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DochEvi [55]
2 years ago
10

A college is hosting an invention camp for middle school students. One of the 1,200 students who attend will receive a laptop at

the
end of the camp. The college wants to place notecards labeled with each student's name in a bin and draw a winner from the bin. The
bin will hold only 200 notecards though.
Which method assures both that the college can use the bin for the drawing and that each student has a fair chance of winning?
Place notecards labeled with the names of the oldest 200 students into the bin. Randomly select the winner from the bin.
O Place notecards labeled with the names of the first 200 students who registered for the camp into the bin. Randomly
select the winner from the bin.
Randomly assign the 1,200 students to 10 equal-sized groups. Then randomly select 4 of the groups and place their
names in the bin. Randomly select the winner from the bin.
Randomly assign the 1,200 students to 6 equal-sized groups. Then select one of the groups and place their names in the
bin. Randomly select the winner from the bin.
Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
7 0

Answer: Randomly assign the 1,200 students to <u>6 equal-sized</u> groups. Then select one of the groups and place their names in the bin. Randomly select the winner from the bin.

Step-by-step explanation:

     First, let us see how many bins we will need in total.

1,200 students / 200 notecards per bin = 6 bins

     Now, the first two options do not give all students a fair chance of winning. They are not our answer.

     The last two have a different number of groups. Looking at the calculation we did earlier, we will need 6 equal-sized groups. This means our answer is the last option.

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In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, an
ArbitrLikvidat [17]

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate = 8\frac{1}{2}\%=8.5\%

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

= \frac {8.5}{100}\times 12.99

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

= \frac {8.5}{100}\times 39.99

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

3 0
3 years ago
Marsha Green makes $9.19 per hour. Find her social security tax at the rate of 7.65% for a 40-hour work week.
ira [324]

Answer:

$28.12

Step-by-step explanation:

$9.19 x 40 = $367.60 x 7.65% = $28.12

5 0
3 years ago
Which of the following best describes the solution to the equation below?
kozerog [31]
D)One solution. b=5
Distribute 2 times b plus 2 times 3
2b+6
2b+6+2b=26
Combine like terms 4b+6=26
Subtract 6 from both sides
4b=20
Divide both sides by 4
b=5

Check by substituting 5 for b
2 (5+3)+2(5)=26
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4 0
3 years ago
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i
lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0
3 years ago
Share £180 in the ratio<br> 1:9
Schach [20]

Answer:

18:162

Step-by-step explanation:

1:9

1+9=10

(1×180)÷10= 18

(9×180)÷10=162

4 0
3 years ago
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