A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at random, what is the probability that it is a blue ball?
Answers have been rounded to the tenths place.
A
0.5
B.
0.4
O C.
0.3
OD. 0.2​

Answers

Answer 1

Answer:

[tex] p =\frac{Possible}{Total}[/tex]

Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:

[tex] p =\frac{5}{12}= 0.417[/tex]

And rounded to the tenths place we got:

[tex] p=0.4[/tex]

And the best answer is:

B. 0.4

Step-by-step explanation:

For this case the size of the sampel space is 5+4+3= 12 representing the total of balls used.

We select a random ball from the total and we want to find the probability of selecting a blue ball. And for this case the can use the empirical definition of probability from Laplace given by:

[tex] p =\frac{Possible}{Total}[/tex]

Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:

[tex] p =\frac{5}{12}= 0.417[/tex]

And rounded to the tenths place we got:

[tex] p=0.4[/tex]

And the best answer is:

B. 0.4


Related Questions

Find an equation equivalent to r = 10 sinθ in rectangular coordinates

Answers

Answer:

[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]

Step-by-step explanation:

The following expressions are used to transform from polar into rectangular form:

[tex]r = \sqrt{x^{2}+y^{2}}[/tex]

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]

Now, the variables are substituted and equation is finally simplified:

[tex]\sqrt{x^{2}+y^{2}} = 10\cdot \frac{y}{\sqrt{x^{2}+y^{2}} }[/tex]

[tex]x^{2}+y^{2} = 10\cdot y[/tex]

The equivalent equation in rectangular coordinates is:

[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]

Which pairs of angles in the figure below are vertical angles?
Check all that apply.
K
R
A. ZIKR and AKP
B. AKP and ZPKI
C. AKC and TKI
D. ZAKT and PKC

Answers

The correct pairs of angles in the figure which are vertical angles is,

⇒ ∠AKC and ∠TKI

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find correct pairs of angles in the figure which are vertical angles.

Now, By definition of vertical opposite angle,

We get;

The correct pairs of angles in the figure which are vertical angles is,

⇒ ∠AKC and ∠TKI

Thus, The correct pairs of angles in the figure which are vertical angles is,

⇒ ∠AKC and ∠TKI

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

Steve built a square hamster pen that has a perimeter of 240 centimeters What is the length of one side of Steve’s hamster pen?

Answers

Answer:

60

Step-by-step explanation:

since its a square, and has four sides then you would divide total length by four to find the length of each side

The best Answer is 60

Solve for x: 1/2(6x - 10) = 2x - 7

Answers

Answer:

X=-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/2(6x-10)=2x-7

(1/2)(6x)+(1/2)(-10)=2x+-7(Distribute)

3x+-5=2x+-7

3x-5=2x-7

Step 2: Subtract 2x from both sides.

3x-5-2x=2x-7-2x

X-5=-7

Step 3: Add 5 to both sides.

X-5+5=-7+5

X=-2

Hope this helps

75 - 4 × (4 - 2)3



AHHH HELP!

Answers

Answer:

75−4(4−2)^3

=43

What’s the radius of a circle with a 4 inch diameter

Answers

Answer:

The radius of the circle with 4 inch diameter is 2 inches

Step-by-step explanation:

This is the formula here:

d = 2r

The radius is solved here:

r = [tex]\frac{d}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 inches

Which points can be used in the diagram as the third vertex to create a right triangle with hypotenuse XY? Select all that apply. (-4, -2) (-2, 1) (-2,-2) (2, 4) (3, 4)

Answers

Answer:

(-2,-2) and (3,4)

Step-by-step explanation:

Edge 2020

Answer:

the other person is right -2, -2 and 3, 4

Step-by-step explanation:

I had to do this

A train traveling through Japan has 909090 passengers.
525252 passengers get off in Tokyo. In Yokohama, another 292929 passengers get off the train.
How many passengers are still on the train?

Answers

Answer:

  9

Step-by-step explanation:

After 81 passengers get off, only 9 passengers remain on the train of the original 90.

Please help me!!!!!!!

Answers

Answer:

Is A I think

Step-by-step explanation:

I hope this was helpful I did it on my book :)

Farmer Grainger's square plot yields 350
bushels of grain. To Increase the yield,
Grainger invests in a circular sprinkler pivot to
irrigate a square plot of land. When he places
the sprinkler at the center of the field and
stretches the arm to half the field's length, he
estimates that the sprinkler will triple the yield
over the irrigated circular area, even though
some land will not be irrigated.​

Answers

Answer:

a)  The yield for the circular area is the triple of the original yield so it is 1,050 bushels.

Average yield for the square plot= 899 bushels.

b) The ratio of irrigated area to the total area of the square plot is the same if we put the sprinkler in the center (with half side as the ratio) or in the corner (with ratio of the side of the square).

Step-by-step explanation:

The arm of the sprinkler goes half the length of the square plot, so the area irrigated is the circumscribed circle. See the picture attached (irrigated area).

The yield will triple in the irrigated area and the same as before in the non-irrigated area. The irrigated area is the area of the circle with radius equal to half the side of the square.

[tex]Y_c=3Y_0=3\cdot350=1,050[/tex]

The non-irrigated area is the area of the square less the area of the circle.

We can calculate the yield as:

[tex]Y=\dfrac{(3Y_o)\cdot A_c}{A_s}+\dfrac{Y_0(A_s-A_c)}{A_s}[/tex]

where Y0: original yield (350 bushels), Ac: area of the circle, and As: area of the square.

The ratio between the area of the circle and the area of the square is:

[tex]\dfrac{A_c}{A_s}=\dfrac{\pi r^2}{l^2}\\\\\\r=l/2\\\\\\\dfrac{A_c}{A_s}=\dfrac{\pi (l/2)^2}{l^2}=\dfrac{\pi l^2}{4l^2}=\dfrac{\pi}{4}\approx0.78[/tex]

We can now solve for the yield:

[tex]Y=\dfrac{(3Y_o)\cdot A_c}{A_s}+\dfrac{Y_0(A_s-A_c)}{A_s}\\\\\\Y=3Y_0\dfrac{\pi}{4}+Y_0(1-\dfrac{\pi}{4})=Y_0\left(\dfrac{3\pi}{4}+1-\dfrac{\pi}{4}\right)=Y_0\left(\dfrac{\pi}{2}+1\right)\\\\\\Y\approx2.57Y_0=2.57\cdot350=899.5[/tex]

b) If the arm is located in one corner of the square and the arm has a length of the side of the square, we have an irrigated area that is a quarter of a circle with radius l.

We can calculate the proportion of irrigated area in the square plot, and if it is bigger than the proportion of irrigated area when we have the sprinkler in the center (proportion of 0.78 of irrigated area), then it is better to put the sprinkler in the corner.

The ratio of the irrigated area to the total area is:

[tex]\dfrac{Aq}{A_s}=\dfrac{\pi r^2/4}{l^2}\\\\\\r=l\\\\\dfrac{Aq}{A_s}=\dfrac{\pi l^2/4}{l^2}=\dfrac{\pi}{4}\approx 0.78[/tex]

The ratio of irrigated area to the total area of the square plot is the same if we put the sprinkler in the center (with half side as the ratio) or in the corner (with ratio of the side of the square).

Which point on the number line represents the product (5) (negative 2) (negative 1)?

Answers

Answer:

10 (positive 10)

Step-by-step explanation:

5 times -2 is equal to -10.

-10 times -1 is equal to 10.

Answer:

postive 10

Step-by-step explanation:

What’s the correct answer for this?

Answers

Answer:

The lines have proportional slope

Step-by-step explanation:

because , they determined as slope !

hope it helpful !

mark as brainliest

Answer:

B

Step-by-step explanation:

The lines have equal slopes

-6/3= -2

And

-8/4 = -2 so both slopes are equal hence the lines are parallel

If you get 17 out of 20 questions correct on your next test, what percent of the test you answer incorrectly?

Answers

Answer: 85%

Step-by-step explanation:

You can use proportions to solve this answer.

17/20=x/100

Solve for X

17(100)/20=x

85=x

Answer:

15% incorrect

Step-by-step explanation:

17/20 = x/100

17 ×5= 85

20×5 = 100

85/100 correct

15/100 incorrect

Cos x if sin x cot x =5

Answers

Answer:

cos x = 5

Step-by-step explanation:

[tex] = > sinx.cotx = 5 \\ \\ = > \cancel{sinx}. \frac{cosx}{ \cancel{sinx}} = 5 \\ \\ = > cosx = 5[/tex]

The perimeter of a square garden is 52 feet. What is the length of each side?

Answers

Answer:

13

Step-by-step explanation:

13*4=52

After each charging, a battery is able to hold only 96% of the charge from the previous charging. The battery was used for 10 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?

Answers

Answer:

250 hours

Step-by-step explanation:

The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96)  and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².

This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is

[tex]a\frac{1-r^{n}}{1-r}[/tex], with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then

[tex]10\frac{1}{0.04} =10*25=250[/tex]

The sum of two numbers is 27. One of the numbers is three more than the other. Find the numbers. A) 20 and 7 B) 12 and 15 C) 13 and 14 D) -12 and -15

Answers

Answer:

A

Step-by-step explanation:

100 POINTS PLEASE ANSWERR THESE 2 QUESTIONS I CANT FAIL SUMMER SCHOOL

Answers

Answer:

question 7 is 9

question 8 is 11

Step-by-step explanation:

7) the square root of 81 is 9

8) the square root of 25 is 5 and the square root of 36 is 6

5+6=11

Answer:

7) 9

8) 11

Step-by-step explanation:

√81=9

√25=5           √36=6

5+6=11

NEED THIS ASP!!!!!!!!!!!!!!!!!!!!!!! Which inequality represents the sentence?

The sum of negative 3.2 and 1.5 times a number is a maximum of 8.6.
–3.2n + 1.5 Less-than-or-equal-to 8.6
–3.2n + 1.5 Greater-than-or-equal-to 8.6
–3.2 + 1.5n Less-than-or-equal-to 8.6
3.2 + 1.5n Less-than-or-equal-to 8.6

Answers

Answer: c, -3.2 + 1.5n less-than-or-equal-to 8.6

Step-by-step explanation:

I got it right on the quiz

Answer:

the answer is c

Step-by-step explanation:

just did the assignment got 100%


the answers are
a) 1°
b)14°
c)24°
d)31°

Answers

Answer:

b) 14°

Step-by-step explanation:

To solve this, you need to make an equation. since a line is equal to 180°, you can add the two angles together. for example, x+96+5x=180. you would write this because these two angles are on a line, which makes the total sum 180°. now you solve: 6x+96=180. 6x=84. x=14°. :)

Answer:

14

Step-by-step explanation:

Out of 120 students at a pep rally 15 did not wear green. What percent of students at the rally did wear green

Answers

Answer:

87.5%

Step-by-step explanation:

First we find the number of students that did wear green which is 120-15=105. Then we need to find what percentage of these students who did wear green so we divide 105 by 120 which is .875. To find this number in percent form, we multiply this number by 100 which gives us 87.5%.

Answer:

87.5%

Step-by-step explanation:

Hope this helps have a wonderful day

Which algebraic expression is a polynomial with a degree of 2?
4x3 - 2x
10x2 - VX
8x3+3+3
6x2 - 6x + 5

Answers

Answer:

B and D

Step-by-step explanation:

10x^2 -vx [ has the highest power of X as 2 , so it is to degree 2].

6x^2 - 6x + 5[ has the highest power of x as 2; hence it is to degree 2]

What’s the correct answer for this?

Answers

Answer:

FIRST option is the correct answer

Step-by-step explanation:

First option is the correct answer.

[tex] (x+11)^2 + (y+ 6)^2 = 324\\

(x+11)^2 + (y+ 6)^2 = 18^2 \\[/tex]

Equating it with:

[tex] (x-h)^2 + (y-k)^2 = r^2 \\

- h = 11\implies h = - 11\\

- k= 6\implies k = - 6\\

Center = (-h, \: - k) = (11,\: 6)\\

r^2 = 18^2 \\

Radius= 18\: units [/tex]

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

C. [tex]F(x) = -x^2 - 3[/tex]

Step-by-step explanation:

The function, F(x), has flipped over the x-axis (as seen) meaning that the function has to have a negative sign in front. The function has also shifted downwards 3 units, meaning that 3 has to have been subtracted from the function.

This makes "C," the correct answer, as it fulfills these requirements.

Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside. The city route is shorter in miles, but has more stoplights. The country route is longer in miles, but has only a few stop signs and stoplights. Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.
Country Route - 17, 15, 17, 16, 18
City Route - 18, 13, 20, 10, 16
It is important to Jean to arrive on time for her classes, but she does not want to arrive too early because that would increase her parking fees.
A) Based on the data gathered, which route would you advise her to choose?

Answers

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18  (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

The pyramid shown is cut into two pieces by slicing vertically from point P to the square base TVWX. This cuts the square base into two equal-sized rectangles. Which describes the cross-section of the square pyramid with this cut?

Answers

Answer:

hty

Step-by-step explanation:

Answer:

a triangle

Step-by-step explanation:

if you cut the shape in half, it would be a triangle but at an angle.

hope this helps!

if 20%of people like skittles and 20 people were surveyed how many of them liked skittles​

Answers

Answer:

4

Step-by-step explanation:

20x.2 or 20x(1/5)

Answer:

4

Step-by-step explanation:

Imagine we wanted to investigate whether the reason for quitting smoking affects success rate. We recruited a sample of 120 smokers. Half wanted to quit to improve their appearance (yellow teeth and bad breath, etc) and half wanted to quit to improve their health (life expectancy, etc). After six months we measured how successful they had been at quitting smoking. The data were skewed, so we ran a Mann-Whitney test on the data (output below)
a) People who wanted to quit smoking to improve their appearance (M= 66.91) were significantly more successful at quitting than those who wanted to quit to improve their health (M= 54.09), U = -2.04, z = 188.57, p = .04
b) People who wanted to quit smoking to improve their appearance did not significantly differ from those who wanted to quit to improve their health, U = 1415.50, z = -2.04, p = .04
c) People who wanted to quit smoking to improve their health were significantly more successful at quitting than those who wanted to quit to improve their appearance, U = 1415.50, z = -2.04, p = .04
d) People who wanted to quit smoking to improve their appearance were significantly more successful at quitting than those who wanted to quit to improve their health,, U = 1415.50, z = -2.04, p = .04.

Answers

Answer:

I think is C

Step-by-step explanation:

What is another way to say 345 centimeters?

345 cm
345 cg
345 mm
34.5 dl

Answers

345 cm

this is because cm is the abbreviation of centimeters.

Mr. Wilson wants to build a square roof for his square deck in the back yard.
The roof will be 12 feet long on each side. He uses the formula (A = s) to
find the area of the roof. What will be the area of the square roof on Mr.
Wilson's deck? (give only the number value of your answer) *​

Answers

Answer:

The area of the square roof is 144 square feet.

Step-by-step explanation:

Givens

He wants to build a square roof.The roof will be 12 feet long.

We know that the area of a square is

[tex]A=s^{2}[/tex]

Where [tex]s=12 \ ft[/tex], according to the problem.

Replacing this value, we have

[tex]A=(12 \ ft)^{2} =144 \ ft^{2}[/tex]

Therefore, the area of the square roof is 144 square feet.

Answer: the area of the roof is 144 feet squared for each side (up and down), adding to a total of 288 ft^2

Step-by-step explanation:

If the roof is a square with a side lenght L =  12 feet, then we use the fact that the area of a square is equal to the square of the side lenght of the square, this is:

A = L^2  = (12 ft)^2 = 144 ft^2

Now, Mr. wilson uses the equation A = s, this is because the roof has 2 surfaces, one up and one bottom, then the total area is 2 times the value that we find earlier:

2*144 ft^2 = 288 ft^2

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