Seniors at a high school were asked what color car they drive. The results were put in a circle graph. The measure of each central angle is shown. If a senior is chosen at random from this school, find the probability of each response.


What Color Is Your Car?
Car color is not red or blue.


options:

0.51

0.47

0.53

0.49

Seniors At A High School Were Asked What Color Car They Drive. The Results Were Put In A Circle Graph.

Answers

Answer 1

Answer:

P(The color of the car is red)  is 0.32 .

P(The color of the car is white) is 0.34 .

P(The color of the car is silver) is 0.19 .

P(The color of the car is blue) is 0.15 .

P(car color is not red or blue) is 0.53 .

Step-by-step explanation:

We know that total angle subtended at the center by a complete circle is

360° .

According to the question,

P(The color of the car is red)

= [tex]\frac {115.2}{360}[/tex]

= 0.32

P(The color of the car is white)

= [tex]\frac {122.4}{360}[/tex]

= 0.34

P(The color of the car is silver)

= [tex]\frac {68.4}{360}[/tex]

= 0.19

P(The color of the car is blue)

= [tex]\frac {54}{360}[/tex]

= 0.15

So

P(car color is not red or blue)

= 1 - (0.15 + 0.32)

= 0.53

Answer 2

Answer:

0.53 is the correct answer.

Step-by-step explanation:


Related Questions

can you please help me i don't understand this​

Answers

Answer:

10) Supplementary; 11) Supplementary; 12) Complementary

Step-by-step explanation:

Sum of supplementary angles equals 180° while sum of complementary angles equals 90°.

For question 10

x + 70° = 180° (sum of straight lines)

x = 180° - 70° = 110°

Hence, 70° and 110° are supplementary angles.

For question 11,

x + 85° = 180° (sum of straight lines)

x = 180° - 85° = 95°

Hence, 85° and 95° are supplementary angles.

For question 12,

x + 32° = 90° (sum of right angles)

x = 90° - 32° = 58°

Hence, 32° and 58° are complementary angles.

EAM
on of the system of equations,
2x + 2y = 16
10x - 2y = 24​

Answers

Answer:

x=10/3, y=14/3. (10/3, 14/3).

Step-by-step explanation:

2x+2y=16

10x-2y=24

---------------

x+y=8

10x-2y=24

-----------------

x=8-y

10(8-y)-2y=24

80-10y-2y=24

80-12y=24

12y=80-24

12y=56

y=56/12=14/3

x=8-14/3=24/3-14/3=10/3

x=10/3, y=14/3.

-3(y+3)=2y+3
help plzs!!!!!!......​

Answers

Answer:

For the given expression -3( y + 3 ) = 2 y + 3  the value of  y = -2.4.

Step-by-step explanation:

Here, the given expression to be simplified : -3( y + 3 ) = 2 y + 3

Now, by DISTRIBUTIVE PROPERTY:

A (B +C)  = AB + AC

Simplifying the given expression:

-3( y + 3 ) = 2 y + 3  ⇒  -3 ( y) - 3 ( 3)  = 2 y + 3

or, -3y - 9 =  2y + 3

⇒ 3  y +  2 y = -3  -  9

or, 5 y  = -12   ⇒   y = -12/5  = -2.4

y = - 2.4

Hence,for the given expression -3( y + 3 ) = 2 y + 3  the simplified value of  y = -2.4

A function has y-intercept of -3 and a slope of 1/5. Which equation below describes the function?
A.
y = -3x + 1/5
B.
y = 1/5x2 - 3
C.
y = 1/5 + x - 3
D.
y = 1/5x - 3

Answers

y= mx+b slope intercept form

slope is also m

b is the y-intercept

y-intercept= -3

slope=1/5

answer:

D. y = 1/5x - 3

Paton knows she will make a selection from 36 total possible outcomes. Which statement might describe what Paton is doing? Check all that apply.

Answers

Answer: All but statement 1

Step-by-step explanation:

In order to get 36 as an outcome, the numbers need to multiply together in order to get 36. In other words, a*b*c*d*....= desired outcome number. In statement 1, 3*9=27, and therefore not 36 outcomes. The rest do multiply to 36.

Answer:

2,3,4,5

Step-by-step explanation:

Stay safe! Hope this helps!

Rebecca started with 30 pieces of candy and gave away x
pieces. Ana started with 45 pieces of candy and gave away
twice as many pieces as Rebecca did. How many pieces of
candy did Rebecca give away if they had the same number of
pieces of candy left?

Answers

Answer:

The correct answer would be 15.

Step-by-step explanation:

30-15=15

45-2(15)=15

Best answer should be the 15

3/5 with an exponent of 4

Answers

Step-by-step explanation:

[tex]\text{If is}\ \dfrac{3}{5}^4,\ \text{then}\ \dfrac{3}{5}^4=\dfrac{3\cdot3\cdot3\cdot3}{5}=\dfrac{81}{5}=16\dfrac{1}{5}\\\\\text{If is}\ \left(\dfrac{3}{5}\right)^4=\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)=\dfrac{3\cdot3\cdot3\cdot3}{5\cdot5\cdot5\cdot5}=\dfrac{81}{625}[/tex]

add the polynomials

3x^5-2x^3+4x
+ 4x^6-5x^5+4x^3-x^2

Answers

Answer: B

4x^{6} - 2x^{5} + 4x^{3} -x^{2} +4x

Step-by-step explanation:

3x⁵ - 2x³ + 4x  + 4x⁶ - 5x⁵ + 4x³ - x² =

= 4x⁶ + 3x⁵ - 5x⁵ - 2x³ + 4x³ - x² + 4x

= 4x⁶ - 2x⁵ + 2x³ - x² + 4x

Solve.
5. During the summer, Jayden
volunteers at the library for 20 hours
each week for 7 weeks. How many
hours does Jayden volunteer in all?
How many hours did Jayden volunteer

Answers

Answer:

he volunteered 140 hours

Step-by-step explanation:

20*7=140

$132 in the ratio 2:3:6.

Answers

Answer:

$132 in ratio of 2:3:6 is $24, $36 and $72.

Step-by-step explanation:

Dividing $132 in ratio of 2:3:6

Let share of first be = [tex]2x[/tex]

Share of second will be = [tex]3x[/tex]

Share of third will be = [tex]6x[/tex]

Adding the shares

⇒ [tex]2x+3x+6x=11x[/tex]

Total value = $132

So we have,

[tex]11x=132[/tex]

Dividing both ides by 11.

[tex]\frac{11x}{11}=\frac{132}{11}[/tex]

[tex]x=12[/tex]

∴ First share = [tex]2\times 12=\$24[/tex]

∴ Second share = [tex]3\times 12=\$36[/tex]

∴ Third share = [tex]6\times 12=\$72[/tex]

what is the percent decrease from 5000 to 4000?

Answers

Answer:

20%

Step-by-step explanation:

5000 - 4000 = 1000

[tex]\frac{1000}{5000}[/tex] × 100

[tex]\frac{1}{5}[/tex] × 100

0.2 × 100 = 20%

Check:

5000 - 20% of 5000

5000 - 2/10 × 5000

5000 - 1000

= 4000

Answer:

20% decrement

Steps:

➥5000-x% of 5000=400

➥5000-x% × 5000=4000

➥5000-4000=x% × 5000

➥1000=x% × 5000

➥x%=1000/5000

➥x%=0.2

➥x%=20/100

x%=20%

Whats the slope (1,2) (3,-4)

Answers

Answer:

the slope is -3

m=-3

i tried my best :(

Which only lists multiples of 16?
O
1, 2, 4, 8, 16
16, 24, 32, 40
16, 32, 48, 64
1, 2, 4, 8, 12, 16

Answers

16, 32, 48, 64

16 = 16x1

32 = 16x2

48 = 16x3

64 = 16x4

Answer:

C

Step-by-step explanation:

Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown below?
a rectangle
a square
a kite
a trapezoid​

Answers

A trapezoid I think

Answer:

Trapezoid

Step-by-step explanation:

sin x= 1.5
value of x

Answers

Answer:

x = π - sin^(-1)(3/2) + 2 π n_1 for n_1 element Z

or x = 2 π n_2 + sin^(-1)(3/2) for n_2 element Z

Step-by-step explanation:

Solve for x:

sin(x) = 1.5

1.5 = 3/2:

sin(x) = 3/2

Take the inverse sine of both sides:

Answer:  x = π - sin^(-1)(3/2) + 2 π n_1 for n_1 element Z

or x = 2 π n_2 + sin^(-1)(3/2) for n_2 element Z

Molly has walked 80% of the way to school.She has walked 16 blocks.How many blocks is her whole trip to school?

Answers

Answer:

20 blocks

Step-by-step explanation:

80% = 0.8

16 / 0.8 = 20

What is 2/8+1/6 in the simplest form.

Answers

Answer:

20/48

Step-by-step explanation:

Answer:

I think it would be 1/4+1/6

Step-by-step explanation:

2/8 can be simplified by 2 because 2 goes into 2 once so 1 and 2 goes into 8, 4 times so that equals 1/4 and I believe the 1/6 is already simplified.

A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence? f(x) = 24(Three-halves) Superscript x minus 1 f(x) = 16(Three-halves) Superscript x minus 1 f(x) = 24(Three-halves) Superscript x f(x) = 16(Three-halves) Superscript x

Answers

Answer:

[tex]f(x)=16\, (\frac{3}{2} )^{x-1}[/tex]

Step-by-step explanation:

Since we are given the common ratio (3/2), all we need to find to define the geometric sequence, is its multiplicative factor ([tex]a[/tex]) that corresponds to the first term of the sequence - remember that all consecutive terms will be generated by multiplying this first value repeatedly by the common ratio (3/2) as shown below:  

[tex]f(1)=a\\f(2)=a\,*\,(\frac{3}{2} )\\f(3)=a\,*\,(\frac{3}{2} )^2\\f(4)=a\,*\,(\frac{3}{2} )^3\\f(5)=a\,*\,(\frac{3}{2} )^4[/tex]

Since we are given the information that [tex]f(5)=81[/tex] we can use this to find the value of the first term:

[tex]f(5)=\,a\,*\,(\frac{3}{2} )^4\\81=\,a\,*(\frac{81}{16} )\\a\,*\,81=\,81\.*\,16\\a\,=\,16[/tex]

Notice as well that the first term doesn't contain the common ratio, the second term contains the common ration (3/2) to the power one, the third one contains the common ratio to the power two, the fourth one contains it to the power three, and so forth. So the exponent at which the common ratio appears is always one unit less than the order (x) of the term in question. This concept helps us finalize the expression for the sequence's formula:

[tex]f(x)=16\,*\,(\frac{3}{2} )^{x-1}[/tex]

Answer:

B

The other answer was too long.

what is 776.732 in word form ?

Answers

Answer: seven hundred seventy six and seven thousand thirty two thousandths

Step-by-step explanation:

Answer:

seven hundred and seventy six and seven hundred thirty two thousandths

Help finding the volume

Answers

Answer:

Using [tex]\pi =3.14[/tex] the volume of the cylinder is [tex]1471.875\ m^{3}[/tex]

Step-by-step explanation:

We are using [tex]\pi =3.14[/tex].

We know that volume of a cylinder is [tex]\pi (r)^2h[/tex]

For this we have

Height of the cylinder is given that is [tex]18.75\ m[/tex]

And the radius of the cylinder is unknown,

But there is a hint in which we can see that the diagonal,height and diameter forms a right angled triangle (or a cone).

Where [tex]21.25\ m[/tex] is the hypotenuse.

Using Pythagoras formula.

[tex](Hypotenuse)^2=(base)^2+(perpendicular)^2[/tex]

We can find the value of diameter which is the base over here.

So,

[tex]d=\sqrt{(21.25)^2-(18.75)^2}=\sqrt{(451.56-351.56)}=\sqrt{(100)}=10\ m[/tex]

Then radius [tex]\frac{diameter}{2} =\frac{10}{2}=5\ m[/tex]

Now using the above values and plugging it on to the formula.

Volume [tex]=\pi (r)^2h=(3.14)(5)^2\times 18.75=1471.875\ m^3[/tex]

So the volume of the cylinder is [tex]1471.875\ m^3[/tex]

PLEASE HELPPPP ! 16^x=64^x+4

Answers

Answer:

x = -12

Step-by-step explanation:

Set logs up on both sides-

log 16^x = log 64^x+4

The variable goes behind because of the exponent log property (exponents are permitted to go behind the log to multiply)-

x * log 16 = x + 4 * log 64

Divide both logs out-

log 64/log 16 = 1.5

Simplify-

x = x+4(1.5)

1.5x + 6 = x

Remove 1.5-

1 - 1.5 = -.5x

Simplify-

-.5x = 6

Divide both sides-

6/-.5x = -12

Hence, the answer would be -12

What is a quarter of 200

Answers

Answer:

50

Step-by-step explanation:

200/2=100

100/2=50

A quarter of something is just another word for a fourth of something (1/4th).

We can solve this using two different ways.

Solution #1:

1/4 = 0.25

200 * 0.25 = 50 (quarter of 200)

Solution #2:

200 / 4 = 50 (quarter of 200)

______

Best Regards,

Wolfyy :)

Which statement shows the associative property of addition?


(d + 4) + 17 = 17 + (d + 4)

13 + 5a = 5a + 13

7⋅(4⋅x)=(7⋅4)⋅x

(18 + 6) + y = 18 + (6 + y)

Answers

Answer:

(18 + 6) + y = 18 + (6 + y)

Step-by-step explanation:

Answer:

the answer is (18 + 6) + y = 18 + (6 + y )

Step-by-step explanation:

i did the quiz and got it right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

hope this helps!!!!!!!!!!!!!!!!!!!11

A hockey puck slides across an ice pond at a constant speed of 18 meters per second. Complete the table to determine the distance the hockey puck slides at different times.

Answers

Answer:

1       18

2       36

3       54

4       72

Step-by-step explanation:

18 m/s every second means you multiply the time by rate (to get the distance traveled in 2 seconds, multiply 18m/s by 2 to get 36)

A piece of cloth costs 200$.if the piece was 5m longer, and the cost of each metre of clth was 2$ less, the cost of the piece would have remained unchanged. How long is the piece and what is its original number of persons.

Answers

Answer:

20 m long,

each piece of cloth for $10

Step-by-step explanation:

Let x m be the length of the piece of cloth.

Original cloth:

Length = x m

Cost = $200

Cost per meter [tex]\dfrac{\$200}{x}[/tex]

Changed cloth:

Length = x + 5 m (5 m longer)

Cost = $200

Cost per meter [tex]\dfrac{\$200}{x}-\$2[/tex] (each metre of cloth was $2 less)

Hence,

[tex]\left(\dfrac{200}{x}-2\right)\cdot (x+5)=200[/tex]

Multiply the equation by x:

[tex](200-2x)(x+5)=200x\\ \\200x+1,000-2x^2-10x=200x\\ \\-2x^2-10x+1,000=0\\ \\x^2+5x-500=0\\ \\D=5^2-4\cdot(-500)=25+2,000=2,025\\ \\x_{1,2}=\dfrac{-5\pm\sqrt{2,025}}{2}=\dfrac{-5\pm 45}{2}=-25,\ 20[/tex]

The length cannot be negative, so x = 20 m, each metre for $10.

Answer:

The piece is 20 m long and costs $10 per meter

Step-by-step explanation:

The total cost of the cloth in $ can be expressed as

C = xu

Where x is the length of the cloth in m, and u is the unit cost in $/m

The problem states that if the length was 5 meters more and the unit cost was $2 less, the cost would not change, that is

C = (x+5)(u-2)

Operating:

C = xu-2x+5u-10

Since C = xu, then

-2x+5u=10         [1]

We also know that

xu=200        [2]

Isolating u in [1] we get

[tex]u=\frac{10+2x}{5}[/tex]

Replacing into [2]

[tex]x\frac{10+2x}{5}=200[/tex]

Simplifying

[tex]10x+2x^2=1000 \\=> x^2+5x-500=0[/tex]

Factoring

(x-20)(x+25)=0

Which gives x=20, x=-25. We can only use the positive value of x, so

x=20 m  and therefore

u=200/20=10$

So the piece is 20 m long and costs $10 per meter

A gardener at a nursery is filling pots with soil to prepare to
transplant seedlings into these larger pots. Each new pot needs about 27 cubic inches
of soil. The amount of soil s (in cubic inches) it takes to fill p pots is given by the
function s = 27p
a.
The gardener is filling the pots from a bag of soil that contains 3456 cubic
inches of soil. How many pots can be filled from the bag?
b.
Suppose the gardener needs to fill at most 109 pots. How much soil (in cubic
inches) will the gardener need?

Answers

Answer:

a. 127 pots

b. 2,943 cubic inches

Step-by-step explanation:

To find the amount of pots of soil can be filled, you can use the equation given. s = 3456 in part a

a.

s = 27p

3456 = 27p

divide 3456 by 27 to isolate p

p = 127 pots

Instead of substituting for s like in part a, you can now substitute for p, since you know that you need to fill 109 pots.

b.

s = 27 * 109

s = 2943 cubic inches

The gardener can fill 128 pots with the 3456 cubic inches of soil available. If the gardener needs to fill at most 109 pots, they will require 2943 cubic inches of soil.

To solve both parts of the question, we will use the function s = 27p, where s represents the amount of soil (in cubic inches) and p represents the number of pots.

Part a: Calculating the Number of Pots

The gardener has a bag containing 3456 cubic inches of soil. To find out how many pots can be filled from the bag, we need to divide the total amount of soil by the amount needed per pot:

p = 3456 cubic inches / 27 cubic inches per pot = 128 pots

Part b: Soil Needed for a Maximum Number of Pots

If the gardener needs to fill at most 109 pots, the total amount of soil required can be calculated using the provided function:

s = 27 cubic inches per pot * 109 pots = 2943 cubic inches of soil

A line passes through the point (6,1) and has a slope of -3.

Write an equation in point-slope form for this line

Answers

[tex]\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{1})~\hspace{10em} \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-3}(x-\stackrel{x_1}{6})[/tex]

There are 472 students in different
grades. Each grade has about the same
number of students. Select all the
statements that are reasonable
estimates for the number of students in
each grade.
n 50 students, because 472 = 6 is
about 450 = 5.
80 students, because 472 = 6 is
about 480 - 6.
100 students, because 472 4 6 is
about 500 = 5.
150 students, because 472 = 6 is
about 450 = 3.
200 students, because 472 = 6 is
about 1,200 + 6 = 200.

Answers

Final answer:

Reasonable estimates for the number of students per grade when there are 472 students total are 50, 80, or 100 students per grade.

Explanation:

The student's question asks for reasonable estimates for the number of students in each grade if there are 472 students in different grades with about the same number of students in each grade.

Let's examine the options given:

50 students, because 472 ÷ 9 is about 450 ÷ 9, which yields 50 students per grade.80 students, because 472 ÷ 6 is indeed close to 480 ÷ 6, which would result in about 80 students per grade.100 students, because 472 ÷ 5 is close to 500 ÷ 5, translating to 100 students per grade.150 students is not a reasonable estimate because 472 ÷ 3 is about 157, which is significantly off from 150.200 students is not reasonable either since 472 ÷ 2 is 236 and 1,200 ÷ 6 is not closely related to this problem.

Therefore, reasonable estimates for the number of students per grade are 50 students, 80 students, and 100 students.

(3.6 x 10^-5) + (3.5 x 10^-5)
Write your answer in scientific notation.​

Answers

Answer:

(3.6 × 10^-5) + (3.5 × 10^-5) = 7.1 × 10^-5

Points A and B lie in plane R Line AB does not lie in plane RI
always
sometimes
never

Answers

Answer:

The question has been presented in a complicated manner. I am answering the question based on my understanding. Line AB will never lie in plane R. The correct option among all the options that are given in the question is the third option.

hope I helped you answer your question:)

Answer:

never

Step-by-step explanation:

Other Questions
One difference between mixtures and pure substances is that Based on the lesson,what can you infer About Buddhist. Carney Company manufactures cappuccino makers. For the first eight months of 2019, the company reported the following operating results while operating at 80% of plant capacity: Sales (500,000 units) $90,000,000 Cost of goods sold 54,000,000 Gross profit 36,000,000 Operating expenses 24,000,000 Net income $12,000,000 An analysis of costs and expenses reveals that variable cost of goods sold is $95 per unit and variable operating expenses are $35 per unit. In September, Carney Company receives a special order for 40,000 machines at $135 each from a major coffee shop franchise. Acceptance of the order would result in $10,000 of shipping costs but no increase in fixed expenses. Collapse question part (a) Prepare an incremental analysis for the special order. Which of the following best describes Roosevelt's beliefs about U.S. foreign policy in Latin America?A. American interests were best focused on domestic policies.B. The U.S. had no need to expand its influence in Latin America.C. The U.S. had no need to interfere in Central and South America.D. American interests benefited the rest of the Western Hemisphere. Two electrons 1 and 2 move along antiparallel paths separated by a distance of 10 nm, traveling at speeds 4.5 x 10^7 m/s and 8.0 x 10^6 m/s. Part A) What is the magnitude of the magnetic force exerted by electron 2 on electron 1? Express your answer with the appropriate units. The policy that kept the united states out of the war for three years was called Who is to get enough money to go on a field trip, every student in a club has to raise 53 by selling chocolate bars. There are 9 students in the club how much money does the club need to raise to go on the field role of national organization to control social problem There are 472 students in differentgrades. Each grade has about the samenumber of students. Select all thestatements that are reasonableestimates for the number of students ineach grade.n 50 students, because 472 = 6 isabout 450 = 5.80 students, because 472 = 6 isabout 480 - 6.100 students, because 472 4 6 isabout 500 = 5.150 students, because 472 = 6 isabout 450 = 3.200 students, because 472 = 6 isabout 1,200 + 6 = 200. A uniform disk with a mass of 5.0 kg and diameter 30 cm rotates on a frictionless fixed axis through its center and perpendicular to the disk faces. A uniform force of 4.0 N is applied tangentially to the rim of the disk. What is the angular acceleration of the disk? An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a particular disk is spun at 646.1 rad/s while it is being read, and then is allowed to come to rest over 0.569 seconds, what is the magnitude of the average angular acceleration of the disk? which of the following is a measure of disorder or randomnessa. energyb. temperaturec.heatd.entropy Why is it important for immigrant children have a comprehensive, comprehensible meansof learning academic subjects? A function has y-intercept of -3 and a slope of 1/5. Which equation below describes the function? A. y = -3x + 1/5 B. y = 1/5x2 - 3 C. y = 1/5 + x - 3 D. y = 1/5x - 3 Cyanobacteria are important to the evolution and advancements of other life on earth because they Joanne is 44 and has recently been second guessing and reevaluating her religious and political beliefs. According to the text, Joanne would likely be in the _____ crisis of Erikson's stages of adulthood. what is 776.732 in word form ? What is the remainder when 6x+12 is divided by 2x-8. A new potential heart medicine, code-named X-281, is being tested by a pharmaceutical company, Pharma-pill. As a research technician at Pharma-pill, you are told that X-281 is a monoprotic weak acid, but because of security concerns, the actual chemical formula must remain top secret. The company is interested in the drug's Ka value because only the dissociated form of the chemical is active in preventing cholesterol buildup in arteries.To find the pKa of X-281, you prepare a 0.089 M test solution of X-281 at 25.0 C. The pH of the solution is determined to be 2.40. a. What is the pKa of X-281? Express your answer numerically.At 25C, for any conjugate acid-base pairpKa + pKb = 14.00b. What is pKb of the conjugate base of X-281? (Assume 25 C.) Express your answer numerically. Which of the following best describes why Mathilde is unhappy? A.Her marriage is falling apart B. She has no children C.She is not wealthy D. She is unemployed