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:
Consider a right angle triangle ABC such that B =90 degree as shown in figure given below with all the three sides labelled.
let
Sum of all the measures of an angle in a triangle is 180 degree.
In triangle ABC
or
Simplify:
The side AC (Hypotenuse) = 10 cm
Now, find the other sides i.e, AB and BC;
Using Sine rule
In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse side.
then
or
or
Simplify:
AB = 6.4278761 ≈ 6.43 cm
Now,by using tangent rule to solve for BC
In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
then;
or
or
Simplify:
BC = 7.66044443≈ 7.66 cm
therefore, the sides AB and BC of the triangle ABC are 6.43(approx) and 7.66(approx.)
Answer:
That is impossible to answer
Step-by-step explanation:
That is impossible to answer
I can not tell you because there is no number line
Answer:
y=2
Step-by-step explanation:
1/3(y+7)=3(y-1)
1) Distribute 1/3 to y+7, and distribute 3 to y-1:
1/3y+7/3=3y-3
2) Add 3 to both sides:
1/3y+16/3=3y
3) Subtract 1/3y from both sides:
16/3=8/3y
4) Multiply both sides by the reciprocal of 8/3: (3/8)
y= 48/24
5) Simplify:
y=2
Answer:
In geometry, a translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. This is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.