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
Step2247 [10]
3 years ago
7

Marlon asks a friend to think of a number from 5 to 11. What is the probability that Marlon’s friend will think of the number 9?

Mathematics
2 answers:
Helga [31]3 years ago
7 0
There are 7 numbers between 5 and 11 including 5 and 11. This means there is a one in seven chance of any number. The probability of o 9 is 1/7.
MAXImum [283]3 years ago
6 0

Answer:

P=\frac{1}{7}

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x---------> size of the event space

y-------> size of the sample space

P=\frac{x}{y}

In this problem we have

x=1 (because is only one number to think)

y=7 (there are 7 numbers between 5 and 11)

substitute

P=\frac{1}{7}


You might be interested in
Can someone help me out with this problem ?
expeople1 [14]
I believe that’s it .... i’m so so sorry if it’s not

8 0
2 years ago
Polygon D is a scaled copy of polygon C using a scale factors of 6
Vladimir79 [104]

Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.

Step-by-step explanation:

<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>

 In order to solve this problem it is important to analize the information provided in the exercise.

You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.

Then, you can identify that the Length scale factor used is:

Length\ scale\ factor=k=6

Now you have to find the Area scale factor.

Knowing that the Length scale factos is 6, you can say that the Area scale factor is:

Area \ scale\ factor=k^2=6^2

Finally, evaluating, you get that this is:

Area \ scale\ factor=36

Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.

8 0
3 years ago
Find the angles a,b,c and d
maria [59]

Answer:

a°=79°[alternate angles]

c°=83°[alternate angle]

a° +d°=180°[straight angle]

79°+d°=180

or,d°=180-79

so,d°=101°

Now,

b°+c°=170°[sum of straight angle]

b°+83°=180°

b°=180°-83°

so,b°=97°

4 0
2 years ago
4.) What is the exact value of sinθ when θ lies in Quadrant II and cosθ=−513
dimaraw [331]

Answer:

Part 4) sin(\theta)=\frac{12}{13}

Part 10) The angle of elevation is 40.36\°

Part 11) The angle of depression is 78.61\°

Part 12) arcsin(0.5)=30\°  or arcsin(0.5)=150\°

Part 13) -45\°  or 225\°

Step-by-step explanation:

Part 4) we have that

cos(\theta)=-\frac{5}{13}

The angle theta lies in Quadrant II

so

The sine of angle theta is positive

Remember that

sin^{2}(\theta)+ cos^{2}(\theta)=1

substitute the given value

sin^{2}(\theta)+(-\frac{5}{13})^{2}=1

sin^{2}(\theta)+(\frac{25}{169})=1

sin^{2}(\theta)=1-(\frac{25}{169})  

sin^{2}(\theta)=(\frac{144}{169})

sin(\theta)=\frac{12}{13}

Part 10)

Let

\theta ----> angle of elevation

we know that

tan(\theta)=\frac{85}{100} ----> opposite side angle theta divided by adjacent side angle theta

\theta=arctan(\frac{85}{100})=40.36\°

Part 11)

Let

\theta ----> angle of depression

we know that

sin(\theta)=\frac{5,389-2,405}{3,044} ----> opposite side angle theta divided by hypotenuse

sin(\theta)=\frac{2,984}{3,044}

\theta=arcsin(\frac{2,984}{3,044})=78.61\°

Part 12) What is the exact value of arcsin(0.5)?

Remember that

sin(30\°)=0.5

therefore

arcsin(0.5) -----> has two solutions

arcsin(0.5)=30\° ----> I Quadrant

or

arcsin(0.5)=180\°-30\°=150\° ----> II Quadrant

Part 13) What is the exact value of arcsin(-\frac{\sqrt{2}}{2})

The sine is negative

so

The angle lies in Quadrant III or Quadrant IV

Remember that

sin(45\°)=\frac{\sqrt{2}}{2}

therefore

arcsin(-\frac{\sqrt{2}}{2}) ----> has two solutions

arcsin(-\frac{\sqrt{2}}{2})=-45\° ----> IV Quadrant

or

arcsin(-\frac{\sqrt{2}}{2})=180\°+45\°=225\° ----> III Quadrant

5 0
3 years ago
Find the inverse function of F(x) = 1/2x-6​
DIA [1.3K]
F^-1 (x) = 2x + 12 hope it help
5 0
3 years ago
Read 2 more answers
Other questions:
  • Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X
    12·2 answers
  • The modulus of a real number, n, is equal to _____.
    6·1 answer
  • Write an equation of the line parallel to 3x+y=7 that goes from (-3,5) in slope intercept form.
    12·1 answer
  • Shaline is drawing a rectangle The length of the rectangle is 3 inches The width is 2/3 of the length Answer without solving: Is
    11·1 answer
  • (3,7) 4/7 in standard form show work
    8·1 answer
  • On a scale 1/5 drawing of a car, one part is 8 inches long. How long will the actual car part be?
    6·1 answer
  • To divide 3/8 ÷ 1/4 using a model, which of the following are true? Select all that are correct.
    11·1 answer
  • The number 48 can be written in the form 2n x 3. find the value of n!
    14·2 answers
  • The base of a pyramid has n sides.
    11·1 answer
  • A sector with an area of \goldE{48\pi,\text{cm}^2}48πcm 2 start color #a75a05, 48, pi, start text, c, m, end text, squared, end
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!