A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?

Answers

Answer 1

Answer:

the chances are most likely going to be 50/50

Step-by-step explanation:

50

50

Answer 2

Answer: 1/5

Step-by-step explanation:


Related Questions

25(q-954)=775 what is q?

Answers

Answer:

The value of q = 985

Step-by-step explanation:

==> 25(q-954)=775

=> q-954 = 775/25

=> q-954 = 31

=> q = 31+ 954

=> q = 985

Answer:

q = 985

Step-by-step explanation:

25 (q-954) = 775

q-954 = 775/25

q = 31 + 954

q = 985

PLEASE ANSWER THIS QUICKLY!

Consider the circle shown.

1. What is the length of the minor arc DE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI).

2. What is the length of the major arc DGE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI). ​

Answers

Answer:

minor arc DE: (23/9)π

Major arc DGE:(49/9)π

Step-by-step explanation:

This is a simple problem.

First solve the circumference of the circle: 2π (4).

then use the length formula

L=(x*c)/360

and then plug in, so first we use 115 as x(which is degrees) to find de

so

L = (115* 2π (4))/360

and you will get (23/9)π

To get the major arc you have to get the outside angle, so 360-115, and you do the same thing but with 245 as x.

Hope this helps and im correct!

Does anybody know this ?

Answers

Answer:

0, 1, 2, 3, 4

Step-by-step explanation:

Multiply each x value by 1/3 then add 2. Since the numerator is 1, you would multipy by one and divide by the denominator of 3, so you really need to divide each x value by 3 then add 2.

-6:

-6/3 = -2

-2 + 2 = 0

-3:

-3/3 = -1

-1 + 2 = 1

0:

0/3 = 0

0 + 2 = 2

3:

3/3 = 1

1 +2 = 3

6:

6/3 = 2

2 + 2 =4

Given circle E with diameter \overline{CD} CD and radius \overline{EA} EA . \overline{AB} AB is tangent to E at A. If EA=18 and DB=12, solve for AB. Round your answer to the nearest tenth if necessary.

Answers

The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0

What is the tangent of a circle?

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter Line |EA| = radius = 18Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30Line |AB| = opposite (x) = ???Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

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Describing the Graph of a Polynomial Function 2.) Use the function: f(x) = (x + 2)(x - 1)(x - 2) a) Find the zeros of the function. b) Find the y-intercept of the function. c) Describe the end behavior of the graph.

Answers

Answer:

The end behavoir is no solution

Step-by-step explanation:

The reason for this is because if you solve the graph the graph will show no end point

This image shows the explanation ⬇️

A substance requires 310 J of heat to raise the temperature from 19
°C to 42 °C.. If the mass of the substance is 20 g, what is the specific
heat of the substance?

Answers

Answer:

.674  j / (g-C)

Step-by-step explanation:

Spec heat = heat required to raise 1 gram of substance 1 degree celsius

       Spec heat units : j / (gm-C)

soooo     310 j / (20g * (42-19)C  = .674

The tile pattern below is made up of trapezoids and rhombuses. What is the area of each figure in the pattern?

The trapezoids have a height of 2 inches and bases that measure 2 inches and 3 inches.

The rhombuses have diagonals that measure 1 inch and 4 inches.

Answers

The area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

How to find the area of a trapezoid and rhombus?

The given pattern consists of rhombus and trapezoids

The formula for calculating the area of rhombus is expressed as:

A = pq/2

Area of trapezoid = 0.5(a+b)h

Given the following

height  = 2in

a = 2in

b = 3in

Ara of rhombus = 1(4)/2 = 2 square inches

Area of the trapezoid = 0.5(2+3) * 2

Area of the trapezoid  = 5 square inches

Hence the area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

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5.000g rounded to the nearest whole gram

Answers

5.0000 would not change the value because there is 0 in the decimal place value so, the answer is 5

Answer:

5 g hope this helps

The length of a rectangle is 4/5 of the width. The length of the rectangle is 3/5 meter. Which equation can be used to find w, the width of the rectangle in meters?
A 3/5w = 4/5
B 4/5w = 3/5
C 3/5 + w = 4/5
D 4/5 + w = 3/5

Answers

Answer:

B: 4/5w = 3/5

Step-by-step explanation:

The length of the rectangle is stated as being 4/5 of the w. (4/5 * w)

The length is also stated specifically as being 3/5m so that will equal 4/5w on the other side of the equation.

Bonus:

You could work out the equation as

4/5w = 3/5m

multiply by 5

4w = 3m

divide by 4

w = 0.75m (or 3/4m)

Which phrase describes the linear relationship between the values of x and y shown in the table? A. y is 4 more than x B. y is 6 more than x C. y is 3 times x D. x is 3 times y

Answers

The linear relationship on the table has a constant slope

The linear relationship is (c) y is 3 times x

How to determine the linear relationship?

The table of values is given as:

x l y

3 l 9

0 l 0

For both x and y values on the table, we have:

y = 3x

i.e.

3 * 3 = 9 and 3 * 0 = 0

This means that the linear relationship is (c) y is 3 times x


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Pedro was working on a report on swiss and austrian psychiatrists. he decided to find a 90 percent confidence interval for the difference in mean age at the time of significant psychiatric discoveries for swiss versus austrian psychiatrists. he found the ages at the time of psychological discovery of all the members of both groups and found the 90 percent confidence interval based on a t-distribution using a calculator. the procedure he used is not appropriate in this context because


a

the sample sizes for the two groups are not equal.


b

the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.


c

age at the time of psychological discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.


d

age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.


e

age at the time of psychological discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid

Answers

Answer:

B) the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.

Step-by-step explanation:

Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid. Therefore, option D is the correct answer.

What is a confidence interval?

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

A confidence interval is used to estimate an unknown population parameter, such as the mean, from a sample. It does this by providing a range of values within which the true population parameter is likely to lie. To use a confidence interval, the assumptions of the underlying distribution must be valid. In this case, the distribution of the ages of the Swiss and Austrian psychiatrists is likely to be skewed, meaning that it does not follow a bell shaped distribution. This makes the assumptions for using the confidence interval formula invalid and thus the procedure is not appropriate in this context.

Therefore, option D is the correct answer.

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=
In the accompanying diagram of isosceles triangle ABC,
AB = BC, mZBAC = x, and mLABC = x + 30.
What is the value of x?
B
(x + 30)
A
The value of x is
The measure of the vertex angle is
degrees.

Answers

Answer:

x = 50

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

Since triangle ABC is an isosceles triangle the measure of <c is also = x

x + x + x + 30 = 180 add like terms

3x + 30 = 180 subtract 30 from both sides

3x = 150 divide both sides by 3

x = 50

The center of the circle is located at (-4,-3). What is the area? Use 3.14 as an approximation for pi.

Answers

Answer:

78.5 units²

Step-by-step explanation:

First, we need to plot the center point of the circle. (Shown in image). Once we plotted the center point, we need to count how many units is the radius away from the boundary.

Note: I have marked each unit by a "red point". Simply, count the number of "red points" to determine the radius.

⇒ Radius according to graph: 5 units

We can substitute the radius in the "area of circle" formula to determine the area. Keep in mind that pie is represented as 3.14.

⇒ Area of circle = πr²⇒ Area of circle = π(5)²

Now, let's evaluate the area by simplifying the expression. Keep in mind that pie is represented as 3.14.

⇒ Area of circle = π × (5)²⇒ Area of circle = π × 5 × 5⇒ Area of circle = π × 25⇒ Area of circle ≈ 3.14 × 25                                                      [π = 3.14]⇒ Area of circle ≈ 78.5 units²

find the missing side.

1) 2304
2) 3600
3) 1296
4) 36

Answers

Answer:

option 4

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

BC² + AC² = AB² , that is

a² + 48² = 60²

a² + 2304 = 3600 ( subtract 2304 from both sides )

a² = 1296 ( take square root of both sides )

a = [tex]\sqrt{1296}[/tex] = 36

Answer:

[tex]hypotenuse {}^{2} = opposite {}^{2} + adjacent {}^{2} \\ let \: adjacent = x \\ 60 {}^{2} = {48}^{2} + {x}^{2} \\ {60}^{2} - {48}^{2} = {x}^{2} \\ 3600 - 2304 = {x }^{2} \\ 1296 = {x}^{2} \\ x = \sqrt{1296} \\ x = 36[/tex]

At his schools book fair, Henry brings $10.00. He purchases a book for $8.50, plus a 6% sales tax. How much money in change will Henry receive?

Answers

8.50 * 0.06 = 0.51

0.51 + 8.50 = 9.01

10.00 - 9.01 = 99

He will receive 99 cents in change.

Answer:

$0.99 in change

Explanation:

To apply the sales tax, you have to multiply:

8.50*1.06=9.01

This means that, with tax, the book will cost $9.01. If he gave them $10, he would get 99 cents back because 10-9.01 is 0.99.

A committee is to consist of two members. If there are seven people available to serve on the committee, how many different committees can be formed?

Answers

3
Though there are seven people, it would only be 3 full committees. They would either find an eighth person or have a group of 3 with one of the committees.
Hope this helps!

Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM measures 25 ft. What is the area of Felipe’s bedroom floor? Show all work and round your answer to the nearest tenth.


will mark brainlist

Answers

Answer: 312.3 square feet

Step-by-step explanation:

The area of Felipe’s bedroom floor is 312.3 square ft.

What is Pythagoras theorem:

If we have a right-angled triangle then we can write the following equation,

(Hypotenuse)² = (Base)² + (Height)²

Properties of a rectangle:

In the given figure attached below  the properties are as follows:

ML = JKKL = JMarea = (Base  × Width) =  KL × ML

In the given question and in the figure attached below the given values are:

ML = 18 ft.KM = 25 ft.

By applying Pythagoras theorem in ΔKML we get,

(KM)² = (KL)² + (ML)²

Putting all the values in the above equation,

(25)² = (KL)² + (18)²

By rearranging,

(KL)² = (25)² - (18)²

Applying the formula, a² - b² = (a + b)(a - b) we get,

(KL)² = (25 + 18)(25 - 18)

(KL)² = 43 × 7

KL = √301 ft.

Now the area is,

area = KL × ML

        = (√301 × 18) square ft.

        = 312.3 square ft.

Therefore, the area of Felipe’s bedroom floor is 312.3 square ft.

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Give me full working and explanation and I give you stars and mark you as brainliest. ​

Answers

for the first question, all we have to do is subtract the new selling price from the original price.
700-505.75=$194.25

for the second question, all we have to do is multiply the previous answer by 3 since there are 3 times the amount of watches being sold.
194.25x3=$582.75

A wheel with the 31 in. diameter has 651 rotations. Reflect on how different wheel sizes would change your answer. What would happen to the number of rotations if the circumference of the wheels were increased by 20%? For the wheel with 31 in. diameter, multiply its circumference 97.4 in. by 1.2 =________.

Answers

The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %.

How to compare rotations between two wheels of different diameter

The quantity of rotations (n), no unit, done by a wheel is equal by total traveled distance (s), in inches, divided by its circumference (p), in inches:

[tex]n = \frac{s}{p}[/tex]  

[tex]n = \frac{s}{\pi\cdot D}[/tex]   (1)

Where D is the diameter of the wheel, in inches.

If we know that n = 651 and D = 31 in, then the travelled distance is:

s = (651) · π · (31 in)   (2)

s ≈ 63400.481 in

The travelled distance of the 31-in diameter wheel with 651 rotations is approximately 63400.481 inches.

By (2) we understand that the travelled distance is directly proportional to the diameter. Hence, if the diameter of the wheel is increased by 20 %, then we must multiply the diameter by 1.2 and divide the travelled distance by this result:

s ≈ 1.2 · π · (31 in)

s ≈ 116.867 in

[tex]n = \frac{63400.481\,in}{116.867\,in}[/tex]

[tex]n = 542.501[/tex]

The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %. [tex]\blacksquare[/tex]

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Which probability describes an event that is “very likely”?

A. 0.125
B. 0.9
C. 1
D. 0.50

Answers

The answer is B. 0.9
Explanation:
If you multiply all the choice with 100the results will be
A.12.5%
B.90%
C.100%
D.50
So a situation which is very likely to happen will be 90% ( 100% is not correct because it means that the situation is gonna happen and is accurate but when you say very likely to happen it means there is still a low chance for a situation not to happen)

The probability that describes an event as "very likely" is option B, 0.9.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain.

A probability of 0.9 means that there is a 90% chance that the event will occur, which is a high likelihood of the event happening. In general, probabilities between 0.7 and 1 are often considered to be "likely" or "very likely".

Therefore, the correct option is B.

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what is the range of the data set 95,86,78,80,91

Answers

Answer:

17

Step-by-step explanation:

Range = Highest Value - Smallest Value

95 - 78 = 17

Answer:

17

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range.

95 - 78 = 17

Mary sells fruit with four of her friends. If the earnings are divided evenly, how
much must the business make in order for each person to earn $30?
What is the variable for this problem?
A. friends
ООО
B. profit ratio
C. expenditures
D. total earnings
E, fruit

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let the total money earned be x

since each of them get equal share, therefore :

[tex]\qquad \tt \dashrightarrow \:5 \times 30 = x[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \$150[/tex]

And here, we used Total earning as the variable in the problem ~

So, correct choice is D

Total persons including Mary=4+1=5

Earnings per person =$30

Total earnings

5(30)150$

Option D

Consider the system of equations.

x − 4y = 11,

3x + 5y = −1

Which number should you multiply the first equation by to eliminate the x-variable term?
1
–1
3
–3

Answers

Answer:

-3

Step-by-step explanation:

since if you multiply by -3 the sum of both equations will not have an x variable.

Answer:

D

Step-by-step explanation:

Ramona is counting the posts between mile makers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced, how many feet apart are they? (1 mile = 5,280 feet)

Answers

Answer:

160feet

Step-by-step explanation:

5280 divided by the number of posts

given:

count in mile= 33 posts.

to find:

the distance between the posts.

solution:

1 mile= 5280ft

distance= 5280/33

=160ft

so the distance between the posts are 160ft.

Is the quotient of 3 and 1/4 greater than or less than 3?

Answers

Answer:

Greater than

Step-by-step explanation:

The quotient of 3 and 1/4 would be 3/(1/4).

You could then multiply by the inverse of 1/4 to simplify the expression. This would give you [tex]3*\frac{4}{1}[/tex] or just 3 times 4. 3 * 4 = 12.

Since 12 is greater than 3, the quotient of 4 and 1/4 is greater than 3.

PLSS HELPP
I NEED TO FIND THE 2 SIDE LENGTHS

You are building a play pen for your pet pig. You know that you want one side to be 7 feet longer than 3 times the other
side. The area of the play pen that you want is 48 square feet. What are the dimensions of the play pen?

Answers

Check the picture below.

[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ w=3L+7\\ A=48 \end{cases}\implies 48=L(3L+7)\implies 48=3L^2+7L \\\\\\ 0=3L^2+7L-48\implies 0=(3L+16)(L-3) \\\\[-0.35em] ~\dotfill\\\\ 0=3L+16\implies -16=3L\implies -\cfrac{16}{3}=L \\\\[-0.35em] ~\dotfill\\\\ 0=L-3\implies 3=L~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ w=3L+7\implies w=3(3)+7\implies w=16[/tex]

notice, we didn't use the negative value of "L", because the length can't be negative.

please help, will give brainliest for accurate answer or explanation!
A high school basketball coach was searching through records and found that the average height of high school basketball players is 73 inches with a standard deviation of 2.1 inches. The distribution of heights is an approximately normal distribution.

a. The typical basketball team usually has around 16 players. Describe the sampling distribution for samples of size n = 16.

b. Is it surprising to find a random sample of size n = 4 to have an average height over 75 inches? Give appropriate statistical evidence

c. Suppose the population described in the problem was clearly NOT normal. Could the question in part (b) still be answered? Explain why it could still be answered. If not, explain why.​

Answers

Answer:

The heights of basketball players have an approximate normal distribution with mean, μ = 79 inches and a standard deviation, σ = 3.89 inches.

Step-by-step explanation:

solve 650(1+.045) with an exponent of 3

Answers

Answer:

741.75798\dots

Step-by-step explanation:

\mathrm{Add\:the\:numbers:}\:1+0.045=1.045

1.045^3=1.141166125

\mathrm{Multiply\:the\:numbers:}\:650\cdot \:1.141166125=741.75798\dots

The diameter of a circle is 8 inches. What is the and
with area 24 square inches?

Answers

given:

8 inches

to find:

the area

solution:

If the diameter is 8 inches, the radius is 4 inches.

a= Pi* r^2

= 16 Pi square inches.

pi= 3.14159 16pi

= 15.2655 sq inch

LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.

Answers

Answer: 7 cm

Step-by-step explanation:

Other Questions
Even if you have never studied broadcast journalism, you are probably familiar with its story formats. Readers are probably the most basic kind of broadcast story. They're usually short and mixed in with other story formats to keep the show interesting. After all, who wants to watch 30 minutes or an hour of an anchor sitting there reading? Sometimes, if the producers want to get fancy, a reader may include an over the shoulder graphic or a picture of the story's subject. Often, the anchor's role is limited to giving a lead-in to a reporter's package. After a sentence or two from the anchor, viewers see video of reporters narrating their own stories. Most of the time, the video stories include a sound-bite from a person who was interviewed about the story's subject. In some cases, anchors wrap the story up with additional information after the video is over.An anchor is A. a type of story format that includes an interview. B. the reporter who films and edits his or her own broadcast story. C. a television personality who interviews people for a talk show. D. a broadcaster who presents reporters and reads the news. What is true about people who havecredit cards?A. They are extremely wealthy.B. They are extremely poor.C. They have a limit on the dollar amount they cancharge.D. They do not have a limit on the dollar amount theycan charge. Below, you will see a nuclear fission reaction: NUCLEAR FISSION A neutron slams into a Uranium-235 atom beginning the fission process. The products of this reaction are: Barium-141; Krypton-92; and 3 neutrons. + + + + + Please write the equation in the blanks below: Write an essay on The Kindest of Rasool (170-200words) ANSWER QUICK WITH THE ANSWER FOR EXTRA POINTS ! Find the exact value, without acalculator.30sin 15 sintan 15 =2cos 15 302COSII[ ? ] - [] + [Enter -2 1/5 (10x - 4.4) - 0.32 1. blizzard2. inland3. wool4. pony5. overeat6. inferior7. trade8. break down9. superior10. work outa. small horseb. buying and sellingC. worsed. stop running or workinge. a kind of clothf. a bad snow and wind stormg. missionariesh. exercisei. anthropologyj. away from the oceank. eat more than you should1. better thanD True/False/Not Enough Information someone help me please Find two positive numbers whose product is 192 and their sum is a minimum. Answer 3. and 4. Please help me Question 15 of 34Submit TestQ-Science-Gr6-SQSA3-PBT-CBT (2021-22)Question 1-15Which statement explains why the nucleus can be referred to as the brain of plant and animal cells? (SC.6.L. 14.4)o It releases energy to the cell.o It controls the activities of the cell.o It stores food, water, and wastes of the cell.It controls the materials that go into and out of the cell. you consider yourself to be a good friend? What is itthat makes you a good friend to others? Have you everbeen a good friend to someone who didn't deserve yourfriendship? What happened to make you feel that way?Conversely, have you ever been a bad friend to someonewho had been a good friend to you? What did you learnfrom that experience and what did you change as a resultof it Find the distance between the two points in simplest radical form.(-8,3) and (-2,-5) negative number on a number line 3 What happened to thousands of Jewish men as a result of Kristallnacht? They lost their status as citizens of Germany. They were arrested and sent to concentration camps. They rebuilt their businesses and reopened factories. They left the cities to live in greater safety in rural areas. When a garter snake consumes a mouse, what happens to the organic matter that made up the mouse's body? A. It changes form. B. It is destroyed. C. It leaves the ecosystem. D. It becomes more massive. hshshshshshhshshshs thank you!! I need the answer to this please Which of the following is NOT true about bacteria