k = 18
the common difference d of an arithmetic sequence is
d = a₂ - a₁ = a₃ - a₂ = ....
a₂ - a₁ = 2k - 1 - k - 9 = k - 10 and
a₃ - a₂ = 2k + 7 - (2k - 1) = 2k + 7 - 2k + 1 = 8, hence
k - 10 = 8 ⇒ k = 8 + 10 = 18
the 3 consecutive terms are
27, 35, 43
The mean is not needed to make a box plot.
I hoped this helped!
Given:
Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.
To find:
The theoretical and experimental probabilities of the coin landing tails up and compare them.
Solution:
We know that, the coin landed either heads up or tails up. So, the theoretical probabilities of the coin landing tails up is



Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.
Total = 80
Tails =36
The experimental probabilities of the coin landing tails up is



Therefore, the theoretical and experimental probabilities of the coin landing tails up are 0.5 and 0.45 respectively. The theoretical probability is greater than the experimental probability.
Answer:
The answer is option A
Step-by-step explanation:
Equation of a line is y = mx + b
where
m is the slope
b is the y intercept
From the question
b / y intercept = 3
m / slope = 1
Substitute these values into the below equation
y = mx + b
We have the answer as
y = x + 3
Hope this helps you
If you reflect across the x-axis, you change the sign on the y-coordinate
So...
P(4, 7) ---> P'(4, -7)
Q(8, -1) ---> Q'(8, 1)
R(-9, 6) ---> R'(-9, -6)
The answer is D