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Reika [66]
3 years ago
7

At the start of the school year, students can pick to have either a black ID holder (B) or a red ID holder (R). Suppose that two

students pick their ID holders. What is the sample space for this action? Drag and drop the choices into the box to correctly complete the table. If an item is not in the sample space, do not drag it to the table. Sample Space BRRRRBBRRBBBBBRBRBRBRRRBBBRBBRRB RR
Mathematics
2 answers:
dlinn [17]3 years ago
5 0
BR
RB
RR
BB
Sample space is just another way of saying "What choices give am equal or 100% chance?" So RB and BR each give an equal chance of getting black or red. RR and BB both give a 100% chance of getting that color.

I also took the quiz and got it right
Makovka662 [10]3 years ago
3 0
The sample space is nothing but ALL possible outcomes. In this case you have Black & Red id's. Then the sample space is {black, red}
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If logb2=x and logb3=y, evaluate the following in terms of x and y:
Alja [10]

log_b{162} = x + 4y\\\\log_b324 = 2x+4y\\\\log_b\frac{8}{9} = 3x-2y\\\\\frac{log_b27}{log_b16} = 3y-4x

<em><u>Solution:</u></em>

Given that,

log_b2 = x\\\\log_b3 = y --------(i)

<em><u>Use the following log rules</u></em>

Rule 1: log_b(ac) = log_ba + log_bc

Rule 2: log_b\frac{a}{c} = log_ba - log_bc

Rule 3: log_ba^c = clog_ba

a) log_b{162}

Break 162 down to primes:

162 = 2^1 \times 3^4

log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y

Thus we get,

log_b162 = x + 4y

Next

b) log_b 324

Break 324 down to primes:

324 = 2^2 \times 3^4

log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y

Next

c) log_b\frac{8}{9}

By rule 2

log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} =  3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} =  3x - 2y

Next

d) \frac{log_b27}{log_b16}

By rule 2

\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} =  3y - 4x

Thus the given are evaluated in terms of x and y

3 0
3 years ago
Help me please ill give brainlist
solmaris [256]

Answer:

106.8 in.

Step-by-step explanation:

The circumference of a circle:

C = 2πr

Substitute the given information into the formula.

C = 2(3.14)(17) = 106.8

5 0
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If you are asked to provide a set of two or more numeric answers, separate them with commas. for example, to provide the year th
Nat2105 [25]
The perimeter of a rectangle:P = 2 L + 2 W
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Compute the exact interest on $5,870 at 12% if the money is borrowed from June to December of the same year.
yawa3891 [41]

Answer:

The exact interest on $5,870 at 12% is $410.9

Step-by-step explanation:

From the information provided we know that

Principal amount: $5,870

Interest rate: 12% -> 0.12

Time: 7 months (From June to December)

When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

I=P\cdot r\cdot t

where P is principal, r is the rate of interest and t is the time in years.

We need to convert the 7 months into 1 year.

7 \>months \cdot \frac{1 year}{12 months} = \frac{7}{12} year

Now we can use the above formula

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Therefore the exact interest on $5,870 at 12% is $410.9

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The tub could hold 74 and 3/8
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