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lutik1710 [3]
3 years ago
8

Tina rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below: (1, 1), (1, 2), (1, 3)

, (1, 4), (1, 5), (1, 6) (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6) (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) Based on the sample space, what is the probability of getting a total of 8? 4 over 36 5 over 36 6 over 36 7 over 36
Mathematics
1 answer:
butalik [34]3 years ago
7 0
6 over 36 is the correct answer
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the following ordered pairs give the entrance exam scores x and the grade-point averages y after 1 year of college for 10 studen
weeeeeb [17]

Find the slope

we take the points

(75,2.3) and (82,3)

so

m=(3-2.3)/(82-75)

m=0.7/7

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the units of the slope are grade-point averages by entrance exam scores

6 0
1 year ago
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4 0
3 years ago
Write one digit on each side of 73 to make a four digit multiple of 36. How many different solutions does this problem have?
Aloiza [94]

Answer: an option is 2736

and we only have two possible solutions, the other is 6732

Step-by-step explanation:

we want to write a number:

a73b, where a and b are one digit numbers (0 to 9) in such way that the number is divisible by 36.

Now, we know that 36 is multiple of 6, so 6*6 = 36

The multiples of 36 are always even numbers, so we can discard all the odd options for b.

We also can discard the option a = 0, because we want a 4 digit number.

now, let's do it by brute force.

if a = 1, we have:

173b, now you can give b different values (only even values) and see if some of them is divisible by 36. You will find that none is.

if a = 2

273b

when b = 6, we have:

N = 2736, that is divisible by 36 as:

2736/36 = 79, so this is a multiple of 36.

now, you can keep changing the value of a and find all the different possible solutions.

if a = 3,

373b is not divisible by 36 for any value of b

if a = 4

473b  is not divisible by 36 for any value of b

if a = 5

573b  is not divisible by 36 for any value of b

if a= 6

673b  it is divisible by 36 when b = 2.

6732/36 = 187

if a = 7

773b  is not divisible by 36 for any value of b

if a = 8

873b  is not divisible by 36 for any value of b

if a = 9

973b  is not divisible by 36 for any value of b

So we only have two possible solutions

5 0
3 years ago
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How muc
Roman55 [17]

Answer:

The total earned after 30 days is 465000.

Step-by-step explanation:

The amount of money that I'll recieve can be modelled as a arithmetic sequence in which the next element is related to the prior by a sum of a rate "q". This sequence can be seen below:

{1000, 2000, 3000, ...}

Where q = 1000. In order sum all the "n" terms on a sequence of this kind we can use the following formula:

Sn = (n/2)*(a1 + an)

And to find the term an, we can use the formula:

an = a0 + (n-1)*r

Where n is the position of the number we want to calculate, in this case 30, a0 is the first number on the sequence and r is the rate between consecutive numbers. So the 30th term is:

a30 = 1000 + (30 -1)*1000

a30 = 1000 + 29*1000

a30 = 1000 + 29000 = 30000

And the total obtained is:

s30 = (30/2)*(1000 + 30000) = (30/2)*(31000)

s30 = 930000/2 = 465000

The total earned after 30 days is 465000.

4 0
4 years ago
Martin earns $7.50 per hour proofreading ads at a local newspaper. His weekly wage m can be described by the equation w=7.5h, wh
lawyer [7]
Don't listen to the guy below me haha         <span> f(h) = 7.5x where you input h for x

so
f(15) = 7.5(15)
f(20) = 7.5(20)
f(25) = 7.5(25) </span>      


5 0
3 years ago
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