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Mumz [18]
3 years ago
10

What is the probability that Joey got his math book and biology book?

Mathematics
1 answer:
Greeley [361]3 years ago
4 0

There are eight books total and he only grabbed two so the probability would be 2 out of 16 or 2:16

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Write the number 6,007,200 in two different forms
erik [133]
1 way
six million, seven thousand, and two hundred.
6 0
3 years ago
Read 2 more answers
A worker was paid a salary of $10,500 in 1985. Each year, a salary increase of 6% of the previous year's salary was awarded. How
Mazyrski [523]
Note that 6% converted to a decimal number is 6/100=0.06. Also note that 6% of a certain quantity x is 0.06x.

Here is how much the worker earned each year:


In the year 1985 the worker earned <span>$10,500. 

</span>In the year 1986 the worker earned $10,500 + 0.06($10,500). Factorizing $10,500, we can write this sum as:

                                            $10,500(1+0.06).



In the year 1987 the worker earned

$10,500(1+0.06) + 0.06[$10,500(1+0.06)].

Now we can factorize $10,500(1+0.06) and write the earnings as:

$10,500(1+0.06) [1+0.06]=$10,500(1.06)^2.


Similarly we can check that in the year 1987 the worker earned $10,500(1.06)^3, which makes the pattern clear. 


We can count that from the year 1985 to 1987 we had 2+1 salaries, so from 1985 to 2010 there are 2010-1985+1=26 salaries. This means that the total paid salaries are:

10,500+10,500(1.06)^1+10,500(1.06)^2+10,500(1.06)^3...10,500(1.06)^{26}.

Factorizing, we have

=10,500[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]=10,500\cdot[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]

We recognize the sum as the geometric sum with first term 1 and common ratio 1.06, applying the formula

\sum_{i=1}^{n} a_i= a(\frac{1-r^n}{1-r}) (where a is the first term and r is the common ratio) we have:

\sum_{i=1}^{26} a_i= 1(\frac{1-(1.06)^{26}}{1-1.06})= \frac{1-4.55}{-0.06}= 59.17.



Finally, multiplying 10,500 by 59.17 we have 621.285 ($).


The answer we found is very close to D. The difference can be explained by the accuracy of the values used in calculation, most important, in calculating (1.06)^{26}.


Answer: D



4 0
2 years ago
[(51 + 3) − 32] ÷ 9 ⋅ 2.
galina1969 [7]
Your answer is 4.88 using PEMDAS

7 0
2 years ago
Samantha wants to put a fence around her backyard. She buys the fence in 6-foot sections and needs 12 sections. She spends a tot
Allisa [31]
Legnth of 1 section times number of sections=number of feet needed=6*12=72

72ft=850
divie both sides by 72
1ft=11.8055555

1 ft=$11.81
6 0
3 years ago
The expression square root 5x is equivalent to the expression square root 5 <br> A. True Or B. False
Kitty [74]

Answer:

False

Step-by-step explanation:

sqrt(5x) cannot simplify to x*sqrt5 because the x variable is not squared.

4 0
3 years ago
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