A really tough trivia quiz has 50 multiple-choice questions, each with four possibleanswers. Use a normal approximation to calculate the probability of randomly guessing the correct answers for at least half of the questions.

Answers

Answer 1

Answer:

0.00004

Step-by-step explanation:

Given that:

n = 50

Number of options = 4 ; 1 is the correct answer

Hence ;

p = 1/4 = 0.25

Using normal approximation :

Mean (m) = np = 50 * 0. 25 = 12.5

Standard deviation (s) = √(n*p*q)

q = 1 - p = 1 - 0. 25 = 0.75

s = √(50*0.25*0.75) = 3.062

At least half the question :

Half the question = 1/2 * 50 = 25

P(X ≥ 25) = P(X ≥ 24.5)

(x - m) / s

P(X ≥ 24.5) = (24.5 - 12.5) / 3.062

= 12 / 3.062

= 3.919

P(Z ≥ 3.919) = 0.00004 (Z probability calculator)


Related Questions

Hi, anyone know this? ^^ ill give brainliest if right

Answers

Answer:

9/16

Step-by-step explanation:

3/4 x 3/4 = 9/16

Steph owed her mother $84. She earned $6.25 for raking the leaves each week and 3.25 for unloading the dishwasher each week, how many weeks would it take her to pay her mother back?

Answers

Answer: About 10 weeks

Step-by-step explanation:

Step 1- 6.25 + 3.25 = 9.50

Step 2- 84 - 9.50 = 74.50

Step 3- 74.50 divide by 7

Step 4- Answer 10. 64285 and so on

can someone help me with this?

Answers

A) vertical angles
B) same side interior angles
C) alternate interior angles
D) corresponding angles

The radius of circle A is half of the radius of circle B. What is the area of circle A
A) 1/2 the area of circle B
B) 1/4 the area of circle of B
C) pi/4 the area of circle of B
D)pi/2 the area of circle B
E) square root of 1/pi the area of circle B

Answers

The answer is D Explanation: I learned this already and I had this question before and I got it right

The sum of four times Juanita’s age and 16 is 100. Juanita is j years old. How old is Juanita?

Answers

Answer:

Step-by-step explanation:

Juanita is 36 years old.

100 - 16 x 4

36

Hope this helps!

Need help please don’t understand

Answers

Answer:

7x+20

Step-by-step explanation:

To simplify you mainly just try and combine the terms

First step is to distribute the 2 that is in front of "(5+3x)"

the way you do this is multiply everything inside the parantheses by 2

(5•2+3x•2) = 10+6x

put that into the original equation and now we just have the easy part

10+6x+x+10

combine alike terms

6x+x=7x 10+10=20

7x+20 is that equation simplified

Answer:

7x+20

Step-by-step explanation:

2*5+2(3x)+x+10

10+2(3x)+x+10

10+6x+x+10

6x+x+20

7x+20

what are the missing angles?

Answers

Answer:

To determine to measure of the unknown angle

Step-by-step explanation:

If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2

"To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2."

Please help! Will mark you brainiest

Answers

the measure of 1 would be 51
actually, i think angle 1 would be 39 degrees. an angle bisector means that an angle is split evenly in half; therefore the two angles created by the bisector should be equal <3

7. You toss two dimes 24 times and record the results. The table shows the frequency and the experimental probability of each outcome. Suppose you tossed the dimes 120 times. How many times would you expect an outcome of "tail and tail?" *
help please

Answers

Answer:

i need this answer

Step-by-step explanation:

!!!Factor each completely, please
do as many as you can please

1) x²+15x+56
2) 12x²-44x+77
3) 6x+21
4) 18x³-2x+27x-3
5) 32x³-4
6) 8x²+10x-25
7) x²+5x-36
8) 2x²+20x+48

Answers

1. (x + 7) (x + 8)

2. - (20x - 77)

3. 3 (2x +7)

4. 79x - 3  

5. 4 (24x -1)

6. (4x - 5) (2x + 5)

7. (x-4) (x + 9)

8. 2 (x + 4) (x + 6)

6.3 x 10 to the power of -8

Answers

Answer:  the  answer  is  6.3e-8

Step-by-step explanation:

Need help please i dont get it

Answers

Answer:

>

Step-by-step explanation:

-27/80 > -73/80

If you make a number line they are both in the negatives. If they are both in the negatives then whatever one is closer to 0 is greater.  

Answer:

>

Step-by-step explanation:

even tho 73 looks like a higher number when u add the negatives to the front whatever number looks like it is smaller is the higher number.

Pls help it's due soon pls dont waste my points i have so less :(

Answers

Answer:

Cheetah ran for 3 hours.

Antelope ran for 5 hours.

Lion ran for 6 hours.

Elephant ran for 10 hours.

The table and graph show the miles driven and gas used for two scooters
How many miles does scooter A get for one gallon of gas

Answers

Answer:

Scooter A gets 75 miles/gallon.

Step-by-step explanation:

150 / 2 = 75 miles/gallon

what is the answer to 6x+18+8x=180?

Answers

Answer:

=81/7

Step-by-step explanation:

Simplifying

6X + 18 + 8x + -2 = 180

Reorder the terms:

18 + -2 + 6X + 8x = 180

Combine like terms: 18 + -2 = 16

16 + 6X + 8x = 180

Solving

16 + 6X + 8x = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + 6X + -16 + 8x = 180 + -16

Reorder the terms:

16 + -16 + 6X + 8x = 180 + -16

Combine like terms: 16 + -16 = 0

0 + 6X + 8x = 180 + -16

6X + 8x = 180 + -16

Combine like terms: 180 + -16 = 164

6X + 8x = 164

Add '-8x' to each side of the equation.

6X + 8x + -8x = 164 + -8x

Combine like terms: 8x + -8x = 0

6X + 0 = 164 + -8x

6X = 164 + -8x

Divide each side by '6'.

X = 27.33333333 + -1.333333333x

Simplifying

X = 27.33333333 + -1.333333333x

help djeifjguikldcfhirdklfjrughenffufkfjeropf
me UmU

Answers

Answer:

the slope is 3

Step-by-step explanation:

its rise over run it goes up three and moves to the right one so 3/1=3

The slope is positive 3/1

Which expression is equivalent to
Square root of 80 ?

Answers

Answer:

4i√5

Step-by-step explanation:

What is equivalent to
4x+18xx-3-4x

Answers

Answer:

18x-3

Step-by-step explanation:

if the question is 4x+18x-3-4x,first callect like terms 4x+18x-4X-3 = 18x-3

Really need help emergency thanks if you help

Answers

Answer:D because you divide it bu a common factor

Step-by-step explanation:

It's D! 500/4 = 125
4/4 1

The school that Ted goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 7 adult tickets and 8 child tickets for a total of $168. The school took in $294 on the second day by selling 14 adult tickets and 13 child tickets. Find the price of an adult ticket AND the price of a child ticket.

Answers

Answer:

Adult= $24

child= $21

Step-by-step explanation:

first let's create an equation for each one.

Day 1: 7x+8y=168

day 2: 14x+13y=294

By doing so we can either graph and get the points for x,y or we can substitute each (x=0) (y=0) and solve manually.

x-int.= (24,0)

y-int.=(0,21)

8+x=x
what is x? i need help please. will mark brainliest!

Answers

Answer:

It has no solutions

Step-by-step explanation:

Rearrange the terms

[tex]8+x=x\\x + 8 =x[/tex]

Subtract 8 from both sides

[tex]x + 8 - 8=x-8[/tex]

Simplify

[tex]x = x-8[/tex]

Subtract x from both sides

[tex]x - x = x - 8 - x[/tex]

Simplify

[tex]0 = -8[/tex]

The input is a contradiction: it has no solutions

Find the slope? Work on how you got answer please

Answers

The slope is 2.

Reason: you find the slope by dividing the difference of the y-coordinates (5 and 9) by the difference of the x coordinates (1 and 3)
9-5=4
3-1=2
4 divided by 2 =2

i really need help plz help meeeeeeeeee

Answers

Answer:

10√2

Step-by-step explanation:

√200=√2*100=10√2

Ans.is 10√2

the topic is Surds in math

Damon is buying meat by the pound at the deli. For every 5 pounds of meat he buys, he pays $8. What is the cost, per pound, for the meat?

Answers

Answer:

$1.60 per pound

Step-by-step explanation:

please help me!! PLEASE!!

Answers

Answer:

it is d

Step-by-step explanation:

because the bottom would have to be on the input side a 4

D

hope it helps, i tried the best i could

Thats it none if my questions are being answered so I am going to give 30 points ​

Answers

Answer:

nonproportional

Step-by-step explanation:

The line does not pass through the origin (0,0)

Augustsky18; you there?????
I lost my other account.
NO ONE ELSE ANSWER THIS

Answers

Hey what happened? I was worried about you.

Kaelyn has some yarn that she wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. Kaelyn wants to make 333 times as many scarves as hats and use 555 kilograms of yarn. Let hhh be the number of hats Kaelyn makes and sss be the number of scarves she makes. Which system of equations represents this situation?

Answers

Answer:

s = 3h

0.1s + 0.2h = 5

h = 10

s = 30

Step-by-step explanation:

Given that :

Hat :

0.2kg of yarn

Let Number of hats = h

Kg of yarn used for hat = 0.2 * h = 0.2h

Scarf:

0.1 kg of yarn

Number of scarves (s) = s

Kg of yarn used for scarf = 0.1 * s = 0.1s

Total kg of yarn used = 5 kg

Number of Scarf = 3 times number of hats :

s = 3h - - (1)

0.1s + 0.2h = 5 - - (2)

From 1:

0.1(3h) + 0.2h = 5

0.3h + 0.2h = 5

0.5h = 5

h = 10

s = 3h

s = 3(10) = 30

Breanna made a scale drawing of her bedroom in order to arrange her
furniture. She used a scale of 1/2 inch = 1 foot. Her bed is 4 1/4 feet by 6
feet. What scale dimensions represent her bed?

Answers

Answer:

multiple both the numbers 2 times then add it together

Step-by-step explanation:

Solve for x:

−30=5(x+1)

Answers

the answer is x = -7 !
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