Add up the number of students within the random sample data:
32+26+28+22 = 108
We can then use proportional fractions / cross-multiply to answer the question.
In a sample size of 108 students, 32 of them preferred Movie A.
There are 900 students in total.
32*900 = 28800
108*x = 108x
108x = 28800
x = or
In decimal form that is approximately 266.667 and round that to the nearest whole number, you get 267 students who would prefer Movie A.
Answer:
He will read 72 chapters in 1 day
Step-by-step explanation:
Let us use the ratio method to solve this question
∵ Sam read 6 chapters in 2 hours
∵ He continues to read at this same rate for 1 day
→ We must change the day to hours
∵ 1 day = 24 hours
∴ We need to find how many chapters he will read in 24 hours
→ Chapter : Hour
→ 6 : 2
→ x : 24
→ By using cross multiplication
∵ x × 2 = 6 × 24
∴ 2x = 144
→ Divide both sides by 2
∵ =
∴ x = 72
∴ He will read 72 chapters in 1 day
Answer:
-4
Step-by-step explanation:
Find the rate of change for f(x) = x² - 8x + 15 from x = 0 to x = 4
The rate of change is the rate at which a variable changes over a specific period of time.
Averate rate of change:
First, we need to find the functions for when x = 0 and when x = 4:
For x = 0
f(x) = x² - 8x + 15
f(0) = 0² - 8(0) + 15
f(0) = 0 - 0 + 15
f(0) = 15
For x = 4
f(x) = x² - 8x + 15
f(4) = (4)² - 8(4) + 15
f(4) = 16 - 32 + 15
f(4) = -16 + 15
f(4) = -1
Averate rate of change:
A =
A =
A =
A =
Therefore, the rate of change from x = 0 to x = 4 is -4.
Hope this helps!
Answer:
0.2
Step-by-step explanation:
Now we can work out the denominator separately.
9 + 50*e^2
9 + 50*7.389
9 + 369.45
378.45
Now use this number to get the final answer.
f(-2) = 90 / 378.45
f(-2) = 0.237 To the nearest tenth
f(-2) = 0.2
There was a lot of movement for that e^x factor make sure you study carefully how that moved around and why. It's a good question. Get what you can from it.