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Maurinko [17]
3 years ago
13

Natalie has a box containing 26 tiles, each with a different letter of the alphabet. She randomly chooses 5 letters. Which expre

ssion represents the probability that she will choose five vowels (not counting Y as a vowel)?
Mathematics
1 answer:
kirill115 [55]3 years ago
4 0
The total number of combinations of the 26 letters taken 5 at a time is 26C5 = 65780. Only one of these combinations has the five vowels. Therefore the probability of choosing five vowels is: 1/65780.
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See the attached picture:

6% = 1200
9% = 2400
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3 years ago
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What’s the answer pleaseeeeeeeee
slega [8]

y^2 +6^2 = 12^2

y^2 +36 = 144

y^2 = 108

sqrt(108) = 10.392 = 6sqrt(3)

 Answer is B 6sqrt(3)

7 0
3 years ago
Aphrodite took out a 30-year loan from her bank for $170,000 at an APR of
horsena [70]

Answer:

  A. $3246.74

Step-by-step explanation:

The monthly payment can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount, r is the annual rate compounded n times per year for t years.

Filling in the values, we compute the monthly payment to be ...

  A = $170,000(.072/12)/(1 -(1 +.072/12)^(-12·30)) = $1153.94

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The remaining balance after t years will be ...

  B = P(1 +r/n)^(nt) -A((1 +r/n)^(nt) -1)/(r/n)

For the given initial principal and the computed payment, after 18 years, the balance will be ...

  B = $170000(1 +.072/12)^(12·18) -$1153.94((1 +.072/12)^(12·18) -1)/(.072/12)

  B = $111,054.71

The prepayment penalty appears to be ...

  (r/2)(0.80B) = (.072/2)(0.80)($111,054.71) = $3,198.38

The closest listed answer choice is ...

  A.  $3246.74

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Please ask your teacher how to get the answer, since none of the offered choices appear to be correct.

8 0
3 years ago
Please help me AAAAAA
bezimeni [28]

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

baseline large × height large / 2 = 500

baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

8 0
2 years ago
What are all the angles?
mrs_skeptik [129]

Answer:

Step-by-step explanation:

So you should know. Can you give us a better picture?

5 0
2 years ago
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