A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.

Answers

Answer 1

Answer:

1/25

Step-by-step explanation:

P of both answers are correct =

P first question is answered correct and P second question is answered correct

in probability,  and = multiplication

P first question is answered correct =1 correct answer/5 possible answers =1/5

P second question is answered correct = 1/5

P of both answers are correct = (1/5) · (1/5) = 1/25


Related Questions

If 8 x - 4 = 6 - 3 x then x =

Answers

Answer:

4th option is correct

Step-by-step explanation:

[tex]8 x - 4 = 6 - 3 x[/tex]

[tex]8x−4+3x=6[/tex]

[tex]11x−4=6[/tex]

[tex]11x=6+4[/tex]

[tex]11x=10[/tex]

[tex]x = \frac{10}{11} [/tex]Hope it is helpful...

Answer:

option 4 ,

x=10/11

is the answer of your question

explanation is attached below .

hope it is helpful to you

What is the smallest counting number that is divisible by 2, 4, 5, 6, and 12? express each number and your final answer as a product of primes. What do you notice?

Answers

Answer:

60

[tex]2^{2} * 3 * 5[/tex]

Step-by-step explanation:

The answer is the number 60

Solve the following equations for x,
if 0 ≤ x ≤ 2π.

i. 3csc² x – 4 = 0
ii. 4cos² x + 2cos x – 2 = 0


help me solve pls

Answers

(i) 3 csc²(x) - 4 = 0

3 csc²(x) = 4

csc²(x) = 4/3

sin²(x) = 3/4

sin(x) = ± √3/2

x = arcsin(√3/2) + 2  or   x = arcsin(-√3/2) + 2

x = π/3 + 2   or   x = -π/3 + 2

where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.

In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.

(ii) 4 cos²(x) + 2 cos(x) - 2 = 0

2 cos²(x) + cos(x) - 1 = 0

(2 cos(x) - 1) (cos(x) + 1) = 0

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

2 cos(x) = 1   or   cos(x) = -1

cos(x) = 1/2   or   cos(x) = -1

[x = arccos(1/2) + 2   or   x = 2π - arccos(1/2) + 2]   or   x = arccos(-1) + 2

[x = π/3 + 2   or   x = 5π/3 + 2]   or   x = π + 2

For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.

How many plants are shorter than 27 inches?

Answers

15 one (I think that)..

Parrot eats only ........ products​

Answers

Answer:

Maybe Plants products...

PLEASE HELP ME

Solve:

24t = 72

OA) t= 3

OB) t= 4

OC) t=- 2/1

OD) t= 1/3​

Answers

Answer:

t =3

Step-by-step explanation:

24t = 72

Divide each side by 24

24t/24 = 72/24

t=3

Answer:

A

Step-by-step explanation:

24 t = 72

divide both sides by 24

Thus, t = 72/24

t = 3

Bye ! :-)

What is the area of the parallelogram below?



7 in2
14 in2
18 in2
28 in2

Answers

Answer:

14 (B)

Step-by-step explanation:

Area = L * h

L = 7 in^2

h = 2

Area = 7 * 2

Area = 14 in^2

Answer:

14

Step-by-step explanation:

Did lesson

Which equation graphs as the parabola?
A) Ax) = x² + 4
B) f(x) = x2 + 2x + 4
C) Ax) = x² + 5x- 4
OD) Ax) = x² + 3x-4

Answers

Answer: x^2 + 3x - 4

Explanation: I used desmos to double check! This should be right :)

Which inequality represents the compound in
equality x > 3 and x < 5

Answers

Answer:love

Step-by-step explanation:

Inequalities and Absolute Value Equations.

x > 3 and x < 5

Inequality Form:3<x<5

Interval Notation:

(3,5)

An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols

What are the 5 inequalities?

The 5 inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠).

Which of the following is an example of compound inequality?

Think about the example of the compound inequality: x < 5 and x ≥ −1. The graph of each individual inequality is shown in color. Since the word and joins the two inequalities, the solution is the overlap of the two solutions. This is where both of these statements are true at the same time.

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Solve the 5 questions!!!

Answers

Answer:

What is the answer you're looking for?

Step-by-step explanation:

Can someone help me with this question please..

Answers

Answer:

The answer is (3 ,5)

Step-by-step explanation:

Please give brainliest!!!

Answer:

(3,5)

Step-by-step explanation:

order pair of A is (3,5)

3 is x component.

5 is y component.

I need some help on this math question. Please explain how you found the answer too!

Answers

Answer:

A

Step-by-step explanation:

The table represents a proportional function which has a rate of proportionality equal to 5

In fact

5:1 = 5

15 : 3 = 5

25 : 5 = 5

35 : 7 = 5

If we make 90 : 18, the result is 5, so this dates can be part of the table

A six sided number cube is rolled. What is the probability of getting a 2 and then a 1, given that the first number rolled was a 2?

Answers

Answer:

1/36

Step-by-step explanation:

P(2 then 1) = 1/6 x 1/6 = 1/36

How many different ID cards can be made if there are 8 digits on a card if digits can be repeated?​

Answers

Answer:

10*9*8*7*6*5*4*3 = 10!/2 = 1814400 Cheers

Step-by-step explanation:

hope it works.

Solve the inequality for s:
5s + 2 > 7
Answer:

Answers

Answer:

S>1

Step-by-step explanation:

5s + 2 > 7

Subtract 2 from both sides

5s>5

Divide 5 from both sides

S>1

Solution of the inequality is s>1.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.

Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.

The inequality sign must be reversed if either side is multiplied or divided by a negative number.

5s+2 > 7

Subtracting 2 on both side,

5s > 5

s>1

Therefore, the solution set of inequality is s>1.

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- b/0.1 +2.9= -35.1 no links or anything just the answer

Answers

Answer:

b = 3.8

Step-by-step explanation:

- b/0.1 +2.9= -35.1

Subtract 2.9 from each side

- b/0.1 +2.9-2.9= -35.1-2.9

-b/.1 = -38

Multiply each side by -.1

-b/.1 * (-.1) = -38 *(-.1)

b = 3.8

sample of one hundred seventy-eight students were surveyed one week prior to the election for student body president
egarding their choice of three candidates. The table below shows the results of the survey.
A
B
С
Candidates
Votes
67
57
54
Use the information above. There are 1571 students in the school. According to the survey, about how many votes can
candidate A expect to recieve?

Answers

Answer:

592 Votes

Step-by-step explanation:

According to the Question,

Given That, a sample of 178 students was surveyed one week prior to the election for student body president  Regarding their choice of three candidates.The table below shows the results of the survey.

                                 A        B       С

Candidates Votes     67      57     54

And, There are 1571 students in the school.

So, The Total votes can  candidate 'A' expect to Receive is

⇒(1571/178)×67

⇒591.33 ≈ 592 Votes(Approximately)

Perform the operation and, if possible, simplify
21/20 - 4/15

Answers

Answer:

47/60

Step-by-step explanation:

Find the LCM and multiply to get there.

LCM is 60

63/60-16/60

47/60

PLEASE HELP!

WILL MARK BRAINLIEST!!!


If AC=12cm, what is the area sector ACB to the nearest whole number?

Thank you! Multiple choice!

Answers

Answer:

38

Step-by-step explanation:

Have a nice day :)

Which expression is equivalent to square root 343x^9y^12z^6?

Answers

Answer:

Step-by-step explanation:

343: = 7 * 7 * 7

x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x

y^12: = y^6 * y^6

z^6: = z^3 * z^3

So the square root  is

√343 = 7 √7

√x^9 = x^4√x

√y^12 = y^6

√z^6 = x^3

The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.

So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.

x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.

So the answer is

7  * x^4 * y^6 * z^3 * √7x

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.


Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms.A $1 ticket gives an even chance to win one $25 gift certificate,one $15 gift certificate,or three $5 gift certificates.What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?

A: a gain of $0.45

B: a gain of $0.55

C: a loss of $0.55

D: a loss of $0.45​

Answers

Answer:  A)  gain of $0.45

===============================================

Explanation:

Let x be the net winnings the customer gets

Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.

The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize

Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95

The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.

This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.

Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.

----------------

Here's another way to see why this works:

The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.

look at the image and I need help with that

Answers

Answer:

A - The sum of a unknown value times 3 and 5. B - The sum of a unknown number subtracted by 2 being multiplied by 4.

Step-by-step explanation:

A - The sum of a unknown value times 3 and 5. B - The unknown value subtracted by 2, then multiplied by 4.

Step-by-step explanation:

So, lets pick apart the expressions.

We know the variables will be unknown values:

3unknown value + 5

We know that a number in front of a variable is multipication, so:

3 times unknown value + 5

We know there is a addition symbol, which means a sum of two numbers.  

So:

3 times a unknown value and the sum of 5

5 is just 5, so we can write it as it is.

This might be read as 3 times both the 5 and unknown value, so we want to make sure they are seperate:

3 times a unknown value plus by 5

So basically, instead of talking about the sum of the two numbers, I used plus so that the numbers are seperate. THis way there is no confusion in the answer.  

Next we have 4(x-2)

So first off, x is our unknown value:

4(unknown value-2)

- is subtraction, so:

4(unknown value subtracted by 2)

2 remains as 2.

4 is multiplying the parenthese, so basically, the x-2 is done first. THen it is multiplied by 4. This means the multiplied by 4 should come after the unknown value si subtracted by 2:

The unknown value subtracted by 2, then multiplied by 4.

I used a then to seperate the unkownv alue subtracted by 2 and the multiplied by 4.

How is the product of a complex number and a real number represented on the coordinate plane?
A. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.
B. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a countercockwise rotation of 90 degrees of the complex number.
C. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a clockwise rotation of 90 degrees of the complex number.
D. When 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows the product is a counterclockwise rotation of 90 degrees and a scalar of the complex number.
Please help I don't know which one.

Answers

Answer:

A

Step-by-step explanation: When you multiply a coordinate in the complex plane it doesn't just magically rotate. It works the exact same way a normal coordinate would. Therefore, the answer is A

When 2 + 3i is multiplied by 3, the result is 6 + 9i. Graphically, this shows that the product is a scalar of the complex number.

The correct answer is an option (A)

What is a complex number?

"It is number of the form [tex]x+iy[/tex] where the first part (x) is called real part and the second part ([tex]iy[/tex]) is called as imaginary part and [tex]i=\sqrt{-1}[/tex]"

What are real numbers?

"It is a combination of rational and irrational numbers, including positive and negative whole numbers, integers, decimals, fractions"

For given example,

The product of a complex number and a real number.

Let, [tex]u[/tex] be any real number and [tex]x+iy[/tex] be any complex number.

The product of 'u' and 'x + iy' is,

[tex]\Rightarrow u\times(x+iy)=(u\times x)+i(u\times y)\\\\\Rightarrow u(x+iy)=ux+i(uy)[/tex]

Let [tex]2+3i[/tex] be a complex number.

For [tex]u=4[/tex],

[tex]\Rightarrow 4\times(2+3i)=8+12i[/tex]

Let [tex]u=-2[/tex],

[tex]\Rightarrow -2\times(2+3i)=-4-6i[/tex]

We can observe that, the product is a scalar of the complex number.

Therefore, when 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.

The correct answer is an option (A)

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Write a linear factorization of the function.
f(x) = x4 + 16x2

f(x) = x2 (4x + i)(4x - i)
f(x) = x2 (x + 4i)2
f(x) = x2 (x + 4i)(x - 4i)
f(x) = x2 (4x + i)2

Answers

Answer:

f(x) = x^2 ( x -4i) (x+4i)

Step-by-step explanation:

f(x) = x^4 + 16x^2

Factor out x^2

f(x) = x^2 ( x^2 +16)

f(x) = x^2 ( x^2 - -16)

The square root of -16 is 4i and -4i

Using the difference of square (a^2 - b^2) = (a-b)(a+b)

f(x) = x^2 ( x -4i) (x+4i)

Trong không gian Oxyz, cho a b c      2;2;0 , 2;2;0 , 2;2;2 .     
  
Giá trị của a b c  
  
bằng

Answers

Answer:

good question

Step-by-step explanation:

help pls? asap. pls and ty :)​

Answers

Answer:

a

Step-by-step explanation:

1/2x-30aaaaaaaaaaaaaaaa

In one season, a basketball player missed 15% of her free throws. How many free throws did she attempt if she made 102 free throws? Write the exact answer. Do not
round

Answers

Answer:

120 free throws

Step-by-step explanation:

If she misses 15% of her free throws, that means she makes 85% of them.

Find how many she attempted by dividing 102 by 0.85:

102/0.85

= 120

So, she attempted 120 free throws

The number of free throws that were attempted is 120 free throws.

Since the basketball player missed 15% of her free throws, This means that the percentage scored will be:

= 100% - 15% = 85%

Therefore, 85% of x = 102

0.85x = 102

x = 102/0.85.

x = 120

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jessica is planning a lunch banquet. the equation C=760+21g models the relation between the cost in dollars, C of the lunch banquet and the number of guest, g. find the cost if the number of guest is 30

Answers

Answer:

C = 1390

equation :

C=760+21g

Variables understanding

g = guest

c= cost

We are Finding C

If C is unknown

and c = 30.

C=760+21 x 30

C = 760+630

C = 1390

Answer:

1389

Step-by-step explanation:

hope this helps alot

is 2(9x) and 18x
Equivalent?
Explain why

Answers

Yes they are both equivalent because 2 times 9 is 18 and if you add the x it is 18x

Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, what can we conclude about the slope of weight

Answers

Answer:

The answer is "Option 5"

Step-by-step explanation:

Please find the complete question in the attached file.

Throughout the above output the regression equation is:

Delivery cost [tex]=0.469\times weight +9.617[/tex]

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This Technology can be very promising but I can see situations where the effectiveness can be compromised, for example, motorcycles, how you will be able to launch the device and attach it to such a small target efficiently? It can be situations that the technology can't be used as planned but, in my opinion, the combination between technology and the existing law enforcement resources, like air units, undercover patrols, can be the perfect combination and together come up with the best and safest plan to avoid put the officers and the community at risk.