Answer:
Mean: 3.5263157894737
Median: 3
Mode: 3
Step-by-step explanation: The mode is 3 because the mode is for which number pops up the most, which is 3.
I got the median by crossing out 8 from the left and the right of the number set and got 3 as the last number.
I got the mean by adding up all the numbers and divided it by the amount of numbers in the set.
Answer:
The value of a₂₇ is 788
Step-by-step explanation:
a₁₉ = 548
a₃₃ = 968
Now,
a₁₉ = 548 can be written as
a + 18d = 548 ...(1) and
a₃₃ = 968 can be written as
a + 32d = 968 ...(2)
Now, from equation (2) we get,
a + 32d = 968
a + 18d + 14d = 968
548 + 14d = 968 (.°. <u>a + 18d = 548</u>)
14d = 968 - 548
14d = 420
d = 420 ÷ 14
d = 30
Now, for the value of a put the value of d = 30 in equation (1)
a + 18d = 548
a + 18(30) = 548
a + 540 = 548
a = 548 - 540
a = 8
Now, For a₂₇
a₂₇ = a + 26d
a₂₇ = 8 + 26(30)
a₂₇ = 8 + 780
a₂₇ = 788
Thus, The value of a₂₇ is 788
<u>-TheUnknownScientist</u>
Answer:
Answer is 6(3 d+2)
Step-by-step explanation:
It is given the expression as 18d+12
Let's find common factor by prime factoring the terms.
18 d =2*3*3*d
12= 2*2*3
Common factors for both terms are 2, 3.
So, G C F = 2*3=6
Take out 6 from both terms to factor further.
We do get 6(3 d+2)
The fraction 1/2 converts to 0.50 in decimal form.
The mixed number 15 & 3/4 is the same as 15.75
If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.
Multiply by 8 to find the total number of pizzas possible.
8*15.25 = 122
<h3>Answer: Calvin can make 122 pizzas overall if he is distracted</h3>
A scaled version means that our leading coefficient will change. Let's set up an equation to find our leading coefficient, a.
g(x) = a * x^2
Now that we have our equation, we need a point that is on g(x). The point given is (4,8). Let's use that point and plug x and y into our equation so that we can solve for a.
8 = a * (4)^2
8 = a * 16
a = 1/2
All that's left to do is plug in our a value into g(x).
g(x) = 1/2 x^2
Hope this helps!! :)
