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bearhunter [10]
2 years ago
15

What is the probality that there will be 5 Saturday's in the month of May​

Mathematics
2 answers:
GalinKa [24]2 years ago
7 0
Hope it helps you
Please mark it as brainliest

goblinko [34]2 years ago
3 0

Answer:

4/31

Step-by-step explanation:

Im.not too sure about the answer but i think its that

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Give the expression 4n^2t/2n^t-1, write the expression as a binomial.
lubasha [3.4K]

 <span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>

<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>
7 0
3 years ago
Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
yaroslaw [1]

Answer:

10.4 miles

Step-by-step explanation:

Write an equation for the total cost paid as a function of the # of miles driven:

L(x) = $6.75 + ($3.20/mile)x

and set this equal to $40.03 to determine the # of miles Lupita rode:

L(x) = $6.75 + ($3.20/mile)x = $40.03

Isolate the x term by subtracting $6.75 from both sides:

($3.20/mile)x = $40.03 - $6.75 = $33.28

Finally, divide both sides by  ($3.20/mile):

x = $33.28 /  ($3.20/mile)

  =  10.4 miles

Lupita rode 10.4 miles in the taxi.

4 0
3 years ago
I need help with this please :)
Marina CMI [18]

9514 1404 393

Answer:

  all are Not Equivalent

Step-by-step explanation:

The coefficient of t³ in the target expression is -3. In order for that to be the result of simplifying any of the given expressions, they must have ( )^(t^3) in the denominator. None do, so none of the offered choices is equivalent to the given expression.

_____

The expressions simplify like this:

  \dfrac{(2^3)^{t^3}}{2^{5t}}=2^{3t^3-5t}\\\\\dfrac{8^{t^3}}{32^t}=2^{3t^3-5t}\\\\8^{t^3}\cdot32^t=2^{3t^3+5t}

4 0
2 years ago
Please help and explain.
REY [17]

Answer:

Domain: All real numbers greater than or equal to 1.

Step-by-step explanation:

Answer 1: -14 is not in the domain

Answer 2: 4 is included in the domain

3 0
2 years ago
Joseph owns a pizza restaurant. He sells pizzas for $15 each and charges $8 for delivery. What would your total cost be if you h
ANTONII [103]

Answer:

y = 15x + 8

Step-by-step explanation:

Hey there!

15x represents 15 times how many ever pizzas you order and 8 is for the delivery cost.

Hope this helps!

8 0
2 years ago
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