Answer:70
Step-by-step explanation:
Do 21 divided by 3 = 7 . 7 = 10% so 7 x 10= 70
14 = 3x - 7
Subtract 7 from both sides.
7 = 3x
Divide both sides by 3
2.333333 = x
The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Given that the end points of line segment are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.
Line segment is a collection of points which when together joined joins two points on a surface.
The coordinates of point dividing a line segment with end points and ratio m:ncan be calculated using the below given formula:
(X,Y)=.
We have to just put the values in the above formula to get the coordinates.
(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)
=(50+1/6,15-2/6)
=(51/6,13/6)
=(17/2,13/6)
Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
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Answer:
Correct option is (A). <em>H₀</em>: = 0.5
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for a population parameter can be used to determine whether to reject a null hypothesis or not.
The decision rule is:
If the (1 - <em>α</em>)% confidence interval for a population parameter consists of the null value of the parameter then the null hypothesis will be accepted or else it will be rejected.
A hypothesis test is performed to determine the difference between the ideal and actual heights of college males.
The 95% confidence interval for the mean difference, is:
CI = (0.8, 2.2)
The four null hypothesis provided are:
- H₀: = 0.5
- H₀: = 1.0
- H₀: = 1.5
- H₀: = 2.0
The 95% confidence interval for the mean difference consists of the value, 1.0, 1.5 and 2.0.
But it does not consist the value 0.5.
So, the null hypothesis that can be rejected is:
<em>H₀</em>: = 0.5
Thus, the correct option is (A).
Answer:
-81i
Step-by-step explanation:
(-3i)^3(-3)=-81i