Answer:
The line of symmetry is x=8
Step-by-step explanation:
Answer:
a. z = 2.00
Step-by-step explanation:
Hello!
The study variable is "Points per game of a high school team"
The hypothesis is that the average score per game is greater than before, so the parameter to test is the population mean (μ)
The hypothesis is:
H₀: μ ≤ 99
H₁: μ > 99
α: 0.01
There is no information about the variable distribution, I'll apply the Central Limit Theorem and approximate the sample mean (X[bar]) to normal since whether you use a Z or t-test, you need your variable to be at least approximately normal. Considering the sample size (n=36) I'd rather use a Z-test than a t-test.
The statistic value under the null hypothesis is:
Z= X[bar] - μ = 101 - 99 = 2
σ/√n 6/√36
I don't have σ, but since this is an approximation I can use the value of S instead.
I hope it helps!
Answer:
1/8
Step-by-step explanation:
coin toss is 1/2, probability of getting an ace of hearts is 1/4
therefore 1/2 x 1/4 = 1/8
Answer :Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
Step-by-step explanation:
Considering the quadrilateral with vertices
d(0,0)
i(5,5)
n(8,4)
g(7,1)
Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
From the figure a, it is clear that the quadrilateral has
Two pairs of sides
Each pair having two equal-length sides which are adjacent
The angles being equal where the two pairs meet
Diagonals as shown in dashed lines cross at right angles, and one of the diagonals does bisect the other - cuts equally in half
Please check the attached figure a.
Answer:
y=0, x=1
Step-by-step explanation:
6x-3y= -6 ...... equation 1
y =2x+2 ..... equation 2
subtract 2x from both sides
y-2x=2x-2x+2
y-2x=2
6x-3y= -6
y-2x=2
Rearrange
6x-3y= -6 ........x1
-2x +y=2............x3
6x-3y= -6
-6x +3y=2
0y=0
y=0
substitute y=0 in equation 1
6x-3xo= -6
6x= -6
x-6/6
x = -1
