It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. If you know that a student's grade is greater than 72, what is the probability that it is greater than 84? What do I know? What do I want to find out? What do we expect the answer to be? How do I go from what I know to what I want to find? Does this answer seem reasonable?

Answers

Answer 1

Answer:

0.7143

- You know the minimum possible grade of the student

- You want to find out the probability that that grade which is greater than 72 is also greater than 84

- Expect the answer to be 0.7143

- The explanation/steps is given below

- The answer seems (and is) reasonable. You only created a new lower limit.

Step-by-step explanation:

Distribution Type: Normal

Mean: 78

Standard deviation: 36

Range of marks: [78 - 36], [78 + 36]  = [42 to 114]

If you know that a student's grade is greater than 72, what is the probability that it's greater than 84?

In this case, the full probability level is between 72 and the upper limit of 114 (instead of between 42 and 114). First, find the fraction of this probability.

[114 - 72] ÷ [114 - 42]  = 42/72  = 0.5833

So, the probability of a student's mark falling between 72 and 114 is 0.5833.

Now making this a whole interval, 114 - 72 = 42

What fraction of this interval of 42 will bear marks between 84 and 114?

[114 - 84]  = 30

30/42  = 0.7143

Because of the first part of the question "If you know (are sure) that a student's grade is greater than 72...", your answer stops at 0.7143, since 72 was used as the lower limit.


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IF YOU ANSWER THIS YOU WILL HAVE BRAINLIEST AND FRIEND REQUEST

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Answer:

Uhm answer what? there is no picture nor question.

Step-by-step explanation:

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do u play among us

This is for the roller coaster design packet, I need the graph, I’ll give Brainliest and give a handsome amount of 100 points

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Answer:

i am going to work it out

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Can someone help me??

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Answer:

24 i think if im wrong im sorry :(

Step-by-step explanation:

The entrance for the amusement park is $40, visitors purchase additional $2
tickets for rides, games and food. How many tickets can you buy if you
brought $100 to spend at the park?

Answers

Answer:

2 tickets because round

Step-by-step explanation:

make an equation: 100=40x+2 and solve

2.45 tickets so only two

40+40 =80

100-80=20

but 100-2=98 so there is only 18$ left so not enough for another ticket

Answer:

30 Tickets

Step-by-step explanation:

In the question, it said that $40 is the entrance fee. Then, it said that visitors purchase additional tickets for rides, games, and food. This means that EACH ticket is 2 dollars.

Hence, $40 (entrance fee) + $2 (each ticket price) x (the number of tickets spent) = 100 (total amount of money).

So, the equation should be 40 + 2x = 100, which means x = 30.

100 - 40 = 60

60/2 = 30

30 tickets can be purchased

which of the following are properties of all rectangles? Select all that apply.​

Answers

Answer:

see explanation

Step-by-step explanation:

The rectangle has the following properties

• Opposite sides are parallel and congruent

• All angles are right angles

• The diagonals are congruent

• The diagonals bisect each other

Thus

They are quadrilaterals

Opposite sides are equal in length

All angles are 90°

Opposite sides are parallel

Rectangles are not parallelograms ( the angles of a parallelogram are not necessarily right and diagonals are not congruent )

There are 31 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?

Answers

Answer:

7.75

Step-by-step explanation:

The total number of ways could the guests be arranged on a four person couch is 31465.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that there are 31 guests at your home for a dinner party.

The total number of ways could the guests be arranged on a four person couch is -

C{31, 4} = 31!/{(31 - 4)!4!}

C{31, 4} = (31 x 30 x 29 x 28 x 27!/27! x 4!) = (31 x 30 x 29 x 28)/24 = 31465

C{31, 4} = 31465

Therefore, the total number of ways could the guests be arranged on a four person couch is 31465.

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How long would 8 thousand trillion trillion trillion trillion trillion trillion trillion trillion years be if typed out?

Answers

Answer:

100 digits

Step-by-step explanation:

One trillion is 10¹², so it adds 12 zeros.

8000 adds 4 digits.

8 trillions add 8·12 = 96 zeros.

So in total you have 96+4 = 100 digits

This number would also be called 8 googol, since 1 googol is 10¹⁰⁰

Mrs. jones bought 25 mangoes for $7.50. she sold 12 mangoes for 60 cents each and the remaining for 55 cents each. a. state whether she made a profit or loss b. calculate the profit loss c. calculate the percentage profit or loss

Answers

Answer:

when u search it one by one

help me asap please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D. should be the answer

Ha, Asa and Aas are correct because there is only one known side, and two known angles, making these postulates correct.

44% x 205???????????????????????????????

Answers

Answer: 90.2

Step-by-step explanation:

1 point
6. Precipitation for the month of March was 4 inches less than average. In
April the precipitation was 14 inches less than average. How many inches
below average was the precipitation for both March and April?

Answers

Answer:

4 inches because March was 4 so april has to be 4 too

Step-by-step explanation:

Point E is located at (-5,2). Point M is the reflection of point E across the y-axis. What is the distance between E and M?

Answers

Answer:

The distance is Ten

Please help me with this

Answers

Answer is C, 138°

It's the answer that makes the most sense.

Which of these numbers is greater than 2.25 but less than 1? Is it 1 or 1.5 or 0 or 2.5....

I think the answer is 1.5 but can someone tell me how I came up with this answer. He has to write it down.

Answers

Answer:

the answer is 1.5 of course because converting them into their fractional form indeed informs u that 1.5 is the solely answer

write the slope intercept ​

Answers

Answer:

b = 4,

m = 4/3,

y = 4x/3 + 4

Step-by-step explanation:

We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:

[tex]y = mx+b[/tex]

We can substitute the points we know:

→ (0,4):

[tex]y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}[/tex]

→ (-3,0):

[tex]y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}[/tex]

So, the line equation in form requested is:

[tex]\boxed{y=\dfrac{4}{3}x+4}[/tex]

At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60. Which option has the lesser price?

Answers

Answer:

The 8-pack is better value

Step-by-step explanation:

$7.50/6 = $1.25 per ball

$9.60/8 = $1.20 per ball

The 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.

For:

At a toy store, Colton can buy a package of 6 mini footballs for $7.50

Each ball price

$7.50/6 = $1.25 per ball

Each ball price

$9.60/8 = $1.20 per ball

The 8-pack is a better value

Thus, the 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.

Learn more about the fraction here:

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Tall Mountain is 8,678.37 feet higher than Mt. Might. What is the elevation of Tall Mountain?
The elevation of Tall Mountain is
feet.

Answers

Answer:

i wont give u a direct answer but i will tell u this.. Look up Mt. Mights height  and subtract 8,678.37 with a cauculator. The answer will tell you

Answer: 28,979.87

Step by step explanation: I GOT THE ANSWER CORRECT!!!!!! For any one wondering I am doing this question right no and what the other guy said about subtracting is wrong because i tried doing tat and it said it was wrong.

The graph shows y as a function of x:
y
B
А
D
In which segment is the function increasing?

Answers

Answer:

The correct answer (B)

I Need Helpp PLZZ i will mark as brainliest

Answers

Answer:

9x+18

Reasoning:

You multiply x by 9 and 2 by 9 and it expands out from 9(x+2) to 9x+18

I hope this helps and good luck!

Answer:

9x + 18

Step-by-step explanation:

9 times x = 9x

9 x 2 = 18

For the following quadratic equation, find the discriminant.
5x^2– 10x – 255 = 0
please help meee

Answers

Answer:

5200

Step-by-step explanation:

STEP 1: The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

[tex]b^2-4(ac)[/tex]

STEP 2: Substitute in the values of a, b, and c.

[tex](-10)^2-4(5)(-255)[/tex]

STEP 3: Evaluate the result to find the discriminant.

[tex]5200[/tex]

pls help 19 points !!

Answers

Answer:

(3,-2), (-3,-7), 2nd one is x2,y2

Step-by-step explanation:

Please help, this chapter was on derivatives...

Answers

(3) Differentiating both sides of

[tex]2x^{3/2} + y^{3/2} = 29[/tex]

with respect to x gives

[tex]3x^{1/2} + \dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for dy/dx :

[tex]\dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = -3x^{1/2} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{-3x^{1/2}}{\frac32y^{1/2}} = \dfrac{-2x^{1/2}}{y^{1/2}} = -2\sqrt{\dfrac xy}[/tex]

Then the slope of the tangent line to the curve at (1, 9) is

[tex]\dfrac{\mathrm dy}{\mathrm dx} = -2\sqrt{\dfrac19} = -\dfrac23[/tex]

The equation of the tangent line would then be

y - 9 = -2/3 (x - 1)   ==>   y = -2/3 x + 29/3

(4) The slope of the tangent line to

[tex]y=\dfrac{ax+1}{x-2}[/tex]

at a point (x, y) on the curve is

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{a(x-2)-(ax+1)}{(x-2)^2} = -\dfrac{2a+1}{(x-2)^2}[/tex]

When x = -1, we have a slope of 2/3, so

-(2a + 1)/(-1 - 2)² = 2/3

Solve for a :

-(2a + 1)/9 = 2/3

2a + 1 = -18/3 = -6

2a = -7

a = -7/2

Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.

Answers

Answer: 306 inches or 25.5 feet or 8.5 yards.

Step-by-step explanation:

Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.

1 feet = 12 inches

length of ribbon Tino has = 12 x 7.5 = 90 inches

1 yard = 36 inches

length of ribbon Baxter has = 3.5 x 36 = 126 inches

Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)

= (90+90+126) inches

= 306 inches

In feet , Total ribbon = [tex]\dfrac{306}{12}\text{ feet}[/tex]   [tex][\text{ 1 inch}=\dfrac{1}{12}\text{ feet}][/tex]

[tex]=\text{25.5 feet}[/tex]

In yards, Total ribbon =[tex]\dfrac{25.5}{3}\text{ yards}[/tex]    [tex][\text{1 feet}=\dfrac{1}{3}\text{ yard}][/tex]

[tex]=\text{ 8.5 yards}[/tex]

Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.

To visit his grandmother, Michael takes a motorcycle 3.85 kilometers and a horse 3.32 kilometers. In total, the
journey takes 50.54 minutes.
How many kilometers is Michael's journey in total?

Answers

Answer:

7.17

Step-by-step explanation:

sorry for the first answer

7.17 kilometres is Michael's journey in total.

Given that, the number of kilometres Michael travelled on motorcycle =3.85 kilometres and on a horse 3.32=kilometers.

How to find the total distance travelled?

Total distance means the actual distance between the places from which the material is transported to the destination place.

The total distance travelled is the path taken by a body to get from an initial point to an endpoint in a given period of time.

Now, total distance travelled=3.85+3.32=7.17 kilometres.

Therefore, the distance travelled is 7.17 kilometres.

To learn more about distance visit:

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simplify the following boolean expression (A+B) (A+B)​

Answers

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[tex](A + B)(A + B) = [/tex]

[tex] {A}^{2} + 2AB + {B}^{2} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

PLEASE HELP WILL GIVE BRAINLIST

Answers

Answer:

greater than or equal to

Step-by-step explanation:

Given: BD is perpendicular to AC, measure DBA = 7x+6. Find x

Answers

Answer:

x = 12

Step-by-step explanation:

[tex] \because BD \perp AC... (given) \\\\

\therefore m\angle DBA =90\degree... (1)\\\\

\because m\angle DBA=(7x + 6)\degree... (2)\\[/tex]

From equations (1) & (2)

[tex](7x + 6)\degree= 90\degree \\\\

7x + 6 =90\\\\

7x = 90 - 6\\\\

7x = 84\\\\

x = \frac{84}{7}\\\\

\huge \orange {\boxed {x = 12}} [/tex]

Kim received a discount of $8.60 when she purchased an item for $20. What was the percent of the discount?

Answers

Hi there!

The percentage of the discount is 43%

To find this answer you have to butterfly multiply, in other words, you have 8.60 over 20 (20 representing the 100% of the total amount and 8.60 being the amount of the discount that has to be found). With the two over each other in a fraction form, you multiply the numerator by the 100. Then you divide that product by the denominator. In this case it would be 8.60 x 100 divided by 20. Equaling 43.

Hope this helps!

An auto mechanic earns $498.75 in 35 hours during the week. His pay is 2.50 more per hour on the weekends. If he works 6 hours on the weekend in addition to 35 hours during the week,hiw much does he earn

Answers

Answer:

Total pay= $599.25

Step-by-step explanation:

First, we need to calculate the unitary pay per hour:

Unitary pay= 498.75/35

Unitary pay= $14.25

Now, we can determine the total earn of 35 regular hours and 6 weekend hours:

Total pay= 498.75 + (14.25 + 2.5)*6

Total pay= 498.75 + 100.5

Total pay= $599.25

A random sample of 2,500 people was selected, and the people were asked to give their favorite season. Their responses, along with their age group, are summarized in the two-way table below.

Among those whose favorite season is spring, what proportion are adults?
1.)250/1000
2.)250/2500
3.)475/2500
4.)250/475
5.)225/475

Answers

Answer:

250/475

Step-by-step explanation:

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