Has a height of 12, because 12*9*5=180
Answer:
D
Step-by-step explanation:
This is your answer because first you have 3x10-6 and 2x1030 what you have to do is that first you multiply 3 x 2 equals to 6 then, 10 x 1 = 10 then you have to multiply 30 x 6 = 180 then you put it together and your answer is 6x10-180
Hope this helps :)
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Answer:
So the answer for this case would be n=94 rounded up to the nearest integer
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The confidence2 level is 98% or 0.98 then the significance level would be
and
, the critical value for this case would be
, replacing into formula (b) we got:
So the answer for this case would be n=94 rounded up to the nearest integer
Answer:
7 square units
Step-by-step explanation:
As with many geometry problems, there are several ways you can work this.
Label the lower left and lower right vertices of the rectangle points W and E, respectively. You can subtract the areas of triangles WSR and EQR from the area of trapezoid WSQE to find the area of triangle QRS.
The applicable formulas are ...
area of a trapezoid: A = (1/2)(b1 +b2)h
area of a triangle: A = (1/2)bh
So, our areas are ...
AQRS = AWSQE - AWSR - AEQR
= (1/2)(WS +EQ)WE -(1/2)(WS)(WR) -(1/2)(EQ)(ER)
Factoring out 1/2, we have ...
= (1/2)((2+5)·4 -2·2 -5·2)
= (1/2)(28 -4 -10) = 7 . . . . square units
Since triangle ADE is similar to triangle ABC and the scale factor is 2, the following relation must be fulfilled:

The, by substituting the given information, we have

By multiplying both sides by x+2, we get

which gives

Then, by subtracting 4x to both sides, we have

and by adding 8 to both sides, we obtain

then, x is given by

Then, by substitutn