Kylie is 8 and her Brother is 14
14-6 = 8 * Kylie’s age is 8
Sum: 8 + 14 = 22
To find a perpendicular line, you must flip the slope over and make it negative. So, the perpendicular slope would be -4/3. Plug the point into this slope equation and solve for the y intercept. 11 = -4/3(-5) + b. b = 13/3. So, the line would be y = -4/3(x) + 13/3
Answer: E. All of the above statements are true
Step-by-step explanation:
The mean of sampling distribution of the mean is simply the population mean from which scores were being sampled. This implies that when population has a mean μ, it follows that mean of sampling distribution of mean will also be μ.
It should also be noted that the distribution's shape is symmetric and normal and there are no outliers from its overall pattern.
The statements about the sampling distribution of the sample mean, x-bar that are true include:
• The sampling distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough.
• The sampling distribution is normal regardless of the sample size, as long as the population distribution is normal. • The sampling distribution's mean is the same as the population mean.
• The sampling distribution's standard deviation is smaller than the population standard deviation.
Therefore, option E is the correct answer as all the options are true.
Answer:
51.877 kg
Step-by-step explanation:
a
See attachment for calculations
b
The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have
t = 4 hours = 4 * 60 minutes = 240 minutes
y = 160/3 (1 - e^((-3 * 240)/200))
y = 160/3 (1 - e^(-720/200))
y = 160/3 (1 - 0.0273)
y = 160/3 (0.9727)
y = 51.877 kg
Therefore, the amount of salt in the tank after 4 hours is 51.877 kg
Unable to provide a definitive answer due to lack of diagram.
Answer: 1/4
Step-by-step explanation:
Multiples of 6:
Multiples of 6 are numbers obtained when 6 is multiplied by an integer. Such as
(6*1) = 6, (6*2)=12, (6*3) = 18..... and so on.
Probability is calculated by finding the ratio of the required outcome and total possible outcomes.
Probability = required outcome / Total possible outcomes
P(multiple of 6) = number of multiples of 6 / total number of possible outcomes
If number of 6 multiples = 5 and
Total number of faces in the spinner = 20
Then :
P(multiple of 6) = 5/20 = 1/4
