Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
The equation of the line will be (assuming the y-intercept equal to zero):
y = 2.5*x
<h3>
What is Tahila's mistake?</h3>
We know that we have a linear equation of the form:
y = a*x + b
Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:
y = 0.5*x
If you evaluate that in -3, you get:
y = 0.5*-3 = -1.5
So this line does not pass through (-3, -7.5).
If we assume that b = 0 in the linear equation, then we can find the value of a as:
-7.5 = a*-3
a = 7.5/3 = 2.5
Then the linear equation is:
y = 2.5*x
If you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
Answer:
More than 7
Step-by-step explanation:
Given that:
Joshua's goal is to sell more than 20 items at a farmer's market.
Number of items already sold = 6
So, number of more items to be sold > Total number of items to be sold - Number of items already sold > 20 - 6 > 14
Given that each customer buys 2 items.
Let 
be the number of customers.
So, number of items bought be the customers = Number of items bought by each customer multiplied by the number of customers = 
And as per the question statement,
Number of more items to be sold > 14 (as calculated in above step)
Therefore, the answer is: <em>More than 7 additional customers are required</em>.
Answer:
Option b
or 
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function 
x> 0 for all real numbers.
Then the equation:
has two cases
if 
(i)
if 
(ii)
We solve the case (i)
We solve the case (ii)
Then the solution is:
or
90 counterclockwise hope I’m right
