Mrs. Hudson plans to give a 10 question multiple choice exam in which each question has 4 options. Each question counts for 1 point. A score of 8 or more is a passing score while 7 or less is a failing score. The probabilities of guessing a certain number of questions correctly are listed in the table below.
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Compute the probability of answering 8 or more questions correctly by calculating the probability with a direct sum and by using complements.
How do the two approaches compare?

Answers

Answer 1

Answer:

0.0004158

0.00041581

Step-by-step explanation:

Given that :

Number of Questions Correct

Probability for Guessing Correctly

0

0.05631351

1

0.18771172

2

0.28156757

3

0.25028229

4

0.14599800

5

0.05839920

6

0.01622200

7

0.00308990

8

0.00038624

9

0.00002861

10

0.00000095

Probability of answering 8 or more questions correctly ;

Direct sum:

P(x ≥ 8) = p(8) + p(9) + p(10)

P(≥ 8) = 0.00038624 + 0.00002861 + 0.00000095

= 0.0004158

Complement :

P(x ≥ 8) = 1 - p(x ≤ 7)

1 - [p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)]

1 - [0.00308990 + 0.01622200 + 0.05839920 + 0.14599800 + 0.25028229 + 0.28156757 + 0.18771172 + 0.05631351]

1 - 0.99958419

= 0.00041581


Related Questions

Anyone know this one?

Answers

Answer:

120

Step-by-step explanation:

Maura runs 5 miles in 1.25 hours.How many miles could she run in 5 hours?

I NEED HELP!!

Answers

Answer:

15

Step-by-step explanation:

Name the coefficients in a +2a+3a-4a

Answers

Answer:

2,3,4

Step-by-step explanation: there next to veribuls

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.

Based on the graph, what is the initial value of the graph and what does it represent? (1 point)

a
3 miles per minute; it represents the speed of the bird

b
0.2 mile per minute; it represents the speed of the bird

c
0.2 mile; it represents the original distance of the bird from its nest

d
3 miles; it represents the original distance of the bird from its nest

Answers

Answer:

(d).

Step-by-step explanation:

The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest

Answer:

0.2 mile; it represents the original distance of the bird from its nest

Step-by-step explanation:

HELPPPP plzz!!

A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg

Answers

Oh wait I think I know the answer, c.

Answer:

C

Step-by-step explanation:

angle DAB = angle CBA

angle DBA = angle CAB

line AB = line AB

Since we know that the two angles and 1 side are the same on both triangle ADB and BCA, the property is angle side angle

Semisuma lungimii bazelor este formula de calcul pentru: *

Answers

Answer:

Can I Know Which Language Is This??

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x? X = StartFraction negative 1 plus-or-minus StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction negative 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction

Answers

Answer:

[tex]x=\dfrac{-(-1)\pm \sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}[/tex]

Step-by-step explanation:

The quadratic equation is as follows :

[tex]7x^2=9+x[/tex] ...(1)

The solution of a quadratic equation [tex]ax^2+bx+c=0[/tex] is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Equation (1) can also be written as follows :

[tex]7x^2-9-x=0\\\\7x^2-x-9=0[/tex]

Here, a = 7, b = -1 and c = -9

[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-(-1)+\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}, \dfrac{-(-1)-\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\\\\x=1.20\ s, -1.06\ s[/tex]

Neglecting negative value.

So, it will hit the ground in 1.2 s.

Answer:

D

Step-by-step explanation:

Edge 2021 hope this helps :)

Write the missing number and name the
property
(733X5)×2= 733 x 5

Answers

Answer:

the missing number is 2

Step-by-step explanation:

Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)

Right side is 733*5.  Rewriting the expression this way makes it obvious that the missing number is 2.

rewrite in simplest terms : -6u-2(-7u+10)

Answers

-6u-2(-7u+10) In simplest terms is 8u-20

How many 1/8-inch pieces of ribbon can be cut from a piece of ribbon that is 3/4 inch long? *

Answers

Answer:

the answer is 6

Step-by-step explanation:

Find what's 1/8 divided by 3/4 in fraction form?

step 1 Address formula, input parameters & values.

Input parameters & values:

1/8 and 3/4

Step 2: change the problem

Remember, always do KCF(Keep,Change,Flip)

First i keep 1/8

1/8 ÷ 3/4

Then I change the sign to multiplication because you need to need to find the answer and simplified it

1/8 x 3/4

Make sure u always flip the other fraction because you are multiplying

1/8 x 4/3

then you do the rest

Step 3:solve

1/8 x 4/3=4/24

Step 4: simplified

24/4=6

Now your answer is 6

Hope it helps :)

If the original quantity is 17 and the new quantity is 33, estimate the percent change.

Answers

Answer:

The estimate rounding to the nearest whole is 94%, the specific answer is 94.12%.

Step-by-step explanation:

calculator lol

Find the slope of the following graph and Identify the type of
Slope:

Answers

Answer:

undefined

Step-by-step explanation:

Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."

Steve went to the grocery store. The initial subtotal of his bill was $105.23. Steve then used 5
coupons of the same value. If his subtotal after coupons was $101.48, how much was each
coupon worth?

Answers

Answer:

105.23-101.48=3.75

3.75/5=0.75

Step-by-step explanation:

1. The Table shows ticket prices for a concert. Child Student Adult Cost Purchased in Advance $6 $12 $18 Cost Purchased at the door $8 $15 $22 a. What is the average student ticket price? b. What is the average for a ticket purchased at the door? c. would adding the rows provide any meaningful information?​

Answers

Answer : Its $15

Step-by-step explanation:

Because thats the average price for a student.

I know its correct!!!

Elena's father put $460 into a savings account for her. The account pays 2.5% simple interest each year. If he neither adds nor withdraws
money from the account, how much interest will the account earn after 4 years? Round to the nearest cent.

Answers

Answer:

$46

Step-by-step explanation:

Give that Elena's father put $460 into a savings account.

So, the principal amount, P= $ 460

Yearly simple interest , R= 2.5% = 0.025

Time, t = 4 years.

The interest, I, for the principal amount, P,  at the rate of R yearly, after t years,

[tex]I= P\times R \times t[/tex]

By using the given values, we have

[tex]I=460\times 0.025 \times 4 = 46[/tex]

Hence, the account will earn $46.

The average daily attendance at the Lincoln school was 348 students during the month of March. If the month has 21 school days what was the total attendance?

Define a variable, write an equation, then solve.

Answers

Answer:

7308

Step-by-step explanation:

348 times 21 = 7308

Sorry if this is wrong.

Solve: 2.3 = v + 0.47 v = _____

Answers

Answer:

2.3=v+0.47v=

We move all terms to the left:

2.3-(v+0.47v)=0

We add all the numbers together, and all the variables

-(+1.47v)+2.3=0

We get rid of parentheses

-1.47v+2.3=0

We move all terms containing v to the left, all other terms to the right

-1.47v=-2.3

v=-2.3/-1.47

v=1+0.83/1.47

Answer:

[tex]v = 1.564[/tex]

Step-by-step explanation:

[tex]1v + 0.47v = 2.3[/tex]

[tex] = > 1.47v = 2.3[/tex]

[tex] = > v = \frac{2.3}{1.47} = 1.564[/tex]

PLEASE HELP
Explain what is happening at this step in the solving equation process.
10 − 6 x = 4 + 5 x

7-6x=1+5x

3 ( 4 x − 3 ) = − 15

4x-3=5


5x/-3=12/1

5x=-36


−3 ( 4 x − 3 ) = − 15

4x-3=5

Answers

9514 1404 393

Answer:

3 was subtractedboth sides were divided by 3both sides were multiplied by -3both sides were divided by -3

Step-by-step explanation:

It looks like you have four different equations here.

As a rule, each step in the solution involves one of the properties of equality: addition, subtraction, multiplication, or division. These properties let you do the same thing (one of these operations) to both sides of the equation.

__

1. 10 − 6 x = 4 + 5x

  7 -6x = 1 +5x . . . . 3 was subtracted from both sides*

__

2. 3 ( 4 x − 3 ) = − 15

  4x -3 = -5 . . . . . both sides were divided by 3

__

3. 5x/-3=12/1

  5x=-36 . . . . both sides were multiplied by -3

__

4. −3 ( 4 x − 3 ) = − 15

  4x -3 = 5 . . . . both sides were divided by -3

_____

* For this equation it would have been more useful to subtract 4 to get ...

  6 -6x = 5x

If g (x) = 3x – 2, find g (8) – g(-5)

Answers

Answer:

I hope this helps you with your question

The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning​

Answers

Answer:

12+18x is the perimeter

Step-by-step explanation:

4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=

3(4+6x)=

12+18x

If c varies diráctly as (1 + 1) and c= 8, when r = 3, calculate the value ofr when c= 20.
(4marks)​

Answers

c = k(r + 1)

8 = k(3 + 1)

8 = 4k

8/4 = k

2 = k

c=2(r + 1)

When c = 20, then

20 = 2(r + 1)

20 = 2r + 2

20 - 2 = 2r

18 = 2r

18/2 = r

9 = r

Therefore, the value of r is 9 when c is 20.

A mountain climber is scaling 500-foot cliff. The graph shows the elevation of the climb over time. What is the slope?

Answers

Where’s the graph you didn’t put it

help please i need asap

Answers

Answer:

Yes, no, no, no, Yes

Step-by-step explanation:

This is collection of data made by comparing objects in standard units. In science, the units are metric.

Answers

Answer:

You didn't even write a question.

so its 1 am for me and I'm doing school work cause I over slept and fell 2 days behind is this anybody else

Answers

Answer:

me!

Step-by-step explanation:

ME ASFFFFD IM FAILING TWO CLASSES

87789-8977609-78860=

Answers

Answer:

-8968680

Step-by-step explanation:

If this is what your looking for if not sorryyyy

87789-8977609-78860 all you have to do is use a calculator(if you can) or do it the old school way. First, what I did was subtract the first two numbers 87789 and  8977609  to get -8889820 and then subtracted 78860 from that to get a total of -8968680.

Can u explain to me how to do this :)

Answers

Answer:

you have to multiple it

Answer:

x = 35      y = 82

Step-by-step explanation:

all triangles add up to 180

the tick mark shows that 2x = y - 12

2x + 2x + 40 = 180

4x + 40 = 180

4x = 140

x = 35

y - 12 + y - 12 + 40 = 180

2y - 24 + 40 = 180

2y + 16 = 180

2y = 164

y = 82

Check:

40 + 2(35) + (82 - 12) = 180

Solve this equation.
24 + 0.44x = 19 + 1.69x

Answers

Answer:

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 + 0.44x - 1.69x = 19

-1.25x = 19 - 24

-1.25x = -5

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 - 19 = 1.69x - 0.44x

5 = 1.25x

1.25x = 5

x = 5/1.25

= 4

What’s the combined average of Altuve’s weighted average below:

Friday 3 for 5, Saturday 2 for 4, and Sunday 1 for 3

Answers

Answer:

The combined average of Altuve's weighted averages is 1 for 2 or 1/2

Step-by-step explanation:

Combined Average

On Friday, Altuve had 3 out of 5 successes

On Saturday, Altuve had 2 out of 4 successes

On Friday, Altuve had 1 out of 3 successes

The total successes are 3+2+1=6

The total tries are 5+4+3=12

The combined average is:

[tex]\displaystyle \bar x=\frac{6}{12}[/tex]

Simplifying:

[tex]\displaystyle \bar x=\frac{1}{2}[/tex]

The combined average of Altuve's weighted averages is 1 for 2 or 1/2

If roots of a quadratic equation are real and equal, then which of the
following options is true?

Answers

Answer: where are the options??

Step-by-step explanation:

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