Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are psychology majors and two are biology majors. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor randomly selects two of the four wait list students and gives them seats in the class.What is the probability that both students selected have different majors?

Answer:

1) x= 43

2) x= 54

Step-by-step explanation:

you add the two angles given, then take that answer and subtract it from 180!

i hope this helped!!

Answer:

[tex]1. \: \: \: 7 \\ 2. \: \: \: 54[/tex]

Step-by-step explanation:

[tex]1. \: \: \: 72 - 65[/tex]

[tex]2. \: \: \: 90 - 36[/tex]

Happy to help:))

Answer:

645

Step-by-step explanation:

it says 645 were inrolled in the fall

Answer:C and E

Step-by-step explanation:

x^2-6x+40=6x+5

Arrange the equation to equal zero

x^2-6x-6x+40-5=0

x^2-12x+35=0

x^2-7x-5x+35=0

x(x-7)-5(x-7)=0

(x-5)(x-7)=0

x-5=0 or x-7=0

x=5 Or x=7

Answer:

27

Step-by-step explanation:correct answer

hope this helps

plz mark me the brainliest

Answer:

You don't need experiments to ask people questions

Answer:

  Draw perpendicular bisectors of two the sides

Step-by-step explanation:

The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.

The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.

Answer:

The answer is C

Step-by-step explanation:

EDGE2020

Answer:

0.09

because I multiplied...

Answer:

0.09

Step-by-step explanation:

36/ 10 x 25/ 1000 = 18/ 5 x 1/40 = 9/100 = 0.09

Answer:

133 Students

Step-by-step explanation:

Let the number of student in a van=v

Let the number of student in a bus=b

The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

Therefore: 12v+14b=796

General High rented and filled 14 vans and 12 buses with 738 students.

Therefore: 14v+12b=738

We solve the two resulting equations simultaneously

12v+14b=796

14v+12b=738

Multiply equation 1 by 12 and equation 2 by 14 to eliminate b

144v+168b=9552

196v+168b=10332

Subtract

-52v=-780

Divide both sides by -52

v=15

We substitute v=15 to obtain b in any of the equations

12v+14b=796

12(15)+14b=796

14b=796-180

14b=616

Divide both sides by 14

b=44

Therefore a bus contains 44 Students and a Van contains 15 students.

Number of Students who would fill 2 buses and 3 vans

=2b+3v

=2(44)+3(15)

=133 Students

Answer:

True

Step-by-step explanation:

You should always check just in case a mistake or miscalculation was made. To check, substitute the value you got for the variable into the equation and solve.

For example,

x=2

8x-2=14

Substitute 2 in for x

8(2)-2=14

16-2=14

14=14

Since this is true, we know that 2 is the correct solution.

Answer:

Frank's confidence interval, (.75, .89) has to be wrong.

The explanation is presented below.

Step-by-step explanation:

The Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

So, a sample proportion of 80% indicates that Beth's interval of (.73, .87) gives a margin of error of 7%.

Making the lower limit of the interval be

(Sample proportion) - (Margin of error) = 80 - 7 = 73%

Upper limit of the interval = (Sample proportion) + (Margin of error) = 80 + 7 = 87%

Hence, this confidence interval is plausible for the survey carried out.

But Frank's interval of (.75, .89) doesn't work with the definition of a confidence interval given above. The range has to be equally spread around the mean with (lower limit, upper limit). The lower limit cannot be 75 and the upper limit 89.

If the lower limit is truly 75, the margin of error has to be (80 - 75), 5%. And the corresponding upper limit should be (80 + 5), 85%.

Frank's interval as (.75, .85) would have been more plausible.

And if the upper limit is truly 89%, the fiitting lower limit, judging by the distance of the upper limit from the sample proportion (89 - 80 = 9%), should be (80 - 9), 71%. Frank's interval as (.71, .89) would also have been more plausible.

Hope this Helps!!!

Answer:

25%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Turn it into an equation:

4x + 20 = 108

Eliminate 20 by subtracting both sides.

4x = 88

x = 22

Hope this helps.

Answer:

y = 3x-6

Step-by-step explanation:

y = 3x−5

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

m =3

Parallel lines have the same slope

We have the slope m=3 and a point (2,0)

y = mx+b

y = 3x+b

Substituting the point into the equation to solve for b

0 = 3(2)+b

0 = 6+b

b = -6

y = 3x-6

Answer:

y = 3x - 6

Step-by-step explanation:

Parallel lines have the same slope,

So m = 3

y - 0 = 3(x - 2)

y = 3x - 6

Answer:

11

Step-by-step explanation:

just put the values in for the variables

5(3)(1) - 4(1)

15(1) - 4(1)

15 - 4

11

(Brainliest pleaseee)

Answer: C electricity

Step-by-step explanation:

It is

Answer:

B. 1/3 multiplied by k=7

Step-by-step explanation:

7 ÷ ⅓ = k

Multiply both sides by ⅓

7 ÷ ⅓ × ⅓ = k × ⅓

7 = k × ⅓

Answer:

IQR= 3

Step-by-step explanation:

Hello!

The data represents the number of classes taught by each teacher at Broxin High School.

To calculate the IQR you have to do the following steps:

1) Arrange the data from least to greatest:

Raw data: 5, 7, 5, 1, 1, 9, 4, 5, 3, 4, 6

Arranged: 1, 1, 3, 4, 4, 5, 5, 5, 6, 7, 9

2) Calculate the 1st Quartile (Q₁):

The first quartile divides the bottom 25% of the data from the top 75%, to know which value of the data set corresponds to it you have to calculate its position:

PosQ₁= (n+1)/4= (11+1)/4= 3

This means that the 1st quartile corresponds to the 3rth observation:

1, 1, 3, 4, 4, 5, 5, 5, 6, 7, 9

Q₁= 3

3) Calculate the 3rd Quartile (Q₃)

The third quartile divides the bottom 75% of the data from the top 25%, as before, you have to calculate its position and then identify the value in the data set.

PosQ₃= (n+1)*(3/4)= (11+1)*(3/4)= 9

The third quartile corresponds to the 9th observation:

1, 1, 3, 4, 4, 5, 5, 5, 6, 7, 9

Q₃= 6

4) Interquartile range (IQR)

The IQR shows you the distance where the middle 50% of the data set is.

IQR= Q₃-Q₁= 6-3 = 3

I hope this helps!

Answer:

[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]

Step-by-step explanation:

The coordinate has the following polar form:

[tex]\vec r = (1, 0^{\circ})[/tex]

The image of the coordinate rotated counterclockwise 60° is:

[tex]\vec s = (1, 60^{\circ})[/tex]

Its equivalent form in rectangular coordinates is:

[tex]\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})[/tex]

[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]

We have been given that a bicycle wheel has a circumference of 66 inches. We are asked to find the radius of the wheel.

We will use circumference of circle formula to solve our given problem.

[tex]\text{Circumference of circle}=2\pi r[/tex], where r represents radius if circle.

Upon substituting our given values, we will get:

[tex]66=2\cdot 3.14\cdot r[/tex]

[tex]66=6.28\cdot r[/tex]

[tex]6.28\cdot r=66[/tex]

[tex]\frac{6.28\cdot r}{6.28}=\frac{66}{6.28}[/tex]

[tex]r=10.509554[/tex]

Upon rounding to nearest hundredths, we will get:

[tex]r\approx 10.51[/tex]

Therefore, the radius of the wheel is approximately 10.51 inches.

Answer:

Step-by-step explanation:

To determine the PMF of the points that the team receive, we must determine the probabilities of winning each of the games.

Consider the firt game. We know that the probability of not losing is 0.4. Since the team can either lose the game or not, we have that the probability of losing it is 0.6. We are told that given that the team does not lose, the probability of winning or having a tie is the same. Recall that, given events A, B, the conditional probability P(A|B) (which means probability of A given B) is given as

[tex]P(A|B) = \frac{P(A\cap B)}{P(B)}[/tex]

in our case, we have that B:= not losing the game. Consider A:= To win the game, C:= To tie the game. We know that P(A|B)=P(C|B). When the team doesn't lose, then the team either ties or wins, this means that

[tex]P(A|B)+P(C|B) = 1[/tex]

So we get that P(A|B) = P(C|B) = 1/2. Let us find P(A)

[tex]P(A|B) = \frac{P(A\cap B)}{P(B)} = \frac{P(A)}{P(B)}=\frac{1}{2}[/tex]

Then [tex]P(A) = \frac{P(B)}{2} = 0.2[/tex]. By an analogous calculation we have that P(A) = P(C) = 0.2.

We will define the following events: [tex]W_i[/tex] is the event that the team wins the game i, [tex]T_i[/tex] is the event that the team ties the game i and [tex]L_i[/tex] is the event that the team loses the game i. In this notation, we have that

[tex]P(W_1) = P(T_1) = 0.2, P(L_1) = 0.6[/tex]

By reasoning the same way for the second game, we can calculate that

[tex]P(W_2)=P(T_2)=0.35, P(L_2) = 0.3[/tex]

To calculate the PMF we must check all the possible outcomes of the results of both games. Since we can either win (W), tie(T) or lose(L) a game, we will express the outcome as follows TW(3) means that the team ties  the first game and wins the second one, for a total of points. In this way, the possible outcomes are

WW(4), WT(3), WL(2), TW(3), TT(2), TL(1), LW(2), LT(1), LL(0)

We see that the number of possible points are 0,1,2,3,4. Let X be the number of points, to get the pmf of X is to give the probability P(X=k) for k=0,1,2,3,4 explicitly. Note that since each game is independent of each other, to get the probability of one of the outcomes it suffices to multiply the probability of each event. For example we have that [tex]P(WW) = P(W_1)\cdotP(W_2) = 0.07[/tex]

Then, the pmf is given by

[tex]P(X=0) = P(LL) = 0.18[/tex]

[tex]P(X=1)=P(LT)+P(TL) = 0.27[/tex]

[tex]P(X=2)=P(LW)+P(TT)+P(WL) = 0.34[/tex]

[tex]P(X=3)=P(WT)+P(TW) = 0.14[/tex]

[tex]P(X=4)=P(WW)= 0.07[/tex]

Step-by-step explanation:

6 and -4

Answer:

1575 cubic feet

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

2 : x       6 : 15

Divide the second by 3

           6/3: 15/3

               2:5

x = 5

2:x is the simplified version of 6:15.

So, we can divide to find the value of x.

6/3:15/3

2:5

Therefore, the value of x is 5.

Bes of Luck!

[tex]\text{Solve for y:}\\\\2y+2=\frac{3y}{2}\\\\\text{Multiply both sides by 2 to cancel the denominator}\\\\4y+4=3y\\\\\text{Subtract 3y from both sides}\\\\y+4=0\\\\\text{Subtract 4 from both sides}\\\\\boxed{y=-4}[/tex]

Answer:-4

Step-by-step explanation:

2y+2=3y/2

Cross multiply

2(2y+2)=3y

Open bracket

4y+4=3y

Collect like terms

4y-3y=-4

y=-4

Answer:

Step-by-step explanation:

350-75%=87.5\\so 350-87.5\\=262.5\\$262.5 dolla profit\\

Answer:

20 and nine thousand nine hundred and twelve ten thousandth

Step-by-step explanation:

fifteen and eighty-eight ten thousandth =15 88/10000

Thirty six=36

36 - 15 88/10000

36 - 150088/10000

(36x10000 - 150088)/10000

(360000 - 150088)/10000

209912/10000=20 9912/10000

20 and nine thousand,nine hundred and twelve ten thousandth

The value of the expression [36 - (15 + 88 / 10,000)] is 20.9912.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Subtract fifteen and eighty-eight ten-thousandths from thirty-six. Then the expression is given as,

⇒ 36 - (15 + 88 / 10,000)

The value of the expression is calculated as,

⇒ 36 - (15 + 88 / 10,000)

⇒ 36 - (150,088/10,000)

⇒ (360,000 - 150,088) / 10,000

⇒ 209,912 / 10,000

⇒ 20.9912

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

A. associative property of addition

Step-by-step explanation:

Associative because you can add or multiply those regardless of how the numbers are grouped.

I hope this helped and have a good rest of your day!

Answer:

Associative Property of Addition

Step-by-step explanation:

This property states that the sum of 3 or more numbers stays the same, no matter how they are grouped.

Hope this helped. Have an awesome day!

Answer:

13

Step-by-step explanation:

It should just be 104 divided by 8 which equals=13

Answer:

7/8

Step-by-step explanation:

28/32

Divide the top and bottom by 4

28/4 = 7

32/4 = 8

28/32 = 7/8

Answer:

0.182.

Step-by-step explanation:

There are a total of 11 chocolates in the box.

Prob(First chocolate picked is milk) = 5/11.

Prob(Second chocolate picked is milk) = 4/10 = 2/5.

So the required probability = 5/11 * 2/5

= 10/55

= 0.182.