The surface area of the geometric shape is B. 840 cm².
Step-by-step explanation:
Step 1:
The given figure is made up of three rectangles and two triangles.
The surface area of the geometric shape is given by summing the individual surface areas.
The geometric shape's surface area = The sum of the individual surface areas.
Step 2:
The surface area of the rectangles is the multiplication of its length and width.
The surface area of the rectangle with length z and width x 
.
The surface area of the rectangle with length y and width x 
.
The surface area of the rectangle with length x and width x 
.
Step 3:
The area of a triangle is half the product of its base length and height.
The surface area of a triangle with base y and height x
.
They are two similar triangles so their areas are equal
Step 4:
The geometric shape's surface area 
.
So the surface area is option B. 840 cm².
Answer:
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 1.314
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 34.6 - 0.646 = $33.954
The upper end of the interval is the sample mean added to M. So it is 34.6 + 0.646 = $35.246
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
Answer:
x and y = 0
the question looks weird and almost wrong because when you subtract the equations, you are left with nothing
Step-by-step explanation:
Multiply the top equation by 3 to make the -x a -3x instead.
Then do the top equation - the bottom equation
At this point you should be left with x
Answer:
h(x) = (x + 4)^2 - 2
Step-by-step explanation:
Start with the red graph: f(x) = x^2
First we move the entire graph 4 units to the left. The resultant function is g(x) = (x + 4)^2.
Next, we move this latest graph 2 units down. The resultant function (and answer to this question) is h(x) = (x + 4)^2 - 2
<span>There are 47,124 different committees you can select.
Explanation:The number of combinations of 9 teachers taken 3 at a time is given by
</span>
<span>
The number of combinations of 34 students taken 2 at a time is given by
</span>
<span>
Together this makes 84*561 = 47124 combinations.</span>
