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Murljashka [212]
3 years ago
5

This dart board is made up of three concentric circles. A dart will be randomly tossed at the board. What is the probability the

dart will land in the section labeled with a X?

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

Option B.  11\%

Step-by-step explanation:

we know that

The probability that the dart will land in the section labeled with a X is equal to divide the area of the smaller green circle by the total area

so

P=\frac{\pi (2)^{2}}{\pi (6)^{2}}\\ \\P=\frac{4}{36}\\ \\P=\frac{1}{9}\\ \\P=11\%

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Mr. Nelson is checking some of the school's sport balls to make sure they are in good shape and
mario62 [17]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: air pressures of properly inflated sports balls.

<em>Average recommended psi Tolerance </em>

<em>(pounds per square inch) </em>

<em>Soccer ball 12.05 ±3.55 </em>

<em>Basketball 8.00 ±0.5  </em>

<em>Volleyball  4.44 ±0.18</em>

Each recommendation is expressed like the "average air pressure" ± "standard deviation of the recommended air pressure" so if you express it in inequality it will be:

X[bar]-S ≤ X ≤ X[bar]+S

So for each ball type, you can write it as:

<u>Soccer ball</u>

12.05-3.55 ≤ X ≤ 12.05+3.55

8.5 ≤ X ≤ 15.6

<u>Basketball</u>

8.00-0.5  ≤ X ≤ 8.00+0.5

7.5  ≤ X ≤ 8.5

<u>Volleyball</u>

4.44-0.18 ≤ X ≤ 4.44+0.18

4.26 ≤ X ≤ 4.62

I hope this helps!

5 0
3 years ago
Can someone please answer. There is one question. There's a picture thank you!
soldier1979 [14.2K]
<span>The range of Cos(x) is [-1,1]. Therefore the range of ln(Cos(x)) will be the image of [-1,1] using the natural log function. However, the domain of ln(x) is (0,infinity) and the log function is strictly increasing with vertical asymptote at "x=0". Therefore, the range of ln(Cos(x)) will be: 

(- infinity, ln(1) ] = (-infinity, 0] !</span><span>so its true </span>
8 0
3 years ago
For the following distribution: x p(x) 0 01.30 1 0.346 2 0.346 3 0.154 4 0.026 what is the mean of the distribution?
bogdanovich [222]

The mean of the distribution given is 0.569.

Given some distribution like under:

     x                           p(x)

     0                            0.650

     1                             0.216

     2                             0.087

     3                             0.026

     4                             0.014

      5                            0.009

We have to find the mean of the distribution.

Mean is the sum of numbers divided by the numbers which are taken into consideration. It is also known as average.

Mean=sum/n

To find the mean of distribution we have to find sum of x*p(x)

∑xp(x)=0*0.650+1*0.216+2*0.0087+3*0.026+4*0.014+5*0.009

=0+0.216+0.174+0.078+0.056+0.045

=0.569

Hence the mean of the distribution given in the question is 0.569.

Learn more about mean at brainly.com/question/1136789

#SPJ4

Distribution in the given question is wrong and the right question is as the right distribution is as under:

 x                           p(x)

     0                            0.650

     1                             0.216

     2                             0.087

     3                             0.026

     4                             0.014

     5                            0.009

5 0
2 years ago
a chocolate chip cookie has 10 more calories than an ice cream cone. together they have a total of 310 calories.
jasenka [17]

Answer:

The total would be 300

Step-by-step explanation:

310

-10

-----

300

5 0
3 years ago
John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide. How much cubic feet of dirt
ivann1987 [24]

Answer:

John need to remove <u>4760 cubic feet</u> of dirt.

Step-by-step explanation:

Given:

John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide.

Now, to find the cubic feet of dirt John need to remove.

Length = 28 feet.

Width = 5 feet.

Height = 34 feet.

<u><em>As the swimming pool is in the shape of a rectangular prism.</em></u>

So, we put formula of volume to get the cubic feet of dirt need to remove:

Volume = length\times width\times height

Volume=28\times 5\times 34

Volume=4760\ cubic\ feet.

Therefore, John need to remove 4760 cubic feet of dirt.

6 0
3 years ago
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