Answer:
x° = 60
Step-by-step explanation:
Vertically opposite angles are congruent, thus
x° = 60
<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
First of all, we need to plot the equation:
The graph of this equation is a parabola. The vertex of this parabola lies on the point (0, 1) and the x-intecepts are the points (-1, 0) and (1, 0). But the problem asks for the graph of<em> y greater than or equal to -x^2 + 1, </em>that is, the inequality:
To find this, we choose a point on the Cartesian plane, say, (0, 0) and let's take a look to the inequality:
So the region does't contain point (0, 0), therefore the graph is the one shown below.
If the value of μ is 65, σ is 5 and z is 1.14 then the value of possible voter age would be 70.6 years.
Given that value of μ is 65, σ is 5 and z is 1.14.
We have to calculate the possible voter age that can satisfy the given values of σ,μ and z.
We know that in z test,
z=X-μ/σ
in which μ is population mean,σ is population standard deviation.
We have to just put the values in the above formula to get the value of X which is our possible voter age.
Putting the values we get,
1.14=x-65/5
5.7=X-65
X=65+5.7
X=67.7
Hence the possible voter age is 67.7 which would satisfy the value of μ=65,σ=5 and z=1.14.
Learn more about z test at brainly.com/question/14453510
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Answer:
Upper confidence level (UCL) = 29367.875
Lower confidence level (LCL) =23061.064
Step-by-step explanation:
Given : sample mean=26214.47
sample standard deviation=5969.25
sample size=15
degree of freedom=14
t critical value for 94% confidence with 14 degree of freedom=2.046
To Find : Upper confidence level (UCL) =?Lower confidence level (LCL) =?
Solution:
Formula for confidence interval =
sample mean= =26214.47
sample standard deviation = s =5969.25
sample size = n =15
t critical value for 94% confidence with 14 degree of freedom =2.046
Substitute the values in the formula :
confidence interval =
confidence interval = to
confidence interval = to
Hence Upper confidence level (UCL) = 29367.875 and Lower confidence level (LCL) =23061.064
Answer:
Distance = 8
Step-by-step explanation: