/22y = 8/22y
x = 4/(11y)
Answer:
The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.
Using the normal distribution, it is found that the percentage of people spend <u>between 41 and 56 minutes</u> watching TV shows on this streaming service is:
a) 13.5%
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 71, hence
- The standard deviation is of 15, hence
The proportion <u>between 41 and 56 minutes</u> is the <u>p-value of Z when X = 56 subtracted by the p-value of Z when X = 41</u>, hence:
X = 56:
has a p-value of 0.16
X = 41:
has a p-value of 0.025
0.16 - 0.025 = 0.135
0.135 x 100% = 13.5%
Hence option a is correct.
A similar problem is given at brainly.com/question/25769446