A test contains two multiple-choice questions. If a student makes a random guess to answer each question. (Hint: Consider two outcomes for each question—either the answer is correct or it is wrong.) 2.2.1 How many outcomes are possible?

Answers

Answer 1

Answer: 2

Step-by-step explanation: he could ethier get t right or get it wrong


Related Questions

Alice walks along a road which can be modeled by the equation y=6x, where (0,0) represents her starting point. When she reaches a certain point A, she turns right, so that she is traveling perpendicular to the original road, until she stops at the point (333,0). What was the point A where Alice turned?

Answers

9514 1404 393

Answer:

  (9, 54)

Step-by-step explanation:

The first road has a slope of 6 on its graph. So, the perpendicular road will have a slope of -1/6, the negative reciprocal of the slope of the original road. Translating that from y=-1/6x the the right by 333 units, the equation of the second road is ...

  y = -1/6(x -333)

The point where Alice turned is the point of intersection of these two equations:

y = 6xy = -1/6(x -333)

Substituting for y, we have ...

  6x = -1/6(x -333)

  36x = -x +333 . . . . . multiply by 6, eliminate parentheses

  37x = 333 . . . . . . . .  add x

  x = 9 . . . . . . .  divide by 37

So, the point where Alice turned is ...

  (x, y) = (9, 6·9)

  (x, y) = (9, 54)

Horses A veterinarian measures a horse to be 7.5
ft tall at the shoulder to the nearest half foot. What
are the minimum and maximum possible heights of
the horse?

Answers

Answer:

Minimum height is 7.25ft and maximum height is 7.75ft

Step-by-step explanation:

You measured to the nearest half foot, so the greatest possible error is 0.25 foot.

Minimum height= measured value-possible error= 7.5-0.25= 7.25ft

Maximum height= measured value+possible error= 7.5+0.25= 7.75ft

Alice and her two sisters, Betty and Carol, are avid tennis players. Betty is the best of the three sisters, and Carol plays at the same level as Alice. Alice defeats Carol 50% of the time but only defeats Betty 40% of the time. Alice’s mother offers to give her $100 if she can win two consecutive games when playing three alternating games against her two sisters. Since the games will alternate, Alice has two possibilities for the sequence of opponents. One possibility is to play the first game against Betty, followed by a game with Carol, and then another game with Betty. We will refer to this sequence as BCB. The other possible sequence is CBC.
Calculate the probability of Alice getting the $100 reward if she chooses the sequence CBC.

Answers

Answer:

0.484

Step-by-step explanation:

Given that:

Alice defeats Carol 50% of the time.

This implies that, the probability of defeating Carol = 0.5

Also the probability of losing to Carol = 1 - 0.5 = 0.5

Similarly, Alice defeats Betty 40% of the time.

The probability of Alice defeating Betty = 0.4 and the  probability of losing to Betty = 1 - 0.4 = 0.6

However, in as much as Alice needs to win two consecutive games, the sequence which satisfies this condition are as follows:

Let W represent Win and L represent L.

Then the conditions are WWW, WWL and LWW

Since the outcome of each game is independent of the other games.

Then, the probability that Alice wins two games against Carol CBC is:

Pr(2W - CBC) = (0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5)

Pr(2W - CBC) = 0.1 + 0.1 + 0.1

Pr(2W - CBC) = 0.3

The probability that Alice wins two games against Betty (BCB) is:

Pr(2W - BCB) = (0.4 × 0.5 × 0.4) + (0.6 × 0.5 × 0.4) + ( 0.4 × 0.5 × 0.6)

Pr(2W - BCB) =  0.08 + 0.12 + 0.12

Pr(2W - BCB) = 0.32

However, the Probability of winning two consecutive games is the result of the addition of the probability of winning two consecutive games in the sequence CBC together with the probability of winning two consecutive games in the sequence of BCB.

i.e.

Pr(2W) = Pr(2W- CBC) + Pr(2W - BCB)

Pr(2W) = 0.3+0.32

Pr(2W) = 0.62

Finally, to calculate the probability that Alice will get $100 if she chooses the sequence CBC is:

[tex]\dfrac{Pr(2W -CBC)}{Pr(2W)}= \dfrac{0.3}{0.62}[/tex]

[tex]\mathbf{\dfrac{Pr(2W -CBC)}{Pr(2W)}= 0.484}[/tex]

Kara has 5 exams scores 58,73,85,83, and 79 in her biology class. What score does she need on the final exam to have a mean grade of 70

Answers

Her final exam will be her 6th exam. To determine the her final exam  score we can use this equation:

Mean = All scores/6

70 = (58 + 73 + 85 + 83 + 79 + x )/6  ⇒ x stands for the final exam mark

70 = 378 + x /6   ⇒ Multiple both sides by 6 to cancel it out

420 = 378 + x   ⇒ Subtract 378 from both sides to isolate x

420 - 378 = x

42 = x

Therefore, she must get at least 42% on her final to maintain a 70% average.

This is 42=x because of how many times it is multiplying

Determine the x- and y-intercepts of the graph of x+2y=−4 .

Then plot the intercepts to graph the equation.

Answers

Answer:

x-intercept: (-4,0)

y-intercept:(0,-2)

Step-by-step explanation:

Answer:

Blue dots are correct

Step-by-step explanation:

I took quiz

a group of 29 friends gets together to play a sport first people must be divided into teams each has to heve exactly 4 players and no one can be on more than one team how many teams can they make (it is possible that not everyone can be on a team)​

Answers

Answer:

7 groups or teams

Step-by-step explanation:

7 x 4 is 28, as close as we can get to 29.

2. Rewrite 326 in scientific notation.
O 32.6 x 101
O 3.26 x 102
O 0.326 x 103

Answers

Answer:

3.26 x 102

Step-by-step explanation:

10 squared is 100

3.26 x 100 = 326 because you move the decimal to the right 2 spots

Charles walked on a treadmill 16 3/4 miles over 4 days. How many miles did he walk per day?

Answers

I won’t Tell you the answer but I can tell you how to do it, so take 16 3/4 and divide it by 4 and you get your answer.
4.1875!!!!!!!!!!!!!!!!!!!!!

If f(x) = -3x4 - 2x3 + 3x2, and g(x) = 3x4 - 4x3 + x2 then f(x) + g(x) =​

Answers

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[tex]f(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} [/tex]

[tex]g(x) = 3 {x}^{4} - 4 {x}^{3} + {x}^{2} [/tex]

[tex]f(x) + g(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} + 3 {x}^{4} - 4 {x}^{3} + {x}^{2} \\ [/tex]

[tex]f(x) + g(x) = - 3 {x}^{4} + 3 {x}^{4} - 2 {x}^{3} - 4 {x}^{3} + 3 {x}^{2} + {x}^{2} \\ [/tex]

[tex]f(x) + g(x) = - 6 {x}^{3} + 4 {x}^{2} \\ [/tex]

Done....

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Answer:

_

1-+\|13

x= -------- or x1= - + 0.434259, x2=0

6

Step-by-step explanation:

1. collect terms

2. factor the expression

3. divide both sides

4. separate into possible cases

5. solve the equation

6.Equation has 3 solution

Find the volume of a pyramid with a square base, where the perimeter of the base is 15.4 and the height of the pyramid is 13.1. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer: 69.3

Explanation: So if the height is 13.1, that means that the length is 2.3. And to find volume, you do length times width times height. So the width would be 2.3 because it is a even square if that makes since. Now 2.3 times 2.3 is 5.29. Now we multiply 5.29 by 13.1. The answer is 69.299. Now we round this to the nearest tenth, so the answer would be 69.3.

The requried volume of the pyramid is 64.9 cubic meters.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:

15.4 / 4 = 3.85

Therefore, the area of the base is:

A = (3.85)² = 14.8225 square meters

The volume of a pyramid is given by the formula:

V = (1/3) * A * h

where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:

V = (1/3) * 14.8225 * 13.1

V = 64.91925 cubic meters

Rounding to the nearest tenth of a cubic meter, we get:

V ≈ 64.9 cubic meters

Therefore, the volume of the pyramid is approximately 64.9 cubic meters.

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Select the correct answer.
Which equation is equivalent to the given equation?
–8(x + 13) = 2(1 – 7) + 4x

A -80 + 13 = -2x + 14
-8x + 13 = 6x - 7
-8x - 104 = 60 – 14
-8x - 104 = -2.3 + 14

Answers

Answer:

C. -8x-104=6x-14

Step-by-step explanation:

–8(x + 13) = 2(x – 7) + 4x

-8x-104=2x-14+4x

-8x-104=6x-14

Help meeeeeeeeeeeeee with thisssss please? i’l give brainiest or whatever it is called .

Answers

Answer:

16

Step-by-step explanation:

the amount of peppers are double the amount of servings, 8x2 = 16

Answer:

16

Step-by-step explanation:

8-4/ 4-2= 2

8 x 2= 16

Please Help! I will give brainlist whoever answer first!
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the nearest tenth)?
A) 6.4
B) 12.7
C) 15.2
D) 52.2

Answers

Answer:

d

Step-by-step explanation:

add all together equals 522

522/10 = 52.2

The mean absolute deviation of the data set of 15.2

What is mean absolute deviation?

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.

Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Given is a data set, we need to find the mean absolute deviation for the group,

So,

The mean = 38+45+76+93+50+54+29+44+62+31 / 10

= 522/10 = 52.2

Now finding the absolute deviation =

|52.2-38| = 14.2

|52.2-45| = 7.2

|52.2-76| = 23.8

|52.2-93| = 40.8

|52.2-50| = 2.2

|52.2-54| = 1.8

|52.2-29| = 23.2

|52.2-44| = 8.2

|52.2-62| = 9.8

|52.2-31| = 21.2

The mean absolute deviation = 14.2 + 7.2 + 23.8 + 40.8 + 2.2 + 1.8 + 23.2 + 8.2 + 9.8 + 21.2 / 10

= 152.4 / 10

= 15.24

≈ 15.2

Hence, the mean absolute deviation of the data set of 15.2

Learn more about mean absolute deviation, click;

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Find the scale of the 3 copies

Answers

im sorry but i dont really understand your question :c

I will give you branilest!
Please answer all of the screenshot questions and the question below.

What does the constant of proportionality represent?

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. ... Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Sean took out a loan for $1000. He repays $50 twice per month on the
loan. The amount of money Sean owes , y, is a function of the number of
months since he took out the loan, x. Write an equation to model the
situation.

Answers


It would be 50x =1000 because x is the loan he took so you need to keep the x in check
The answer is: 50x=1000

What is the answer for 7/10=z/8 please explain steps

Answers

Answer:

5.6

Step-by-step explanation:

Step 1:

7/10 = z/8       Equation

Step 2:

10z = 56      Multiply

Step 3:

z = 56 ÷ 10     Divide

Answer:

z = 5.6

Hope This Helps :)

Use the properties of exponents to enter an equivalent expression with a single exponent. (10^4)^3 =

Answers

Answer:

10000^3

Step-by-step explanation:

Complete the square. Please help ASAP

Answers

[tex]x^2 + 4x + (\frac{4}{2})^2 = x^2 + 4x + 4[/tex]

Answer is 4

there were 3,905 more hits on the schools website in january than february. february had 9,854 hits, how many hits did the schools website have during both months

Answers

Answer:

If im not wrong the answer is 23,613.

Step-by-step explanation:

9,854+3,905=13,759+9,854=23,613.

A grocery store sells a bag of 5 oranges for $3.00. What is the cost of oranges, in dollars per orange? On the double number line below, fill in the given values, then use multiplication or division to find the missing value

Answers

Answer:

0.6

Step-by-step explanation:

5:3

x:1

3x=5

x=0.6

0.6 or 0.60 basically 60 cents because 60x5= 300 or 3.00

ONE OF THE COLDEST TEMPERTURES EVER RECORDED WAS -128F IN ANTARCTICA. ONE OF THE WARMEST TEMPERATURES EVER RECORDED WAS 134 DEGREES FAHRENHEIT IN DEATH VALLET CALIFORNIA. HOW MANY DEGRESS DIFFERENCE ARE THERE BETWEEN THE COLDEST AND WARMEST RECORDED OUTSIDE TEMPERTURE

Answers

Answer:

271 degrees

Step-by-step explanation:

143-(-128)=143+128=271 degrees

g Benton Industries manufactures carpets and draperies in the Atlanta area. Employee absenteeism was becoming a problem, so HR conducted a study involving a random sample of employees. The number of absences during the past year was tabulated by marital status. What is the probability that an employee is not married and has between 1 and 5 absences in the past year

Answers

Answer:

The probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.

Step-by-step explanation:

The probability of an event, say E is the ratio of the favorable number of outcomes to the total number of outcomes.

[tex]P(E)=\frac{n (E)}{N}[/tex]

The number of absences during the past year tabulated by marital status is as follows:

Marital Status      0 Absences     1 - 5 Absences     More than 5 Absences

  Married                     100                     98                              52

Not Married                  77                     102                              71

Compute the probability that an employee is not married and has between 1 and 5 absences in the past year as follows:

[tex]P(\text{NM}\cap 1-5\ \text{Absences})=\frac{n(\text{NM}\cap 1-5\ \text{Absences})}{N}[/tex]

                                       [tex]=\frac{102}{100+98+52+77+102+71}\\\\=\frac{102}{500}\\\\=0.204[/tex]

Thus, the probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.

I wanna make one lucky winner happy ill give points, brainly, thanks to all your answers, and 5 stars.

Answers

Answer:

thank you

Step-by-step explanation:

help! for 22 points

Answers

Answer:for a is (x,y) = (1, -5)

B is (x,y) ∈∅

And lastly is c is (x, y) = ( x , 1 - 7x), x∈

Step-by-step explanation:

for a is (x,y) = (1, -5)

B is (x,y) ∈∅

And lastly is c is (x, y) = ( x , 1 - 7x), x∈

PLEASE HELPPPP I WILL MAKE YOU THE BRANILEST The value of x and y are proportional. Find the Constant of Proportionality (k) and find the missing values. Explain in writing under each rate table.



X
9


5


y
36
16


8

Answers

I have no clue I think your in a higher grade than me sorry couldn’t help you

Solve for N.
5
6
15
N

Answers

10? Not 100% sure though!
5x3=15
so 6x3=18

so

n= 18

HELP PLEASE Which equation shows a proportional relationship between x and y?

y = 4x
y=−3x−2
y = 3x + 1
y = 9

Answers

Answer:

y = 3x + 1 I think........

Can someone help ? Thankssss

Answers

Answer:

im not sure but I think is c

8.
The gas tank on Kayla's car holds 16 gallons of
gas. The fuel gauge of her car shows that the
gas tank is full. How many gallons of gas are
in the gas tank?
Your answer
This is a required question

Answers

the answer you are looking for is 12! have a great day!:)
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