In a classroom of 20 students, 70% of them have brown eyes. If a teacher picks two students
at random to pass out supplies, what is the probability he chooses two students without brown
eyes?
49
A)
100
B)
91
190
3
C)
38
9
D)
100

Answers

Answer 1

Answer:

The probability is 9/100

Step-by-step explanation:

First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students

The number of students without brown eyes is thus 20 -14 = 6 students

Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10

Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.

In probability, once we have the work and, we multiply.

So our answer here is 3/10 * 3/10 = 9/100


Related Questions

Mr. Anderson has 4 recipes for granola. Which recipe has the greatest ratio of honey to oats?

Answers

Answer:

Recipe 3 has the greatest honey to oats ratio amongst the 4 recipes.

Step-by-step explanation:

Complete Question

Mr. Anderson has 4 recipes for granola. Recipe 1

A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 5, 10, 15. Column 2 is labeled Oats (cups) with entries 2, 4, 6.

Recipe 2

A 2-column table with 3 rows is titled Recipe 2. Column 1 is labeled Honey (tablespoons) with entries 6, 10, 14. Column 2 is labeled Oats (cups) with entries 3, 5, 7.

Recipe 3

A 2-column table with 3 rows is titled Recipe 3. Column 1 is labeled Honey (tablespoons) with entries 3, 6, 9. Column 2 is labeled Oats (cups) with entries 1, 2, 3.

Recipe 4

A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 8, 10, 12. Column 2 is labeled Oats (cups) with entries 4, 5, 6.

Which recipe has the greatest ratio of honey to oats?

Solution

Computing the ratio of honey to oats for each of recipes

Recipe 1

Honey | 5 | 10 | 15

Oats | 2 | 4 | 6

Honey to Oats ratio = (5/2) = (10/4) = (15/6) = 2.5 to 1.

Recipe 2

Honey | 6 | 10 | 14

Oats | 3 | 5 | 7

Honey to Oats ratio = (6/3) = (10/5) = (14/7) = 2 to 1.

Recipe 3

Honey | 3 | 6 | 9

Oats | 1 | 2 | 3

Honey to Oats ratio = (3/1) = (6/2) = (9/3) = 3 to 1.

Recipe 4

Honey | 8 | 10 | 12

Oats | 4 | 5 | 6

Honey to Oats ratio = (8/4) = (10/5) = (12/6) = 2 to 1.

Recipe 3 evidently has the greatest honey to oats ratio amongst the 4 recipes.

Hope this Helps!!!

Answer: Recipe 3

Step-by-step explanation:

HELP!!! Cumulative Exam!! Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8

Answers

Answer:

(B)[tex]\dfrac{1}{m^8}[/tex]

StartFraction 1 Over m Superscript 8 EndFraction

Step-by-step explanation:

We want to find the simplified form of: [tex]m^{-8}p^0[/tex]

[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]

The correct option is B.

Answer:

I am 80% sure its 1 if not then its 1/p

Step-by-step explanation:

The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an any quality for the temperature during the winter day. What constant should Digby use in the inequality?

Answers

Answer:

8

Step-by-step explanation:

y < mx+c

here  y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent  and m will be the gradient.

The temperature must always be less than 8 so c will be 8.

y < 8

8 should be the maximum value of the inequaltiy

Answer:

your anwser is 8

Step-by-step explanation:

At 94°F, a certain insect chirps at a rate of 60 times per minute, and at 96°F, they chirp 66 times per minute. Write an equation in slope-intercept form that represents the situation.

Answers

Answer:

[tex] (x_1 = 94 , y_1 = 60)[/tex]

[tex] (x_2 =96 ,y_2 = 66)[/tex]

And we can estimate the slope with the following formula:

[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]

And we can find the intercept using the first point given for example:

[tex] 60 = 3*94 +b[/tex]

And solving for b we got:

[tex] b = 60 -282 = -222[/tex]

And the model would be given by:

[tex] y = 3x -222[/tex]

Step-by-step explanation:

For this case we can assume that the interest is find an equation for the times per minute with the temperature. So then the independent variable (x) would be the temperature and the dependent (y) the times per minute. We want to adjust a linera model like this one:

[tex] y = mx +b[/tex]

We have the following info given:

[tex] (x_1 = 94 , y_1 = 60)[/tex]

[tex] (x_2 =96 ,y_2 = 66)[/tex]

And we can estimate the slope with the following formula:

[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]

And we can find the intercept using the first point given for example:

[tex] 60 = 3*94 +b[/tex]

And solving for b we got:

[tex] b = 60 -282 = -222[/tex]

And the model would be given by:

[tex] y = 3x -222[/tex]

Answer:

Step-by-step explanation:

Let " x "  denotes the temperature in degree Fahrenheit .

Let  " y " denotes the chirp rate per minute .

We have given that at 94 degree Fahrenheit , chirp rate is 64 times per minute and at 96 degree Fahrenheit , it is 118 times per minute .

We write this information in coordinate form ( x,y) .

We have ( x₁ ,y₁)  = ( 94 , 60 )  and  ( x₂ , y₂) = ( 96,66) .

                        y₂   - y ₁                     66  -   60                  6

Slope , m  =  ----------------------  =    ---------------------  =     -----------

                         x₂  - x₁                        96   -  94                   2

          Slope , m =  6/2 = 3 .

Equation of line in slope intercept form is

y = m x + b  where  ' m' is slope and ' b ' is intercept .

Plug value of m  , we get

y = 3 x + b .

To find value of b , we put ( 94 , 60 ) in place of x and y .

Put x = 94 and y = 60 , we get

60 = 3 * 94 + b

60  = 282 + b

60 - 282 =  b

- 222 = b

Thus we get b = - 222 .

So the equation become

y = 3 x - 222 .

Equation in slope intercept form representing the situation isy = 3 x - 222

Solve for 2.
Write the smaller solution first, and the larger solution second.
(3x – 6)(-x + 3) = 0
smaller x =
larger x =

Answers

Answer:

(3x – 6)(-x + 3) = 0

=> 3x - 6 = 0 => x = 6/3 = 2

and

=> -x + 3 = 0 => x = 3

Hope this helps!

:)

Please can people help??!!
Photo below

Answers

i think this is the method for solving it

Find the volume of this figure.
12 m
6 m
6m​

Answers

Answer:

432

Step-by-step explanation:

To get volume you need to multiply all of the numbers together (Length, height, and width). You need to multiply 6 and 6 (You get 36) and multply the answer by 12 to get 432.

Hope this helps!

(Also can I get Brainliest? Please?)

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet

Answers

Answer:20.6

Step-by-step explanation:

20.6

Answer:

C) 20.6

Step-by-step explanation:

just took the test

Michael was asked to give examples of the identity property of addition and the identity property of multiplication. Below are his answers.

Identity property of addition: 8 + 1 = 8

Identity property of multiplication: 8(0) = 0

What was Michael’s mistake?

He should have added 0 to 8 and multiplied 1 by 8.
He should have 8 + 1 = 9.
He should have 8(0) = 8.
He should have distributed the 8.

Answers

Answer:

He should have added 0 to 8 and multiplied 1 by 8

Step-by-step explanation:

Michael should have added 0 to 8 and multiplied 1 by 8.

What is multiplication?

Multiplication is the process of adding a number up to a given number.

The identity property of addition is 0 and the identity property of multiplication is 1.

Therefore, Michael should have added 0 to 8 and multiplied 1 by 8.

To learn more about multiplication, click here:

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Exponential Growth and Decay The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay. 5x 3(0.75)2t 35(2.4)x 5000(1.04)3t 0.05x 500(0.005)t

Answers

Answer:

First one: 5x3(0.75)2t

and fourth one: 0.05x500(0.005)t

Step-by-step explanation:

In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.

The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.

The second equation has rate = 2.4, so this is not an exponencial decay.

The third equation has rate = 1.04, so this is not an exponencial decay.

The fourth equation has rate = 0.005, so this is an exponencial decay.

Answer:

It's A,C,F

Step-by-step explanation:

I answered it :) and got it right.

distance between two points: what is the distance between 2, -3 and 8, -9?

Answers

Answer:

6sqrt(2) units

Step-by-step explanation:

Distance² = (-9 - -3)² + (8 - 2)²

Distance² = (-6)² + 6²

Distance² = 36 + 36

Distance² = 72

Distance = 6sqrt(2)

sqrt: square root

The distance between 2 and -3 is 5, and the distance between 8 and -9 is 17

This net will be folded to form a prism. A net of a rectangular prism. From top to bottom, the rectangles are labeled B, D, E, F. The left side is labeled A and the right side is labeled C. Which pairs of faces will be opposite one another when the prism is created? Check all that apply. D and F A and C A and B B and F B and E B and C E and F A and F

Answers

Answer:

D and F

A and C

B and E

Step-by-step explanation:

due to the fact that it is a rectangle prism, and the A is on the left  and  C is on the right, the other alphabet  B,D,E F is straight down, you have to fold the d and f first, then A and C and lastly B and E to form the prism

Answer:

a,b,e

Step-by-step explanation:

If (A:20:4:16) is a proportion the find out the value of A fastly​

Answers

Answer: A = 5

Step-by-step explanation:

I'll rewrite this as fractions.

[tex]\frac{A}{20}=\frac{4}{16}[/tex]

Solve for A,

[tex]A=\frac{20*4}{16}\\ A=\frac{80}{16}[/tex]

[tex]A=5[/tex]

5. Jack and Jill use rain gauges that are the same size and shape to measure rain on top of a hill. Jack
uses a rain gauge marked in fourths of an inch. Jill's gauge measures rain in eighths of an inch. On
Thursday, Jack's gauge measured inches of rain. Jill and Jack both had the same amount of water,
so what was the reading on Jill's gauge on Thursday? Draw a number line and write a sentence to
explain your thinking.

Answers

Answer:

List the multiples

1/4,2/4,3/4,4/4

1/8,2/8,3/8,4/8,5/8,6/8,7/8,8/8

1/4=2/8

2/4=4/8

4/4=8/8

Those numbers are the common fractions so they would be the only fractions that both Jack and Jill could get.

Step-by-step explanation:

The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?

Answers

Hint

If we define x to be the value of one of the factors, since 1 + 2 + 3 + 4 + 5 ... + 10 = 11(5) = 55, the value of the other factor has to be 55-x.

To maximize P, you'd like to make x as close as possible to the vertex you found. What if you want to minimize P? Remember x must be an integer.

I hope this helps :)

it was found that out of 45 girls,10 joined singing but not dancing and 24 joined dancing . how many joined but not singing ? how many joined both

Answers

11 are in both singing and dancing.
45-10 singing= 35 not singing
45-24 dancing = 21 not dancing
24+10= 34 in singing OR dancing,
Subtract the 34 from 45
which leaves 11 in both singing AND dancing.

21  girls joined but not singing and 14 girls joined both singing and dancing.

What are Arithmetic operations?

Arithmetic operations can also be specified by the, subtract, divide, and  multiply built-in functions.

Total no. of girls = 45

No. of girls are dancing = 24

No. of girls are singing but not dancing = 10

No. of girl are both singing and dancing = 24-10 = 14

No. of girls are dancing but not singing = 45-24=21

Hence, 21  girls joined but not singing and 14 girls joined both singing and dancing.

Learn more about Arithmetic operations

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Use the Trapezoidal Rule with n = 4 to approximate

0.3523
0.7048
0.2456
0.4913

Answers

Answer:

0.7048

Step-by-step explanation:

∫₂⁴ 1 / (x − 1)² dx

n = 4, so we divide the interval into 4 regions.  The width of the regions is:

(4 − 2) / 4 = 0.5

So the intervals are (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).

Evaluate f(x) at the ends of each interval.

f(2) = 1

f(2.5) = 4/9

f(3) = 1/4

f(3.5) = 4/25

f(4) = 1/9

Find the area of each trapezoid:

A₁ = ½ (2.5 − 2) (1 + 4/9) = 13/36

A₂ = ½ (3 − 2.5) (4/9 + 1/4) = 25/144

A₃ = ½ (3.5 − 3) (1/4 + 4/25) = 41/400

A₄ = ½ (4 − 3.5) (4/25 + 1/9) = 61/900

So the total approximate area is:

A = 0.705

Closest answer is 0.7048.

The value of expression is,

⇒ 0.7048

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ ∫₂⁴ 1 / (x − 1)² dx

Now, For n = 4, we divide the interval into 4 regions.  

Hence, The width of the regions is:

= (4 − 2) / 4

= 0.5

Thus, the intervals are,

⇒ (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).

Thus, We can evaluate f(x) at the ends of each interval as,

f(2) = 1

f(2.5) = 4/9

f(3) = 1/4

f(3.5) = 4/25

f(4) = 1/9

Hence, the area of each trapezoid are,

A₁ = 1/2 (2.5 − 2) (1 + 4/9) = 13/36

A₂ = 1/2 (3 − 2.5) (4/9 + 1/4) = 25/144

A₃ = 1/2 (3.5 − 3) (1/4 + 4/25) = 41/400

A₄ = 1/2 (4 − 3.5) (4/25 + 1/9) = 61/900

Therefore, the total approximate area is:

A = A₁ + A₂ + A₃ + A₄

A = 0.7048

Learn more about the mathematical expression visit:

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36 + 1.80 + 2.16 I'm stuck ​

Answers

Answer:

39.96 should be the right answer

Answer: 39.96

Step-by-step explanation:

36+1.80=37.80

Then you add 2.16

37.80+2.16=39.96

Which of the following is true of the values of x and y in the diagram below? A unit circle is shown. A radius with length 1 forms angle theta = StartFraction pi Over 4 EndFraction. The radius intersects point (x, y) on the unit circle. y < x y > x y + x = 1 StartFraction y Over x EndFraction = 1

Answers

Answer:

y/x = 1 got it right on edg

Step-by-step explanation:

Answer:

y/x = 1  on E2020

Step-by-step explanation:

Have a Great Day :)

Tamika’s math test scores (out of 30) are 25, 28, 26, 25, 8, 29, 28, 24, 23.


a)What is the outlier in this set?

b) Why might Tamika’s teacher decide to remove this outlier when calculating the average for her report card?

c) Which average is affected more by the removal of the outlier, the mean or median? Justify your answer.

I WILL GIVE BRAINLIEST IF YOU ANSWER ALL THE 3 QUESTIONS GOOD.

Answers

Answers:

A.) 8 is the outlier in the set. It is the only number that doesn't match with the others. It is the furthest from the median of the numbers.

B.) The outlier could represent false information. It could greatly drop the number of the mean, or the average, range of the scores.

C.) The mean is affected more. The mean of a set of numbers is the average of the set. The median just locates the middle-most number. The median would not always give an accurate representation of the average of the set like the mean would.

The area of a swimming pool is 120 sq meters. The width of the pool is 8 meters. what is the length of the pool in centimeters ?

Answers

120/8 = 15m
15m = 150cm
Answer 150cm

A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?

Answers

Answer:

Bronze

Step-by-step explanation:

To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:

Mass of necklace = 192g

Volume = 19.5cm^3

Density =...?

Density of a substance is simply defined as the mass of the substance per unit volume.

Density = Mass /volume

Density = 192g / 19.5cm^3

Density = 9.85g/cm^3

Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.

Therefore, the necklace is made of bronze.

how to make a dot plot

Answers

Answer:

draw a a big L and put your numbers

Draw a line horizontally and make values and put dots

pls help it will mean alot!!
due rn!!

Answers

Answer:

f(x) = 4^x

f(4) = 4^4 = 256

Hope this helps!

:)

the answer is 256 but i am not sure

hope this helps and be safe :)

Select The decimal that is equivalent to 7/8

Answers

Answer:

0.875

Step-by-step explanation:

look at the fraction as a division problem

8÷7

Is the percent increase for 50 to 70 = to the percent decrease from 70 to 50

Answers

Answer:

no it is not equal.

Step-by-step explanation:

when you calculate the percentages, you will find  that the increase has 40% while the decrease has about 28.6%

Answer:

No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.

Step-by-step explanation:

SAMPLE RESOND


.
A person invests 10000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the
person leave the
in the bank until it reaches 27400 dollars?
leave the money
r
A = P(1 + -)nt
n​

Answers

Answer:

The answer is 18.4 months.

In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.

How long is DEDED, E?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
3\sqrt{2}3
2

3, square root of, 2, end square root

(Choice B)
B
3\sqrt 33
3

3, square root of, 3, end square root

(Choice C)
C
666

(Choice D)
D
6\sqrt 26
2

6, square root of, 2, end square root

(Choice E)
E
999
Report a problem
Do 5 problems



Answers

Answer: A or 3 sqrt 2

Step-by-step explanation:

Answer:

3 sqrt 2

Step-by-step explanation:

Formula for a area of a circle

Answers

Answer:

A=(pie) r^2

Step-by-step explanation:

A = Area

(pie) = 3.14

r^2 = (r is the radius)

Answer:

pi r^2

Step-by-step explanation:

That is your answer

what is 5 + 5 /2 - 4 x 10

Answers

Step-by-step explanation:

use bodmas

start with multiplication

-4*10 = -40

5+5/2 - 40

addition next

5 + 5/2 = 7.5

7.5 - 40 = -32.5

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The system of linear equations 5x+3y=3 and X+y=-1 is graphed below.What is the solution to the system of equations?O (4,3)O 1-3.4) Some one help me plz IL MAKE YOU INTO A BRANLIST Select all the equations where a = 8 is a solution.Choose 3 answers:A 2 + 11 = 156 l = 8 + 015a = 230 42 = 7a Read the passage.Our region has experienced a record drought this year. The water level in the local reservoir has dropped by several feet. As a result, Councilman Garcia is proposing a water ban this summer. The ban would limit how often people can water their yards. There are several ways this ban will be effective.To improve the argument that the ban will be effective, what would be the best fact to add?a fact about Councilman Garciaa fact about the history of the regiona fact about the impact of the droughta fact about the creation of the reservoir Considering the limiting reactant, what is the mass of zinc sulfide produced from 0.250 g of zinc and 0.750 g of sulfur? 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