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
ololo11 [35]
3 years ago
7

A cooler contains eleven bottles of sports drink: four lemon-lime flavored and seven orange flavored. you randomly grab a bottle

and give it to your friend. then, you randomly grab a bottle for yourself. you and your friend both get lemon-lime.find the probability of this occurring.
Mathematics
1 answer:
Anna71 [15]3 years ago
3 0

The probability that you will choose a lemon-lime for your friend is the number of lemon-limes divided by the total number of drinks, 4/11.

The probability that you will subsequently choose one for yourself is the same ratio with different numbers (because a lemon-lime has already been selected), 3/10.

The probability of both of these events occurring is the product of their individual probabilities: (4/11)·(3/10) = 6/55

You might be interested in
On a map, Norristown is 18 miles south of Lincoln, and Lincoln is 29 miles west of Allenport. Find the distance from Norristown
Nana76 [90]

Answer:34.1

Step-by-step explanation:

4 0
3 years ago
Find the perimeter of rhombus star
Degger [83]

Answer:

4\sqrt{10}

Step-by-step explanation:

Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.

The coordinates of its vertices are given as,

S(-1, 2)

T(2, 3)

A(3, 0)

R(0, -1)

Length of each side can be calculated using the distance formula given as d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2}

Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.

ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

S(-1, 2) => (x1, y1)

T(2, 3) => (x2, y2)

ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2}

ST = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10}

TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

T(2, 3) => (x1, y1)

A(3, 0) => (x2, y2)

TA = \sqrt{(3 - 2)^2 + (0 - 3)^2}

TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10}

AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

A(3, 0) => (x1, y1)

R(0, -1) => (x2, y2)

AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2}

AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10}

RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

R(0, -1) => (x1, y1)

S(-1, 2) => (x2, y2)

RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2}

RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10}

Perimeter = ST + TA + AR + RS

Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10}

4 0
4 years ago
Which expression is equivalent to 5^-2 x 5^-1
Mrac [35]

When you multiply powers with the same base, you sum the exponents:

a^b\times a^c=a^{b+c}

So, in this case, you have

5^{-2}\times 5^{-1}=5^{-2-1}=5^{-3}

4 0
3 years ago
A. Describe a dilation (center and scale factor) that transforms triangle RST into triangle R'S'T' or explain why it cannot be d
Len [333]
To find the center of enlargement, draw a line that connects corresponding vertices, as shown below. 

The transformation that map RST to R'S'T' is an enlargement with scale factor of  3 and center of (0,0)

4 0
4 years ago
Read 2 more answers
Melissa, Ryan, and Chau sent 122 text messages. Chau sent 3 times as many as Ryan. Ryan sent 7 fewer then Melissa. How many mess
Zigmanuir [339]

Answer:

  • Melissa: 30
  • Ryan: 23
  • Chau: 69

Step-by-step explanation:

Let r represent the number of messages Ryan sent. Then Chau sent 3r and Melissa sent r+7. Their total was ...

  (r+7) +(r) +(3r) = 122

  5r +7 = 122 . . . . . collect terms

  5r = 115 . . . . . . . . subtract 7

  r = 23 . . . . . . . . . . divide by 5

Ryan sent 23, Melissa sent 30, and Chau sent 69 text messages.

3 0
3 years ago
Other questions:
  • Is -2 greater than -3
    7·1 answer
  • Please help, what is the answer
    15·1 answer
  • Use the piecewise function to evaluate points f(–1), f(2), and f(12). Question 7 options: A) f(–1) = 2, f(2) = 6, and f(12) = 41
    11·2 answers
  • The sum of the interior angles of a triangle is_____.
    5·2 answers
  • −3/8 ÷ −6/7 asap please
    5·2 answers
  • FREE
    7·1 answer
  • Please help explanation if possible
    10·1 answer
  • 5<br> 32<br> Mixed number as decimal
    5·1 answer
  • Drink A is 20% water by weight, and drink B is 35% water by weight. How many fluid ounces of drink A must be added to 80 oz of d
    10·1 answer
  • In the diagram, the radius is 7 and tangent AB has length of 24. Determine the length of OA rounded to the nearest whole number
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!