answer.
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
Drupady [299]
2 years ago
8

A circle is divided into 9 uneven "pie" shaped pieces. Each section is labeled 1, 2, ... , 9. The circle is then spun and the nu

mber pointing north recorded. Estimate the central angle of the section labeled 4.
4 3 2 1 9 8 5 6 7 4 3 2 1 5 8 6 5 4

A. 72
B. 3/18
C. 60
D. 0.2
Mathematics
2 answers:
8_murik_8 [283]2 years ago
7 0
There are three outcomes of 4 out of eighteen outcomes, so the fraction of angle of spinner numbered 4 is \frac{3}{8}
ICE Princess25 [194]2 years ago
4 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

A circle is divided into 9 uneven pie shaped pieces.

Each section is labeled 1 to 9.

When the circle is spun and the number pointing north it will be recorded:

4 3 2 1 9 8 5 6 7 4 3 2 1 5 8 6 5 4

We need to find the central angle of the section labeled 4.

Number of times 4 occur= 3

Total number of times it has been recorded = 18

So, Probability of getting "4" is given by

\frac{\text{Numberof favourable outcomes}}{\text{Total number of outcomes }}\\\\=\frac{3}{18}\\\\=\frac{1}{6}

Hence, Option 'B' is correct.

You might be interested in
Three data entry specialists enter requisitions into a computer. Specialist 1 processes 42 percent of the requisitions, speciali
suter [353]

Answer:

The probabilities are 0.480;0.077 and 0.443 respectively

Step-by-step explanation:

This is a conditional probability exercise.

Let's define conditional probability :

Given two events A and B :

P(A/B)=\frac{P(A,B)}{P(B)} \\P(B) > 0

P(A,B) = P(A∩B) = P(B∩A) = P(B,A) : Is the probability that event A and event B occur at the same time.

We define the following events :

S1 : ''Specialist 1 processes requisitions''

S2 : ''Specialist 2 processes requisitions''

S3 : ''Specialist 3 preocesses requisitions''

I : ''Incorrect entered requisitions''

In our exercise :

P(S1)=0.42\\P(S2)=0.27\\P(S3)=0.31\\P(I/S1)=0.04\\P(I/S2)=0.01\\P(I/S3)=0.05

We are ask to find

P(S1/I) ;P(S2/I);P(S3/I)

We write the conditional equations :

P(I/S1)=\frac{P(I,S1)}{P(S1)} \\0.04=\frac{P(I,S1)}{0.42} \\P(I,S1)=0.0168

P(I/S2)=\frac{P(I,S2)}{P(S2)} \\0.01=\frac{P(I,S2)}{0.27} \\P(I,S2)=0.0027

P(I/S3)=\frac{P(I,S3)}{P(S3)} \\0.05=\frac{P(I,S3)}{0.31} \\P(I,S3)=0.0155

We also define

P(A∪B) = P(A) + P(B) - P(A∩B)

P(I) = P [(I,S1)∪(I,S2)∪(I,S3)]

P(I) =P(I,S1) +P(I,S2)+P(I,S3)\\P(I)=0.0168+0.0027+0.0155\\P(I)=0.035

There is no intersection between (I,S1);(I,S2) and (I,S3) because they are mutually exclusive events.

P(S1/I)=\frac{P(I,S1)}{P(I)} =\frac{0.0168}{0.035} =0.480\\P(S2/I)=\frac{P(I,S2)}{P(I)} =\frac{0.0027}{0.035} =0.077\\P(S3/I)=\frac{P(I,S3)}{P(I)} =\frac{0.0155}{0.035} =0.443

5 0
2 years ago
1. Let’s assume the following statements are true: Historically, 75% of the five­star football recruits in the nation go to univ
likoan [24]
I do not knowwwwwwwwwww
5 0
2 years ago
Part A: Factor x2a2 + 3xa2 + 2a2. Show your work. (4 points)
Lorico [155]

Hope this is what you need

3 0
2 years ago
Read 2 more answers
a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.
satela [25.4K]

Answer:

t=2.47\ s  

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

h(t) = h_0 + s_0t -16t ^ 2

Where h_0 is the initial height, s_0 is the initial velocity and t is the time in seconds.

We know that the initial height is:

h_0 = 4.5\ ft

The initial speed is:

s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s

So the equation is:

h (t) = 4.5 + 37.62t -16t ^ 2

The ball hits the ground when when h(t) = 0

So

4.5 + 37.62t -16t ^ 2 = 0

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

at^2 +bt + c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a= -16\\\\b=37.62\\\\c=4.5

Therefore

t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}

t_1=-0.114\ s\\\\t_2=2.47\ s  

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0
2 years ago
How do you factor: 5x^3+30x^2+45x (please show steps)
Natasha2012 [34]

Answer:

Idk

Step-by-step explanation:idk

3 0
2 years ago
Read 2 more answers
Other questions:
  • I have 28 cubes. How many tens and ones can I make? -----tens ----ones ten------ ones
    5·2 answers
  • A flour canister is 25 cm tall and has a diameter of 20 cm. It is filled to 3 cm from top. what volume of flour does it contain?
    5·1 answer
  • A shop sells three types of boots sales are usually in the ratio of 6:2:3 last month 24 football boots were sold how many boots
    14·1 answer
  • A box contains 14 scarves in unique colors. If 4 scarves are picked randomly from the box,__________ different combinations are
    9·2 answers
  • A cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters. Actual quantities dispensed v
    7·1 answer
  • He table shows the price paid per concert ticket on a popular online auction site. What was the average price paid per ticket? A
    7·2 answers
  • L'età media di Aldo, Bruno, Carlo e Davide è 16 anni. Se non si tiene conto di Davide, l'età media dei tre rimanenti sale a 18.
    5·1 answer
  • If triangle VWZ is congruent to triangle XWY, find the length of YX.
    15·1 answer
  • Question<br> Find the multiplicative inverse of 0.13.
    6·1 answer
  • There are about 1.61 kilometers in 1 mile. Let LaTeX: xx represent a distance measured in kilometers and LaTeX: yy represent the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!