Answer:
What is the probability that you will finish this quiz in 23.84 minutes or less?
0.03593
Write your answer as a percentage with 2 decimals
= 3.59%
Step-by-step explanation:
The z score formula is given as:
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean = 26 minutes
Standard deviation = 1.2 minutes.
The probability that you will finish this quiz in 23.84 minutes or less(≤) is calculated as:
z = (x-μ)/σ
z = 23.84 - 26/1.2
z = -1.8
Probability value from Z-Table:
P(x ≤ 23.84) = 0.03593
Converting to percentage
0.03593 × 100
= 3.593
Approximately to 2 decimal places = 3.59%
Answer: The required scale factor of the dilation is 4.
Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.
We are to find the scale factor of the dilation.
From the graph, we note that
JH = 2 units and J'H' = 8 units.
We know that

Therefore, the scale factor of the given dilation is

Thus, the required scale factor of the dilation is 4.
Answer: probly d
Step-by-step explanation:
a ,b ,and c are subtracting makeing it hard top get something that was not in the problem
<span>We are given the slope and the y-intercept.
m=-6/7, b=3 1/7
We use the slope-intercept form of the equation of the line to get an equation.
y = mx + b
y = -6/7x + 3 1/7
Now we need standard form.
The x- and y-terms must be on the left side, and we need integer coefficients.
y = -6/7x + 22/7
Multiply both sides by 7.
7y = -6x + 22
Add 5x to both sides.
6x + 7y = 22
</span>
Answer:
y + 3 = 10/11(x + 3)
Step-by-step explanation:
Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:

Let (x1, y1) = (-3, -3)
(x2, y2) = (8, 7)
Substitute these values into the slope formula:

Thus, slope (m) = 10/11.
Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (-3, -3)
m = 10/11
y - y1 = m(x - x1)
y - (-3) = 10/11[x - (-3)]
Simplify:
y + 3 = 10/11(x + 3) this is the point-slope form.