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2 years ago

What’s the probability of getting a prime number and getting a vowel?

Mathematics

1 answer:

Ad libitum [116K]2 years ago

6 0

First you need to know how many prime numbers are from 1 to 12.

Prime numbers: 2, 3, 5, 7, 11. There are 5 prime numbers.

The probability of getting a prime number would be 5/12.

Vowels from A to J would be A, E, I, so 3 vowels.

The probability of picking a vowel would be 3/10.

The probability of picking both would be 5/12 x 3/10 = 15 /120, which reduces to 1/8.

The answer is B.

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If 6/10r=6/7, then what is r?

crimeas [40]

Answer:

Answer is 10/7

Step-by-step explanation:

[tex] (\frac{6}{10} )r = \frac{6}{7} \\ cancelling \: 6 \: on \: both \: sides \\ (\frac{1}{10} )r = \frac{1}{7} \\ \frac{r}{10} = \frac{1}{7} \\ r = \frac{10}{7} \: \\

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7 0

2 years ago

In apirl is rained 1/4 of a inch on 15 diffret day how many inches of rain fell

Ne4ueva [31]

In $15$ diffret days $15/4$ inches of rain fell in April month if every day rained $1/4$ of a inch .

How to find the rain fell in $15$ diffret days ?

We know that rain in every day is $1/4$ of a inch

So for $15$ days

$1/4+1/4+1/4+......15times\\=15/4$

So in $15$ diffret days in April rain fell is $15/4$ inches.

Learn more about the rain fall is here :

brainly.com/question/28049911

#SPJ4

8 0

1 year ago

Which of the following is the graph of the rational function? y=x^2+2x-8/x^2-9

rusak2 [61]

Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form $ax^2+bx+c$ . To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.
$x^2+2x-8=(x+4)(x-2)$
In the denominator we have a difference of squares:
$x^2-9=x^2-3^2=(x+3)(x-3)$

Now we can rewrite our function:
$y= \frac{x^2+2x-8}{x^2-9} = \frac{(x+4)(x-2)}{(x+3)(x-3)}$

From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at $x=3$ and $x-3$

We can conclude that the graphic of our rational function is:

7 0

2 years ago

Write an equation of the line that passes through the given point and is parallel to the graph of the given equation.

True [87]

Question 1:

--------------------------------------------------------------------
Find Slope
--------------------------------------------------------------------
Equation: y = 5x - 2
Slope = 5
Slope of parallel line = 5

--------------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------------
y = 5x + c

--------------------------------------------------------------------
Find y-intercept
--------------------------------------------------------------------
At point (2, -1)
y = 5x + c
-1 = 5(2) + c
c = -1 - 10
c = -11

--------------------------------------------------------------------
Insert y-intercept into the equation
--------------------------------------------------------------------
y = 5x + c
y = 5x - 11

--------------------------------------------------------------------
Answer: y = 5x - 11
--------------------------------------------------------------------

Question 2:

--------------------------------------------------------------------
Find Slope
--------------------------------------------------------------------
y = 9x
Slope = 9
Slope of the parallel line = 9

--------------------------------------------------------------------
Insert slope into the equation y = mx + c
--------------------------------------------------------------------
y = 9x + c

--------------------------------------------------------------------
Find y-intercept
--------------------------------------------------------------------
y = 9x + c
At point (0, 5)
5 = 9(0) + c
c = 5

--------------------------------------------------------------------
Insert y-intercept into the equation
--------------------------------------------------------------------
y = 9x + c
y = 9x + 5

--------------------------------------------------------------------
Answer: y = 9x + 5
--------------------------------------------------------------------

7 0

2 years ago

PLEASE HELP!! IF YOU ANSWER I WILL GIVE YOU BRAINLIST

Katyanochek1 [597]

Answer:

(The only option that makes sense is D. but I came up with 10°F when I did the math)

~ LadyBrain

4 0

3 years ago