Answer:
The area of the rectangle = 50 cm^2.
Step-by-step explanation:
Let the shortest side of the rectangle be x cm.
Perimeter of the rectangle is:
2x + 2(x + 5).
Perimeter of the triangle = 3 * 2x.
As they have the same perimeter:
2x + 2(x + 5) = 3*2x
2x + 2x + 10 = 6x
6x - 2x - 2x = 10
2x = 10
x = 5 cm.
So the area of the rectangle = x(x + 5)
= 5 * 10
= 50 cm^2.
Answer:
exact form: -28/8
decimal form: -3.625
mixed number form: -3 5/8
Answer:
Null hypothesis:
Alternative hypothesis:
Alternatively we can express the system of hypothesis like this:
Null hypothesis:
Alternative hypothesis:
And the most reasonable choice for the options given it seems
C. H0: p = 0.004
H1: p > 0.004
Because in the null hypothesis we always need to have an equal sign and the optiosns A, B and D are not satisfying this condition
Step-by-step explanation:
For this test we are trying to test the following claim "the proportion of Americans that have seen a UFO, p, is less than 4 in every one thousand" and that would represent the alternative hypothesis. And by the complement rule we will have the null hypothesis.
Based on this the system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
Alternatively we can express the system of hypothesis like this:
Null hypothesis:
Alternative hypothesis:
And the most reasonable choice for the options given it seems
C. H0: p = 0.004
H1: p > 0.004
Because in the null hypothesis we always need to have an equal sign and the optiosns A, B and D are not satisfying this condition
Answer:
We must order these decimals from least to greatest. Then we must determine how the least compares with the winning score.
9.80 -> 3
9.75 -> 1
9.79 -> 2
9.81 -> 4
The least decimal is 9.75. Now we must determine how 9.75 compare with the winning score.
The last swimmer must get a score less than 9.75 seconds in order to win.
Answer:
Always consider the cost and the reliability of the sparse matrices.
Step-by-step explanation: