Answer:
21 cm²
Step-by-step explanation:
A = (b + B)×h/2
= (5 + 9)×3/2
= 14×3/2
= 7×3
= 21 cm²
For any point to be in the first quadrant, it must have a positive "x" value and "y" value.
If x = 1 then y = 2, a point with both x and y positive values which would be in the First Quadrant.
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.
Answer:
Check the explanation
Step-by-step explanation:
Going by the first attached image below we reject H_o against H_1 if obs.
here obs.T=1.879
we accept at 5% level of significance.
i.e there is no sufficient evidence to indicate that the special study program is more effective at 5% level of significance.
1.
this problem is simillar to the previous one except the alternative hypothesis.
Let X_i's denote the bonuses given by female managers and Y_i's denote the bonuses given by male managers.
we assume that independently
We want to test
define
now
the hypothesis becomes
in the third attached image, we use the same test statistic as before
i.e at 5% level of significance there is not enough evidence to indicate a difference in average bonuses .