Answer:
Step-by-step explanation:
Let Sue's age = x
Leah's age = x + 6
John's age= Leah's age + 5 = (x+6) + 5 = x + 11
Sum of their ages = 41
x + (x+6) + ( x+11 ) = 41
x + x+6 +x +11 = 41
3x + 17 =41
3x = 41 -17
3x = 24
x = 24/3
x =8
Sue's age = 8 years
The volume of each rectangular prism is the product of its dimensions. The total volume is the sum of the volumes of the two rectangular prisms.
(4 ft)·(6 ft)·(3 ft) + (9 ft)·(2 ft)·(16 ft) = 72 ft³ + 288 ft³ = 360 ft³
Answer:
<u>For 1 quart of orange juice:</u>
Calories = 448
Vitamin C = 387.6 mg
Carbohydrates = 107.56 mg
Step-by-step explanation:
The following information is given about 1 CUP of orange juice:
<h2>Calories</h2><h3>112</h3><h2>Vitamin C</h2><h3>96.9 mg</h3><h2>Carbohydrates</h2><h3>26.89 mg</h3>
Now, we have to estimate the 3 values for 1 quart of orange juice. Remember, 4 cups is 1 quart, so we need to multiply each value by 4 to get the values for 1 quart.
Calories = 112 * 4 = 448
Vitamin C = 96.9 * 4 = 387.6 mg
Carbohydrates = 26.89 * 4 = 107.56 mg
You solve this by first determining how many years is it from 2004 to 2016. It is 12 years. Now you do 0.07 (which is 7% in decimal form) times 12 which gives you 0.84. To find 84% of 12,500, you just multiply them two together and get 10,500. You finish this by subtracting 10500 from 12500 and you get $2,000 as your final answer.
For 2020, you determine how many years it is from 2004 to 2020 and you get 16. So you multiply 0.07 times 16 giving you 1.12. You multiply 1.12 times 12,500 and you get 14,000. Finally, you subtract 14,000 from 12,500 giving you -1500.
Answer:
Step-by-step explanation:
Given that a school has 20 classes: 16 with 25 students in each, three with 100 students in each, and one with 300 students for a total of 1000 students.
a) Y = no of students in the class out of 20 selected at random
Y can take values as
Y 25 100 300 Total
freq 16 3 1 20
P(Y) 16/20 3/20 1/20 1
y*p 20 15 15 50
E(Y) = 50
b) X = size of student from which one student is taken at random
X 25 100 300 Total
No of classes 16 3 1 20
Total students
(X*no of classes) 400 300 300 1000
P(x) 0.4 0.3 0.3 1
X*P 160 90 90 240
E(x) =240
c) On an average, a student at this school is in a class with 240 students. On average, a class at this school has 50 students.
i.e. expectation of number of students in a class is 50 while expectation of a student having students in the class is 240