Answer:
x = 5.25
Step-by-step explanation:
width = x
length = (x + 8)
length that overlaps with width = (x + 8) - x = 8
perimeter (clockwise)
= 90
= x + 8 + (x + 8) + x + (x + 8) + x + 8 + (x + 8) + x + (x + 8)
= 8x + 6(8)
= 8x + 48
8x + 48 = 90
8x = 42
x = 5.25
Answer:
Part A: 81.5%
Part B: About 95% of the data lie between 53 and 65.
Step-by-step explanation:
Note: the percentages marked in red and blue never change
For Part A, we add the percentages that are between 53 and 62. So, 34% + 34% + 13.5% which is 81.5%
For Part B, we can look at this graph and seen that 95% of this data set lies between 53 and 65
Hope this is correct and of help!
Answer:

Step-by-step explanation:
we have

solve for x
Divide both sides by 8


Apply log both sides

Applying logarithmic property




9514 1404 393
Answer:
x = 39
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.
x² +80² = 89²
x² = 89² -80² = 7921 -6400 = 1521
x = √1521
x = 39
Answer:
D
Step-by-step explanation:
Probability is, by definition, a number between 0 and 1, which can be expressed as a fraction or a percentage. For example, the odds of getting heads if you throw a fair coin are 50%, or ½. The odds of not getting heads are 1-½=½.
If the probability of something happening is 1, it means that that thing will happen for sure. Likewise, if the probability of an event is 0, it means that the event will never happen.
You can therefore easily understand that it doesn't make sense to have a probability greater than 1, as we have in choice D.