Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Department’s?
Hypotheses:
H0: There is (no difference /a difference) in Mr. Goodman’s evaluations and the History Department’s.
H1: There is (no difference /a difference) in Mr. Goodman’s evaluations and the History Department’s.
Enter the test statistic - round to 4 decimal places.
Enter the p-value - round to 4 decimal places.
Can it be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s?
(Yes/ No)

Answer:

c

Step-by-step explanation:

9/10

Answer:

\(-3x^3-2x+27 \ is\ the\ standard\ form.\)

Step-by-step explanation:

The standard form of a polynomial is its representation in a descending order starting from the term with the highest degree to the one with the lowest.

Here,\(-3x^3-2x+27 \ is\ the\ standard\ form.\)

Answer:

I think that is a function

Step-by-step explanation:

The required answers ar(a)P = $2,000,r = 4.5%,n = 2 (b)$ 2985.17, (c) 4.45%

(A) Using the given information, we can identify the following values:

P = $2,000 (the present value or initial deposit)

r = 4.5% (the annual percentage rate)

n = 2 (the number of times per year that interest is compounded, since it is compounded semi-annually)

(B) To find the future value of the account balance after 9 years, we can use the formula:

\(S(t) = P(1 + r/n)^{nt}\)

where t is the time in years. Substituting the given values:

\(S(9) = $2,000(1 + 0.045/2)^{2*9}= $2,000(1.0225)^{18}\)

= $2,000(1.505016)

= $2985.17

Therefore, Monique will have $$2985.17 in the account in 9 years.

(C) The annual percentage yield (APY) takes into account the effect of compounding on the effective interest rate. It is calculated as:

\(APY = (1 + \frac{r}{n})^n - 1\)

Substituting the given values:

\(APY = (1 + 0.045/2)^2 - 1\)

= 0.0445 or 4.45%

Therefore, the annual percentage yield for the savings account is 4.45% rounded to 3 decimal places.

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James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

c) Solve for the second equation for y and then substitute this value int the first equation.

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

always choose the equation where the variable is alone.

second equation has a lone 'y' and all that needs to be done is subtracting 2x from both sides of equal sign.

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

A. 1

B. -1

C. Proportional

D. y=x-1

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

The set that represents the intersection of sets B and C is option d. {1, d, e}.

The intersection of two sets, B and C, consists of the elements that are common to both sets. Looking at the given sets, B = {1, {2, 3}, d, e} and C = {1, 3, d, e}, we can identify the elements that are present in both sets.

Set B contains the elements 1, {2, 3}, d, and e. Set C contains the elements 1, 3, d, and e. To find the intersection of B and C, we need to identify the elements that are present in both sets.

From the given sets, we can see that the elements {2, 3} and 3 are only present in set B and not in set C. Therefore, they are not part of the intersection.

The elements that are common to both sets B and C are 1, d, and e. These elements are present in both sets B and C. Hence, the intersection of B and C is {1, d, e}.

Therefore, option d. {1, d, e} represents the set B ∩ C.

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Answer:

See below

Step-by-step explanation:

Solve x-5y=6 for x

First, we need to isolate the x by moving -5y to the other side.

To do this, we need to add 5y to both sides

x - 5y=  6

  +5y   +5y

x= 5y+6

So, your third answer is correct

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

Welcome to Brainly! I saw that this was your very first question. I will gladly assist you with your problem. (see explanation).

Step-by-step explanation:

The calculation of the estimated damaged items in the situation where 23,025 capacitors were produced is displayed below:

(5 times 23,025 capacitors) / (1,535 capacitors)

= 75

Therefore, when 23,025 capacitors are produced, 75 damaged products are expected.

Hope this helped!)

Answer:

336/13 books in 48 months

Step-by-step explanation:

14 books : 26 months

first, find how many books he reads in one month (by dividing the given rate by the number of months)

14 books : 26 months

/26             /26

7/13 books : 1 month

now multiply by the number of months that this problem requires

7/13 books : 1 month

*48               *48

336/13 books : 48 months

A sequence starts with a LS of a child seated at a desk coloring. There is a cut to a MS of that same scene, but the child is now drinking from a glass is Jump cut, option C.

In film editing, a jump cut is a split that separates a single continuous sequential shot of a subject into two sections, with a section of the video edited out to create the illusion of a temporal leap. To accomplish the effect, the subject's camera position in the remaining clips in the sequence need only be slightly altered. It is a manipulation of temporal space that uses a single shot's length and fractures it to advance the viewer.

Jump cuts are therefore viewed as a breach of traditional continuity editing, which tries to de-emphasize editing and create the illusion of continuous time and space in the story-world. Nevertheless, jump cuts are occasionally utilised for artistic reasons. Jump cuts frequently highlight how carefully the movie was put together. Occasionally, more than one jump cut is used in a single sequence.

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Complete question:

A sequence starts with a LS of a child seated at a desk coloring. There is a cut to a MS of that same scene, but the child is now drinking from a glass. This represents: Group of answer choices:

Editing

Continuity

Jump cut

Cutaway

This represents transition from the scene of coloring to drinking.

The sequence represents a transition from coloring to drinking. The initial LS (long shot) shows a child seated at a desk, engaged in the activity of coloring. This establishes the starting point of the sequence.

But in the subsequent MS (medium shot), the same scene is depicted but now the child is seen drinking from a glass instead of coloring. This transition from coloring to drinking indicates a change in activity within the sequence. The shift from the LS to the MS with the child's change in action from coloring to drinking signifies progression of time or a shift in focus.

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Answer:

x>20/3

Step-by-step explanation:

Answer:

y = 1/9

Step-by-step explanation:

To attain the y-intercepts you must let x = 0.

So in this case you will be having:

y = (3/2)(0) + 1/9

So the coordinates will be (0,1/9)

hopefully this makes sense :)

Answer:

114

Step-by-step explanation:

if Harry by the TV priced at 1200 euros plus 20% of 18 rupees 300 deposit and then balancing 10 equal monthly payments calculate each monthly payment therefore we get to have you at the 20% be at that adds up to 14:40 and then subtract the 300 deposit that he made you remind me the balance of 1140 there for 10 months how much will he have paid each month iis 114

Answer:

it's b. y= \(y= e^{b}+3\) on edg2020

Transformed functions are functions that are modified by some transformation. In this question the transformation of y=\(e^x\) that is  y = \(e^x\)+ 3.

Therefore, the transformation of the given function y= \(e^x\) that is "y = \(e^x\) + 3".

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The table is completed using this function rule y = 4x + 2 is given below.

x            -2            0             2            4

y            -8            2            10           18

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

y = 4x + 2

At x = - 2, the value of 'y' is given as,

y = 4 × (-2) + 2

y = - 8 + 2

y = - 6

At x = 0, the value of 'y' is given as,

y = 4 × (0) + 2

y = 0 + 2

y = 2

At x = 2, the value of 'y' is given as,

y = 4 × (2) + 2

y = 8 + 2

y = 10

At x = 4, the value of 'y' is given as,

y = 4 × (4) + 2

y = 16 + 2

y = 18

The table is completed using this function rule y = 4x + 2 is given below.

x            -2            0             2            4

y            -8            2            10           18

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Step-by-step explanation:

Please here it is.

Given y = 4x + 2

The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer:

The length of arc PRQ is 16.7 in.

Step-by-step explanation:

So,

arc length = 2πr × (θ/360)

arc length = 2(3.14)(8) × (120/360)

arc length = 2(3.14)(8) × (120/360)

arc length = 50.24 × (1/3)

arc length = 16.7 inches

Thus, The length of arc PRQ is 16.7 in.

Answer:

Step-by-step explanation:

are the what???

Answer: 31.42 m

Step-by-step explanation:

\(A=2\pi rh+2\pi r^2\)

\(A=2\pi (1)(4)+2\pi (1)^2\)

\(A=31.42\)

Hope this helped! ;)

Answer:

Example: Find the radian measure of the angles −70° and 120°.

Solution: To find the radian measure of −70° we multiply −70 by the conversion factor /180. We get

Similarly, for 120° we obtain

Note that when we write an angle as a fractional amount of , for example 2/3 times  we write the result either as the numerator times  divided by the denominator or as the fraction times . So the two values

are equivalent ways of writing the same number. You will see both methods used in the text and in the exercises.

Example: Find the degree measure of /12.

Solution: The conversion factor for going from radians to degrees is 180/. We get

and so the radian measure of /12 is 15°.

Step-by-step explanation:

Answer:

1/8.

Step-by-step explanation:

Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.

Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2  -1

=  1 / [ 2 * (16 - x)^1/2

Derivative of the denominator =  1

When x approaches 0 this is 1 / (2*4)

= 1/8.

Another way to do this is to multiply top and bottom by  4 + (16 - x)^1/2

This  becomes   16 - (16 - x) / x(4 + (16-x)^1/2)

= 1 / (4 + (16 + x)^1/2

When x ---> 0

this = 1 /(4 + 4)

= 1/8.

Answer: 48

Step-by-step explanation:

We need to find the least common multiple of 12 and 16.

Finding the prime factorizations of 12 and 16,

\(12=2^{2} \times 3\\\\16=2^{4}\)

Thus, the least common multiple is \(2^{4} \times 3=\boxed{48}\)