Determine whether the given value is a statistic or a parameter. A sample of employees is selected and it is found that 55 % own a vehicle. Choose the correct statement below. a. Parameter because the value is a numerical measurement describing a characteristic of a sample. b. Statistic because the value is a numerical measurement describing a characteristic of a sample. c. Statistic because the value is a numerical measurement describing a characteristic of a population. d. Parameter because the value is a numerical measurement describing a characteristic of a population.

Answer:

3000 g & 4000 g

Step-by-step explanation:

Edge 2021

According to the empirical rule, 68% of all newborn babies in the United States weigh between 3000 g and 4000 g.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here, mean of distribution of X is [tex]\mu[/tex]  and standard deviation from mean of distribution of X is [tex]\sigma[/tex]

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of

[tex]\mu = 3,500\rm \;g[/tex]

The standard deviation of the babies is,

[tex]\sigma = 500 g[/tex]

Put the value in the empirical formula for 68% as,

[tex]P(3500-500 < X < 3500+ 500) = 68\%\\P(3000 < X < 4000) = 68\%[/tex]

Hence, according to the empirical rule, 68% of all newborn babies in the United States weigh between 3000 g and 4000 g.

Learn more about empirical rule here:

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Answer:

  (-2, -2)

Step-by-step explanation:

Compare the two functions ...

  f(x) = -|x +2| -2

  f(x) = a·g(x -h) +k

where f(x) is a translation and scaling of function g(x). Here, you have ...

  g(x) = |x|

The scale factor is a = -1.

The horizontal shift is h = -2.

The vertical shift is k = -2.

_____

The original vertex at (0, 0) has been shifted by (h, k) to ...

  (0, 0) + (h, k) = (0, 0) + (-2, -2) = (-2, -2).

Answer:

(-2,-2)

Step-by-step explanation:

I took a test and got it right

Answer: 70% chance of winning

Step-by-step explanation: What is your question? Are you trying to ask the probability of winning? (I will assume this and answer)

The whole case of selecting to numbers : 5C2 = 5 X 4 / 2 = 10

the cases of getting a odd sum : select 1 odd number and 1 even number

=> select 1 odd number : 7 or 9 => 2 cases

=> select 1 even number: 4,6,8 => 3 cases

you multiply 2 and 3 and divide it by 2 because order doesn't matter

so the answer is 1 - (3/10) = 0.7  

The player in the game has an equal chance of winning or losing.

In this problem, we are given a box containing five slips of paper, each with a number written on it. The first player draws two slips and adds the two numbers together. To determine if the player wins or loses, we need to determine if the sum of the two numbers is even or odd.

To solve this problem, we can list all the possible pairs of numbers and find out if the sum of each pair is even or odd. If the sum is even, the player wins; if the sum is odd, the player loses. We can do this by considering the possible outcomes:

From the listed outcomes, we can see that there are 5 even sums and 5 odd sums.

Therefore, the player has an equal chance of winning or losing in this game.

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Answer:

a_{n}=20+4(n-1)

Step-by-step explanation:

It is given that the number of corn stalks in rows of the field can be modeled by an arithmetic sequence.

The 5th row has 36 corn stalks. This means 5th term of the sequence is 36. i.e.

[tex]a_{5}=36[/tex]

The 12th row has 64 stalks. So,

[tex]a_{12}=64[/tex]

In order to write the explicit rule we need to find the first term(a1) and common difference(d) of the sequence.

The explicit rule for the arithmetic sequence is of the form:

[tex]a_{n}=a_{1}+(n-1)d[/tex]

Writing the 5th and 12th term in this way, we get:

[tex]a_{5}=a_{1}+4d[/tex]

[tex]a_{1}+4d=36[/tex]                                                     Equation 1

Similarly for 12th term, we can write:

[tex]a_{1}+11d=64[/tex]                                                     Equation 2

Subtracting Equation 1 from Equation 2, we get:

7d = 28

d = 4

Using the value of d in Equation 1, we get:

[tex]a_{1}+4(4)=36\\\\ a_{1}=20[/tex]

Thus, for the given sequence first term is 20 and common difference is 4. Using these values in the general explicit rule, we get:

[tex]a_{n}=20+4(n-1)[/tex]

Answer:

Exact Form:

11/  5

Decimal Form:

2.2

Mixed Number Form:

2  1/ 5

Step-by-step explanation:

For the decimal, divide 11 by 5.

To get the Mixed number form, find out how many times 5 goes into 11, then then what is left over. Put the number left over the number that was dividing. 5 goes into 11 2 times, then 1 is left over, put the 1 over 5.

Answer:

  84%

Step-by-step explanation:

The empirical rule tells you that 68% of the standard normal distribution is within 1 standard deviation of the mean. The distribution is symmetrical, so the amount in the lower tail is (1 -68%)/2 = 16%.

Since the number you're interested in, 240, is one standard deviation above the mean (200 +40), the percentage of interest is the sum of the area of the central part of the distribution along with the lower tail:

  68% + 16% = 84%.

Answer:

  center: (2, -4); radius: 5

Step-by-step explanation:

Group x-terms and y-terms. Add the squares of half the coefficient of the linear term in each group. It can be convenient to subtract the constant, too.

  (x^2 -4x) +(y^2 +8y) = 5

  (x^2 -4x +4) +(y^2 +8x +16) = 5 + 4 + 16

  (x -2)^2 +(y +4)^2 = 5^2

Comparing this to the form of a circle centered at (h, k) with radius r, we can find the center and radius.

  (x -h)^2 +(y -k)^2 = r^2

  (h, k) = (2, -4) . . . . . the circle center

  r = 5 . . . . . . . . . . . . the radius

Answer:

see below

Step-by-step explanation:

z = 9 + 3i

This is in the form a+bi   where a is the real part and b is the imaginary part

1.The real part is 9

2. The imaginary part is 3

The complex conjugate is a-bi

3. complex conjugate 9-3i

4. 3i - z = 3i - (9+3i) = 3i -9 - 3i = -9

5. z-9 = 9+3i - 9 = 3i

6.  9-z = 9- (9+3i) = 9-9-3i = -3i

Answer:

4.97485 (approximately)

Step-by-step explanation:

You have the information SAS given.

This is a case for law of cosines.

[tex]b^2=a^2+c^2-2ac*cos(B)[/tex]

[tex]b^2=12^2+10^2-2(12)(10)*cos(24)[/tex]

[tex]b^2=144+100-240cos(24)[/tex]

[tex]b^2=244-240cos(24)[/tex]

Take the square root

[tex]b=\sqrt{244-240cos(24)}[/tex]

I was saving rounding to the end that is why I didn't put 240*cos(24) in my calculator.

So now I'm going to put sqrt(244-240*cos(24)) in my calculator. Make sure your calculator says deg (for degrees).

4.97485 (approximately)

Answer:

10 in

Step-by-step explanation:

So we want to consider the surface area of this sphere.

The formula for surface area of a sphere is [tex]A=4 \pi r^2[/tex].

So we have that the surface area is [tex]100 \pi[/tex].

So I'm going to replace [tex]A[/tex] in [tex]A=4 \pi r^2[/tex] with  [tex]100 \pi[/tex].

[tex]100\pi=4\pi r^2[/tex]

Now our main objective here is to solve for [tex]r[/tex]:

Divide both sides by [tex]4 \pi[/tex]:

[tex]\frac{100\pi}{4 \pi}=\frac{4\pi r^2}{4 \pi}[/tex]

This gets us [tex]r^2[/tex] by itself:

[tex]25=r^2[/tex]

What number squared gives you 25? If you don't know, just take the square root of both sides giving you:

[tex]\sqrt{25}=r[/tex]

Now you can just put [tex]\sqrt{25}[/tex] in your calculator.  You should get 5.

5 is the radius

The diameter is twice the radius.

So 2(5) is 10, so the diameter is 10 in.

Answer:

C) 10.0 in.

Step-by-step explanation:

If Hasan is painting a spherical model of a human cell for his science class and uses 100π square inches of paint (in one coat) to evenly cover the outside of the cell, the diameter of Hasan’s cell model is 10.0 inches.

Radius = 5

Diameter = Radius x 2

Therefore 5 x 2 = 10

The diameter is 10 in.

Answer:

  A.  Y = -6X + 9

Step-by-step explanation:

Solving for y, we can find the slope of the given line. It is the coefficient of x, 1/6.

  -12y = -2x -1

  y = 1/6x +1/12

The perpendicular line will have a slope that is the negative reciprocal of this:

  m = -1/(1/6) = -6

The y-intercept will be the y-value corresponding to x=0. That value is b=9, given to us by the point the line is to go through. So, we have the slope-intercept form ...

  y = mx + b

  y = -6x + 9

Answer:

Option B  7sqrt2

Step-by-step explanation:

I assume that in the right triangle y and 7 are the legs and x is the hypotenuse

so

we know that

In the right triangle

cos(45)=7/x ----> the cosine of angle of 45 degrees is equal to divide the adjacent side to angle of 45 degrees by the hypotenuse

In this problem y=7 because is a 45-90-45 triangle

Remember that

cos(45)=√2/2

equate the equations

√2/2=7/x

x=14/√2

x=14/√2*(√2/√2)=14√2/2=7√2 units

Answer:

The given statement is true.

Step-by-step explanation:

Quadrilaterals are similar if their corresponding sides are proportional.

This statement is true.

Quadrilaterals are similar when

a) corresponding angles are equal

b) the corresponding sides are proportional i,e the ratios of corresponding sides are equal

So, the given statement is true.

Answer:

  FALSE

Step-by-step explanation:

Corresponding angles must also be congruent for the figures to be similar. Proportional sides is not a sufficient condition.

Answer:

-1

Step-by-step explanation:

They already did the opposite reciprocal for you.

They have it in the form [tex]y=\frac{1}{4}x+b[/tex] now.

To find b you just enter (x,y)=(8,1).

Let's do that.

[tex]1=\frac{1}{4}(8)+b[/tex]

[tex]1=2+b[/tex]

Subtract 2 on both sides:

[tex]-1=b[/tex]

b=-1

Hey there! :)

Perp. to y = -4x + 3 ; intersects (8, 1)

Slope-intercept form is : y=mx+b where m = slope, b = y-intercept

So, our slope of the given equation is -4. However, our new slope is 1/4 because it is the negative reciprocal of -4. We have to use the negative reciprocal because our new line is perpendicular to our given one.

Now, using (8, 1) and our new slope (1/4), simply plug everything in to the point-slope form.

Point-slope : y-y1 = m(x - x1)

y - 1 = 1/4(x - 8)

Simplify.

y - 1 = 1/4x - 2

Add 1 to both sides.

y = 1/4x - 1 ⇒ our new equation.

Therefore, the number that fits in the question mark is -1.

~Hope I helped!~

Answer:

$520

Step-by-step explanation:

Since this is a 5% discount, you must subtract 5 from 100% which is 95%.

This will be written as 0.95.

Expression: [tex]x*0.95=494\\\\0.95x=494\\\\\frac{0.95x}{0.95} =\frac{494}{0.95}[/tex]

The answer will be $520.

Answer:

[tex]\boxed{520}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcl}\text{ Price before discount - discount} & = & \text{sale price}\\b-0.05b & = & 494\\0.95b & = & 494\\\\b & = & \dfrac{494 }{0.95}\\\\& = & \mathbf{520}\\\end{array}\\\text{The number from the set that matches } b \text{ is }\boxed{\mathbf{520}}[/tex]

Answer:

(B) sample size is 666

Step-by-step explanation:

given data

CI = 99%

error = 0.05

to find out

sample size

solution

we know that for CI = 99% and E = 0.05 the value of z = 2.58 from table

and no estimate of proportion is given so it is rule take q = p = 0.5

so now we can calculate sample size i.e.

n = (z/E)² ×p ×q

put the value q and p = 0.5 and z and E so we get sample size

n = (z/E)² ×p ×q

n = (2.58/0.05)² ×0.5 ×0.5

n = 665.64

so sample size is 666

so option (B) is right

Answer:

Step-by-step explanation:

The trig identities are helpful for this.

  sin² θ = 1 - cos² θ = 1 -(1/6)² = 35/36

  sin θ = (√35)/6 . . . . . . take the square root

__

  tan² θ = sec² θ -1 = (1/cos² θ) -1 = 6² -1 = 35

  tan θ = √35 . . . . . . . . . take the square root

A) 177.568 thousand.

B) 125.836 thousand.

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

[tex]y = -1.437 x + 197.686[/tex]

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

[tex]y = -1.437 (14) + 197.686[/tex]

Now, we solve.

[tex]y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568[/tex]

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

[tex]y = -1.437 (50) + 197.686[/tex]

Now, we solve.

[tex]y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836[/tex]

This means that the population of ladybugs in 2060 would be 125.836 thousand.

Answer:

30 ft

Step-by-step explanation:

This is a classic right triangle problem, where the length of the ladder represents the hypotenuse, where the ladder is lengthwise from the building is the base of the triangle, and what we are looking for is the height of the triangle.  Pythagorean's Theorem will help us find this length.

[tex]32^2-10^2=y^2[/tex] so

1024 - 100 = y^2 and

y = 30.4 so 30 feet

Final answer:

Using the Pythagorean theorem, it is determined that the ladder reaches approximately 30 feet up the building when one end is placed 10 feet from the wall.

Explanation:

To determine how far up the building the ladder will reach, we can use the Pythagorean theorem, which applies to right-angled triangles. The ladder forms the hypotenuse, the distance from the wall to the base of the ladder forms one leg, and the height the ladder reaches up the wall forms the other leg of the triangle.

Using the given lengths:

Ladder (hypotenuse) = 32 feet

Distance from the wall (adjacent) = 10 feet

Let height up the wall (opposite) be represented by y.

The Pythagorean theorem states that:

a^2 + b^2 = c^2

Where a and b are the legs of the triangle and c is the hypotenuse. Plugging in the values:

10^2 + y^2 = 32^2

100 + y^2 = 1024

y^2 = 1024 - 100

y^2 = 924

y = √924

y ≈ 30.4 feet

To the nearest foot, the ladder reaches approximately 30 feet up the wall.

Answer:

Part 1) [tex]-1.25[/tex] -------> [tex]2.75/(-2.2)[/tex]

Part 2) [tex]-4\frac{1}{3}[/tex] --------> [tex](-2\frac{3}{5}) / (\frac{3}{5})[/tex]

Part 3) [tex]\frac{2}{3}[/tex] ------> [tex](-\frac{10}{17}) / (-\frac{15}{17})[/tex]

Part 4) [tex]3[/tex] ------> [tex](2\frac{1}{4}) / (\frac{3}{4})[/tex]

Step-by-step explanation:

Part 1) we have

[tex]2.75/(-2.2)[/tex]

To calculate the division problem convert the decimal number to fraction number

[tex]2.75=275/100\\ -2.2=-22/10[/tex]      

so

[tex](275/100)/(-22/10)[/tex]

Remember that

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

[tex](275/100)/(-22/10)=(275/100)*(-10/22)=-(275*10)/(22*100)=-(275)/(220)[/tex]

Simplify

Divide by 22 both numerator and denominator

[tex]-(275)/(220)=-125/100=-1.25[/tex]

Part 2) we have

[tex](-2\frac{3}{5}) / (\frac{3}{5})[/tex]

To calculate the division problem convert the mixed number to an improper fraction  

[tex](-2\frac{3}{5})=-\frac{2*5+3}{5}=-\frac{13}{5}[/tex]

so

[tex](-\frac{13}{5}) / (\frac{3}{5})[/tex]

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

[tex](-\frac{13}{5}) / (\frac{3}{5})=(-\frac{13}{5})*(\frac{5}{3})=-\frac{13*5}{5*3}=-\frac{13}{3}[/tex]

Convert to mixed number

[tex]-\frac{13}{3}=-(\frac{12}{3}+\frac{1}{3})=-4\frac{1}{3}[/tex]

Part 3) we have

[tex](-\frac{10}{17}) / (-\frac{15}{17})[/tex]

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

[tex](-\frac{10}{17}) / (-\frac{15}{17})=(-\frac{10}{17})*(-\frac{17}{15})=\frac{10*17}{17*15}=\frac{10}{15}[/tex]

Simplify

Divide by 5 both numerator and denominator

[tex]\frac{10}{15}=\frac{2}{3}[/tex]

Part 4) we have

[tex](2\frac{1}{4}) / (\frac{3}{4})[/tex]

To calculate the division problem convert the mixed number to an improper fraction  

[tex](2\frac{1}{4})=\frac{2*4+1}{4}=\frac{9}{4}[/tex]

so

[tex](\frac{9}{4}) / (\frac{3}{4})[/tex]

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

[tex](\frac{9}{4}) / (\frac{3}{4})=(\frac{9}{4})*(\frac{4}{3})=\frac{9*4}{4*3}=\frac{9}{3}=3[/tex]

To match each division problem to its quotient, you'll need to perform each division and then see which of the given quotients corresponds to the result of each division. Let's go through the steps for each division problem you might have:
1. Start with the first division problem. For example, if it's `45 / 5`, you'd perform the division by determining how many times 5 goes into 45.
2. To solve `45 / 5`, you can count by fives until you reach 45, or recognize that 5 times 9 is 45. Hence, the quotient for `45 / 5` is 9.
3. Look at the potential quotients given to you and match the result. If one of the choices is 9, match `45 / 5` with that quotient.
4. Repeat the process for the next division problem, say `30 / 6`. Divide 30 by 6 to get the quotient. Since 6 times 5 is 30, the quotient here is 5.
5. Again, look at your potential quotients. If there is a 5 among them, this is incorrect since 5 is not a choice in our example set of potential quotients. Instead, you would expect to see a 6, as that is the typical mistake that such a setup might be aiming to identify.
6. Move on to the next division problem, for instance, `18 / 3`. To find the quotient, you divide 18 by 3, which gives you 6 because 3 times 6 is 18.
7. Match `18 / 3` with the correct quotient from your list of choices, which in this case would be 6.
Remember, these are hypothetical examples. In your actual matching exercise, you would perform the division for each problem you've been given and then find the corresponding quotient from the choices available to you. The key is to perform each division accurately and then pair it with the right answer. If you perform all the divisions and none of the quotients match the results you have obtained, there might be an error in the given quotients or the division problems.

Answer:

  (4, -2)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h)

for a line with slope m through point (h, k).

Comparing this to the equation you're given, you can see that the point that was used is (h, k) = (4, -2).

_____

You can find other points on the line, but this one is the easiest to find, since it can be read directly from the equation.

Jamie's elevation during a hike is modeled with a piece-wise function depicting a constant rate of ascent and descent at 300 feet/hour up to a peak at 1,500 feet. He reaches 600 feet elevation at 2 and 8 hours, during his ascent and descent, respectively.

The subject of this question is Jamie's hiking adventure up and down a mountain, modeled by a mathematical equation. Since Jamie is hiking at a constant rate of 300 feet per hour, he reaches the peak of 1,500 feet in 5 hours (1,500 / 300). His elevation, e, can be calculated as e = 300t for t <= 5 because this represents his ascent. For the descent, the equation would be e = 1500 - 300(t - 5) for t > 5. This is because for every hour after the 5th hour, he will be descending at the same constant rate.

Therefore, if we were trying to calculate when his elevation would be 600 feet, there would be two possible answers: one during his ascent, and the other during his descent. For the ascent, we would solve 300t = 600, resulting in t = 2 hours. For the descent, we would solve 1500 - 300(t - 5) = 600, giving us t = 8 hours. So, Jamie is at 600 feet elevation both 2 hours into his hike (on his way up) and 8 hours into his hike (on his way down).

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The question involves creating a mathematical model for a hiking scenario, considering time and distance. Jamie hikes at a rate of 300 feet/hour for 5 hours up and 5 hours down, making a piecewise function the best way to model his elevation at any part of his journey.

The subject of the question is about understanding how to create a mathematical model for a hiking scenario. A key point is understanding that the rate of climbing and descending is the same and that time and distance are both relevant in this case.

Jamie climbs upwards at 300 feet/hour, making it to 1,500 feet, which means it took him (1,500 feet / 300 feet per hour) = 5 hours. After reaching the peak, he descends at the same rate. So his total journey time is 5 hours upwards + 5 hours downwards = 10 hours.

To model Jamie's elevation at any given time, we'd use a piecewise function because his elevation changes direction at the peak of the mountain. When t ≤ 5, we can define his elevation as e = 300t. After reaching the peak, his elevation drops at the same rate: when t > 5, e = 3000 - 300t. This gives us his elevation at any time during his hike.

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Answer:

y = 4.8

Step-by-step explanation:

Since AM is an angle bisector then the following ratios are equal

[tex]\frac{AC}{AB}[/tex] = [tex]\frac{CM}{MB}[/tex], that is

[tex]\frac{9.6}{8}[/tex] = [tex]\frac{y}{4}[/tex] ( cross-  multiply )

8y = 38.4 ( divide both sides by 8 )

y = 4.8

The answer of this question is c) 14

MN=NO

4x-5=2x+1

2x=6

x=3

Again

MO=MN+NO

MO=4×3-5+2×3+1

MO=7+7

MO=14

Answer: False

Step-by-step explanation: I believe it would be false. Using the law of sines with the side lengths of 113.29 feet and 125 feet, and the corresponding angels of 25 and 65 degrees, the angle of the light is about 58.29. I believe this would make it false as the angle is incorrect.

Answer:

48

Step-by-step explanation:

Answer:

There are 1,679,616 possibles outcomes

Step-by-step explanation:

This can be calculated using a rule of multiplication as:

     6    *      6   *      6    *    6       *      6    *      6     *      6     *      6     =  1,679,616

1st Roll      2nd       3rd       4th          5th        6th       7th          8th

Because the die is rolled 8 times and every roll has 6 possibilities.

Then, if the order matter, there are 1,679,616 possible outcomes.

Answer:

  x = 6

Step-by-step explanation:

An angle bisector divides the segments on either side of it so they are proportional. That is ...

  x/12 = 5/10

  x = 12(5/10) = 6 . . . . . multiply by 12

[tex]|\Omega|=3\cdot3=9\\|A|=1\cdot2=2\\\\P(A)=\dfrac{2}{9}\approx22\%[/tex]

Answer:

Let Frank spends x amount in purchasing the magazines and newspapers.(though this is not used here)

MU is marginal utility where a customer can decide a particular way to allocate his income.

This allocation is done in a way, that the last dollar spent on purchasing a product will yield the same amount of extra marginal utility.

MU from the final magazine is 10 units while his MU from the final newspaper is also 10 units.

MU per dollar spent on magazines = [tex]\frac{10}{5}=2[/tex]

MU per dollar spent on newspapers = [tex]\frac{10}{2.5}=4[/tex]

We can see the MU per dollar spent on magazine is less than newspapers.

Therefore, according to the utility-maximizing rule, Frank should re-allocate spending from magazines to newspapers.

Answer:

He should investing more money on newspaper

Step-by-step explanation:

Given:

His MU from the final magazine and final newspaper is 10 utils, so we have:

magazine = $5 / 10 utils = $0.50 per util

newspaper = $2.50 / 10 utils = $0.25 per util

He should investing more money on newspaper  because twice the amount obtained from each dollar spent on newspapers than magazines as we can see above,

Hope it will find you well.

Answer:

16

Step-by-step explanation:

Using pythagorean theorem, a^2+b^2=c^2, you can substitute the legs in. 8^2+8sqrt3^2=c^2. C is the hypotenuse. you get 64+64sqrt9=c^2. This simplifies to 64+64(3)=c^2. This equals 256=c^2. Sqrt of 256 is 16, which is C.

Step-by-step explanation:

using a^2 = b^2+c^2

=> a^2 = 8^2 + 8×root3

=> a^2 = 64 + 64×3

=> a^2 = 64 + 192 = 256

=> a = 16