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otez555 [7]
3 years ago
9

20 customers are eating at a local resturan. of the 20 customers 4 have enough to pay cash, 16 have enough to pay card and 3 hav

e enough to pay cash and card, what is the probability that a customer has enough cash
Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Answer:

7/20

Step-by-step explanation:

There are 20 customers (the denominator) and 7 can pay cash (the numerator)

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In circle E with m DEF 36 and DE = 3 units find area of
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Answer:

A ≈ 2.83 units²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{36}{360}

   = π × 3² × \frac{1}{10}

    = \frac{9\pi }{10}

   ≈ 2.83 units² ( to the nearest hundredth )

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3 years ago
The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the
omeli [17]
Given:

The volume of the rectangular prism is 

b^{3}+8 b^{2} +19b+12,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be (mb^{2}+nb+k)

 
2

b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)


notice that  b^{3} is the product of the largest 2 terms: mb^{2} and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)


(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12

== b^{3}+(n+3)b^{2}+(3n+4)b+12


4
now compare the coefficient with the left side:

8 b^{2}=(n+3)b^{2}

8=n+3

n=5


substituting n=5: 

the base area is b^{2}+5b+4

Answer: b^{2}+5b+4


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3 years ago
The drama department was considering two options for the winter production. They used the following equations to represent the p
stellarik [79]

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

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The inequality x ≥ -3 is satisfied by point (0, -2).<br> True<br> False
denpristay [2]
This inequality is true doll!!
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3.5 x 10^3 divided by 7 x 10^-2
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5 · 10^{4}

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