Hey there! I'm happy to help!
To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!
First, we'll add our two x-values.
-6-0= -6
We square it, which means to multiply it by itself.
-6(-6)=36 (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)
Now, we do the same with the y-values.
-2-(-1)=-1 (two negatives make it a plus, as in minus minus 1 is plus one.)
We square it.
-1(-1)=1
Now, we add these x and y value differences.
36+1=37
Now, we find the square root using a calculator.
√37≈6.08
Have a wonderful day!
Answer:
CI 95%(μ)= [13.506 ; 14.094]
Step-by-step explanation:
The confidence interval (CI) formula is:
CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]
alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%
Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96
σ= standard deviation. In this case 0.75 day
mean= 13.8 days
n= number of observations
. In this case 25
Then, the confidence interval (90%) is:
CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]
CI 95%(μ)= 13.8+- [1.96*(0.75/5)
]
CI 95%(μ)= 13.8+- (0.294)
CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]
CI 95%(μ)= [13.506 ; 14.094]
Answer lit
Step-by-step explanation:
Number of darts that hit the bull's eye = 15 x 40/100 = 6
Number of darts that did not hit the bull's eye = 15 - 6 = 9
Answer:
7.17 cm
Step-by-step explanation:
If the width is x, the length is twice this = 2x
And
Perimeter = 2 (W + L)
so
Perimeter = 2 ( x + 2x)
Perimeter = 2 (3x)
Perimeter = 6x
43 = 2 ( x + 2x )
43= 2 ( 3x)
43 = 6x
= 7.17 cm
Hope this helps i'm pretty sure this is how you do it :-)
