Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.

X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.

State the standard deviation of the distribution of the biology exam scores.

Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.

Students whose scores are at or above the percentile will receive an A.

Students whose scores are in the – percentiles will receive a B.

Students whose scores are in the – percentiles will receive a C.

Students whose scores are in the – percentiles will receive a D.

Students whose scores are below the percentile will receive an F.

Find the z-scores that correspond to the following percentiles.

percentile

percentile

percentile

percentile

Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)

A:     –

B:     –    

C:     –    

D:     –    

F:     

Answers

Answer 1

For inflection Points of

707886

The mean and standard deviation are is mathematically given as

x=78

sigma=8

What is Normal distribution?

Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.

Generally, the equation for the  mean is mathematically given as

x=total sum /amount

Therefore

x=70+78+80/3

x=78

In conclusion, Inflexion point for normal distribution is given as

[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]

Also

[tex]\mu-\sigma=70[/tex]

Therefore

[tex]78+\d\sigma=86[/tex]

sigma=8

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Related Questions

One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.

13^2 + b^2 = 17^2

169 + b^2 = 289

b^2 = 120

b = 11.0 cm

The length of the other leg of the triangle is 11.0 cm (rounded).

Hope this helps!

The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

[tex]a^2 + b^2 = c^2[/tex]

Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.

To find the lengths of a right triangle, we can use Pythagorean Theorem:

[tex]a^2 + b^2 = c^2[/tex],

where; a and b are the legs of the triangle and c is the hypotenuse.

[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]

b = 11.0 cm

Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

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Carly has five times as many markers as camden together they have 30 markers how many markers does carly have how many markers does camden have

Answers

Answer:

carly=25 camden=5

Step-by-step explanation:

carly:camden= 5:1

5+1=6

30/6=5

carly= 5x5=25

camden=5x1=5

Find a fraction that is bigger than ⅚, but smaller than 6/7. Show how you did it!!

Answers

Divide 5/6 and then divide 6/7 and then pick a fraction in between that range

Yo I need to bring up my grade bad so
-3x-9=-3y
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

Imma need some help here QwQ.

A farmer has a total of 7825 beet plants. He wants to plant 40 beet plants in each
row.
He does the following work in long division:

Answers

Answer:

A. The farmer plants 195 rows of beets and has 25 beet plants left over

Step-by-step explanation:

Answer: Choice A

The quotient 195 is the number of full rows the farmer can make. That takes up 195*40 = 7800 plants so far. Then there's an extra 25 left over because 7825-7800 = 25 that can't make up an extra full row.

Does the graph shows a proportional relationship

Answers

Answer:

no

Step-by-step explanation:

a proportional relationship when graphed always is a straight line that goes through the origin (0,0)

The graph shown, shows a straight line but the line doesn't go through the origin therefore the graph does not show a proportional relationship.

Note that the origin is where the x and y axis cross , or the bottom right corner of the graph in this case

Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?

Answers

Answer:

165.50

Step-by-step explanation:

yeah

Answer: 165.50

Step-by-step explanation: i had the same one and got it right

You have several boxes with the same dimensions. They have a combined volume of 4x4-21x²-46x + 219x + 180. Determine whether the binomial below could represent the number of boxes you have.

x+3

A) Yes; x+3 divides evenly. you get 4x^3-33x^2+53x+60
B)No; x-3 does not divide evenly. You get 4x^3-33x^2+53x+60 with a remainder of 12.
C)No; x+3 divides evenly. you get 4x^3-33x^2+53x+60

Answers

Answer:

The following are the choices for this problem:A. x+4 B. x+3 C. x-5 D. 4x+3

Factoring 4x^4-21x^3-46x^2+219x+180,  this will give us then the short answer of x+4.

The factor theorem states that if x-n is a factor of function f(x) = 4x^4-21^3-46^2+219x+180 then f(x) = 0.

So let us evaluate f(-4) which gives 4(256) - 21(-64) -46(16) +219(-4) + 180 = 936

Since the function f(-4) does not equate to zero, we could say that x+ 4 is not a factor.

So using x+3: f(-3) = 4(81) - 21(-27) -46(9) +219(-3) + 180 = 0, so x+3 is a factor.

Step-by-step explanation:

hope this helps if do mark brainllest

3.873... express in p/q form

Answers

387/100
p/q formula

The theorem states that each rational solution x = p⁄q, written in lowest terms so that p and q are relatively prime, satisfies: p is an integer factor of the constant term a0, and.

The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.

Answers

The statement that describes the association between a player's age, and the average points is: C. There is a positive linear association and one outlier.

Linear association and outlier

The scatter plot shows a positive linear relationship because the points shown on the scatter plot closely look like a straight line.

We able to identify only one outlier based on the regression line because their is a distance between the point and the regression line.

Therefore there is a positive linear association and one outlier.

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PLEASE HELP 20 POINTS!
which statement is true of this graphed function?
A. this function is an even function because it is symmetric about the Y axis
B. this function is an even function because it is symmetric about the origin
C. dysfunction is an odd function because it is symmetric about the origin
D. dysfunction is an odd function because it is symmetric about the Y axis

Answers

Answer:

OPTION C

Step-by-step explanation:

This function is odd function because it is symmetric about the origin

Note:This graph also represents the graph of tanx

I hope it helped you

Answer:

Step-by-step explanation:

a motorboat travels a distance of one pier to another pier in 4 hrs and the way back in 5 hrs. What is the speed of the boat in still water if it travels 70 km with the current in 3.5 hrs?

Answers

let's recall that d = rt, namely distance = rate * time.

d = distance from one pier to another

c = speed of the current

b = speed of the boat

now, let's notice something, on the way over the boat travelled "d" kilometers in 4 hrs, and back the same "d" kilometers in 5 hours.

when going with the current, the boat is not really going at "b" km/s, is really going faster, at "b + c" km/s, because the current is adding to it.

now, when going against the current, the boat is not really going "b" fast, is really going slower, at "b - c", because the current is subtracting from it.

from the above, we can conclude that the 4hrs trip was with the current, since it took less time, and the 5hrs trip was against the current, and we also know that the boat does 70 km with the current in 3.5 hrs, ok hmmm let's put all that in a table.

[tex]\begin{array}{lcccl} &\stackrel{km}{distance}&\stackrel{km/h}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{on the way over}&d&b+c&4\\ \textit{on the way back}&d&b-c&5\\\cline{1-4} \textit{we also know}&70&b+c&3.5 \end{array}~\hfill \begin{cases} d=(b+c)4\\\\ d = (b-c)5 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{(b+c)4~~ = ~~(b-c)5}\implies 4b+4c=5b-5c \\\\\\ 4c=b-5c\implies \boxed{9c=b} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{we know that}}{70~~ = ~~(b+c)3.5}\implies 70=(b+c)\cfrac{7}{2}\implies \stackrel{\textit{substituting "b"}}{70=(9c+c)\cfrac{7}{2}} \\\\\\ 70=10c\cdot \cfrac{7}{2}\implies 70=\cfrac{70c}{2}\implies 140=70c\implies \cfrac{140}{70}=c\implies \blacktriangleright 2=c \blacktriangleleft \\\\\\ \stackrel{\textit{the speed of the boat in still water is then}}{9c=b\implies 9(2)=b}\implies \blacktriangleright 18=b\blacktriangleleft[/tex]

Expression Expanded Evaluated[tex]-6^{5} \\(-2)^{3} \\-3^{4}\\(-1)^{5}[/tex]

Answers

"7 * 4

the * is times

Step-by-step explanation:

that's it in expanded form"

Expanding the expressions:

1)

(-6)⁵

(-6)(-6)(-6)(-6)(-6)

-7776

2)

(-2)³

(-2)(-2)(-2)

(4)(-2)

-8

3)

(-3)⁴

(-3)(-3)(-3)(-3)

(9)(9)

81

4)

(-1)⁵

(-1)(-1)(-1)(-1)(-1)

-1

2. The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next
several hours. Write an equation that represents the relationship between temperature and
time. Explain what information your numbers and variables represent.

Answers

Don’t even know to be honest

The answer is F(t)=30-5t

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next several hours.

let the time in hours be t and F(t) be the temperature after t hours then we have the following equation:

F(t)=30-5t

Hence, The answer is F(t)=30-5t

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Through a regular hexagonal prism whose base edge is 8 cm and whose height is 12 cm, a hole in the shape of a right prism, with its end being a rhombus with diagonals 6 cm and 8 cm is drilled . Find: the total surface area of the remaining solid. ​

Answers

The total surface area of the remaining solid is 48(4+root3) centimeters square.

We have given that,

Through a regular hexagonal prism whose base edge is 8 cm

Whose height is 12 cm, a hole in the shape of a right prism

What is the formula for the total surface area?

Total surface area=2(area of the base)+parameter of base×Height

Height=8cm

Parameter of base=12(2)=24

area of the base=6×root3/4×4^2

We use the given value in the formula

=2×6×root3/4×4^2+24×8

=48root3+192

=48(4+root3)cm^2

Therefore the total surface area of the remaining solid is 48(4+root3)cm^2.

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Which quantity is proportional to 40⁄8?
Check all that are true.

10⁄5

120⁄36

20⁄4

5⁄1

120⁄24

Answers

Answer:

Step-by-step explanation:

10/5: not part of the answer. This gives 2. The original ratio gives 5.

120 / 36 is not part of the answer. This gives 3 1/3 which is not 5

20/4 true This gives 55/1 true. This gives 5120/24 true. This gives 5

The last 3 are the only ones you should choose.

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

do u still need help?

Answer:

44 286 ft²

Step-by-step explanation:

4 686.144+3 600+36 000

=44 286.144

Solve the system of equations below. 4x+1=16 2x+30= - 2

Answers

Answer:

D. (5, 4)

Step-by-step explanation:

4x + y = 16       ----->     y = 16 - 4x

2x + 3y = -2

Substitute to find x

2x + 3(16 - 4x) = -2

2x + 48 - 12x = -2

-10x = -50

x = 5

Substitute to find y

4(5) + y = 16

20 + y = 16

y = 4

Final solution: (5, 4)

Hope this helps!

(1/2) (10)- (-12) -25

Answers

Answer:

-8

Step-by-step explanation:

Hey there!

(1/2)(10) - (-12) - 25

= 1/2(10) - (-12) - 25

= 5 - (-12) - 25

= 5 + 12 - 25

= 17 - 25

= -8


Therefore, your answer is: -8


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Help?? Thanks if you do​

Answers

Answer:

l = 6[tex]a^{4}[/tex] + 2a - 1

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width )

given A = 18[tex]a^{5}[/tex] + 6a² - 3a and w = 3a , then

3aw = 18[tex]a^{5}[/tex] + 6a² - 3a ( divide each term by 3a )

w = [tex]\frac{18a^{5} }{3a}[/tex] + [tex]\frac{6a^2}{3a}[/tex] - [tex]\frac{3a}{3a}[/tex] = 6[tex]a^{4}[/tex] + 2a - 1

 Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

c = √5

using pythagoras theorem:

a² + b² = c²2² + 1² = c²c² = 4 + 1c = √5

Answer:

2.236 or root 5

Step-by-step explanation:

The pythagorean theorem states that a^2+b^2=c^2.

To use it for this question, we know the lengths of both a and b. (It doesn't matter which is which). 2^2+1^2=4+1=5. Root five is about 2.236

timomthy began his math homework at 5:17 pm he finished at 5:49 how many minutes did he send on his math homework

Answers

Answer:

32 minutes

Step-by-step explanation:

49 - 17 = 32

Timothy spent 32 minutes on his math homework.

Answer: just count from 17 to 49 and then boom answer!!! that is if its still pm when he is done.

As the number of trials increases, the __________ probability will approach the __________ probability.

Answers

Answer:

Empirical probability

And

Theoretical

hope this helps! :)

heeeeeeeellllllllllllpppppppppppppp

Answers

I believe it’s 5/6 I hope you have a good day

4. The method of completing the square was used to solve the equation 2x^2 - 12x + 6 = 0. Which equation is a
correct step when using this method?
A. (x - 3)^2 = 6
B. (x - 3)^2 = -6
C. (x - 3)^2 = 3
D. (x - 3)^2 = -3



Pls help

Answers

Answer: B

Step-by-step explanation: I hope it helps if not your welcome to get a tutor

The requried correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

What is simplification?

Simplifying an expression involves eliminating unnecessary variables, components, or processes using algebraic and mathematical principles. The goal is to obtain an expression that is easier to use, manipulate, or solve.

Here,
To solve the quadratic equation 2x² - 12x + 6 = 0 using the method of completing the square, we can follow these steps:

Divide both sides by the coefficient of x^2 to make the coefficient of x² equal to 1:

x² - 6x + 3 = 0

Add and subtract the square of half the coefficient of x:

x² - 6x + 9 - 9 + 3 = 0

Factor the first three terms:

(x - 3)² - 6 = 0

Add 6 to both sides:

(x - 3)² = 6

Therefore, the correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

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Q. what is the volume?

answer choices

A. 72
B. 27
C. 1.5
D. 272

Answers

Answer:

[tex]\boxed{\sf{B.\quad 27}}[/tex]

Step-by-step explanation:

Use a volume formula.

Volume formula:

[tex]\Longrightarrow:\sf{V=L*W*H}[/tex]

Length: 3Width: 3Height: 3

Multiply.

[tex]\sf{3*3*3=\boxed{\sf{27}}[/tex]

Therefore, the volume is 27, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

B
if you count the number of the cube on the sides, it’s a 3 by 3 by 3. if you multiply 3x3x3, you get 27

please help I don't know the median

Answers

Answer:8

Step-by-step explanation:

least to greatest:6,8,8,9,9

crossout the ends:6,9 and 8,9

what is left in the middle:8

Answer:

6

Step-by-step explanation:

Median is the middle of the data set which is 6.

Fernando compró un videojuego y sabe que el valor depreciado de este es de $600 luego de 12

meses de su compra y de $480 al término de 18 meses. Si el valor del sistema varía linealmente

con el tiempo, determina:

a) La ecuación que expresa la relación del valor del videojuego con su tiempo de uso.

b) El valor del videojuego cuando era nuevo.

ayudenme profavor

Answers

Usando una ecuación lineal, se encuentra que:

a) La ecuación es y = -20x + 840.

b) El valor del videojuego cuando era nuevo era de $840.

¿Qué es una función lineal?

Una función lineal es modelada por:

y = mx + b

En el cual:

m es la pendiente, que es la tasa de cambio, es decir, cuánto cambia y cuando x cambia en 1.b es la intersección con y, que es el valor de y cuando x = 0, y también se puede interpretar como el valor inicial de la función.

En este problema, el valor depreció $120 en 6 meses, por lo tanto la pendiente es dada por:

m = -120/6 = -20.

O sea:

y = -20x + b

Al longo de 12 meses, el valor deprecio 12 x 20 = $240. Por lo tanto, el valor inicial es dado por:

b = 600 + 240 = $840.

Y la ecuación es dada por:

y = -20x + 840.

Puede-se aprender más a cerca de ecuaciónes lineales en https://brainly.com/question/24766917

The function P(x)=x^3−2x^2 is dilated by the function I(x)=P(4x).

Which function rule represents I(x)?

A.) I(x)=4x^3−8x^2
B.) I(x)=64x^3−32x^2
C.) I(x)=4x^3−2x^2
D.) I(x)=64x^3−2x^2

Answers

Answer:

Its C

Step-by-step explanation:

Why? because its C

It’s a if it’s not ask your teacher about your homework

Please help me with this math problem!! Will give brainliest!! :)

Answers

Answer:

See below

Step-by-step explanation:

From the graph :

y = -x         -inf < x <=0

y = x             0<= x <= 2

y = 3            x > 2

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