Problem PageQuestion A Web music store offers two versions of a popular song. The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.2 MB. Yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 4074 MB. How many downloads of the standard version were there?

Answers

Answer 1

Answer:

There were 210 downloads of the standard version.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of downloads of the standard version.

y is the number of downloads of the high-quality version.

The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.2 MB. The total size downloaded for the two versions was 4074 MB.

This means that:

[tex]2.6x + 4.2y = 4074[/tex]

Yesterday, the high-quality version was downloaded four times as often as the standard version.

This means that [tex]y = 4x[/tex]

How many downloads of the standard version were there?

This is x.

[tex]2.6x + 4.2y = 4074[/tex]

Since [tex]y = 4x[/tex]

[tex]2.6x + 4.2*4x = 4074[/tex]

[tex]19.4x = 4074[/tex]

[tex]x = \frac{4074}{19.4}[/tex]

[tex]x = 210[/tex]

There were 210 downloads of the standard version.


Related Questions

2x+3=-7 twenty Chanda long-standing look

Answers

Answer:

x =-5

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

One number is 4 plus one half of another number. Their sum is 31. Find the numbers.

Answers

Answer:

18, 13

Step-by-step explanation:

x=4+1/2y

x+y=31

4+1/y+y=31

3/2y=27

y=18

x=31-18=13

Answer:

13 & 18

Step-by-step explanation:

Create the formulas:

0.5x+4=y

x+y=31

0.5x+4=y

Multiply both sides by 2

x+8=2y

x+y=31

Subtract 31 from both sides

x+y-31=0

Subtract y from both sides

x-31= -y

Multiply both sides by -1

-x+31=y

Multiply both sides by 2

-2x+62=2y

Combine equations:

-2x+62=x+8

Add 2x to both sides

62=3x+8

Subtract 8 from both sides

3x=54

Divide both sides by 3

x=18

0.5x+4=y

Subtract y from both sides

0.5x-y+4=0

Subtract 0.5x from both sides

-y+4= -0.5x

Multiply both sides by -1

y-4=0.5x

Multiply both sides by 2

2y-8=x

x+y=31

Subtract y from both sides

x= -y+31

Combine equations:

2y-8= -y+31

Add y to both sides

3y-8=31

Add 8 to both sides

3y=39

Divide both sides by 3

y=13

Can someone plz help me solved this problem I need help ASAP plz help me! Will mark you as brainiest!

Answers

Answer:

x²- 5²

(x+5)(x-5)

Step-by-step explanation:

Area of shaded region: area of square with side x - area of square with side 5

A= x²- 5²

A= (x+5)(x-5)

You are at a playground with a see-saw and a large merry-go-round. You put your phone on the see-saw and find it slides when it is tilted at an angle of 38 degrees. How far can you put your phone from the center of the merry-go-round (in m) when it makes one rotation every 3 s

Answers

Answer:  r_max = 1.75m

Step-by-step explanation:

Below is a rather brief analysis to solving this problem.

The phone starts sliding when along incline,

when F_net = m g sin(theta) - fs_max = 0  

and fs_max = us N = us m g cos(theta)

m g sin(theta) - us m g cos(theta) =

us = tan(theta) = tan38 = 0.781  

On merry - go - round,

fs_max = us N = us m g

Using F = m a

fs_max = m w^2 r_max and w = 2pi / T

us m g = m (2 pi / T)^2 (r_max)

0.781 x 9.81 = (2 pi / 3)^2 (r_max)

r_max = 1.75 m

cheers i hope this helped !!

Please answer this correctly

Answers

Answer:

Opinion

Step-by-step explanation:

This is an opinion because it says "more exciting to visit than"

This implies the persons' own beliefs and is not a fact, because this is not true for everyone

what is 0.035 as a simplified reduced fraction

Answers

7/200 is the correct answer

Answer:

7/200

Step-by-step explanation:

0.035= 35/1000= 7*5/200*5=7/200

According to the Bureau of Labor Statistics, 7.1% of the labor force in Wenatchee, Washington was unemployed in February 2019. A random sample of 100 employable adults in Wenatchee, Washington was selected. Using the normal approximation to the binomial distribution, what is the probability that 6 or more people from this sample are unemployed

Answers

Answer:

73.24% probability that 6 or more people from this sample are unemployed

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 100, p = 0.071[/tex]

So

[tex]\mu = E(X) = np = 10*0.071 = 7.1[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.071*0.929} = 2.5682[/tex]

What is the probability that 6 or more people from this sample are unemployed

Using continuity correction, this is [tex]P(X \geq 6 - 0.5) = P(X \geq 5.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 5.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.5 - 7.1}{2.5682}[/tex]

[tex]Z = -0.62[/tex]

[tex]Z = -0.62[/tex] has a pvalue of 0.2676

1 - 0.2676 = 0.7324

73.24% probability that 6 or more people from this sample are unemployed

What is the equation of the line perpendicular to y = 2/3 x +1 that passes through the point (12, – 6)?

Answers

Answer:

y= -3/2x+12

Step-by-step explanation:

the slope of perpendicular lines multiplied together would be -1, so the slope of the perpendicular line is -3/2. y=-3/2x+b, so -6=-18+b, so b= 12. the equation of the line is y=-3/2x+12.

solve sqrt 3-5x= sqrt x+2 what is the value of x

Answers

Answer:

[tex]x=\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{3-5x}=\sqrt{x+2}\\Square\:both\:sides\\\left(\sqrt{3-5x}\right)^2=\left(\sqrt{x+2}\right)^2\\\mathrm{Expand\:}\left(\sqrt{3-5x}\right)^2:\quad 3-5x\\\mathrm{Expand\:}\left(\sqrt{x+2}\right)^2:\quad x+2\\3-5x=x+2\\\mathrm{Solve\:}\:3-5x=x+2:\quad x=\frac{1}{6}\\x=\frac{1}{6}\\\mathrm{Verify\:Solutions}:\quad x=\frac{1}{6}\space\mathrm{True}\\\mathrm{The\:solution\:is}\\x=\frac{1}{6}[/tex]

Answer:

A- 1/6

Step-by-step explanation:

GOT IT RIGHT ON EDGE

Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number
solutions does the equation have?
Discriminant = b2-4ac
0
1
2
o 12
Save and Exit
Next
Submit
Mark this and return
le​

Answers

Step-by-step explanation:

work is shown and pictured

The discriminant of quadratic equation is,

⇒ D = 0

What is Quadratic equation?

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:  ax² + bx + c = 0

We have to given that;

Quadratic equation is,

⇒ - 3 = x² + 4x + 1

Now, We can write as;

⇒ x² + 4x + 1 + 3 = 0

⇒ x² + 4x + 4 = 0

Hence, Discriminant of quadratic equation is,

⇒ D = b² - 4ac

⇒ D = (4)² - 4×1×4

⇒ D = 16 - 16

⇒ D = 0

Thus, The discriminant of quadratic equation is,

⇒ D = 0

Learn more about the quadratic equation visit:

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Please help me with this problem I am lost

Answers

Answer:

[tex]\frac{49}{15}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} \times \frac{7}{-6} \times -7[/tex]

[tex]\frac{2}{5} \times \frac{7}{-6} \times \frac{-7}{1}[/tex]

[tex]\frac{2 \times 7 \times -7}{5 \times -6 \times 1}[/tex]

[tex]\frac{-98}{-30}=\frac{98}{30}=\frac{49}{15}[/tex]

Answer:

-3.26 repeating

Step-by-step explanation:

2×7=14

5×(-6) = -30

14/30×(-7)= -3.26 repeating

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
60
25

Answers

Answer:

65

Step-by-step explanation:

C^2= A^2 + B^2

C^2 = (60)^2 + (25)^2

C^2 = 4225

Take the square root of C

C = 65

Answer:

65

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the hypotenuse.

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

I'm assuming that '60' and '25' are measures of the legs, since the question asks to find the hypotenuse.

[tex]60^2+25^2=c^2\\\rightarrow 60^2=3600\\\rightarrow 25^2 = 625\\3600+625=c^2\\4225=c^2\\\sqrt{4225}=\sqrt{c^2}\\\boxed{65=c}[/tex]

The hypotenuse should measure 65 units.

Given a quadratic function that has solutions at x=4 and x=6 which of the following is one of the linear factors of the function?
A.(x+4)
B.(x-6)
C.(x-2)
D.(x+6)

Answers

Answer: THE SOLUTION IS B

x=4  gives the linear factor x-4

x=6 gives the linear factor x-6

Step-by-step explanation:

Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear

Answers

Answer:

Plot the y-intercept at (0, 2). Plot your second point at (-1, -1).

Step-by-step explanation:

I attached an image of what the finished graph should look like when you press done. *rotate the image so the grey is on the bottom*

Tricia has a birthday party. During the party, she opened 36 gifts, which was 60% of all her gifts. After the party, she opened the rest of the gifts and found that 25% of them were the same present, so she returned all but one of the duplicate gifts. How many gifts did she return?

Answers

Answer:

She returned 5 gifts.

Step-by-step explanation:

36 gifts is 60% = 0.6 of all the gifts that she received. How many presents are 100% = 1?

36 gifts - 0.6

x gifts - 1

0.6x = 36

x = 36/0.6

x = 60

She received 60 gifts.

She opened the rest of the gifts and found that 25% of them were the same present

The rest is 60 - 36 = 24 gifts.

25% is (1/4)*24 = 6 duplicate figts

She returned all but one of the duplicate gifts.

That is, she returned 6 - 1 = 5 gifts.

find the area of this figure to the nearest hundredth use 3.14 to approximate pi A=? ft squared

Answers

Answer:

[tex]105.13ft^2[/tex]

Step-by-step explanation:

Rectangle

[tex]A=lw\\=10*8\\=80ft^2\\[/tex]

Semicircle

[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2}* \pi *4^2\\=25.13ft^2[/tex]

Add both values together

[tex]80+25.13\\=105.13ft^2[/tex]

Answer: 105.13

Step-by-step explanation:

Factorize (3x-2y)2 + 3(3x-2y)-10

Answers

Answer:

[tex]5(3x-2y-2)[/tex] i think. i am sorry if i am wrong

Step-by-step explanation:

Consider the following quadratic equation: 25x2=36 Using the standard form ax2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.

Answers

Answer:

  (5x -6)(5x +6) = 0

Step-by-step explanation:

Subtract 36 to put the equation in standard form. In this form, it looks like the difference of squares, so can be factored as such.

  25x^2 -36 = 0

  (5x)^2 -6^2 = 0

  (5x -6)(5x +6) = 0

(x-5)(x+1)=x-5 3(x+1) 3 For what values of x are the two expressions equal ?

Answers

Answer:

x=-77+5√ 231 x=-77-5√231

I got this answer for x and the both equations are equal

Maria has $39.00 that she can spend on school supplies. If she spends $18.00 on pens and pencils, how many packs of notebook paper can she buy if the notebook paper costs $3.00 a pack, including tax? Choose the graph that shows your answer.

Answers

Answer:

Please show the graph choice it sounds linear xy (positive)

or parallel depending on how much pens and pencils were.

We know $18 purchased more than 1 pack so this divided by notebook shws us at least 6 per notepack paper or so many packs of pen that cost $18 ffor pens were ratio to 1 pack of paper. ie) if pens were £2 pack then while we understand it could have been as many as 9 we divide by how many we find or bought by the amount of notepaper books to determine the rate and distribution of the money.    

Step-by-step explanation:

$39 - $18 = $21 left over

21/3 = 7 packs of note paper can be purchased..

If a⊕ b= 1/a + 1/b , for what decimal value of a is a⊕ 0.2=10?

Answers

Answer:

0.2

Step-by-step explanation:

1/0.2 = 5

10-5 = 5

1/a = 5

a = 1/5

a = 0.2

Answer:1/5 or 0.2

Step-by-step explanation:

1/a+1/0.2=10

1/a+1/2/10=10

1/a=10/2=10

1/a+5=10

1/a=10-5

1/a=5

a=1/5 or 0.2

The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula t=2dg−−√, where g is the constant acceleration due to gravity, 9.8msec2. How many meters does an object fall in 5 seconds? Round your answer to the nearest whole number.

Answers

Answer:

d = 61.25 m

Step-by-step explanation:

The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula :

[tex]t=2\sqrt{\dfrac{d}{g}}[/tex] .....(1)

It is required to find the distance covered by ab object in 5 seconds

Solving equation (1) for d. So,

[tex]d=\dfrac{t^2g}{4}[/tex]

Putting all the values we get :

[tex]d=\dfrac{(5)^2\times 9.8}{4}\\\\d=61.25\ m[/tex]

So, the distance covered by the object is 61.25 m.

The object will fall at a distance of 122.5 meters.

What is acceleration?

Acceleration is the rate of change of velocity with time, both in terms of speed and direction.

Given that, t = √(2d/g).

t = √(2d/g

t√(g/2) = √d

t²(g/2) = d

Or, d = t²(g/2)

Substitute g = 9.8 and t = 5:

d = 5²(9.8/2)

d = 122.5 meters

Hence, the object will fall at a distance of 122.5 meters.

Learn  more on acceleration here:

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Nathan spins 2 different spinners at the same time.There are a total of 10 possible outcomes.which pair of spinners did Nathan spin?

Answers

Answer:

The one divided into five part and the one divided into two parts

Step-by-step explanation:

find the option with one that has five parts and one with two parts :3

hope this helps!!

It is the graph with 5 numbers and 5 letters

I ready diagnostic

if log3(x+1) - log3x=2, then x = ?

Answers

Answer:

x= 1/8

Step-by-step explanation:

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x)
= 9x - 2. Which expression represents the profit, (k-h(x), of producing soccer balls?​

Answers

Answer:

4x - 8

Step-by-step explanation:

k - H(x)

(9x -2) - (5x + 6)

4x -8

Among 21- to 25-year-olds, 29% say they have driven while under the influence of alcohol. Suppose that three 21- to 25-year-olds are selected at random. a)What is the probability that all three have driven while under the influence of alcohol

Answers

Answer:

P(3) = 0.0244

P(3) = 2.44%

the probability that all three selected have driven while under the influence of alcohol is 2.44% or 0.0244

Step-by-step explanation:

Given;

The probability that they have driven while under the influence of alcohol is;

P = 29% = 0.29

the probability that all three selected have driven while under the influence of alcohol is;

P(3) = P × P × P

P(3) = 0.29 × 0.29 × 0.29

P(3) = 0.024389

P(3) = 0.0244

P(3) = 2.44%

the probability that all three selected have driven while under the influence of alcohol is 2.44% or 0.0244

Please help this is urgent!

Answers

Answer:

Isosceles

Obtuse

Step-by-step explanation:

1) When two sides of a triangle are the same length, the triangle is an isosceles triangle.

2) When one angle of the triangle is greater than 90 degrees, the triangle is an obtuse triangle.

I hope this helps! Have a great day!

Answer:

Isosceles, obtuse

Step-by-step explanation:

There are three types of triangles based on their sides:

Equilateral: a triangle with 3 equal sidesIsosceles: a triangle with 2 equal sidesScalene: a triangle with no equal sides

This triangle here as sides of 28 cm, 16 cm, and 16 cm

This triangle has two equal sides of 16 cm, indicating it is an isosceles triangle

There are three types of triangles based on their angles:

Acute: when all angles are less than 90° Right: when the triangle has one angle that is 90° Obtuse: when one of the angles is greater than 90°

This triangle has angles of 26°, 26°, and 128°

This triangle has one angle that is greater than 90° → 128°, indicating that this is an obtuse triangle

choose the most convenient method to graph the line y=−3

Answers

Answer:

the line just goes straight up the y-axis. so, place your dot at -3 and draw the line straight up

Step-by-step explanation:

The line is shifted downward by 3 units from the x-axis, and the slope of the line is zero. The intercept of the line is at (0, -3).

What is the graph of the function?

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line is given below.

y = –3

The line y = –3 is parallel to the x-axis.

The slope of the line is zero.

The line is shifted downward by 3 units from the x-axis.

The intercept of the line is at (0, -3).

The graph of the line y = –3 is given below.

More about the graph of the function link is given below.

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What is the value of the trig ratio cos x ? Help ASAP

Answers

Answer:

14/50 or 7/25

Step-by-step explanation:

cos x = adj/hyp

adj = 14

hyp = 50

---------

you ca learn more about trig

sin x = opp/hyp

tan x = opp/adj

The value of the trigonometric ratio, cos x in a right angle triangle XYZ is   [tex]\dfrac{14}{50}[/tex].

Trigonometric ratios – The relation between the angles and the sides of a right-angle triangle is called Trigonometric ratios.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given figure a right-angle triangle XYZ we know that

ZY is the length of the perpendicular. XY is the base of the triangle and  ZX is the hypotenuse.

By trigonometric ratio, we know that

[tex]Cos \Theta = \dfrac{adjacent}{hypotenuse}[/tex]

Where [tex]\Theta[/tex] is the acute angle between the base and the Hypotenuse

On substituting value,

[tex]Cos \Theta = \dfrac{14}{50}[/tex]

The value of the trigonometric ratio, cos x in a right angle triangle XYZ   [tex]\dfrac{14}{50}[/tex].

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A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each question. A student must get at least 25 correct to pass the test, and the questions are very difficult. Question 1. If a student guesses on every question, what is the probability the student will pass

Answers

Answer:

0.004% probability the student will pass

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 50, p = \frac{1}{4} = 0.25[/tex]

So

[tex]\mu = E(X) = np = 50*0.25 = 12.5[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.25*0.75} = 3.06[/tex]

If a student guesses on every question, what is the probability the student will pass

Using continuity correction, this is [tex]P(X \geq 25 - 0.5) = P(X \geq 24.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 24.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.5 - 12.5}{3.06}[/tex]

[tex]Z = 3.92[/tex]

[tex]Z = 3.92[/tex] has a pvalue of 0.99996

1 - 0.99996 = 0.00004

0.004% probability the student will pass

Other Questions
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data? Based on the objective you should feel comfortable calculating expected genotype frequencies when given observed allele frequencies. You should also be able to compare expected genotype frequencies from HWE to observed frequencies and determine if evolution is occurring.Here's a sample problem. You can do this without a calculator!Let's take the noob gene, a gene with two known alleles that determines feather color in the eastern lark. The two alleles, let's call them delta and gamma, can be sequenced. In fact, looking at a population in southern GA, you discover that 60% of the alleles in the population are the delta allele.1. What is the percentage of the gamma allele in the population?2. Even more interesting, based on HWE what is the expected frequency of the population that is homozygous gamma? 3. Now, after surveying an isolated population of eastern larks, you find that 20% of the population is homozygous gama (gamma gamma), 65% heterozygous (gamma delta) and 10% homozygous delta (delta delta) and 5% of the population is a previously undescribed genotype - zeta zeta (homozygous zeta). What can you conclude about evolution in the population and why? If evolution is occurring, which mechanism(s) would be responsible? assuming 100% efficient energy conversion how much water stored behind a 50 centimeter high hydroelectric dam would be required to charged the battery In narrative, characters are introduced and the setting is established through rising action resolution climax exposition Which of the following is the solution to |x-1|=8 Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100 + te2 C) A = 100e2t D) A = 100 + e2t Write an equation perpendicular to the line y = 3x + 5 through the point (6, -5). State your answer as y=mx+b. 75% of_____ = 300 Please help me You are running an experiment to study seed germination and accidentally left a dish of seeds covered with a little water in a totally dark room. When you return a few days later, you notice that the seeds have sprouted long roots and long shoots. What was the source of most of the matter that makes up these roots and shoots?A. oxygen in the airB. carbon dioxide in the airC. water in the dishD. glucose in the seed The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for . helpp me plzthank you in advance What do you think that artwork is about and why? Look at the SYMBOLS used in this painting to decode a message. e of Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE have mean 150 points and standard deviation 8.75 points. Assuming that these scores are (approximately) normally distributed, a. obtain and interpret the quartiles. b. find and interpret the 99th percentile. 220 meters = ________ centimeters 9x - 3y = -42 and -9x + 8y =22 The degree of a point in a triangulation is the number of edges incident to it. Give an example of a set of n points in the plane such that, no matter how the set is triangulated, there is always a point whose degree is n1. Which of the following viewed the atom as having a nucleus made up of protons and neutrons,with electrons orbiting the nucleus in fixed, stable orbits, much like the planets orbit the sun? What percentage of garbage can be burned as fuel?66 percent50 percent10 percent100 percent find the perimeter of diameter 3.5 cm why should we clean the environment