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bulgar [2K]
3 years ago
5

Dori charges 60 customers £1 to play a game. The probability of a customer winning is 0.35 and the prize is £2. How many of the

60 customers can Dori expect to win and how much profit will Dori make?
Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

21 people will win, so the profit will be £18

Step-by-step explanation:

0.35 x 60 = 21

21 x 2 = 42 (the amount of money to give away to prize winners)

If 60 people enter, she has £60. Subtracting £42 in winning payouts from this leaves her with a £18 profit.

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At an amusement park, a group of 154 people wants to ride the roller coaster. If each car on the roller coaster holds 9 people,
Vsevolod [243]

Answer:

1

Step-by-step explanation:

you simply divide 154 by 9, get around 17.1. 17 is the closest whole number answer, so 17*9 is 153.

do 154-153, you get 1.

not the best explaination but i hope it helps.

6 0
3 years ago
What is the distance between point A(-3,2) and point B(5,-1)
Gnoma [55]

Remember the distance formula

S=\sqrt{(5+3)^{2}+(-1-2)^{2} }

S=\sqrt{8^{2}+(-3)^{2} }

S=\sqrt{64+9}

S=\sqrt{73}


8 0
3 years ago
Write an expression/equation/inequality represented by the following statements. NO NEED TO SOLVE
serious [3.7K]

Answer:

a. n - 11 \le 14

b. 5n - 10 < 4(n - 8)

Step-by-step explanation:

a. A number decreased by 11 is at most 14.

n - 11 \le 14

b. Ten less than five times a number is less than four times the number decreased by eight.

5n - 10 < 4(n - 8)

8 0
3 years ago
Expression for all solutions to the equation cos(theta) = 1 + 3cos(theta)
OleMash [197]
\cos\theta=1+3\cos\theta\implies 0=1+2\cos\theta\implies \cos\theta=-\dfrac12

On the unit cirlce, the cosine of an angle is negative whenever the angle falls in the interval \dfrac\pi2.

If you recall your special triangles, this cosine occurs for angles of x=\dfrac{2\pi}3 and x=\dfrac{4\pi}3.

More generally, this occurs for x=\dfrac{2\pi}3+2n\pi and x=\dfrac{4\pi}3+2n\pi, where n is an integer.
7 0
3 years ago
1. The graph of every exponential function f(x)= ax, a&gt;0, a≠1, passes through what three points(in terms of a)? Explain.
Anvisha [2.4K]
The exponential function
f(x) = a^x
can pass through all points as long as x is any real number

As an example, we can choose values of x.
x = -4, x = 0, x=100

The value of the function in terms of a would be
f(-4) = a^-4
f(0) = a^0 = 1
f(100) = a^100
3 0
3 years ago
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