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Irina-Kira [14]
3 years ago
15

X is a random independent variable with mean 20 and standard deviation of 5. Also suppose that y is a random independent variabl

e with mean of 40 and standard deviation 10. Find the variance and standard deviation of the random variable Z = 2 + 10x
Mathematics
1 answer:
klio [65]3 years ago
4 0
The variable equals 4.
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Craign has a building block in the shape of a rectangular pyramid .A net of which is shown below.If a measures 12 cm b measures
svetoff [14.1K]

Answer:

<h3>Option  D) 294 sq cm is correct</h3><h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3>

Step-by-step explanation:

First we have to split the net into 4 triangles and 1 rectangle

Given a = 12 cm ,b =  6 cm and d = 13 cm

<h3>To find the surface area of the rectangular pyramid:</h3>

Now find the area of the rectangle base

Rectangle base area=b\times a

= 6\times 12

= 72 sq. cm

<h3>∴ Rectangle base area=72 sq cm</h3>

Now to find the area of the triangle on the left

Left triangle=\frac{1}{2}(b)(d)

=\frac{1}{2}(6)(13)

= 39 sq cm

<h3>∴ Left triangle=39 sq cm</h3>

Since all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left and right triangles= 2(39)

=78 sq cm

<h3>∴ Area of left and right triangles=78 sq cm</h3>

Find the area of the triangle on the bottom

Bottom triangle area=\frac{1}{2}(a)(a)

=\frac{1}{2}(12)(12)

= 72 sq cm

<h3>∴ Bottom triangle area=72 sq cm</h3>

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles=2 (72)

= 144 sq cm

<h3>∴ Area of top & bottom triangles= 144 sq cm</h3>

Finally add the area of the 4 triangles to the area of the rectangular base we get

=72 + 78 + 144

= 294 sq cm

<h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3><h3>∴ option D) 294 sq cm is correct.</h3>
7 0
3 years ago
“40% of what number is 34?”
zepelin [54]
85. i provided a picture just incase you needed your work shown.

4 0
3 years ago
Read 2 more answers
Y=5(x-2)(x+1) in standard form
Harrizon [31]
5(x²+x-2x-2)
5(x²-x-2)
5x²-5x-10 

you can also simplify to  x²-x-2. 
6 0
3 years ago
(a)
mamaluj [8]

Answer:

10=16[ by cost]

Step-by-step explanation: the cost of 10 chairs is x.

the cost 16 chairs is also x. 10x = 16x

4x is loss.

Profit or Gain = Selling price – Cost price. Loss = Cost price – Selling price. Profit Percentage = [Profit/C.P.]×100. Percentage Loss = [Loss/C.P.]×100.

In simple way, we can say that sp- cp[ when it is a gain], cp -sp[ when it is a loss]. here it is a loss as well as a gain. so do both according to the formula

3 0
3 years ago
An ice cream sells 4 drinks, in 5 sizes, and 7 flavors. How many ways can a customer order a drink?
tigry1 [53]

Answer:

140 ways

Step-by-step explanation:

4 x 5 x 7 = 140

3 0
3 years ago
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