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Ira Lisetskai [31]
2 years ago
5

grace and her friends were to roll the two dice 100 times, how many of the 100 times could they expect to roll the same number o

n each die? (In other words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.)
Mathematics
1 answer:
LenaWriter [7]2 years ago
4 0

Answer:

The probability of both dice having the same number is 636, as there are 36 different outcomes, 6 of which have two of the same number, i.e. (1,1),(2,2),....

The expected number of rolls of this type in 100 pairs of dice rolls is 100∗636

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The value of the digit 5 in 634,952 is how many times the value of the 5 in 43,597
stealth61 [152]

Answer:

A}

Step-by-step explanation:

It is 10 times because it is one digit to the left that makes 10 times greater

6 0
3 years ago
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For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year.
lidiya [134]

Answer: $ 125987.80

Step-by-step explanation:

Given: The value, V(t) of $393,000 worth of assets after t years, that depreciate at 15% per year, is given by the formula

V (t)=V_o(b)^t, here V_o is the initial asset value  and b is the multiplicative decay factor.

The exponential decay function is given by ;-

f(x)=A(b)^x, where A is the initial value , x is the  times period and b is the multiplicative decay factor.

where b = 1-r, r is the rate of decay.

Since r = 15%=0.15

Therefore, b = 1-0.15=0.85

Now ,for 7 years , the value of assets is given by :-

V=393000(0.85)^7=125986.795\approx125987.80

Hence, the assets valued at after 7 years = $ 125987.80

4 0
3 years ago
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A 120° sector of a circle has an area of 67 cm². To the nearest centimeter what is the diameter of the circle?
qaws [65]

Answer:

degree = 120°

A =67 cm²

d=?

note : diameter= 2×radius

area of a circle = πr²

67=22/7 ×r²

67×7=22r²

469=22r²

r²=469/22

r²=21.32

r=4.62

diameter=2 × radius

d= 2× 4.62

d=9.24

d=9

I hope it helps :)

3 0
3 years ago
(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term
kolbaska11 [484]

Answer:

a_n=5-2(n-1), all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

a_n=a_1+d(n-1)

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

a_1=5\\a_2=3

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

d=a_2-a_1=3-5=-2

substitute the given values in the formula

a_n=5-2(n-1)

The domain is all integers for n\geq 1

3 0
3 years ago
Write 12345678 times 10^-9 as a decimal.
labwork [276]
You answer would be 0.012345678.
 Calculate it 
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3 years ago
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