Converting a decimal to a mixed number is very simple when you get the hang of it. Since 8 is before the decimal, that is your number in the mixed number. For the fraction part, it's 77/100. The denominator is 100 because when you count the decimal places, it goes to hundredths. 77/100 is already in simplest form, so your final answer is 8 77/100.
Answer:
The slope is 3
Step-by-step explanation:
Parallel lines always have the same slopes. This equation is in slope-intercept form, y=mx+b, m being the slope. Our m, or the slope, is 3, and because the line is parallel, it also has a slope of 3.
Answer:
A
Step-by-step explanation:
To understand this, we can look at the vertical & horizontal translations of a parabola of the form 
- A vertically translated parabola has the form
, where k is the vertical shift upward when k is positive and vertical shift downward when k is negative. - A horizontally translated parabola has the form
, where a is the horizontal shift rightward when a is positive and horizontal shift leftward when a is negative.
When we replace x of the original function with (x-1), we have 
. According to the rules, this means that the original function is shifted 1 unit right (horizontal shift).
Correct answer is A.
The "mean" of a group of numbers is also called their "average".
To calculate the mean, add up all the numbers, then
divide the sum by the number of items on the list.
Step #1: Addum up: 3+7+2+9+4+7+3+7+5+2 = 49
Step #2: Count the number of items on the list: I count 10 .
Step #3: Divide the sum by the number of items on the list.
49 / 10 = 4.9
The mean (average) of the numbers on that list is 4.9 .
Answer:
0.0512
Step-by-step explanation:
We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.
The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x
In the above question,
x = 3
n = 5
p = probability for success = 0.2
q = probability for failures = 1 - 0.2 = 0.8
P(x) = (n!/(n - x) x!) × p^x × q ^n - x
P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3
P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²
P(3) = 10 × 0.008 × 0.64
P(3) = 0.0512
