Miguel has to take two quizzes tomorrow. He has only enough time to study

for one of them.

• The history quiz has 4 true-or-false questions.

• The science quiz has 3 multiple-choice questions.

Miguel calculates the probability that he will get all the questions correct by

guessing.

To get 100% correct:

P(guess is correct)

History

Answer 4 of 4 correctly.

0.5

Science

Answer 3 of 3 correctly.

0.2

Miguel will study for the quiz on which he is likely to do worse by guessing.

Which quiz should he study for?

O

A. History, because he must get more questions correct.

B. Science,

C.History,

Answers

Answer 1

Answer:

Option B is correct.

Miguel should study for the Science quiz as he will do worse in that quiz by guessing.

Step-by-step explanation:

Miguel has to take two quizzes

1) 4 true or false questions on History with a 0.5 chance of acing the quiz

Expected number of correct questions = np

n = number of questions

p = probability of acing the test

Expected number of correct questions = 4 × 0.5 = 2

2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.

Expected number of correct questions = 0.2 × 3 = 0.6

It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.

Hope this Helps!!!

Answer 2

Answer:c

Step-by-step explanation:


Related Questions

What is “rate of change”? Hint: it’s NOT “y=mx+b.” What term (begins with an S!) is it very closely related to?

Answers

Answer:

Standard Form

Step-by-step explanation:

Answer:

Rate of change refers to the change in one variable (i.e. independent variable) as a result of a change in another (i.e. dependant variable). A very common example is speed as it refers to the change in distance per a change in time. Graphically representing the relationship between two variables, the rate of change will be the gradient or slope of the graph.

30 points
In two or more complete sentences, discuss the advantages and disadvantages of investing in a CD versus investing in a basic savings account.

Answers

A savings account helps you save for retirement and college while a CD isn’t typically used for that. A savings account is much more beneficial because it is also an emergency fund when you need it.

PLEASE!!!
A survey asks a random sample of 2500 adults in Ohio if they support an increase in the state sales tax from 5.25% to 5.50%, with the additional revenue going to education. Let X denote the number in the sample that say they support the increase. Suppose that 30% of all adults in Ohio support the increase.

9. The standard deviation of X is

a. 22.91.

b. 27.39.

c. 5255.

d. 750.


10. The probability that X is at least 800 is

a. less than 0.0001.

b. about 0.015.

c. 0.025.

d. 0.05.

Answers

Answer:

Step-by-step explanation:

a) Total number of people surveyed, n = 2500

Let X denote the number in the sample that say they support the increase. If 30% of all adults in Ohio support the increase, it means that the percentage of all adults in Ohio that did not support the increase is

100 - 30 = 70%

This is a binomial probability because there are only two possible outcomes. Therefore,

Probability of success, p = 30/100 = 0.3

Probability of failure, q = 1 - p = 1 - 0.3

q = 0.7

Standard deviation = √npq

Standard deviation = √(2500 × 0.3 × 0.7) = 22.91

b) The probability that x is at least 800 is expressed as

P(x ≥ 800)

We would determine the probability by using the binomial probability calculator. Therefore,

P(x ≥ 800) = 0.01577

b. about 0.015.

What is 3 1/2 times 2 4/5​

Answers

Answer:

9 4/5

Step-by-step explanation:

You can rewrite them into decimal. It would be 3.5 times 2.8 and you get 9.8 or 9 4/5

Answer:

49 /5  = 9.8

Step-by-step explanation:

What is the first quartile, Qı, of the data set?
{23, 28, 28, 36, 56, 60, 61, 65, 70}
Enter your answer in the box.
Q1
---

Answers

Answer:

28

Step-by-step explanation:

take the median of the data set which is 56 and then take the median of the numbers before 56

28 is the median Q1 is 28

Answer:

28

Step-by-step explanation:

First step is to find the median of the data set.

The median is the middle value of the data arranged in ascending order. If there is not an exact value then it the average of the values either side of the middle.

23  28  28  36  56  60  61  65  70

                          ↑ median

The first quartile [tex]Q_{1}[/tex] is the middle value on the left side of the median.

23  28  28  36

          ↑

[tex]Q_{1}[/tex] = [tex]\frac{28+28}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28

 

hi what is the answer

Answers

Answer:

A= 36π mm²

Step-by-step explanation:

Area of circle = πr² where radius= 6mm

A = π(6)²

A= 36π mm²

Model 4 + (-6) on the number line.
-4
-5
-6
--10-9
-8
3
- 2
1
--7
0
4
7
1
2
5
3
6
9
8
10

Answers

Answer:

The answer is -2

Step-by-step explanation:

start at 4 and go to the left six times

4+(-6)=4-6=-2

please help im having trouble with these problems​

Answers

Answer:

B I think

Step-by-step explanation:

An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides
the same height as the square sides but twice their length. The total area of the five sides 15 2,592 in?.
Find the volume of the aquarium. Complete the explanation of your reasoning.
Let x represent the length and height of the square sides. Then the longer sides and the bottom measure
2x by x. The total area of the five sides, in terms of x, is A =____
So, the total area of the five sides,
A, is 2,592 in2. Solving for x we get x =____
The tank's volume is ____
in squared?

Answers

Answer:

volume = 11,664 units cubed

Step-by-step explanation:

2[tex]x^{2}[/tex] times 3 = bottom and sides

[tex]x^{2}[/tex] times 2 = ends

A = 6[tex]x^{2}[/tex] + 2[tex]x^{2}[/tex] = 8[tex]x^{2}[/tex]

2592 = A

2592/8 = 8[tex]x^{2}[/tex]/8

324 = [tex]x^{2}[/tex]

take square root of both sides

18 = x

so volume = length times width times height

2(18) times 18 times 18 = 11664

11664 units cubed

Which is the coldest temperature? Explain how you determined this using the number line.

Answers

Answer:

The coldest temperature would be -4 °F, because it is the farthest number on the left side of zero on the number line.

what is the quotient of the equation Below in simplest form? State any restrictions on the variable

Answers

Answer:

A

Step-by-step explanation:

Factor the numerators/ denominators where possible, that is

[tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] ÷ [tex]\frac{(x-5)(x+3)}{(x+4)(x+1)}[/tex]

Leave the first fraction, change division to multiplication and turn the second fraction upside down.

= [tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] × [tex]\frac{(x+4)(x+1)}{(x-5)(x+3)}[/tex]

Cancel the factors (x - 5) and (x + 4) from numerator/denominator

= [tex]\frac{-1}{(x-1)}[/tex] × [tex]\frac{(x+1)}{(x+3)}[/tex]

= [tex]\frac{-(x+1)}{(x-1)(x+3)}[/tex] , x ≠ 1, x ≠ - 3

You are assigned a computer generated 4-digit password to access your new voice mail account. If the
digits can not be repeated, how many passwords are possible?
b
34 different passwords are possible
5,040 different passwords are possible
40 different passwords are possible
10,000 different passwords are possible
d

Answers

Answer:

5,040 different passwords are possible

Step-by-step explanation:

Assuming that 4-digit means using only numeric values.

This is a permutations problem.

n = number of values used with number values only this is 10

r = the number used in each case without repeating in this case 4

nPr = n! / (n - r)!

nPr = 10! / (10-4)!

nPr = 10! / 6!

The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24

A quick hack for dividing factorials is to use cancelling.

10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)

= 5040

BRAINLIEST MARKED!! PLSS HELP ASAPP!! Plz show all work!!!

Answers

Answer:

551.7

Step-by-step explanation:

it is the square + the circle

15*25+πr²

375+π(15/2)²

375+π225/4

375+176.625=551.625

Answer:

E) 551.7 ft Squared

Step-by-step explanation:

First find the area of the rectangle. 15 x 25 = 375. Then remove the rectangle so your left with a circle with a diameter of 15. Find the area of the circle.            Pi x R squared. Pi x 7.5 squared = 176.7 . Then add the areas together.                         375 + 176.7 = 551.7

A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?

Answers

Answer:

50 liters

Step-by-step explanation:

If x is the volume of 20% acid, then:

x (0.20) + 20 (0.45) = (x + 20) (0.30)

0.2x + 9 = 0.3x + 6

3 = 0.1x

x = 30

30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.

what is the answer to -12= -2x-4x

Answers

Answer:

x = 2

Step-by-step explanation:

-12 = -2x - 4x

-12 = - 6x

x = -12/(-6) = 2

Answer:

Step-by-step explanation:

From the moment the first car started how many hours will it take the second car to catch up to the first

Answers

Answer:

HELP

Step-by-step explanation:


What is the inverse function of f(x) = 4x + 3?

Answers

Answer:

f(x)=(x-3)/4

Step-by-step explanation:

To find the inverse of a function, I like to flip the x and the y, and then try to isolate the y. In this case:

x=4y+3

x-3=4y

y=(x-3)/4

Hope this helps!

f-1(x)=x-3/4 that is the answer hope it helps

hannah made 0.7 of her free throws in a basketball game.abbrahmade 9/10 of her free throws.dinah made 3/4 of her free throws. who is the best shooter. EXPLAIN!!

Answers

Answer:

Abbrah is the best shooter.

Step-by-step explanation:

Hannah made 0.7 which is equal to 70 out of 100 shots.

Dinah made 3/4 which is equal to 75 out of 100 shots.

Abbrah made 9/10 shots which is equal to 90 out of 100 shots.

Answer:

Abbrah is the best shooter

Step-by-step explanation:

In ΔIJK, the measure of ∠K=90°, the measure of ∠J=76°, and JK = 3.6 feet. Find the length of IJ to the nearest tenth of a foot.

Answers

This is my answer
Hope it help!

What is the surface area of this figure?

Answers

Answer:

328

Step-by-step explanation:

write an equation that represent the line. ASAP !!!!!! 40 POINTS + BRAINLIEST

Answers

Answer:

y = (3/2)x + 3

Step-by-step explanation:

slope is rise over run so 3 up and, 2 right

y-intercept is at (3,0)

A cube has an edge measuring 6 cm. Find its volume.

Answers

Answer:

216

Step-by-step explanation:

Hope this helps.

Answer:

Side of cube = 6 cm

Volume = side ^3 = 6^3 = 216 cm^2

A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?

Answers

Answer:

[tex]\frac{7\pi}{4}[/tex].

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = [tex]56\pi\text{ cm}^2[/tex]

Formula for area of sector is

[tex]A=\dfrac{1}{2}\theta r^2[/tex]

where, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.

[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]

[tex]56\pi=\dfrac{64}{2}\theta[/tex]

[tex]56\pi=32\theta[/tex]

[tex]\dfrac{56\pi}{32}=\theta[/tex]

[tex]\dfrac{7\pi}{4}=\theta[/tex]

Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct????The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.

Answers

Answer:

It's the second description

Step-by-step explanation:

It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.

Answer:

The correct answer is the 2nd option

Step-by-step explanation:

How is the distributive property used when multiplying two binomials

Answers

Answer:

Step-by-step explanation:

When multiplying a binomial times a binomial, each term of the first binomial must be multiplied by each term of the second binomial. Like terms are then combined.

When multiplying two binomials, four multiplications must take place. These multiplications can occur in any order, as long as each of the first two terms is multiplied by each of the second two terms.

There are numerous ways to set up the multiplication of two binomials. The two basic formats, horizontal line-up and vertical line-up, are similar to what we saw in adding and subtracting polynomials. Let's investigate the simple product (x + 2)(x + 4) with a variety of set-ups. Start with the first term of the first binomial (the blue x).

• Distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).

• Then take the second term in the first binomial (including its sign: +2) and distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).

• Add the results, combining like terms when needed.

• This method will work with all polynomials, not just binomials times binomials.

Answer:

Distributive.

Step-by-step explanation:

I did the quiz.

Can anyone help explain this to me lol-

-Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. ​
7.4 cm, 8.1 cm, 9.8 cm​

A.unique triangle
B.many different triangles
C.no triangles
Thanks to anyone who helps-

Answers

Answer:

Since you are given ALL three sides, then you will ALWAYS be able to make ONLY unique triangles.   ^‿^

solve for the value of each letter.
1. 6x + 10 = 28
2. -2m - 4 = 8
3. x + x + 2x = 48
4. 3y + 4 + 3y - 6 = 34
5. 9( w - 6 ) = 36
6. -5 ( t + 3 ) = -30
7. 5z + 2 = 3z - 10
8. 11 + 3x + x = 2x - 11
9. -5 ( n -1 ) = 7 ( n + 3 )
10.-3 (c - 4 ) -2c - 8 = 9 ( c + 2 ) + 1

Answers

Answer:

Step-by-step explanation:

1] 6x + 10 = 28  {subtract 10 from both sides}

6x + 10 -10 = 28 - 10

6x = 18  {Divide both sides by 6}

6x/6 = 18/6

x = 3

2]  -2m - 4 = 8 {Add 4 to both side}

 -2m - 4 + 4 = 8 + 4

-2m = 12  {Divide both sides by -2}

-2m/-2 = 12/-2

m = -6

3] x + x + 2x = 48  {add the like terms}

  4x = 48  {divide both sides by 4}

4x/4 = 48/4

x = 12

4] 3y +4 +3y  - 6 = 34 {add the like terms}

   6y - 2 = 34  {Add 2 to both side}

6y - 2 + 2 = 34 +2

6y = 36 {divide both sides by 6}

6y/6 = 36/6

y = 6

5]9(w - 6) = 36 {divide both sides by 9}

[9(w - 6)]/9 = 36/9

w - 6 = 4  {Add 6 to both sides}

w - 6 + 6 = 4 + 6

w = 10

Answer:

w = 10

Step-by-step explanation:

You first mutlply like terms and then add it up

is this correct? it might be hard to read tho​

Answers

Yes thats the right answer

Math question down below

Answers

Answer:

answer is A.

Step-by-step explanation:

divide price by amount of kg to see how much it cost per kg. Find the lowest answer by doing this to all answers. Don't forget to round to the nearest cent!

Read the lines from Langston Hughes's poem ", Too, Sing America."
Tomorrow,
I'll be at the table
When company comes.
The lines promoted social change in the United States in the first half of the twentieth century because they spoke about
Ob
equal rights for African Americans.
European Americans' views of African Americans.
parties hosted by European Americans.
African Americans working as servants.
Od

Answers

Maybe summarize next time!

Answer:

Answer: D) equal rights for African Americans

Step-by-step explanation:

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