A video company randomly selected 100 of its subscribers and asked them how many hours of shows they watch per week. Of those surveyed 35 watch more than 10 hours per week. Based on the data, if the company has 3,000 subscribers, how many watch more than 10 hours per week?
Answers
Hello there!
35/100 watch more then 10 hours a week
3000 is 30 times greater than 100 so we can simply multiply 35/100 by 30.
35/100 x 30 = 1050/3000
Therefore, if the company had 3,000 subscribers, 1,050 subscribers would be watching more than 10 hours a week.
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Answers
Answer:
0.592
Step-by-step explanation:
Total Number of Students =125
Out of these, 74 reported that they have completed their required English 101 course.
To find the best point estimate for the proportion of students at the college who have completed their required English 101 course, we divide the number of students who said "yes" by the total number of students.
Answers
Answer: Hi! when someone says that the odds on (against) your bet are 4 to 7, means that you have 4 chances to lose, and 7 to win.
then if 4 + 7 = 11 = 100%
4/11*100% = 36.36%
and 7/11*100% = 63.63%
You can notice that the probability for a win is bigger than the probability for a loss, so the amount earned will be less than the bet.
So you have a 63% chances of winning
then, if you bet 70$, you will win 70$*4/7 = 40$
so the total return is 70$ + 40$ = 110$
opened.
B. The amount of money in a bank account never changes
C. The amount of water in a cup decreases as it evaporates
D. A flower slowly grows taller
Answers
Answer:B the amount of money in a bank account never changes.
Step-by-step explanation:
Answer:
B. The amount of money in a bank account never changes.
Step-by-step explanation:
Equilibrium is achieved when the state of a reversible reaction of opposing forces cancel each other out. While in a state of equilibrium, the competing influences are balanced out. Imagine a cup with a hole in it being filled with water from a tap. The level of water in this cup would stay the same if the rate at which the water that flows inside is the same as the water that flows outside. Option B will be the correct answer because the amount of money going into the account is at the same rate of money coming out of the account.
Answers
Answer:
58 1/4, 233/4, 5825%
Step-by-step explanation:
Answer:
You can write as a fraction, a percentage, and in word form
Step-by-step explanation:
Answers
Answer:
Positive 233
Step-by-step explanation:
7300-3280-2620-1167(14000/12)=233.
2. Find the value of n
Answers
Answer:
For 1: The first term is 10 and the common difference is
For 2: The value of n is 27
Step-by-step explanation:
The n-th term of the progression is given as:
where,
is the first term, n is the number of terms and d is the common difference
The sum of n-th terms of the progression is given as:
where,
is the sum of nth terms
- For (1):
The 11th term of the progression:
.......(1)
Sum of first 4 numbers:
......(2)
Forming equations:
( × 8)
The equations become:
Solving above equations, we get:
Putting value in equation (1):
Hence, the first term is 10 and the common difference is
- For 2:
The nth term is given as:
Solving the above equation:
Hence, the value of n is 27
Final answer:
The value of n when the nth term of the progression is 49 is 22.
Explanation:
The 11th term of the progression (a11) is 25.
The sum of the first 4 terms (S4) is 49.
The nth term (an) is 49.
Let's find the answers to your questions:
Find the first term of the progression (a1) and the common difference (d):
We know that the nth term of an AP can be expressed as:
an = a1 + (n - 1)d
Substituting the values:
a11 = a1 + (11 - 1)d
25 = a1 + 10d
Now, we need to find a1 and d. We'll also use the information that the sum of the first 4 terms (S4) is 49. In an AP, the sum of the first n terms (Sn) can be expressed as:
Sn = (n/2)[2a1 + (n - 1)d]
For S4:
49 = (4/2)[2a1 + (4 - 1)d]
49 = 2[2a1 + 3d]
Now, we have two equations:
25 = a1 + 10d
49 = 2[2a1 + 3d]
Let's solve this system of equations to find a1 and d.
1. First, rearrange the first equation to isolate a1:
a1 = 25 - 10d
Now, substitute this expression for a1 into the second equation:
49 = 2[2(25 - 10d) + 3d]
Simplify and solve for d:
49 = 2[50 - 20d + 3d]
49 = 2[50 - 17d]
49 = 100 - 34d
34d = 100 - 49
34d = 51
d = 51/34
d = 3/2
2. Now that we have the common difference (d), we can find a1 using the first equation:
a1 = 25 - 10d
a1 = 25 - 10(3/2)
a1 = 25 - 15/2
a1 = (50 - 15)/2
a1 = 35/2
a1 = 17.5
So, the first term of the progression (a1) is 17.5, and the common difference (d) is 3/2.
Find the value of n when the nth term of the progression is 49:
We know that an = 49, and we can use the formula for an in an AP:
an = a1 + (n - 1)d
Substitute the values:
49 = 17.5 + (n - 1)(3/2)
49 - 17.5 = (n - 1)(3/2)
31.5 = (n - 1)(3/2)
To isolate n, multiply both sides by (2/3):
(n - 1)(3/2) = 31.5 * (2/3)
(n - 1) = 21
Now, add 1 to both sides to find n:
n = 21 + 1
n = 22
So, the value of n when the nth term of the progression is 49 is 22.
Learn more about Arithmetic Progression here:
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