Answer:
y = 2x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 2
The line passes through the y- axis at (0, 3) ⇒ c = 3
y = 2x + 3 ← equation of line
Answer:
t = 3.1 seconds
Step-by-step explanation:
Set the equation h = -16t^2 + 40t + 30 equal to 0 (0 represents ground level).
Then h = -16t^2 + 40t + 30 = 0
Applying the quadratic formula with a = -16, b = 40 and c = 30,
-40 ± √( 1600 - 4[-16][30] )
t = -----------------------------------------
2(-16)
-40 ± √ 3520
t = -------------------------
-32
-40 - 59.33
Only the positive t value makes sense. It is t = ------------------
-32
t = 3.1 seconds
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean
and standard error 
In this problem:
- Sample of 500 customers, hence
.
- Amazon believes that the proportion is of 70%, hence
The <u>mean and the standard error</u> are given by:
The probability is the <u>p-value of Z when X = 0.68</u>, hence:
By the Central Limit Theorem
has a p-value of 0.1635.
0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
A similar problem is given at brainly.com/question/25735688
Answer:
Step-by-step explanation:
Neither blue plot line is dashed, so we eliminate any equation that contains the symbols "<" or ">". Remove A and C
B and D (actually all options) have y ≤ -x + 4 which is a line with slope -1 any y intercept 4. This represents the area below the line running from (0, 4) to (4, 0)
Which leaves us to select from y ≥ x + 2 for option B or y ≤ x + 2 for option D
As the shaded area is <em>below</em> the line we choose <u>option D</u>
<em />
-1/8 -2/8 -3/8 because any fraction is ok, they don't have 0 as a denominator.
