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ElenaW [278]
3 years ago
8

A letter of the alphabet is chosen at random. Find the probability that the letter selected is a vowel.

Mathematics
1 answer:
Ann [662]3 years ago
5 0

Answer:

<u>The correct answer is B. 5/26.</u>

Step-by-step explanation:

Let's recall what is the formula of the probability of any event:

Probability of an event= Number of favorable outcome/Total number of favorable outcomes

Then, replacing with the values of our question:

Probability of selecting a vowel = Number of vowels/Total number of letters of the alphabet

Probability of selecting a vowel = 5/26

<u>The correct answer is B. 5/26.</u>

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Blake is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Blake need to invest
natta225 [31]

Answer:

$783.46

Step-by-step explanation:

Compounded interest rate (quarterly) formula: A = P(1 + r/4)^4t

Simply plug in our known variables and solve:

910 = P(1 + 0.015/4)^4(10)

910 = P(1.00375)^40

910 = 1.16151P

P = 783.464

4 0
3 years ago
PLEASE HELP 60 POINTSSSS
anastassius [24]

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = \sqrt{42.25} = 6.5 units

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3 years ago
Read 2 more answers
PLEASE HELLLLLLLPPPPPP!!!!!
MariettaO [177]

Answer:

A.

Step-by-step explanation:

First, let's define the types of numbers.

Real numbers: a value that represents a quantity along a continuous line

ex: 1, 5, -6, 0.125, 45.5258,

Integer: Zero, any positive or negative number

ex: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5....

Whole numbers: a number without fractions [not negative]

ex: 0, 1, 2, 3, 4, 5.....

Rational numbers: any number that can be expressed as the quotient or fraction

ex: 1, 2, 3, 4, 5

Irrational numbers: any number that can't be expressed at the quotient or fraction

ex: pi, [3.14.... (never ending decimal)]  square root of 2....

Based on this information, the false statment would be A. I believe, because

pi is a real number and it is an irrational number.

I hope this helps!!! :)

8 0
3 years ago
A and b are positive integers and a-b=2. Evaluate the following:<br> 9^1/2b/3^a
OlgaM077 [116]

Answer:

\frac{1}{ 9 }

Step-by-step explanation:

\huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} }  \\  \\  =  \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\  \\  =  \huge \frac{ { {3}}^{2 \times  \frac{1}{2}b } }{ {3}^{a} }  \\  \\  \huge =  \frac{ {3}^{b} }{ {3}^{a} }  \\  \\  \huge =  \frac{1}{ {3}^{a - b} }  \\  \\   \huge=  \frac{1}{ {3}^{2} } \\  ( \because \: a - b = 2)\\  \\  \huge =  \frac{1}{ 9 }

5 0
3 years ago
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