Answer:
Equation::2n-4=18::N=11
Step-by-step explanation:
2.Then divide 22 by 2 and get n=11
3.So, N=11
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
Th The population mean
The standard deviation is
The values considered is
Given that the distribution of the amounts spent follows the normal distribution then the percent of the adults spend more than $2,550 per year on reading and entertainment is mathematically represented as
Generally
So
substituting values
From the normal distribution table the value of is
Thus
We calculate the z-score for the amount $2,550 using the given mean and standard deviation. The z-table gives us the percentage of people who spend less than this, which we subtract from 1 to find the percentage who spend more. Approximately 16.85% of adults in the 25- to 34-year age group spend more than $2,550 on reading and entertainment each year.
To compute the percentage of adults spending more than $2,550 per year, we must first find the z-score associated with this value. The z-score is a measurement of how many standard deviations a particular data point is from the mean.
The formula for calculating the z-score is: Z = (X - μ) / σ.
Where:
- X is the value we are interested in.
- μ is the mean.
- σ is the standard deviation.
Using this formula, the z-score for $2,550 is:
Z = ($2,550 - $1,999) / $574 = 0.96.
Next, we need to use a z-table or a standard normal distribution table to find out the probability that lies below the calculated z-score. Looking this up on a z-table, we get a value of 0.8315, meaning that 83.15% of the population will spend $2,550 or less per year on reading and entertainment. Since we want to know the percentage spending more than $2,550, we subtract this value from 1: 1 - 0.8315 = 0.1685.
Therefore, based on the given mean and standard deviation, about 16.85% of adults in the 25- to 34-year age group spend more than $2,550 on reading and entertainment each year.
#SPJ3
Answer: A.
Step-by-step explanation: Brainliest plz
Answer:
Anything above 9
Step-by-step explanation:
63/7=9
quarterly after 4 years
Answer:
$1,164.80
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, we need to change 6.5% into a decimal:
6.5% -> -> 0.065
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
The balance after 4 years will be $1,164.80
Answer:no picture/no question
Step-by-step explanation:
Answer:
It is better for the warriors to use man-to-man defense.
Step-by-step explanation:
The complete question is: The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while others primarily use a man-to-man defense. When the Warriors play against teams that use a zonedefense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.
Since the Warriors started using their improved offensive strategies they have played two games with the following results.
Against the McNeil Mavericks
Maverick defense: zone
Warrior points: 77
Against the Round Rock Dragons
Dragon defense: man-to-man
Warrior points: 71
What is the Z-score of these values?
We are given that when the Warriors play against teams that use a zonedefense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.
We have to find the z-scores.
Let X = points score by warriors when they use zone defense
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean score = 67 points
= standard deviation = 8 points
It is stated that the Warriors scored 77 points when they used zone defense, so;
z-score for 77 =
= = 1.25
Let X = points score by warriors when they use man-to-man defense
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean score = 62 points
= standard deviation = 5 points
It is stated that the Warriors scored 71 points when they used man-to-man defense, so;
z-score for 71 =
= = 1.8
So, it is better for the warriors to use man-to-man defense.