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enot [183]
3 years ago
10

Suppose that all the points on the circular dartboard shown are equally likely to be hit by a dart. if the radius of the red cir

cle i 2 in. and the radius of the entire dartboard is 6 in, what is the probability of throwing a dart and hitting the white part of the board
Mathematics
2 answers:
Anestetic [448]3 years ago
8 0
This equals the  the area of white part / area of the entire dartboard

area of the entire board = pi * 6^2 = 36pi

area of white part = 36pi  - 2^2*pi  = 32pi

do required probability = 32pi / 36pi  =  0.889   or 88.9 %   (to nearest tenth)


or as a fraction it is 8/9
ch4aika [34]3 years ago
4 0

Answer: 89% is correct!

Step-by-step explanation:

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3(4a+7)=5(2a+4)+1 What is it?
hichkok12 [17]

Answer:

a = 0

Step-by-step explanation:

3(4a+7)=5(2a+4)+1     Distribute 3 through the parentheses

                 - >                         12a + 21 = 5(2a + 4) +1

5(2a + 4) +1   -->  10a + 20 + 1

12a + 21 = 10a + 20 + 1  -->    12a + 21 = 10a + 21   -->      12a = 10a

                                                     12a - 10a = 0   -->    2a = 0

Divide both sides of the equation by 2      -->     a = 0

7 0
3 years ago
Draw a rectangular fraction model to explain your thinking <br> 1/2 of 2/3=1/2 of ___ thirds
Ad libitum [116K]
It equal 1/2 of 2/3 thirds its the same answer before the equal
6 0
2 years ago
Read 2 more answers
Find the intercepts for the graph of the equation given.<br>X +7y=0<br>​
Citrus2011 [14]

Answer:

They are both (0,0)

The x intercept is when y is equal to zero.

VICE VERSA

x + 7(0) = 0

(0) + 7y = 0

<em>Hope this helps!!!</em>

8 0
3 years ago
How to solve a quadratic sequence
Luda [366]
FIRST FIND THE THE FIRST AND SECOND DIFFERENCES ON THE GIVEN SEQUENCE OF NUMBERS.                                                                 FOR EXAMPLE IF YOU ARE GIVEN THIS SEQUENCE                                  2,4,6,8............AND YOU ARE ASKED TO FIND THE GENERAL FORMULA....  STEP 1:FIND THE FIRST DIFFERENCE  BY SUBTRACTING THE FIRST TERM FROM THE SECOND TERM,AND THE SECOND FROM THE THIRD AND SO ON.                                                                          STEP 2:FIND THE SECOND DIFFERENCE BY APPLYING STEP 1 TO THE ANSWERS OBTAINED.EG 4-2=2,6-4=2,8-6=2 THEREFORE THE SECOND DIFFERENCE WILL BE 2-2=0,2-2=0                                                                STEP 3:DIVIDE THE SECOND DIFFERENCE BY 2 TO GET THE VALUE OF (A).                                                                                                                STEP 4:WRITE 3a-b=the first term of the first term of the first difference which is the difference between 4 and 2.and solve for the value of b.3(0)-b=2 therefore b=-2                                                                                                    STEP 5:FIND THE VALUE OF c BY  term 1=a=b=c                                                                                                                                                               
6 0
3 years ago
A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exa
yarga [219]

Answer:

z= \frac{85-70}{10}=1.5

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

Step-by-step explanation:

Assuming this complete question:

A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exams were scored on different scales. Remembering what he learned about the advantages of Z scores, he asks his friend for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information:

Our student: Final exam score = 85; Class: M = 70; SD = 10.

His friend: Final exam score = 45; Class: M = 35; SD = 5.

The Z score for the student and his friend are:

A) Our student, Z= -1.07; his friend, Z= -1.14.

B) Our student, Z= 1.50; his friend, Z=2.00.

C) Our student, Z= 1.07; his friend, Z= -1.14.

D) Our student, Z= 1.07; his friend, Z= 1.50

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution

Let X the random variable that represent the scores for our student, and for this case we know that:

E(X)= \mu =70, SD_X=\sigma=10  

The z score is given by:

z=\frac{x-\mu}{\sigma}

If we use this we got:

z= \frac{85-70}{10}=1.5

Let Y the random variable that represent the scores for his friend, and for this case we know that:

E(Y)= \mu =35, SD_Y=\sigma=5  

The z score is given by:

z=\frac{y-\mu}{\sigma}

If we use this we got:

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

3 0
3 years ago
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