A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.








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A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.

Answers

Answer 1

Answer:

the probability is 1/80

Step-by-step explanation:

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Answer 2

Answer:

the probability is 1/80

Step-by-step explanation:

Please give brainliest


Related Questions

A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is StartFraction 2 over 25 EndFraction. How many blue marbles are in the bag? 2 3 5 6

Answers

Answer:

The correct answer is 6.

Step-by-step explanation:

There are "six" blue marbles in the given bag, which is the correct answer would be an option (D).

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth.

The probability of randomly selecting a green marble and then randomly selecting a blue marble is 1/5 x P(blue), where P(blue) is the probability of selecting a blue marble.

As per the question, the probability of this event is 2/25, so we can set up the equation 1/5 x P(blue) = 2/25.

Solving for P(blue), we find that P(blue) = 2/5.

Since the probability of selecting a blue marble is 2/5, and there are 15 marbles in the bag, the number of blue marbles in the bag must be 15 x (2/5) = 6.

Therefore, the number of blue marbles in the bag must be 6.

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A company is expanding its building area from 16,500 square feet to 20,460 square feet. What is the percentage increase of the area of the building space?

Answers

Answer: 24%

Step-by-step explanation:

A company is expanding its building area from 16,500 square feet to 20,460 square feet. To calculate the percentage increase in the area of the building space, we first find the difference. This will be:

20,460 - 16,500 = 3960

We then divide the difference by the former building area and then multiply by 100. This will be:

3960/16500 × 100

= 0.24 × 100

= 24%

The percentage increase of the area of the building space is 24%.

I need help ASAP! I don’t understand this so I was hoping anyone would help

Answers

199.8, just use the Pythagorean theorem (a^2 + b^2 = c^2) where a is 24 and b is 18, once you find c multiply c by 6 to get your answer. C should be 33.286

please help with this question !

Answers

Answer:

g(-5) = -6

Step-by-step explanation:

g(-5) is the value of the function when x = -5

When x = -5 the function ( or y value) is -6

Will mark as brainliest if correct

Answers

Answer:

62

Step-by-step explanation:

hope this helps

Rock stars Ewe and Eye were both born on Sunday, January 1. When Ewe turned 13 years old Eye could not have been _____ years old

A) 6

B) 7

C)8

D) 13


√1×2×3×4×5×6×7×8×9×10

A) 30 + √7

B) 30 × √7

C) 720 + √7

D) 720 × √7

Answers

The answer is C because

Anna sees a thermometer each morning when she walks out of her house to get on the school bus. In the following table, she recorded the outdoor temperature each morning for five days.

Monday -2
Tuesday -3
Wednesday -8
Thursday -5
Friday 0

Based on Anna's data, select the correct statement.


Friday morning had the coldest temperature.

It becomes colder each morning of the week.

It was warmer on Wednesday morning than Tuesday morning.

It was colder on Wednesday morning than Monday morning.


Answers

Answer:

It was colder on Wednesday morning than Monday morning.

Step-by-step explanation:

(How I know)

-Friday did not have the coldest temperature because Wednesday did.

-it became warmer after Wednesday

-It was colder on Wednesday morning than on Tuesday morning

--8 degrees is colder than -2 degrees.

It was colder on Wednesday morning than Monday morning. Then the correct option is D.

What is the temperature?

The degree of warmness and coldness is determined by the temperature.

Anna sees a thermometer each morning when she walks out of her house to get on the school bus.

In the following table, she recorded the outdoor temperature each morning for five days.

      Days                         Temperature

   Monday                               -2 °C

  Tuesday                               -3 °C

Wednesday                            -8 °C

  Thursday                             -5 °C

    Friday                                 0 °C

If temperature is negative, then it means more coldness.

It was colder on Wednesday morning than Monday morning.

Then the correct option is D.

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what's the area of a right angle triangle by 3cm 4cm 5cm?

Answers

Answer:

12cm

Step-by-step explanation:

At the end of of any beginning year a car is worth 5% less than what it was worth at the beginning of the year. If certain car was worth $10,000 at the beginning of 2014, then its value at the end of 2014 was

Answers

Answer:

10,000-500=9,500 is  what it is worth

Step-by-step explanation:

list the intergers that satisfy both these inequalities 2x+9<0 and x>-12

Answers

Answer:

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1

(would really, reallly appreciate the brainliest)

Step-by-step explanation:

2x+9 < 9

can be rewritten as

2x < 0

and therefore

x < 0

the other inequality states that x hat to be bigger then -12

so all integers that satisfy -12 < x < 0 are in the set we search, but be aware that -12 and 0 don't fall into this set, bc -12 for example isn't bigger than -12

Answer:

The integers that satisfy both inequalities are -5, -6, -7, -8, -9, -10 and -11.

Step-by-step explanation:

Firstly, you have to solve the inequality :

[tex]2x + 9 < 0 [/tex]

[tex]2x < - 9[/tex]

[tex]x < - \frac{9}{2} [/tex]

[tex]x < - 4.5[/tex]

Next, given that x is greater than -12 but smaller than -4.5 so the inequality for x is :

[tex] - 12 < x < - 4.5[/tex]

Integer is a positive or a negative number but 'cannot be written in the form of decimal'. So the integers that satisfy both inequalities are :

[tex] - 12 < x < - 4.5[/tex]

[tex]x = - 11, - 10, - 9, - 8, - 7, - 6, - 5[/tex]

The scatter plot shows the relationship between the time t, in years after 1900, and the life expectancy L. in years, at birth for a certain
country.

Which of the following statements best describes the data on the scatter plot?

a) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) - 39.67t +0.37.
b) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) = -0.24t+74.33
c) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) -0.37t +39.67.
d) The data on the scatter plot does not suggest a linear association, so it cannot be modeled by a linear function.

Answers

Answer:

L (t) = 0.37t + 39.67

Step-by-step explanation:

I have this question

The scatter plot shows the relationship between the time t, in years after 1900, and the life expectancy L. in years, at birth for a certain country.

According to the given statements,

Statement(3):-

The data on the scatterplot suggests a linear association that could be modeled by the function L(t) -0.37t +39.67.

Therefore, Statement (3) is CORRECT.

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Find the solution for -3x - 5 = 10 “help me please

Answers

-3× - 5= 10+5

-3×=15

15÷-3 = -5

x= -5

Ruby has a basket of roses, lilies, orchids, and sunflowers. She picks a flower by chance and replaces it. She repeats this experiment 80 times and gets the results shown in the table.

rose- 16
lily- 24
orchid- 32
sunflower- 8

Which flower is there likely to be the fewest of in Ruby’s basket?

Answers

Answer:

Sunflower because it has the fewest number of them all

Sunflower is having the fewest number of 8 amongst all.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Ruby has a basket of roses, lilies, orchids, and sunflowers. She picks a flower by chance and replaces it. She repeats this experiment 80 times and gets the results shown in the table.

rose            -       16

lily               -       24

orchid         -       32

sunflower   -       8

From the above table we can see that the sunflower has the fewest number.

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Mrs. Lindy is purchasing notebooks for her students. She spends $52 dollar sign, 52 on notebooks. Each notebook costs $3.25 dollar sign, 3, point, 25.

Answers

Answer:

16 notebooks

Step-by-step explanation:

I think you are asking how many notebooks she bought? just do 52/3.25=16

Answer:

The answer is 16 notebooks or in this case C

Step-by-step explanation:

find a attached the question

Answers

Answer:

Using distance formula :

AB = [tex]\displaystyle \sqrt{(10-1)^2 + (3 - 7)^2}[/tex]

AB = [tex]\sqrt{81 + 16}[/tex]

AB = 9.85 units



plz help me i dont understand ​

Answers

Answer: "x" : 3, "star" : 2/3, "circle" : 2 1/3, "square" : 4 2/3

Step-by-step explanation:

The number line is divided into segments that are thirds of a whole number. The question is asking where the shapes fall on the number line. For shapes that do not fall on a whole number, they fall on a fractional portion of a whole number, hence why they are a mixed number.

The Kelvin scale is an absolute temperature scale that can be used to calculate percent change in temperatures. The formula to convert Celsius to Kelvin is K = C + 273.15. What is the percent change if the temperature rises from 21 c to 29 c? Round to the nearest tenrh

Answers

You can use the formula k=C+273

The percentage change in temperature is 19.0%.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the temperature rises from 21c to 29c.

The change in temperature is:

29c - 21c

= 4c

The percentage change in temperature from 21c is:

percentage change = (4c/21c)×100

                                 =4/21×100

                                 = 19.0%

Therefore, the percentage change in temperature is 19.0%.

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What is the image point of (9,0) after a translation left 2 units and up 5 units?

Answers

Answer:

(7, 5)

Step-by-step explanation:

9-2=7 x-coordinate

0+5=5 y-coordinate

Nicole runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

4.8 miles

Step-by-step explanation:

Let's make a proportion using this setup:

miles/minutes=miles/minutes

We know that Nicole runs 6 miles in 55 minutes. We don't know how many miles she runs in 44 minutes, so we can say she runs x miles in 44 minutes.

6 miles/55 minutes=x miles/44 minutes

6/55=x/44

Now, we have to find x. To do this, we need to get x by itself. x is being divided by 44. To undo this, multiply both sides by 44, since multiplication is the opposite of division.

44*(6/55)=(x/44)*44

The 44s on the right cancel, so we are left with:

44*6/55=x

4.8=x

Nicole can run 4.8 miles in 44 minutes

It takes a smaller hose 4 times as long to fill a certain swimming pool as it does a larger hose. It take both hoses working togetger 15 minutes to fill the pool. How long will it take the larger hose to fill the pool by itself?

Answers

Answer:

Larger hose will take 18 minutes and 45 seconds

Step-by-step explanation:

ONE smaller hose fills the pool in 5*15 = 75 minutes.One large hose can do this job in  75/4 minutes = 18 3/4 minutes = 18 minutes and 45 seconds

The larger hose will take 18 minutes and 45 seconds.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

One smaller hose fills the pool in 5 x 15 = 75 minutes.

One large hose can do this job,

Time = 75/4 minutes = 18 3/4 minutes

Time = 18 minutes and 45 seconds

Therefore, the larger hose will take 18 minutes and 45 seconds.

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What value in place of the question mark makes the polynomial below a
perfect square trinomial?
X2 + + 12x + ?

Answers

Answer:

36

Step-by-step explanation:

Given

x² + 12x

To make the polynomial a perfect square

add ( half the coefficient of the x- term)²

= x² + 12x + 6²

= x² + 12x + 36

= (x + 6)² ← a perfect square

A pet store owner, Brooklyn, needs to determine how much food she needs to feed the animals. Brooklyn knows that she needs to order the same amount of bird food as hamster food. She needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Brooklyn orders 600 packages of animal food, how much dog food does she buy? Let b represent the number of packages of bird food Brooklyn purchased for the pet store.

Answers

Answer:

She ordered 85.7 packages as dog food

Step-by-step explanation:

Let b represent bird food, d represent dog food and c represent cat food.

The bird food is 4 times as much dog food. This can be represented as b = 4d

Also, the dog food is half the amount of cat food, it can be represented as d = 1/2c. Therefore, c = 2d

The total feed is 600.

Therefore dog feed + cat feed + bird feed = 600

d + 2d + 4d = 600

7d = 600

d = 600/7 = 85,7

She ordered 85.7 packages as dog food.

What should be subtracted from 2a + 8b + 10 to get -3a + 7b +16 ?

ITS FROM ALGEBRA
CAN SOME BODY PLEASE HELP

Answers

Answer:

5a + 5b - 6b

Step-by-step explanation:

In an equation -

2a + 8b + 10  - x  =   -3a + 7b +16

-x = -3a + 7b +16 -2a - 8b - 10

-x = -5a -b + 6

x = -(-5a -b + 6)

x = 5a + 5b - 6b

The price for the jacket is $96. The discount is 31.25%. The sales tax is 9.875%. The expression that represents this situation is Where represents the final price. The first term expresses the initial price. The second term is about the discount which has to be negative. The final term is about the sales tax which must be added to have the total price.

Answers

Answer: P = 96 - 30 + 9.48

Step-by-step explanation:

The price of the jacket is $96.

The discount is 31.25% and

The sales tax is 9.875%

To find the price paid, we subtract the discount from the original price and add the sales tax. This will be:

P=96 - (31.25% × 96)+(9.875% × 96)

P = 96 - 0.3125(96) + 0.09875(96)

P = 96 - 30 + 9.48

P = 75.48

Where,

P stands for the final price.

The first term (96) shows the initial price.

The second term (-30) is about the discount which has to be negative.

The final term (+9.48) is about the sales tax which must be added to have the total price.

Two spheres have radii 6 and 15. Find the ratios of the areas and the volumes.

Answers

Answer:

1st sphere has r1 = 6

=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 6^2 = 144pi

=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 6^3 =288pi

2nd sphere has r1 = 15

=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 15^2 = 900pi

=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 15^3 =4500pi

=> S1/S2 = 144pi/900pi = 0.16

=> V1/V2 = 288pi/4500pi = 0.064

Hope this helps!

:)

Please help!

Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.

To the nearest cent, how much interest will he earn in 5 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Given Information:

Principle amount = P = $6,000

Interest rate = r = 4% = 0.04

Period in years = t = 5

Required Information:

How much interest will he earn in 5 years = ?

Answer:

Amount of interest = $1,299.92

Step-by-step explanation:

Using the formula given in the question,

[tex]B = P(1 + r )^{t}[/tex]

Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years

[tex]B = P(1 + r )^{t}\\\\B = 6,000(1 + 0.04)^{5}\\\\B = 7,299.92[/tex]

The amount of interest earned is

[tex]Amount \:of\: interest = B - P \\\\Amount \:of \:interest = 7,299.92 - 6,000\\\\Amount \:of \:interest = 1,299.92[/tex]

Therefore, Quincy has earned $1,299.92 in terms of interest by investing  $6,000 in a savings account at the rate of 4% annual interest for a period of 5 years.

A triangular pyramid with a height of 9 inches has a volume of 63 cubic inches. If the heights of a tringular bad is 6 inches what is the base length of the triangular base?

Answers

Answer:

9

Step-by-step explanation:

9X6

=54

63-54

=9

Magda wants to compare the population density of the two largest countries in the world. She can use this formula. K=P 2.59 M K = population density (people per km2) P = population (millions) M = land area (million square miles) Canada has a population density of 3.57 people per km2 Russia has • a population of 143.96 million • a land area of 6.593 million square miles. Magda thinks that Russia has a greater population density than Canada. Is Magda correct? Show why you think this.

Answers

Answer:

Magda is incorrect

Step-by-step explanation:

Given

Formula:

[tex]K = \frac{P}{2.59M}[/tex]

Population Density of Canada = 3.57 people per km²

Population of Russia = 143.96 million

Land Mass of Russia = 6.593 million square miles

Required

Which country has a greater population density.

First, the population density of Russia needs to be calculated using the given formula;

[tex]K = \frac{P}{2.59M}[/tex]

Here, P = 143.96 million

M = 6.593 million square miles

Substitute these values in the above formula;

[tex]K = \frac{143.96}{2.59 * 6.593}[/tex]

[tex]K = \frac{143.96}{17.07587}[/tex]

[tex]K = 8.43[/tex] people per square miles

Before we can make any comparison, we have to convert the unit of K to people per square kilometre.

From unit of standard conversion;

1 square miles = 2.58999 square kilometre

Hence;

[tex]K = \frac{8.43}{2.58999}[/tex]

[tex]K = 3.25483882177[/tex]

[tex]K = 3.25[/tex] people per km²

Given that the Population Density of Canada = 3.57 people per km²

And We solved for the Population Density of Russia = 3.25 people per km²

By Comparison, the Population Density of Canada is greater than the Population Density of Russia;

Hence, Magda is incorrect

what is the circumference of a circle with a diameter of 4.1 cm ?

use 3.14 for pi.

Answers

Answer:

12.874cm

Step-by-step explanation:

given

r=d/2=4.1cm/2=2.05cm

c=2πr

c=2×3.14×2.05cm

c=2×3.14×2.05cm

c=6.28×2.05cm

c=12.874cm

FIND ANSWER A AND B FOR 10 POINTS!!

Answers

Answer:

16A. 42 cm

16B. 7 cm  

Step-by-step explanation:

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