Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.51 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are no more than 2.07? Please do not round your answer.

Answers

Answer 1

Answer:

15.87%

Step-by-step explanation:

Given that :

Mean (m) = 2.51

Standard deviation (σ) = 0.44

Percentage of students with grade point average no more than 2.07

Using the relation :

Zscore = (X - mean) / standard deviation

X = 2.07

Zscore = (2.07 - 2.51) / 0.44

Zscore = - 0.44 / 0.44

Zscore =. - 1

P(Z < - 1) : using the z table

P(Z < 1) = 0.1587

Hence, Percentage of students with grade point average no more than 2.07 is (0.1587 * 100%) = 15.87%


Related Questions

PLS PLS PLS PLEASEEE HURRY UP

Answers

Answer:

Step-by-step explanation:

d

A composition of rigid
motions maps one figure to another figure is each intermediate image in the composition congruent to the original and final figures? Explain.

Answers

Answer:

Swaped

Step-by-step explanation:

Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions.

What types of motions create congruent figures?The two are said to be congruent if and only if one of two plane figures can be produced from the other by a series of rigid motions such as rotations, translations, and/or reflections.Because rigid motions preserve length and angle measurements, the corresponding parts of congruent figures are also congruent. As a result, if the corresponding parts of two figures are congruent, there is a rigid motion or a composite rigid motion that maps one figure onto the other.Every point in the plane can be moved in that direction using any method. a) The distance ratio between the two points remains constant. b) The relative positions of the points remain unchanged.

Hence, Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions. As a result, the original and final figures can be seen in agreement with each intermediate image.

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What is 5.336 rounded to the nearest tenth of an ounce?​

Answers

Answer:

5 because its a 3 so you cant round up so you round down.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped

HELP ME, PLEASE.

find x:
[tex](x-1)\sqrt{x^{2}-2x+4 }+(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]

Answers

Answer:

x=2

Step-by-step explanation:

Step-by-step explanation:

x=2to understand thisyou need to know about:equationgiven:

[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]

to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]

[tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]

[tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex]

[tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]

Please help Find sin and csc. ​

Answers

I did this I think the sin is 56

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for$15 each and balcony tickets for$12 each. They want to make at least $3,000 in ticket sales.

Write an inequality whose solutions are the number of floor and balcony tickets sold if they make at least $3,000 in ticket sales.

Answers

Answer:

15x + 12y ≥ 3000

Step-by-step explanation:

Let

Number of floor seats tickets sold = x

Number of balcony seats tickets sold = y

Cost of floor tickets = $15

Cost of balcony tickets = $12

They want to make at least $3,000 in ticket sales.

At least in inequality means ≥

The inequality that represent the situation is

15x + 12y ≥ 3000

Answer:

:)

Step-by-step explanation:

15x + 12y ≥ 3000

Number of floor seats tickets sold = x

Number of balcony seats tickets sold = y

Cost of floor tickets = $15

Cost of balcony tickets = $12

They want to make at least $3,000 in ticket sales.

At least in inequality means ≥

The inequality that represent the situation is  15x + 12y ≥ 3000

since i tried looking it up and it gave me a dum answer heres the real answer since i got it wrong lol
The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction a Over 2 h EndFraction minus b 2 equals b 1. – b2 = b1
StartFraction 2 a minus b 2 Over h EndFraction equals b. = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
StartFraction a Over 2 left-parenthesis b 1 plus b 1 right-parenthesis EndFraction equals h.= h

Answers

Answer:

the answer to your question is A and D i just got it right

Step-by-step explanation:

i hope this helps your welcome

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1

StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h

Answer:

A and D

Step-by-step explanation:

correct on edge

If a diameter of a circle has endpoints (-3, 5) and (5, 7), then the center of the circle is

Answers

The center of the circle is (1,6)

Answer:

The midpoint formula is ( (x1 + x2)/2, (y + y2)/2 ) The answer will be an ordered pair.

(-7 + 5)/2, (3 + 1)/2

(-2/2, 4/2)

(-1, 2)

The center of the circle is at (-1,2)

f(2) = ? pls helpppppp

Answers

Answer:

-2

Step-by-step explanation:

f(2): take the (2) from the f(2) because that's the x value.

you go to where it's 2 on the x-axis.

f(x)=f(2)

f(x)=y

so you are trying to find the y-axis number when you are at 2 on the x-axis.

whichhh is -2

Answer: the slope is 2

While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?

Answers

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

Length of the rope holding Kayla to the boat = 240 meters

Horizontal distance of Kayla from the boat = x = 181 meters

Let the distance of Kayla above the boat = y meters

Triangle formed is a right triangle. Therefore, by applying Pythagoras theorem in the given triangle,

x² + y² = (240)²

(181)² + y² = (240)²

y = [tex]\sqrt{57600-32761}[/tex]

  = [tex]\sqrt{24839}[/tex]

  = 157.6 meters

Therefore, vertical distance between Kayla and boat is 157.6 meters.

Option (4) will be the answer.

The area of this field is about 500,000 m2. What is the field's area to the nearest square meter? Assume that the side lengths of the square are exactly 800m.​

Answers

Answer:

502,655[tex]m{2}[/tex]

Step-by-step explanation:

field's area to the nearest square is 1,40,000 m².

What is the area of composite shapes?

The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.

Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.

Hence, the area of the square is 640,000 m².

Therefore the remaining area of the space is 1,40,000 m².

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What vocabulary term describes symbols that represent numbers whose quantity we don't know?

Answers

Answer:

variable

Step-by-step explanation:

PLZ ANSWER THIS QUICK! THANK YOU!

Answers

Answer:

a) 14:56

simplest form:- 14:56

=>2:8

=>1:4

b)Total necklaces that are sold each month:-240

No. of necklaces that were sold via the shop's website:-180

No. of necklaces that were sold in a high street shop:-(240-180)=>60.

Ratio:- 180:60

simplest ratio:- 3:1.

A ball is thrown upward from the top of a 192-foot-high building. The ball is 240 feet above ground level after 1 second, and it reaches ground level in 6 seconds. The height above ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.

Answers

Answer:

The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].

Step-by-step explanation:

From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:

[tex]h = a\cdot t^{2}+b\cdot t + c[/tex] (Eq. 1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]h[/tex] - Height of the ball, measured in feet.

[tex]a[/tex] - Second order coefficient, measured in feet per square second.

[tex]b[/tex] - First order coefficient, measured in feet per second.

[tex]c[/tex] - Zero order coefficient, measured in feet.

From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:

[tex]A(t, h)= (0\,s,192\,ft)[/tex]

[tex]c = 192\,ft[/tex] (Eq. 2)

[tex]B(t,h) = (1\,s,240\,ft)[/tex]

[tex]a+b+c = 240\,ft[/tex] (Eq. 3)

[tex]C(t,h) =(6\,s,0\,ft)[/tex]

[tex]36\cdot a + 6\cdot b + c = 0[/tex] (Eq. 4)

By Algebraic methods, we get this unique solution:

[tex]a = -16\,\frac{ft}{s^{2}}[/tex], [tex]b = 64\,\frac{ft}{s}[/tex], [tex]c = 192\,ft[/tex]

The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].

NEED HELP ASAP WILL GIVE BRAINLYEST What is the value of this expression? (−7)(−2)+(−15÷3) Enter your answer in the box.

Answers

Answer:

9

Step-by-step explanation:

MULTIPLE CHOICE Determine which statement follows
logically from statements (1) and (2).
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
angles measures 60.
A If a triangle is not equilateral, then it cannot have congruent angles.
B A figure with three congruent sides is always an equilateral triangle.
C If a triangle is not equilateral, then none of the angles equals 60.
D If a triangle is equilateral, then each of its angles measures 60.

Answers

I think it's D. If a triangle is equilateral, then each of it's angles measures 60

If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.

What is an equilateral triangle?

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.

The given statements are

(1) If a triangle is equilateral, then it has three congruent sides.

(2) If all the sides of a triangle are congruent, then each of its

Here, if a triangle is equilateral, then each of its angles measures 60°.

Therefore, option D is the correct answer.

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I need help with this question.

Answers

Answer:

its the 4th one

Step-by-step explanation:

x<-70

please help me out!!!

Answers

850 because if they are 0.004 gigs and you have 3.4 you just have to divide

what is the value of the power a if 5^a=1/125

Answers

See attachment for math work and answer.

U read 105 pages of a novel over 7 days.What is the mean number of pages you read each day.PLs answer this to get brainiest:)

Answers

Answer:

The mean is 15 pages a day.

Step-by-step explanation:

105/7=15

operaciones complejas raiz de -100​

Answers

Creo que 10i , si no es eso pues nose good luck hehe

Answer:

Step-by-step explanation:

10 i

es esto

Rosa bought a storage container in the shape of a cube to store clothes. The storage container has a volume of 950 cubic inches. What is the
length of one side of the storage container? Estimate the length to the nearest integer.
inches

Answers

Answer:

10 in

Step-by-step explanation:

The length, height and width of a cube are always equal. Therefore, the length of one side of the storage container can be any of the side length of the cube.

Volume of cube is given as a³. Where, a = length of one of the sides

Given that the storage container has a volume of 950 in³, side length of one side is:

[tex] 950 = a^3 [/tex]

[tex] \sqrt[3]{950} = \sqrt[3]{a^3} [/tex]

[tex] \sqrt[3]{950} = a [/tex]

[tex] 10 = a [/tex] (nearest integer)

Length of one side = 10 in

-16 > -f, if f = 15
True or falsehood

Answers

Answer:

false

Step-by-step explanation:

15 is a larger number than -16

Given g(x)=-x-1, find g(-4)

Answers

Answer:

g(-4)=3

Step-by-step explanation:

g(x)=-x-1

g(-4)=-(-4)-1

g(-4)=4-1

g(-4)=3

Answer:3

Step-by-step explanation:

What is the slope? Pls answer quickk

Answers

Answer:

4/5

Step-by-step explanation:

rise/run is the slope

4/5 rise of the line and run

The Wholesome Bakery baked 4 loaves of bread on Thursday, 12 loaves of bread on Friday, 36 loaves of bread on Saturday, 108 loaves of bread on Sunday, and 324 loaves of bread on Monday. If this pattern continues, how many loaves of bread will they bake on Tuesday?​

Answers

Answer:

once again, the pattern is multiply by 3

Answer:

972

Step-by-step explanation:

the pattern is multiplied by 3

8x0.3= pls help now 82 points

Answers

Answer:

2.4 8 times 3 is 24 so 8 times 0.3 is 2.4

Which expression is equivalent to 163?
O 27
O 211
o 212
o 264

Answers

Answer:

C

Step-by-step explanation:

For edge

The exponential equation is given by the expression A = 2¹²

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 16³   be equation (1)

Now , the value of 16 = 2⁴

So , from the laws of exponents , we get

( mᵃ )ᵇ = mᵃᵇ

And , 2⁴⁽³⁾ = 2⁴ˣ³

And , the value of A = 2⁴ˣ³ = 2¹²

Hence , the expression is A = 2¹²

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Please help! I'm in a hurry

Answers

Answer:

the answer is 62

Step-by-step explanation:

you take  180 and subtract 118

Answer:

The answer should be 62, but i'm not positive so correct me if i'm wrong!

Explanation:

What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)

Which triangle has 0 reflectional symmetries?

A triangle has all different side lengths and angle measures.
A triangle has all equal side lengths and angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.

Answers

Answer:

A

Step-by-step explanation:

A triangle has all different side lengths and angle measures have? 0 reflectional symmetries . Option A is correct.

Which triangle has 0 reflectional symmetries to determine.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°


For a triangle that has 0 reflectional symmetries implies the triangle must be of irregular shape. Every measure must not be identical. If any measure in the triangle is not the same means every side and angle has a different measure.  So it is impossible to find any axis of symmetry within the triangle

Thus,  a triangle has all different side lengths and angle measures have? 0 reflectional symmetries. Option A is correct.

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Calculate the UCL and LCL for a mean chart. Assume the standard deviation is unknown. Round to 1 decimal. Read the sentence from Barrio Boy by Ernesto Galarza.Jos then explained a remarkable thing about our money. Which sentence supports a negative connotation for the word remarkable?For one tostn you get one quarter.He had already exchanged some of our Mexican currency for dollars.Mexican centavos and tostones and pesos were good for nothing in the United States.On the table he laid out the coins, in rows of two for one. Can a person be a neurotic, schizophrenic, and psychopath? Why was the Ottoman Empire broken into numerous smaller countries at the end of World War I? Name 5 things needed to have an industrial Revolution? Give 3 examples of each of the 5 things needed to have an industrial revolution? The Human Abstractby William BlakePity would be no moreIf we did not make somebody poor,And Mercy no more could beIf all were as happy as we.And mutual fear brings Peace,Till the selfish loves increase;Then Cruelty knits a snare,And spreads his baits with care.He sits down with holy fears,And waters the ground with tears;Then Humility takes its rootUnderneath his foot.Soon spreads the dismal shadeOf Mystery over his head,And the caterpillar and flyFeed on the Mystery.And it bears the fruit of Deceit,Ruddy and sweet to eat,And the raven his nest has madeIn its thickest shade.The gods of the earth and seaSought through nature to find this tree,But their search was all in vain:There grows one in the human Brain.1) Read these lines from the poem.Then Cruelty knits a snare,And spreads his baits with care. The poets use of simple language a) keeps the poem simple in theme and messageb) exaggerates the mood of the poemc) creates a light contrast to the dark mood of the poemd ) reflects the poets light attitude toward human nature2) The author compares Crueltys actions to those of a doctorhunterbuilderteacher3) The meter in the poem can best be described as irregular throughout the poemthe same on the last line of every stanzapatterned, but changing partway through the poemstrong and patterned throughout the poem4) What meaning does the raven offer in the poem?It is a metaphor for life that lives in every tree.It builds a nest in the dismal tree that grows on the earth.It represents mans cruelty to animals as well as to man.It symbolizes darkness that lives perpetually in the human mind.5) What role do the virtues and vices play in the making of the tree?They symbolize the good in humans and how it works to fend off despair.They act as characters that feed off one another to create a world of despair.They represent light and goodness in dismal nature.They exaggerate the bad in the world and how despair can be inevitable.6)Which of the following statements best describes the structure of the poem?Free verse with no rhyme or meterQuatrains of four successive rhyming linesA regular pattern of rhyming coupletsUnrhymed lines with regular meter7) The poet creates stanzas that mostly contain a single idea in eachtell a series of storiesrepeat ideas for emphasisdo not connect with each other8) The poems message is about natures ability to take over all of mans best effortsthe dark side of natureCrueltys power to take from othersthe dark nature that can emerge from all mankindWho ever answer it I will give him 100 points and brainliest I swear. Just do it right please answer this question thanks in advance Which of these lines would be the steepest?1 pointy = 2x + 9y = 7x + 3y = 5x - 3y = 7 what is the value of x? Because there are so many people in the United States, each state is divided into smaller sections, called districts. Each district elects a representative to voice the peoples opinions in Congress. This is a more efficient way for people to voice their opinions.Which principle of government is reflected by the statement above?a federalismb republicanismc separation of powersd limited government A rocket is fired vertically upwards with initial velocity 92 m/s at the ground level. Its engines then fire and it is accelerated at 4m/s2 until it reaches an altitude of 1200 m. At that point the engines fail and the rocket goes into free-fall. Disregard air resistance. 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Assuming that the water does not splash as it comes to rest, calculate the reading on the scale at t = 5.0 s Select all polynomials that are divisible by (x-1)(x1)left parenthesis, x, minus, 1, right parenthesis. Choose all answers that apply: Choose all answers that apply: (Choice A) A A(x)=3x^3+2x^2-xA(x)=3x 3 +2x 2 xA, left parenthesis, x, right parenthesis, equals, 3, x, cubed, plus, 2, x, squared, minus, x (Choice B) B B(x)=5x^3-4x^2-xB(x)=5x 3 4x 2 xB, left parenthesis, x, right parenthesis, equals, 5, x, cubed, minus, 4, x, squared, minus, x (Choice C) C C(x)=2x^3-3x^2+2x-1C(x)=2x 3 3x 2 +2x1C, left parenthesis, x, right parenthesis, equals, 2, x, cubed, minus, 3, x, squared, plus, 2, x, minus, 1 (Choice D) D D(x)=x^3+2x^2+3x+2D(x)=x 3 +2x 2 +3x+2 what is the definition are body language used to accent or contradict a speaker's message.