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3 years ago

Two lines, A and B, are represented by the equations given below:

1 answer:

4 0

Given:
Line A: 2x + 2y = 8
Line B: x + y = 4

x = 4 - y
2(4-y) + 2y = 8
8 - 2y + 2y = 0
0 = -8

y = 4 - x
2x + 2(4-x) = 8
2x + 8 - 2x = 8
0 = 0

There is no solution.

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A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

Answer-

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

Solution-

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago

The function y=5x+10 represents the total cost y of a group of x members to go paintballing.

never [62]

Answer:

The independent variable (x) represents the members to go paintballing.

The dependent variable (y) represents the total cost.

Step-by-step explanation:

The y is always dependent on the x. The number of people attending affects the total cost of the trip. The more people attend, the more it costs.

3 0

3 years ago

Louis has three more quarters than dimes for a total of $1.80. What equation can you use to determine how many dimes,x, in his p

elixir [45]

0.10x + 0.25(x + 3) = 1.80

3 0

2 years ago

Read 2 more answers

If the customer rolls the dice and rents a second movie every Thursday for 20 consecutive weeks, what is the total amount that t

VMariaS [17]

Answer:

The expected amount for a duration of 20 weeks is $9.4

Step-by-step explanation:

Read attachment to understand the complete question

From the question, we have the following given parameters:

x = Amount paid for a second movie

$E(x) = 0.47$ --- Expected value of x

$SD(x) = 0.15$ --- Standard deviation of x

Required

Determine the total amount paid for a second movie for 20 weeks

The required implies that we calculate the expected value for a duration of 20 weeks.

i.e.

$n = 20$

$E(x) = 0.47$

Then:

$E(nx) = n * E(x)$

Substitute 20 for n

$E(20x) = 20 * E(x)$

Substitute 0.47 for E(x)

$E(20x) = 20 * 0.47$

$E(20x) = 9.4$

Hence, the expected amount for a duration of 20 weeks is $9.4

6 0

3 years ago

Sam visited the mall to purchase a shirt and a pair of shoes. The price of the shirt is $12.72. The price of the pair of shoes i

kodGreya [7K]

Answer:

The total cost of commodities = $61.82

Step-by-step explanation:

Sam visited the mall to purchase a shirt and a pair of shoes. The price of the shirt is $12.72. The price of the pair of shoes is $44.00.

The tax rate in the shop = 9%.

We have to find the total price Sam has to pay.

The total cost of the shirt and the pair of shoes = 12.72 + 44 = $56.72

Now there is tax of 9%.

So the cost becomes 1.09 times the initial value.

Hence the final price = 56.72 $\times 1.09$

= $61.82

The final price of shirt and shoes = $61.82

3 0

3 years ago