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AVprozaik [17]
2 years ago
5

From the information given, (a) construct the indicated sample space and (b) answer the probability question.

Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Answer:

(a) 3 (b) 1/3

Step-by-step explanation:

The probability is defined as the ratio  of number of elements in event to the number of elements in sample space.

(a) As the total number of child is 3, so the number of elements in sample space = 3

(b) The sample space is { boy, boy, girl}

So, the probability is 1/3.  

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Why does the expression i to the power 4n+2 is always equal to -1​
Alexandra [31]

Answer:

See Below.

Step-by-step explanation:

We are given:

i^{4n+2}

Using exponent properties:

=i^{4n}\cdot i^2

Rewriting:

=(i^4)^n\cdot i^2

Since i⁴ = 1 and i² = -1:

=(1)^n\cdot -1

1 to any power is still 1:

=1\cdot -1 = -1

7 0
2 years ago
Square roots are the opposite of ____________.
anyanavicka [17]

Answer:

<u>Squaring a number.</u>

Step-by-step explanation:

The square root is an operation that undoes an exponent of 2, which is the inverse operation of squaring a number.

3 0
2 years ago
Read 2 more answers
Jaxon has $65 in his savings account. He deposits $15 every week. His father also deposits $25 into the account every time Jaxon
Grace [21]
Part A:
A coefficient can be either '15' or '25'.
A variable can be either 'w' or 'm'.
A constant is 65.

Part B:
Simply substitute, or plug-in, the numbers and solve.
***Step 1:
65+15w+25m --> 65+15(20)+25(3)
You do this because you are substituting the 'w' for the number
of weeks that Jaxon saved up for, which is 20, and the 'm' for the number
of times that Jaxon mowed the lawn, which is 3.
***Step 2:
65+15(20)+25(3) --> 65+300+75
Begin to solve, using PEMDAS, or whichever acronym you learned.
Remember, if you are using PEMDAS, recall that the order is Parenthesis,
Exponents, Multiplication/Division (whichever comes first), and
Addition/Subtraction (whichever comes first). Here, I checked for parenthesis.
I did find parenthesis, however, they do not have any expressions inside of
them, meaning that these parenthesis are for multiplying, and not for stating
order. So, you skip parenthesis. Next, you check for exponents, which you
find none of, so you skip over that. Now, we get to multiplying/dividing, so
you multiply the 15 and the 20 to get 300, and the 25 and 3 to get 75.
***Step 3:
65+300+75 --> 440
Now, we get to addition. You simply add everything up to get your final
answer: $440.

Part C:
If Jaxon had $75, then yes, the coefficients would change.
By subtracting $65 from $75, we can see that the total amount of money
from Jaxon's deposits and his lawn-mowing money is $10. Jaxon already
deposits $15 a week, meaning that, while using the current equation, Jaxon
CANNOT have $75 in his bank account. We can change the equation
so that Jaxon is able to have $75 in his savings account. You can change
the coefficient of 15 to 10, and the other coefficient of 25 to 0.
Now Jaxon is able to have $75 in his savings account.
8 0
3 years ago
What is the surface area of the prism?
Sunny_sXe [5.5K]

three forty eight squared inches

5 0
3 years ago
if a person earns $2600 in 4 weeks, how much can the person earn in 20 weeks at the same rate of pay?
AlladinOne [14]

Howdy!

To do this we first have to find the unit rate of 2,600.

2,600/4=650 each week. Then, we just multiply 650x20, with 20 being the number of weeks.

650x20=13,000<---Answer

-Seth

4 0
2 years ago
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