Answer: 24 servings
Step-by-step explanation:
First and foremost, we should note that:
4 cups = 1 quart
Therefore, 3 quarts = 3 × 4 cups = 12 cups
Since she uses 5 cups of milk to make 10 servings, it means that 1 cup of milk is used to make 2 servings. Therefore, 12 cups would be used to make:
= 12 × 2
= 24 servings.
Answer:
The standard deviation of weight for this species of cockroaches is 4.62.
Step-by-step explanation:
Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
To find : What is the approximate standard deviation of weight for this species of cockroaches?
Solution :
We have given,
Mean 
The sample mean x=55
A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
i.e. P(X>55)=14%=0.14
The total probability needs to sum up to 1,
The z-score value of 0.86 using z-score table is z=1.08.
Applying z-score formula,
Where, 
is standard deviation
Substitute the values,
The standard deviation of weight for this species of cockroaches is 4.62.
4(-8+4.5)
-32+18
-14
6.25+(-8.25)
-2
-14/-2
7
The answer is 7.
x= length, y=width
Both the length and width were increased by 60% so now they are:
1.6x and 1.6y
Then they were both reduced by 25% so now they are 75%(100-25) of their previous size so they are:
0.75(1.6x) and 0.75(1.6y)
Their area would be length * width so it would be:
0.75(1.6x) * 0.75(1.6y)
Simplified this would be:
1.2x * 1.2y
Simplified more it would be :
1.44xy which is also 144% of xy which is a 44% increase of the original area (xy)
So the answer is:
44%
Answer:
The number must be 30.
Step-by-step explanation:
The mystery number is less then 40.
You say its name when you start at 3 and count by 3s. This means that it is a multiple of 3.
You say its name when you start at 5 and count by 5s. This means that it is a multiple of 5.
The only two numbers that are multiples of 3 and 5 and less than 40 are 15 and 30.
Since we have been told that the number is not 15, the number must be 30.
