The table shown classifies the 35 students in a
college statistics course by year (1st, 2nd, 3rd, 4th)
and type of major (Humanities, Sciences, Other). A
student from this course will be selected at random.
What is the probability that the student's major is
Humanities?

Answer: Yes you will still get a true statement because 3 is the solution to the equation.

Step-by-step explanation:

Well substitute 3 for x into the equation and solve for to see if they equal each other.

12 = 5(3) - 3    

12 = 15 - 3

12 = 12  

So if you substitute 3 you get the solution .

Now solve for x in the real equation to see if you get 3.

4x + 12 = 9x -3  

-4x           -4x

 12 = 5x -3  

+3           +3

15 = 5x  

x = 3  

Answer:

39.0625

Step-by-step explanation:

Answer:

39.0625

Step-by-step explanation:

Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

Answer:

its 2 1/6 (B)

Step-by-step explanation:

As per the circumference of a circle, the length of the paper is 176 mm.

The circumference of a circle is the total arc length of it.

The diameter of the pencil is(d) 7 mm

Therefore, the radius of the pencil is(r)

[tex]= \frac{d}{2} \\= 7/2 mm\\= 3.5 mm[/tex]

Now, the circumference of the cross-section of the pencil is

[tex]= 2[/tex](π)r units

[tex]= (2) (22/7) (3.5) mm\\= 22 mm[/tex]

Therefore, the length of the paper is

= (circumference of the cross-section of the pencil) × 8 units

[tex]= (22) (8) mm\\= 176 mm[/tex]

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Answer:

when adding a ten the number goes higher but when subtracting ten the number is lower than the original number  

Step-by-step explanation:

for example :

20+10= 30 ( its greater )

90-10=80( is lower )

Answer: The missing angle (B) is 22 degrees

Step-by-step explanation:

a triangle in general is 180 degrees. You take the angles given

A(18) + B + C(140) = 180

Subtract A and C from each side and end up with B = 22 degrees.

Answer:

-1+7 =-7

Step-by-step explanation:

Answer:

The minimum and maximum temperatures in the house are 68.5°F and 76.5°.

To keep the house in heat, the minimum and maximum temperature is set to option 68.5°F and 76.5°F.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The equation |x – 72.5| = 4.

The minimum and maximum temperatures can be found by substituting +4 and -4 in x.

Minimum temperature,

⇒ [tex]|+4-72.5|=|-68.5|[/tex]

⇒ [tex]68.5[/tex]

Maximum temperature,

⇒ [tex]|-4-72.5|=|-76.5|[/tex]

⇒ [tex]76.5[/tex]

Hence we can conclude that to keep the house in heat, the minimum and maximum temperature is set to option 68.5°F and 76.5°F.

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Answer:

30 minuetes because their brain can take so many

Step-by-step explanation:

Answer:

Each pair of socks cost around $1.11 excluding taxes.

Step-by-step explanation:

To find how much it costs for one pair of socks, divide the cost with how many pairs there are.  

13.37/12 = 1.11426...

Since we are determining the cost of each pair of socks, it's only justifiable if we round it to the nearest hundredths.

Therefore, a pair of socks cost around $1.11 excluding taxes.  

Answer:

X= 3y-8

Where

X represent hours worked by Kelly

Y represent hours worked by Marcy

Step-by-step explanation:

Kelly works 8 hours less than three times as much as Marcy works for the week.

Let the number of hours worked by Kelly= x

Let the number of hours worked by Marcy= y

X= 3y-8

Answer:

it was 3 hours

Step-by-step explanation:

the thing said so

Are you sure you've written the problem right...it says x can not equal 0 or 1

Answer:

C -2,1 or 3 0nly

Step-by-step explanation:

Just did it mark it brainliest

Answer:

A. positive -positive = positive

Answer:

y = 2 tan(2x + c) - 4x

Step-by-step explanation:

See the attachment for the derivation and integration

Answer:

It's supposed to be 7.0800.

Step-by-step explanation:

Since it's 10 to the power minus 4 you'll have to count 4 places after the decimal point, so it'll be 7.0800

Answer:

0.000708

Step-by-step explanation:

you move the decimal 4 times to the left since the notation is negative. If the notation was positive, you would move it to the right.

Can i have the brainliest, please?

Answer:

77.16 lbs

:)))))))))))))

Answer:

2&3

Step-by-step explanation:

2+3=5 or 3+2=5

You can continue on but you would need to use one and these are the two that are greater than 1 but make up 5.

The values of x for which the result of 5 x be greater than 1 would be 2 and 3.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to find the values of x for which the result of 5 x be greater than 1

WE can have that as;

2+3=5

or

3+2=5

Also we can continue on but we would need to use one and these are the two that are greater than 1 but make up 5.

Therefore, the values of x for which the result of 5 x be greater than 1 would be 2 and 3.

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Answer:

1 pound = 16 ounces

She bought 8 ounces, which is 0.5 pounds.  Just multiply the number of pounds she bought by the price per pound.

(0.5 pounds)($17.98 per pound) = $8.99

Step-by-step explanation:

Answer: 8.99

Step-by-step explanation:

Answer:

Step-by-step explanation:

Initial Velocity of projection = 89ft/sec

height(ft), t seconds after launching is given by s=-16t^2 + v0t + s0

A) time the projectile will reach a height of 100 ft

s=-16t^2 + v0t

v0 = 89ft/sec

s = 100ft

100 = - 16t² + 89t

-16t² + 89t - 100 = 0

Using the online quadratic equation solver;

t = 4s or t = 1.5625

Answer:

It is 2 because it is a math question with the factors on the multipulcation

Step-by-step explanation:

Answer:

1/2(-1/3)=-1/6

-2/5(-5/9)=2/9

-3/4(8/9)=-2/3

Answer:

1/2 multiplied by (-1/3)=-1/6 or 0.166666667

-2/5 multiplied by (-5/9)=2/9 or 0.222222222

-3/4 multiplied by 8/9=2/3 or 0.666666667

you just multiply.

Answer:

248*a=391

Step-by-step explanation:

Answer:From the statement above, we can say that there is a direct relationship between the number of sheets used to the number of cans that can be made. That is, # of sheets is directly proportional to # of cans. We make an equation as follows:

let y = # of sheets

    x = # of cans

y = kx      where k is the proportionality constant

Assuming linear relationship of the two, we can use either data point as follows:

y = kx

2 = k(36)

k = 1/18

Therefore, the proportionality constant is 1/18.

Step-by-step explanation:

Answer: She attended to 7 weekday games.

Step-by-step explanation:

Let's denote our variables as:

Wd = number of weekday games that she attended.

We = number of weekend games that she attended.

We know that in total, she attended to 23 games, so we have:

Wd + We = 23.

"If  Ariel attended nine more weekend games than weekday games" can be written as:

We = Wd + 9.

Then we have the system of equations:

Wd + We = 23.

We = Wd + 9.

The first step would be to replace the second equation into the first one, as:

Wd + We = 23.

Wd + (Wd + 9) = 23

Now we can solve this for Wd.

2*Wd + 9 = 23

2*Wd = 23 - 9 = 14

Wd = 14/2 = 7

She attended to 7 weekday games.

And:

We + 7 = 23

We = 23 - 7 = 16

She attended at 16 weekend games.

Answer:

i think it would be a.

Step-by-step explanation:

Answer:Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?

Negative 140 divided by negative 7 = 20

Negative 140 divided by 6 = 23.ModifyingAbove 3 with bar

Negative 135 divided by negative 7 = 22.5

Negative 135 divided by negative 5 = 27

Step-by-step explanation: The answer is A because it is showing the right way to do the step

Answer:

4.

-building

-artisting

-selling

-making good

-trading

-farming

5. "Being settled meant being tied to land and possessions; being nomadic meant having a mobile community with a mobile food supply. This allowed nomads to attack and plunder resources. They could gain access to agricultural products without having to farm or trade."

6. " They were also trained in riding and archery, as they sometimes had to defend their communities from outsiders. Women’s graves sometimes contained weapons, suggesting they had a role in military life as well."

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

From the given information:

suppose, Y is the number of times a coin is being flipped.

If the coin is flipped for the first time and we get H, then we have:

TTT = [tex]\dfrac{1}{2}(Y+1)[/tex]

Afterward, if we get H, then we waste two times plus the probability of this event [tex]\dfrac{1}{4}[/tex].

Therefore, we have : [tex]\dfrac{1}{4}(Y+2)[/tex]

Afterward, if we get H, then we waste three times plus the probability of this event [tex]\dfrac{1}{8}[/tex].

Therefore, we have : [tex]\dfrac{1}{8}(Y+3)[/tex]

If we got T at the third time, then;

T = [tex]\dfrac{1}{8}(3)[/tex]

Thus, average number of headsthat you’ll see until gettingTTT can be expressed as:

[tex]= \dfrac{1}{2}(Y+1)+ \dfrac{1}{4}(Y+2)+ \dfrac{1}{8}(Y+3)+ \dfrac{1}{8}(3)[/tex]

= 14