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grigory [225]
3 years ago
12

The surface area of a rectangular prism is the sum of:

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

Surface area of prism=2(l+w)h+2(lw)

Step-by-step explanation:

We are given that surface area of rectangular prism=2(lw+lh+wh)

We have to write an expression that represents the surface area of prism.

Base of prism is made from length and width

Perimeter of base =2(l+w)

Area of base=lw=Area of top

Surface area of prism=Perimeter of base multiply by height+2 area of base

Because area of base and area of top are equal.

Surface area of prism=Ph+2B=2(l+w)h+2(lw)

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Roger's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 135 regular sodas and 45 diet s
kozerog [31]

Answer:

75% served are regular

Step-by-step explanation:

135+45 =  180 total sodas.

135/180 =  0.75

3 0
2 years ago
If $1500 is invested at an interest rate of 4.75% per year, compounded quarterly, find the value of the investment after the giv
Burka [1]
After n years the amount = 1500(1 + (0.0475/4)^4n
7 0
3 years ago
The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is
alexira [117]

Answer:

a) And if we replace we got: \bar X= 78

s = 15.391

b) 78-3.25\frac{15.391}{\sqrt{10}}=62.182    

78-3.25\frac{15.391}{\sqrt{10}}=93.818    

So on this case the 99% confidence interval would be given by (62.182;93.818)    

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And if we replace we got: \bar X= 78

And the deviation is given by:

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And if we replace we got s = 15.391

Part b

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=10-1=9

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that t_{\alpha/2}=3.25

Now we have everything in order to replace into formula (1):

78-3.25\frac{15.391}{\sqrt{10}}=62.182    

78-3.25\frac{15.391}{\sqrt{10}}=93.818    

So on this case the 99% confidence interval would be given by (62.182;93.818)    

8 0
2 years ago
Add gift box in the shape of a triangular prism has a volume of 140 in.³, that a base height of 10 inches, and a height of 4 inc
fenix001 [56]
140=10*4*x
140=40*x
7/2 = x

3.5 inches
5 0
3 years ago
Passes through the points (−4, 2) and (12, 6)?
svlad2 [7]

<u>I'll assume you need to find the equation of the line that passes through those points.</u>

Answer:

\displaystyle y-2=\frac{1}{4}(x+4)

Step-by-step explanation:

<u>Equation of a Line:</u>

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The given points are (-4,2) and (12,6), thus:

\displaystyle y-2=\frac{6-2}{12+4}(x+4)

Operating:

\displaystyle y-2=\frac{4}{16}(x+4)

Simplifying, the equation in point-slope form is:

\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}

3 0
2 years ago
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