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
Reptile [31]
3 years ago
15

A family has five members--a mom, a dad, two sisters, and a brother.The family lines up single file. What is the probability tha

t the mom is at the front of the line?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0
To find the probability that the mom is at the front of the line:

\frac{number \: of \: favorable \: outcomes}{total \: outcomes} \\ = \frac{number \: of \: ways \: where \: mum \: is \: at \: the \: front \: of \: the \: line}{total \: number \: of \: ways} \\ = \frac{1c1 ×4! }{5!} \\ = \frac{24}{120} \\ = \frac{1}{5}
Therefore the answer is 1/5.

Hope it helps!
You might be interested in
Which of the following coordinates is a solution to the linear equation?
Dima020 [189]
Right this is pretty simple all you do is sub the points to the equation given.
So first try the first point (2,-1) in y=-3x+7
==> -1=-3(2)+7
==>-1=1 this is not equal therefore not the right points

Then try (1,10)
==>10=-3(1)+7
==>10=4 this is incorrect therefore not the right points

Next try (3,-2)
==>-2=-3(3)+7
==>-2=-2 this is equal therefore this is the coordinates to the linear equation.

Finally try the last points to make sure you are correct.
==> -8=-3(-5)+7
==>-8=22 this is incorrect also.

Therefore the only coordinates that satisfies the equation is (3,-2)
7 0
3 years ago
Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices.
LiRa [457]
3x - y = 0 . . . (1)
5x + 2y = 22 . . . (2)

From (1), y = 3x . . . (3)

Putting (3) into (2) gives:
5x + 2(3x) = 22
5x + 6x = 22
11x = 22
x = 2

From (3), y = 3(11) = 33

x = 11, y = 33.
5 0
3 years ago
ashley is baking a cake shaped as a right triangle. Two of the angles are measurement of 5x and 10x. What is the value of x?
DENIUS [597]

Answer:

A. 6

Step-by-step explanation:

Since, cake is of right triangled shape, so measure of its one angle would be 90° and the sum of the measures of the remaining two angles will also be equal 90°.

Therefore,

5x +10x = 90

15x = 90

x = 90/15

x = 6

8 0
2 years ago
Read 2 more answers
A lighthouse operator sights a sailboat at an angle of depression of 12 degrees. If the sailboat is 80m away, how tall is the li
mart [117]
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think. 

Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h

In short,
adjacent = 80
opposite = h

We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018  <<-- see note below

So the lighthouse is roughly 17.0045249336018 meters tall

Answer: 17.0045249336018

Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to

4 0
3 years ago
Line segment EF has a lenth if 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.
vivado [14]

Translation does not affect length.

So the length of E'F' is 5 units.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Write 3 ratios equivalent to 12/28
    8·1 answer
  • -3(2k + 5) = -8k +29<br> what’s the answer and the way to solve this?
    12·1 answer
  • What are the properties to the following
    8·2 answers
  • Which number sentence shows the commutative property of addition?
    8·2 answers
  • How many yards are equivalent to 648 feet?
    15·1 answer
  • Harry received a package for his birthday. The package weighed 350,000 centigrams. Select the conversions that are equivalent to
    13·1 answer
  • I will give brainiest and 5 stars! If you answer this!
    7·1 answer
  • What is f+41=−27 thanks
    14·1 answer
  • PLEASE HELP!!!!!!!<br> will mark brainliest!!!!
    9·1 answer
  • Graph the equation. y = − 5/4 ( x − 1 ) ( x + 3 )
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!