Perimeter= 2(length+width)
60= 2(l+w)
l=2w
Substitution method
60= 2(2w+w)
60= 2(3w)
30= 3w
10= w
Plug the value of w in.
l= 2(10)
l=20
Final answer: Length= 20, width=10
Answer:
hi
Step-by-step explanation:
Answer:
0.16
Step-by-step explanation:
This probability is the area under the standard normal curve to the right of 82. Note that 82 is ONE standard deviation above the mean: 75 + 7 = 82.
According to the Empirical Rule, 68% of data lies within one standard deviation of the mean. In other words, 34% lies between the mean and one standard deviation above the mean. The remaining area under the standard normal curve is thus (100% - 68%), or 32%. Half of that is 16%.
The probability that the temperature is above 82, or above 1 standard deviation above the mean, is 16%, which we can also express as 0.16.
Alternatively, use a calculator with built-in statistical functions. In this case the desired result is found by executing the following command:
normcdf(82, 10000, 75, 7). The desired result is 0.1587, or approximately 0.16.
Answer:
x=23.2
Step-by-step explanation:
because 3 is the opposite and 7 is the adjacent, we can use tangent (opposite over adgacent) so 3/7 = tan(x) then you take the inverse tangent of both sides to get inversetangent(3/7)=x and then you plug that in the calculator and get that x is 23.2
Answer:

Step-by-step explanation:
we know that
The solution of the inequality of the dotted red line is the shaded area above the dotted line
The dotted red line is parallel to the solid gray line
The equation of the solid gray line is equal to
----> given line
The slope of the solid gray line is m=-2
Remember that
If two lines are parallel, then their slopes are the same
therefore
The slope of the dotted red line is m=-2
The y-intercept of the dotted red line is b=2
Find the equation of the dotted red line in slope intercept form

we have

substitute

Remember that the solution is the shaded area above the dotted red line
therefore
