Answer:
length: 16 m; width: 13 m
Step-by-step explanation:
Write each of the statements as an equation. You know that the formula for the perimeter is ...
P = 2(L +W)
so one of your equations is this one with the value of P filled in:
• 2L + 2W = 58
The other equation expresses the relation between L and W:
• L = W +3 . . . . . . . . the length is 3 meters greater than the width
There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...
2(W+3) +2W = 58
4W +6 = 58 . . . . . . . simplify
4W = 52 . . . . . . . . . . subtract 6
W = 13 . . . . . . . . . . . .divide by 4
We can use the expression for L to find its value:
L = 13 +3 = 16
The length is 16 meters; the width is 13 meters.
Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average 
is:
The standard deviation 
is:
The Z-score is:
We seek to find
For P(x>800) The Z-score is:
The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
For P(x<200) The Z-score is:
The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
Therefore
If you mean, what is 4x = 97......
4x = 97 -Divide both sides by 4
4x / 4 = 97 / 4
x = 24.25
Hope this helps you! Have a happy Thanksgiving, here's a turkey!
You must find the factors of each number...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6
Next, determine the common multiple...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6
Therefore, the most groups Lavinia can make without any glasses or mugs left to spare is 3.
