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Ymorist [56]
3 years ago
14

A radio station runs a promotion at an auto show with a money box with 12 ​$25 ​tickets, 11 ​$5 ​tickets, and 10 ​$1 tickets. Th

e box contains an additional 20 ​"dummy" tickets with no value. Find the probability that three ​$25 prizes are chosen.
Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

P(three ​$25 prizes are chosen)=\frac{12}{53}

Step-by-step explanation:

A radio station runs a promotion at an auto show with a money box with 12 ​$25 ​tickets, 11 ​$5 ​tickets, and 10 ​$1 tickets.

20 dummy tickets

total tickets = 12+11+10+20=53

3 $25 prizes are chosen

there are 12 , $25 tickets

probability = number of occurrences / total occurrences

P(three ​$25 prizes are chosen)=\frac{12}{53}

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
Anettt [7]

Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

6 0
3 years ago
HELP PLS!!! find x and y please show steps
loris [4]

Answer:

<h3>            x = 7 ,   y = 7√2</h3>

Step-by-step explanation:

The sum of measures of angles in triangle is 180°

so:

180° - 90° - 45° = 45°

two angles angles of the same measure, that means: x = 7

so:

      7^2+7^2=y^2\\\\y^2=7^2\cdot2\\\\y=\sqrt{7^2\cdot2}\\\\\bold{y=7\sqrt2}

4 0
2 years ago
Maria works as a part- time waitress and earns $30 per day plus 2% of all sales of food and drinks during the day
ollegr [7]

Answer:

y = 30 + 0.02x

Step-by-step explanation:

Required

Write an equation to present her daily earnings?

Let daily sales be represented by x and daily earnings be represented by y.

y is calculated as thus;

y = Earnings + Commission * Sales

y = 30 + 2\% * x

Convert percentage to decimal

y = 30 + 0.02 * x

y = 30 + 0.02x

Hence, her daily earnings is y = 30 + 0.02x

5 0
3 years ago
E = {1, 2, 3, 4, 5, 6, 7, 8, 9
statuscvo [17]

Answer:

In the A circle: 1,3,8

In the B circle: 2

In the middle: 4,9

In the outside: 5,6,7

Hope this helps!

4 0
3 years ago
Marti had of a pizza remaining after
o-na [289]
I think it is 1/2
hope this helped
8 0
3 years ago
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