Answer:b)0.8577
Step-by-step explanation:
Since the heights of men are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = heights of men
u = mean height
s = standard deviation
From the information given,
u = 69 inches
s = 2.8 inches
We want to find the probability that the mean height of the 100 men is less than 72 inches.. It is expressed as
P(x < 72)
For x = 72
z = (72 - 69)/2.8 = 1.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.8577
P(x < 72) = 0.8577
Answer: 1) Percentage, Probability, Proportion
Step-by-step explanation:
In statistics,
▪Proportion means a fraction of the total.
▪Percentage means a number or a ratio, expressed as a fraction of 100. Here, the total is 100.
▪Probability which may look slightly different from the other two means a number between 0 and 1, showing the exact likelihood of an event happening. Which in context can mean, a number showing a fraction of an event happening out of the whole (0 to 1).
▪Critical value means a point in hypothesis testing on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.
In the four definitions, the odd one out is Critical Value.
So the option without critical value in it is option 1) Percentage, Probability, Proportion since we can use the three interchangeable.
Answer:
make those cheeks go in circuler motion
Step-by-step explanation:
Answer:
The value of x is 10
Step-by-step explanation:
We can use a system of equations to solve this.
Cups of 25% bleach solution used = x
Cups of 1-% bleach solution used = 5
Cups of solution we get = y
The first equation becomes:
x + 5 = y
Using the decimal forms of each percentage solution
25% solution for x cups = 0.25x
10% solution for 5 cups = 0.1(5)
20% solution for y cups = 0.2 y
The second equation becomes:
0.25x + 0.1(5) = 0.2y
So the system of equations is:
x + 5 = y
0.25x + 0.1(5) = 0.2y
Solve both equations simultaneously to find the values of x and y:
x = 10 cups
y = 15 cups