Are integers rational numbers

Answer:

12 1314

Step-by-step explanation:

i guess this should be the abswer

Answer: e = -2

Step-by-step explanation:

first, i removed the parentheses.

6 + 0.75e = 2 - 1.25e

then, i moved the terms.

0.75 e + 1.25e = 2 - 6

next, i collected the like terms and calculated them.

2e = -4

finally, i divided both sides.

e = -2

For the following scenario where a researcher wanted to test the ratings of three different brands of paper towels with 7 reviewers each, you would utilize Friedman's rank test.

For the given scenario, the appropriate test to use would be the Friedman's rank test. This is because we have three different brands of paper towels, and each brand is rated by 7 reviewers.

The Friedman's test is used to determine if there are significant differences among the groups in a repeated measures design, where the same individuals are rated on multiple occasions. Therefore, it is the appropriate test for this scenario where the ratings are collected from multiple reviewers for each brand.

This test is also appropriate because there are more than two related groups being compared (three brands of paper towels), and the data is likely ordinal (ratings). The Wilcoxon sign rank test is typically used when comparing only two related groups.

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a. Here is the completed table of values for the function:

| x    | y     |

|------|-------|

| 0    | 360   |

| 1    | 320   |

| 2    | 280   |

| 3    | 240   |

| 4    | 200   |

| 5    | 160   |

| 6    | 120   |

| 7    | 80    |

| 8    | 40    |

| 9    | 0     |

| 10   | -40   |

b. When x equals 6, y equals 120. This means that if someone attends 6 hours of "good driving" classes after receiving a ticket for reckless driving, their fine will be reduced to $120. The more hours of classes they attend, the greater the reduction in their fine. In this case, attending 6 hours of classes resulted in a $240 reduction in the fine (from the original $360 fine).

a. Table of values for the function y = -40x + 360:

x (hours) | y (fine in dollars)

----------|-------------------

 0      |       360

 1      |       320

 2      |       280

 3      |       240

 4      |       200

 5      |       160

 6      |       120

 7      |        80

 8      |        40

 9      |         0

b. When x equals 6, y equals 120: This means that if a person attends 6 hours of "good driving" classes, their fine for reckless driving will be reduced to $120.

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The monthly payment to purchase a payment of R150 000 due in 30 years' time is R414.47. This is calculated by first finding the present value of the payments using the equation of value at time 30. The present value is then divided by the present value of an annuity of R1 per month for the number of months in the term of the loan. The monthly payment is R414.47.

The equation of value at time 30 is: PV = 0.92x * a_{30\left(12\right)} \left(1 + \frac{0.11}{2}\right)^{30\left(12\right)} + 0.97x * a_{20\left(12\right)} \left[\left(1 + \frac{0.11}{2}\right)^{30\left(12\right)} - \left(1 + \frac{0.14}{12}\right)^{20\left(12\right)} \right] - 150 000. where x is the monthly payment, a_{n} is the present value of an annuity of R1 per month for n months, and PV is the present value of the payments. Solving for x, we get: x = \frac{150 000}{a_{30\left(12\right)} \left(1 + \frac{0.11}{2}\right)^{30\left(12\right)} + a_{20\left(12\right)} \left[\left(1 + \frac{0.11}{2}\right)^{30\left(12\right)} - \left(1 + \frac{0.14}{12}\right)^{20\left(12\right)} \right]} = R414.47

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The statement that best describes what a p-value is in terms of hypothesis testing is: It is a measure of the strength of the evidence against the null hypothesis.

What is a p-value?

In statistics, the p-value is the likelihood of obtaining the observed results of a test, or anything more extreme, assuming that the null hypothesis is true.

The null hypothesis is a statistical hypothesis that assumes that the statistical data used in the analysis are insignificant and that the observed differences can only be due to chance.

The p-value is a critical measure in hypothesis testing since it determines the statistical importance of the evidence against the null hypothesis.

The p-value is a percentage value that ranges from 0 to 1.

When p ≤ 0.05, we reject the null hypothesis because the observed evidence is statistically significant. If p > 0.05, we accept the null hypothesis because the observed evidence is not statistically significant.

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Answer: ( . is another way to write a multiplication sign.

X = the amount of pounds each rice bag has.)

7 + 4 . X = 64

Not sure if this is needed but X = 14.25 so if there is a follow up question that asks how many pounds are in each bag of rice the answer would be 14.25.

If you can not use X in the equation another way of writing it would be 7 + 4 . 14.25 = 64

I am not sure which equation your teacher would want because that all depends on the teacher and if there are any further details on the question. So if somewhere on the question it said you have to use a variable you would use the equation with the variable.

Step-by-step explanation:

1.  The question claims that the total of all of the pounds of rice and bean bas equals a total of 64 so that would be the answer to the equation.

2. You now need to make an equation that represents the situation by setting up your equation like this: 7 + 4 . X = 64

How to find X and have an equation with an already solved X.

1  We know that in total each bag has 64 pounds so that means we have to subtract 7 from 64. The difference is 57.

2. We now need to divide 57 by 4 because the rest of the bags have an identical amount of pounds so your answer should be 14.25.

3. Your equation should be set up like this: 7 + 4 . 14.25 = 64

Answer:

A)6

B)ST

Step-by-step explanation:

A if u turn it,  15 is equal to the 10

15/9=10/x

x=90/15

x=6

B) Turn it so #2 is facing up.

ST is the same.

Hope this helps plz hit the crown :D

Step-by-step explanation:

A. BC/FG = AC/EG

9/FG = 15/10

FG = (9 x 10) / 15

FG = 6

B. CD/EA= ST/UQ

Follow my account^^

Answer:

z = 3\(\sqrt{13}\)

Step-by-step explanation:

Using the altitude- on- hypotenuse theorem

( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

z² = 9 × (9 + 4) = 9 × 13 = 117 ( take square root of both sides )

z = \(\sqrt{117}\)

  = \(\sqrt{9(13)}\)

  = \(\sqrt{9}\) × \(\sqrt{13}\)

  = 3\(\sqrt{13}\)

Answer: C

A

B

D

Step-by-step explanation:

Best describe a parallelogram with diagonals that are perpendicular is rectangle.

A parallelogram with diagonals that are perpendicular is called a rectangle. A rectangle is a special type of parallelogram that has four right angles. This means that the diagonals of a rectangle are perpendicular to each other, and they bisect each other.

In addition to having perpendicular diagonals, a rectangle has other unique properties. Its opposite sides are congruent and parallel, and all angles are right angles. The diagonals of a rectangle have the same length, and they divide the rectangle into four congruent right triangles.

The properties of a rectangle make it a useful shape for many practical applications. For example, rectangular shapes are commonly used in building construction, furniture design, and graphic design. The perpendicular diagonals of a rectangle also make it useful for geometric proofs and calculations.a

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The expected frequency of east campus and passed is C. 42 students

The table for expected frequency is ,

East Campus West Campus Total

Passed (84*100)/22=42 (84*100)/200 =42 84

Failed (116*100)/200=58 (116*100)/22=58 116

Total 100 100 200

Passed = 84×100/200

= 42

Therefore, the expected frequency of East Campus and Passed is 42 students.

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Let's find the magnitude of each component:

Let:

 \((x1,y1)=(4,4)\)

\((x2,y2)=(-12,8)\)

     \(u=ax+by\)

  \(||u||=\sqrt{a^2+b^2}\)

So, let's find a and b:

\(a=|x2-x1|=|-12-4|=|-16|=16\)

       \(b=|y2-y1|=|8-4|=|4|=4\)

so:

\(||u||=\sqrt{16^2+4^2}\)

   \(||u||=\sqrt{272}\)

 \(||u||\thickapprox16.492\)

And the direction is:

         \(\theta=180-\text{tan}^{-1}\huge \text(\dfrac{b}{a}\huge \text)\)

        \(\theta=180-\text{tan}^{-1}\huge \text(\dfrac{4}{16}\huge \text)\)

\(\theta\thickapprox180-\text{tan}^{-1}\huge \text(\dfrac{4}{16}\huge \text)\thickapprox165.964\)

Answer:

C

Step-by-step explanation:

C. Because:

Less than or greater than only have an empty circle in the endpoint.

Less than or equal to; greater than or equal to endpoints are filled in to signify they are included. Only answer that has a filled in endpoint is C making this pretty easy to reason.

Assuming that these are seperate equations:

Problem 1:

1) Use the sum-product pattern.

x² - 5x - 6

x² + x - 6x - 6

2) Common factor from the two pairs.

x² + x - 6x - 6

x (x + 1) - 6 (x + 1)

3) Rewrite in factored form.

x (x + 1) - 6 (x + 1)

(x - 6) (x + 1)  ----> Answer

Problem 2:

1) Use the sum-product pattern.

x² + 3x - 40

x² + 8x - 5x - 40

2) Common factor from the two pairs.

x² + 8x - 5x - 40

x (x + 8) - 5 (x + 8)

3) Rewrite in factored form.

x (x + 8) - 5 (x + 8)

(x - 5) (x + 8) ----> Answer

Problem 3:

1) Use the sum-product pattern.

x² - 7x - 30

x² + 3x - 10x - 30

2) Common factor from the two pairs.

x² + 3x - 10x - 30

x (x + 3) - 10 (x + 3)

3) Rewrite in factored form.

x (x + 3) - 10 (x + 3)

(x - 10) (x + 3) ----> Answer

Cheers,

ROR

If you choose the lottery, you would be considered a risk taker.

By opting for the lottery with a 0.50 probability of winning $500 and a 0.50 probability of winning nothing, you are demonstrating a willingness to take a chance and accept the uncertainty associated with the potential outcomes. A risk taker is someone who is willing to engage in risky or uncertain situations for the possibility of gaining a favorable outcome. In this case, you are accepting the risk of potentially winning nothing in exchange for the chance to win a larger amount.

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Answer:

16

Step-by-step explanation:

on the number line it would be 9 and 7 on the same side because -7in () would be +7  and than you add it it would be 16

Answer:

D) 10

Hope that helps! Plz mark as brainlest!

Step-by-step explanation:

Cause if you look... the small triangle has 4 at the bottom and the big one has 8. So you know the big triangle is double the size. Now you can do 5 x 2 to get 10!

If the boy is riding a bicycle and gets stuck or got accident by a car, 440ml of IV fluid will be administered.

To avoid further injury, place the victim on the ground very gently and slowly without handling vigorously. In one direction, tilt the sufferer. Dress loosely around the waist, chest, and neck. So that the tongue can fall forward and allow blood and vomit to drain out, tilt your head back and slightly downward. When you come across an accident victim, the first thing you need to determine is whether the victim's body has sustained any physical wounds. Depending on how severe the collision was, you might not be able to see any inside injuries, but you will see a few exterior ones.

In a car accident, spine injuries and head trauma are common. Therefore, be aware that rough handling of the sufferer will result in additional injuries while opting to assist the victim in moving to a safer location on the road. Therefore, request any onlookers to carefully assist in moving the sufferer to a location near the road where it will be safer.

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Answer:

128 ÷ 16 = 8

so 8 dog food for every dog

Given

The data is given

10,13,14,15,17,18,20,30,35

The temperature in this city changed by 7.5 degrees Celcius

From the question, we have the following parameters that can be used in our computation:

Rate of change = 0.5 degree Celcius daily

Number of days = 15

Using the above as a guide, we have the following:

Total change = Rate of change * Number of days

Substitute the known values in the above equation, so, we have the following representation

Total change = 0.5 * 15

Total change = 7.5

Hence, the total change is 7.5 degrees

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Complete question

The temperature of a City changes by 0.5 degree Celcius daily in the month of February. Summarize how the high temperature in this city changed over the 15 days

The variance is calculated by subtract the budgeted production volume from  actual production volume, and multiply that difference by  standard cost. If the result is positive, favorable, and if it is negative, unfavorable.

The difference above the actual and budgeted production volumes, multiplied by the average cost per unit, is known as the production volume variance. The formula for calculating the production volume variance is as follows:

Production Volume Variance = (Actual Production Volume ₋Budgeted Production Volume) × Standard Cost per unit

If the actual production volume is higher than the budgeted production volume, the production volume variance will be favorable because it means that the company produced more than anticipated, which could lead to increased revenue. On the other hand, if the actual production volume is lower than the budgeted production volume, the production volume variance will be unfavorable because it means that the company produced less than anticipated, which could lead to decreased revenue.

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Answer:

x  =  5  ±  √  2

Step-by-step explanation:

Step-by-step explanation:

I don't know the words used in the answer options.

but what happens is

g(x) = f(x) + 3

you know, what the result of a function stand for ? the y value or coordinate.

g(x) is still the original f(x) in shape and size. but the resulting y is additionally increased by 3 consistently.

so, as result, the whole graph of f(x) moves up vertically by 3 units compared to the original f(x) graph.

h(x) = f(x - 2)

again, h(x) is still the original f(x) in shape and size. but now we are creating y values not for x itself but for an x value that is 2 units "before" the actual x value (in the sense when moving along the graph from left to right).

so, as result, the whole graph of f(x) moves right horizontally by 2 units compared to the original f(x) graph.

The discussion of the transformation from the graph of f to the graphs g(x) and f(x)+3 and h(x)-f(x-2) shown below

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

given:

f(x)=-3x+4.

g(x) = f(x) + 3

The coordinate or value for y.

f(x) original value and form still apply to g(x) but the outcome y is also consistently increased by 3.

Thus, in comparison to the original f(x) graph, the entire f(x) graph goes up vertically by 3 units.

Now, h(x) = f(x - 2)

Again, the size and form of h(x) are identical to those of f(x).

Nonetheless, we are now producing y values for an x value that is 2 units "before" the actual x value rather than for x itself (in the sense when moving along the graph from left to right).

Consequently, the entire f(x) graph shifts right by 2 units in comparison to the original f(x) graph.

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The total lines you can draw using 2 points is 3 lines

Collinear points are points that lines on the same line compared to coplanar points that lies on the same plane.

Combination and permutation are two different ways of grouping elements of a set into subsets. Combination has to do with selection while permutation has to do with arrangement.

From the given question, we are to randomly draw two points from the given 3 points. This is a combination question since it is selection. The combination formula is given as;

nCr = n!/(n-r)!r!

3C2 = 3!/(3-2)!2!
3C2 = 3*2/2*1
3C2 3/1
3C2 = 3ways

Hence the total lines you can draw using 2 points is 3 lines

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Answer:

\(42ft^{2}\)

Step-by-step explanation:

\(2\sqrt{7}\) × \(3\sqrt{7}\)

Multiply the numbers outside the root and inside the root.

\(2x3=6\)      \(7x7=49\)

\(6\sqrt{49}\)

Simplify whats under the root

\(\sqrt{49} = 7\)

\(6\)×\(7=42\)

Answer:

x = 12

Step-by-step explanation:

67+42+6x-1=180

108+6x=180

6x=72

x=12

Answer:

25.80$

Step-by-step explanation:

Original Price for Football:$24

Rate of Tax:7.5%

\(Formula for Tax\)

\(\frac{Taxpercent}{100} x 24\)

\(\frac{7.5}{100} x24\\=1.80\)

\(Tax \\Applied:\)24+1.80=25.80$

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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