Answer:
19.2
Step-by-step explanation:
<u>1st Case:</u>
4 and 5 are legs of the right triangle.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+5^2=x^2
16+25=x^2
41=x^2
x=√41
√41 is about 6.4
x=6.4
<u>2nd Case</u>
5 is the hypotenuse of the right triangle and 4 is the legs.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+x^2=5^2
16+x^2=25
x^2=9
x=3
<u>Final Step</u>
We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2
Anwser: <u>19.2</u>
Answer: 0.3974
Step-by-step explanation:
Given : The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal.
Real annual returns on U.S. common stocks had mean :
Standard deviation :
We assume that the past pattern of variation continues.
Let x be the random variable that represents the annual returns on common stocks over the next 32 years .
The formula for z-score :
For x= 0.14,
By using the standard normal distribution table , we have
The probability that the mean annual return on common stocks over the next 32 years will exceed 14% :-
Answer:
288
Step-by-step explanation:
In the given expression, we can replace the given values for c and d
Since c is 3 and d is 4,
3c(-2)d(-4)
After substituting we multiply:
= 3*3*-2*-4*4
= (9)(-2*-4)*4
Two minuses become positive
So it'll be,
9*8*4
= 288
Here's ur answer
Answer:
- 6 units left and 4 up (if figure K translated)
- 6 units right and 4 units down (if figure J translated)
Step-by-step explanation:
<em>It is not clear which of the figures is translated.</em>
<em>Assume it is figure K.</em>
Use one of the points and compare the corresponding point.
<u>If you take bottom-left point, then the difference is coordinates is:</u>
- -7 - (-1) = -6, this is translation left by 6 units (or right if the figure J is translated)
- 2 - (-2) = 4, this is translation up by 4 units (or down if the figure J is translated)
<u>So the answer is </u>
- 6 units left and 4 up or, (figure K translated)
- 6 units right and 4 units down (figure J translated)
Answer:
here is the answer
Step-by-step explanation: