Answer:
a
b
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as
Generally 
Generally from the z-table
So
Converting to percentage
=>
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as
=> 
From the normal distribution table the z-score for 0.06 at the lower tail is
So
=>
Answer:
10
Step-by-step explanation:
We know that interior plus exterior angles add to 180.
1/5 of 180 = 36
36 degrees = exterior angles
180-36=interior angles
180-36=144
To find the number of sides of a polygon you have to do 360/exterior angles
360/36=10
From what I imagine in the problem description, the toy is located on the ground. Then, Belkis is pulling on the string to keep the toy moving just like how you put a leash on a dog. My illustration is shown in the picture. The F arrow is where Belkis pulls it. Its component vectors are Fx and Fy, as shown.
From the figure, we can see that it forms a right triangle. So, it makes it easy because the pythagorean theorems are applicable and we can easily use trigonometric functions. First, let's determine Fy which is located opposite to the angle. Since we know the hypotenuse F to be 1.5 N, so we use the sine function:
sin 52° = Fy/F = Fy/1.5
Fy = 1.182 NFor the horizontal component, Fx is parallel to the adjacent side with respect to the angle. Thus, we use the cosine function.
cos 52° = Fx/F = Fx/1.5
Fx = 0.923 N
Answer:
The 90% confidence interval for the support of Sanders by millenials is between 53% and 57%.
Step-by-step explanation:
In this question we have to calculate a confidence interval (90% CI) on the proportion of millenials that had a favorable opinion on Sanders.
The sample size is n=1,754.
The p-hat, taken from the poll, is
The estimated standard deviation is equal to:
For a 90% CI, the z-value is z=1.645.
Then, the confidence interval is
Answer:
2/35
Step-by-step explanation:
The only way we can solve this problem is to assume that the given complement of pieces is of a full kit before one went missing. The total number of pieces in the kit is ...
... 9 + 8 + 12 + 6 = 35
Of those, 2 are red with four holes. Thus the probability that a randomly chosen piece is red with 4 holes is 2 out of 35, or 2/35.
____
If this is the kit contents after the piece went missing, we have no way of knowing the color or hole count of the missing piece. If the kit is supposed to contain 13 blue pieces, for example, then the probability is zero that the missing piece is red.
