1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KIM [24]
3 years ago
12

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

Mathematics
1 answer:
Ad libitum [116K]3 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.

You might be interested in
Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) and (-7,2)
poizon [28]

(x+2)^{2}+(y-5)^{2}= 34

The equation of a circle in standard form is

(x-a)^{2}+(y-b)^{2}=r^{2}

where (a , b) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [\frac{1}{2}(xx_{1}+x_{2}, \frac{1}{2}(y_{1}+y_{2}

where (x_{1},y_{1}=(3,8) and (x_{2},y_{2}=(-7,2)

centre = (\frac{1}{2}(3-7),\frac{1}{2}(8+2)) = (-2,5)

Calculate r using the distance formula

r = √(x_{2}-x_{1})²+(y_{2}-y_{1})²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

equation of circle is : (x+2)²+(y-5)² = 34


8 0
3 years ago
Find the equation of the line parallel to y=5x+7 and passing through (3,-8)
skelet666 [1.2K]

Answer:

hope it helps you thank you

Step-by-step explanation:

mark me as brilliant

6 0
2 years ago
Turn 5/7 into its smallest form
DiKsa [7]

Answer:

5/7

Step-by-step explanation:

5 0
2 years ago
A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don
ankoles [38]

Answer:

\huge\boxed{77}

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

<u>Finding the factors for all of the multiples of 7:</u>

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

7 0
3 years ago
Read 2 more answers
A baseball is hit into the​ air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas
tankabanditka [31]

Answer:

\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

h(0)=-16\cdot 0^2+128 \cdot 0+2=2

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as ax^2+bx+c, it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

   \dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{  seconds}}

And the maximum height of the baseball is h(4).

h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
Other questions:
  • A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was
    13·1 answer
  • Gamal is buying ham and turkey to make sandwiches for a party. At most, he can spend $50, and he must buy more than 8 pounds of
    13·2 answers
  • A basket contains 6 peaches and 8 plums. What is the ratio of peaches to total pieces of fruit.
    6·2 answers
  • Associative property <br><br> Commutative property <br><br> Distributive property
    8·1 answer
  • Find f(2) if f(x) = (x + 1)2
    14·2 answers
  • Explain how to write 50,000 in exponent form
    5·1 answer
  • In 9 hours, Yoko reads 72 chapters of a book. What is her rate in chapters per hour?
    6·2 answers
  • louie has $1,000 and wants it to grew to $5,000 in 10 years,what compound interest rate does he need?
    11·1 answer
  • Some help me with these two questions please!!!!!!!
    8·1 answer
  • Plz help ( 2x10^4)^4 thanks
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!