Answer:
2.897
Step-by-step explanation:
Let us find the mean and variance for the sample first.
105 104 110 112
114 106 108 109
Mean = sum/8 = 108.5
Variance = 12
Std dev = sq rt of variance = 3.464
Std error = std dev/ sq rt n
since n =8, we get std error = 1.225
Since sample size is small, df =8-1 =7
For 95% confidence intervals, t critical value for two tailed=2.365
Margin of error = std error x t critical = 1.225(2.365)
=2.897
<span>5<span>2–√ i would believe</span></span>
Answer:
Step-by-step explanation:
180 - 152 = 28
2x + 28 = 180
2x = 152
x = 76
Answer:
(x +4)^2 + (y-2)^2 = 16
Step-by-step explanation:
We can write the equation for a circle with the formula
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
We know the center is at (-4,2) and the radius is 4
(x- -4)^2 + (y-2)^2 = 4^2
(x +4)^2 + (y-2)^2 = 16
Answer: 5.196152423
Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.
I didn't round any of the numbers. Hopefully this is correct.
Sorry about the messy diagrams (never been good at creating them) and how long it took.
