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3 years ago

There are 7 cherries and 3 grapes in a bag. What is the pobability of selecting 2 grapes at random without replacement?

Mathematics

1 answer:

dlinn [17]3 years ago

3 0

Answer:

1/15

Step-by-step explanation:

7+3 = 10 items in the bag

P(grape) = grapes/total

3/10

No replacement

7 cherries 2 grapes = 9 items

P(grape) = grapes/total

2/9

P(grape, no replacement, grape) = 3/10*2/9

=1/15

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If there are tickets sold to children for $5 and $12 to adults, and there are only 400 tickets sold for $3925 then how many chil

Sever21 [200]

125 children tickets were sold

<u>Solution</u>:

Given that

Price of 1 ticket sold to children = $5

Price of 1 ticket sold to adult = $12

Total number of ticket sold = 400

Amount generated by selling 400 tickets = $3925.

Need to calculate number of ticket sold to children’s

Let’s assume number of tickets sold to childrens = x

So number of tickets sold to adults = 400 – x

Amount generated from x ticket sold to children $=x \times \text { Price of } 1 \text { ticket sold to children }$

$x \times 5=5 x$

Amount generated from (400 – x) tickets sold to adults $=x \times \text { Price of } 1 \text { ticket sold to adult }$

$=(400-x) \times 12=4800-12 \mathrm{x}$

<em>Total amount generated from 400 tickets = Amount generated from children’s tickets + Amount generated from adults ticket </em>

= 5x + (4800 – 12x) = 4800 -7x

As given that amount generated = 3965

=> 3965 = 4800 – 7x

Solving above expression to get value of x, we get

7x = 4800 - 3965

=> 7x = 875

=> x = 125.

Hence number of children tickets sold = 125.

4 0

3 years ago

Help please simplify this or these 4

amm1812

Answer:

Problem 1) 5/9

Problem 2) 47/144

Problem 3) 10

Problem 4) 16

Step-by-step explanation:

Problem #1:

lets start with the parentheses.

We need to open parentheses. We will use the distributive property.

1/4*1 = 1/4

1/4 * 2/3 = 1/6

now, we have 1/4 - 1/6^2 + 1/3 as our expression

Next, we deal with exponents 1/6^2 = 1/6 * 1/6 = 1/36

Our new equation is 1/4 - 1/36 + 1/3

Pretty simple from here

1/4 - 1/36 = 9/36 - 1/36 = 8/36

8/36 + 1/3 = 2/9 + 3/9 = 5/9

Problem #2:

This one is simpler than the last one.

Again, we have to start with parentheses.

1/3*1= 1/3

1/3 * 1/4 = 1/12

new equation is 1/3 - 1/12^2

exponents next.

1/12*1/12 = 1/144

1/3-1/144 = 48/144 - 1 144 = 47/144

Problem #3:

This one is even simpler.

As usual, open parentheses first.

-4*3=-12

-4*-1=4

Now, we have -4+12+2

-4+12=8

8+2 = 10

Problem #4:

This one is the simplest of all.

There are no parentheses, so we go to exponents.

4*4 = 16

new equation is 4 - 16 / 4 + 16

Next, we do division

16 / 4 = 4

new equation is 4 - 4 + 16

4 -4 = 0

0 + 16 = 16

3 0

3 years ago

I need some help on this ASAP please. Thanks!

Zigmanuir [339]

A. yes...it is a function because there is no repeating x values.
B. (5,2)(6,5)...slope = (5 - 2) / (6 - 5) = 3
y = mx + b
slope(m) = 3
(5,2)...x = 5 and y = 2
now we sub
2 = 3(5) + b
2 = 15 + b
2 - 15 = b
-13 = b
so the equation is : y = 3x - 13
when x = 7
y = 3(7) - 13....y = 21 - 13....y = 8

f(x) = 2x + 13...when x = 7
f(7) = 2(7) + 13...f(7) = 14 + 13.....f(7) = 27

the function has a greater value

C. f(x) = 2x + 13....when f(x) = 75
75 = 2x + 13
75 - 13 = 2x
62 = 2x
62/2 = x
31 = x

8 0

3 years ago

Multiply: 4x * root(3, 4x ^ 2) * (2 * root(3, 32x ^ 2) - x * root(3, 2x))

Salsk061 [2.6K]

Answer:

$32 {x}^{2} \sqrt[3]{ 2x } -8{x}^{3}$