Assessing how happy UNC students are on a 7-point scale (1 not very happy to 7 extremely happy) would be best achieved using what type of scale?A. NominalB. Ordinal C. Interval D. Ratio

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

B. MT = CA

Step-by-step explanation:

MW should be equal to CD

AD should be equal to TW

MT should be equal to CA

Therefore B is the correct answer

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Answer: CD = 90

Explanation:

4b-30=3b

b = 30

3b = CD

3(30) = 90

CD = 90

I hope this helped!

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- Zack Slocum

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Answer:

90

Step-by-step explanation:

it is a square and all the edges have same len;

4b-30 = 3b , b = 30

.

3b = 90

The mean is the best measure οf center, and it equals 7.3.

Given that a line plot displays the number of roses purchased per day at a grocery store.

We need to find the mean,

So,

Mean = 6+6+7+7+8+8+8+9+9+10+1 / 11 = 7.3

Hence, the mean is the best measure οf center, and it equals 7.3.

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If line L passes through point (1, 2, 3) and is perpendicular to the xy-plane,  the coordinates of the points on the line which are at a distance 7 from the point P(3,-1, 5) are (1, 2, 11) or (1, 2, -1).

Equation of the xy - plane is z = 0. So, direction ratio perpendicular to xy - plane is (0,0,1)

So, the equation of line passing point (1, 2, 3) and is perpendicular to the xy-plane is:

          x-1/0 = y-2/0 = z-3/1 = t (say)

x = 1, y = 2 and z = t + 3

Let, (1, 2, t+3) be any point on the line that is at a distance 7 units from the point (3, -1, 5)

Then, ( (1 - 3)² + (2 + 1)² + (t + 3 - 5)²)^1/2 = 7

                                          4 + 9 + (t - 2)² = 49

                                                      (t - 2)² = 36

                                                         t - 2 = ± 6

                                                              t = 8, -4

Hence, the coordinates of the points on the line which are at a distance 7 from the point P(3,-1, 5) are (1, 2, 11) or (1, 2, -1).

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The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

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The probability that the difference between the two numbers that appear will be less than 3 is 6/36 or 1/6.

There are 36 possible outcomes when two balanced dice are rolled, and 6 of those outcomes have a difference of less than 3. Thus, the probability of the difference between the two numbers being less than 3 is 6/36 or 1/6.

The probability of the difference between two numbers appearing when two balanced dice are rolled is determined by the number of possible outcomes that have a difference less than 3. Out of the 36 possible outcomes, 6 of them have a difference of less than 3, so the probability of the difference being less than 3 is 6/36 or 1/6.

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Answer:

37.1

Step-by-step explanation:

Hope this is the right answer.

Answer:

B, C, and F

Step-by-step explanation:

y = 1/2x

y = 1/2(4)

y = 2

y = 1/2x

y = 1/2(-2)

y = -1

y = 1/2x

y = 1/2(2)

y = 1

Answer:

Step-by-step explanation:

We're not quite sure why you estimated the monthly payment at several times the value of the entire loan.

The applicable formula is the amortization formula. It computes the monthly payment A on loan principal value P at annual rate r for t years to be ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

The value of r used in this formula is the decimal equivalent of the percentage rate. 7.5% = 0.075; 9% = 0.09

__

The formula with Nicole's numbers filled in looks like ...

  A = $90,000(0.075/12)/(1 -(1 +0.075/12)^(-12·30))

  = $90,000(0.00625)/(1 -(1.00625^-360)) = $562.50/(1 -0.1051398)

  A ≈ $629.293 ≈ $629.29 . . . . Nicole's monthly payment

__

Using the same formula with P=$70,000, r=0.09, t=30, we find Zack's monthly payment to be $563.24.

_____

Additional comment

If you're doing a number of problems of this type, it can be helpful to use a tool that will do the calculation for you without error. A graphing calculator or spreadsheet can do that. One example is shown in the attachment.

Answer:

\(yt = (16 \times 46) \div 32 = 23\)

Answer:

12/13

Step-by-step explanation:

we know this is a right triangle, and we know that the hypotenuse is the longest side. so we can already say that the hypotenuse of the triangle is DF or 78.

when you draw it out, you find that the shortest leg is 30 and the second is 72 and the hypotenuse is 78. we also know that cosine is adjacent/hypotenuse. once you draw the triangle and notice which side is adjacent to angle F, just fit it into the formula and you get:

cos F = 72/78

cos F = 12/13

Answer: Choice C. \(\frac{12}{13}\)

Step-by-step explanation:

Answer:

7£

Step-by-step explanation:

Shamus buys 2 adult tickets which are 24£, 3 children tickets which are 21£, and 1 senior ticket which is 8£. 24 + 21 + 8 is 53. If Shamus pays with three 20£ notes, he payed 60£ in total. Shamus only needs 53£ however. 60 - 53 is 7 so Shamus would get 7£ back as change.

Answer:

first one is obtuse second one is acute

Step-by-step explanation:

..

The conclusion that can be drawn from the population is that it's an unusual event.

From the information, the normal population with unknown variance has a mean of 20. is one likely to obtain a random sample of size 9 from this population with a mean of 24 and a standard deviation of 4.1.

The test statistic will be:

t = (Population mean - Sample mean) / Deviation / ✓number

t = (24 - 20) / 4.1 / ✓9.

t = 2.93

Degree of freedom = n - 1

= 9 - 1

= 8

The p value is 0.0095 from a distribution table.

Since the p value is less, it's an unusual event.

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The closest number is 9 to irrational number √75.

What is irrational number?

Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0.

What is closet number?

Nearest ones whole number is the first digit before the decimal point of a number. For example nearest ones of 9.6 is equal to 10. Which is the nearest number to the decimal point? Nearest ones whole number is the first digit before the decimal point of a number.

the perfect squares near to 75 is 64 and 81.

But 81 is the closest to 75

Taking square root, we get

9 is closest to √75.

Also value of √75 is 8.66025..

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Nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.

What is birth weight?

The body weight of a newborn is referred to as birth weight. Infants of European descent typically weigh between 2.5 and 4.5 kilogrammes at birth, with an average of 3.5 kilograms. South Asian and Chinese babies weigh about 3.26 kilogrammes on average.

Babies born to nonsmokers typically weighed between 1,000 and 5,000 grammes. Babies born to smokers often ranged in weight from 500 to 4500 grammes.

However, we also notice some significant variations between the two groups' normal ranges of birth weights. With fewer infants in the lower weight ranges, nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.

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Answer:

This equation involves three variables: a, b, and c. Each variable is multiplied by a coefficient and then added together to equal a constant. To solve the equation, we must first determine what the value of the three variables are. To do this, we must use the coefficients to isolate each variable. We can start by isolating c. Divide both sides of the equation by 4 to get 2a + 9b = c. Now we can isolate b by subtracting 2a from both sides to get 9b = c - 2a. Divide both sides by 9 to get b = (c - 2a)/9. Finally, we can isolate a by subtracting 9b from both sides to get 2a = 4c - 9b. Divide both sides by 2 to get a = (4c - 9b)/2. Once we have the values of the three variables, we can substitute them into the original equation to check our work.

Step-by-step explanation:

Answer:

a=\frac{4c-9b}{2}

The slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

According to the question.

A line passes through the two points (-2, 5) and (6, -4).

As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

So, the slope of the line = -4 -5/(6 + 2) = -9/8

And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by

y = (-9/8)x + b

Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.

⇒ 5 = (-9/8)(-2) + b

⇒ 5 = 9/4 + b

⇒ b = 5 - 9/4

⇒ b = (20 - 9)/4

⇒ b = 11/4

Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

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Mean is 27 and SD is 2 then the normal curve ​with highest range would be at domain 27.

The mean is the average of a set of numbers. It is calculated by adding all the numbers in the set together, and then dividing by the number of values in the set.  It is calculated by adding up all the numbers in the set, dividing by how many values there are in the set, and then multiplying by that number. The average of a group of numbers is called the mean.

Mean is 27 and SD is 2

a) P(23<x<27)= P((23-27)/2<z<(27-27)/2)=P(-2<z<0)=P(z<0)-P(z<-2) or P(z<0)-(1-P(z<2))

From normal distribution table we get 0.5-(1-0.9772)=0.4772

b) P(x>31)=P(z>(31-27)/2)=P(z>2) or 1-P(z<2)=1-0.9772=0.0228

c) P(x<29)= P(z<(29-27)/2)=P(z<1)=0.8413

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According to the above, the point s coincides with number -5, the point t coincides with number -8.24 and the point u coincides with number 6.28.

To identify the points that coincide with the expressions we must perform the mathematical operations shown. In this case, we must find the roots and multiply the 2 by the number pi as shown in the expressions column.

An important point is that we must do these operations in the positive form and then put the negative symbol because it is not possible to find the root of a negative number.

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Answer:

0.73

Step-by-step explanation:

the probability that it is not X is 1-0.4 = 0.6

The probability that it is not Y is 1-0.5 = 0.5

The probability that it is not Z is 1-0.1 = 0.9

So the probability that it is not any of these is

0.6x0.5x0.9 = 0.27

So the probability that it is X Y or Z is 1-0.27 = 0.73

Answer:

a. x=57.6, y=44.8

Step-by-step explanation:

Named the angles, check the picture for that

<ABD+<ACD=180 (Opposite angles of a quadrilateral is supplementary (180 degrees)

<CAB+<BDC=180 (Opposite angles of a quadrilateral is supplementary (180 degrees)

therefore:

a. 3y+x-12=180.............. equ 1

2x+y+20=180.............equ 2

From equ 1

x+3y=180+12

x+3y=192...............equ 3

From equ 2

2x+y=180-20

2x+y=160.............equ 4

Equate equ 3 and equ 4

x+3y=192...............equ 3

2x+y=160.............equ 4

Using elimation method

x+3y=192...............equ 3

2x+y=160.............equ 4

Multiple equ 3 by 1 and equ 4 by 3

x+3y=192...............equ 3 ×1

2x+y=160.............equ 4 ×3

x+3y=192

6x+3y=480

Subtract

-5x+0=-288

-5x=-288

x=57.6................... Equ 5

Replace 57.6 for x in equ 3

x+3y=192...............equ 3

57.6+3y=192

3y=192-57.6

3y=134.4

y=44.8

B. <CAB= 2x=2×57.6=115.2

<ABD= 3y=3×44.8= 134.4

<ACD=x-12=57.6-12=45.6

<BDC=y+20=44.8+20=64.8

Answer:

Below

Step-by-step explanation:

I will assume this question has messed up syntax and is supposed to be :

x^5  *   x^4   * x    =

x^5   * x^4   * x^1

x^(5 + 4+ 1) =  x^10

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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here!

and here’s a link if you want to understand how to do it!

https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder

Answer:

\(-4b^3 - 4a^3 + 5a^3 b^2\)

Step-by-step explanation:

Hope it helps!!