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oksano4ka [1.4K]
1 year ago
13

Find the area of the figure. PLEASE HELP I NEED IT URGENT PLEASE

Mathematics
2 answers:
o-na [289]1 year ago
6 0

Answer:

5. 45.5

8. 75

Step-by-step explanation:

5. Area of larger right triangle: AB/2

Given A = 7, B = 18

A = 7(18)/2 = 63

Area of smaller right triangle: AB/2

Given A = 7, B = 18 - 13 = 5

A = 7(5)/2 = 17.5

So the area of the shaded triangle is 63 - 17.5 = 45.5

8. Area = area of triangle + area of rectangle

Triangle: A = HB/2 = (3 x 10)/2 = 15

Rectangle: A = lw = 10 x 6 = 60

15 + 60 = 75

Hope this help

ale4655 [162]1 year ago
5 0

Answer:

#5

Area = Area of bigger triangle - Area of small triangle

{ \rm{area = ( \frac{1}{2}  \times b_{b}  \times h_{b}) - ( \frac{1}{2} \times b_{s} \times h _{s} )}} \\  \\ { \tt{area = ( \frac{1}{2} \times 18 \times 7) - ( \frac{1}{2} \times (18 - 13) \times 7)  }} \\  \\ { \tt{area = (9 \times 7) - (2.5 \times 7)}} \\  \\ { \underline{ \tt{ \:  \: area = 45.5 \:  \: sq \: units \:  \: }}}

#8

Area = area of square + area of two right angled triangles

{ \tt{area = (s \times s) + 2( \frac{1}{2}  \times b \times h)}} \\  \\ { \tt{area = (6 \times 10) + (3 \times 5)}} \\  \\ { \underline{ \tt{ \:  \: area = 75 \:  \:  {m}^{2}  \:  \: }}}

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< - 5, 3.5 >

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I have 100 items of product in stock. The probability mass function for the product's demand D is P(D=90)=P(D=100)=P(D=110)=1/3.
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Answer:

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

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If the demand is higher than 100, then you will sell 100 items only. Thus, there is a probability of 1/3+1/3 = 2/3 that you will sell 100 items, while there is a probability of 1/3 that you will sell 90.

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b) If order to be unfilled demand, you need to have a demand of 110, which happens with probability 1/3. In that case, the value of the variable, lets call it Y, that counts the amount of unfilled demand due to lack of stock is 110-100 = 10. In any other case, the value of Y is 0, which would happen with probability 1-1/3 = 2/3. Thus

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