After a history test with 20 questions, the teacher asks his students to write down the number of the questions that was the most difficult. He then asks a couple of his students to organize this data and inform the class on the results. Here are their results: then the students calculate the median and find it to be 4. Which of the following sentences best describes their teachers response to this report

The 95% confidence interval for the proportion of people who prefer Candidate A is given as follows:

(0.438, 0.522).

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The parameters for this problem are given as follows:

[tex]n = 550, \pi = \frac{264}{550} = 0.48[/tex]

Hence the lower bound of the interval is obtained as follows:

[tex]0.48 - 1.96\sqrt{\frac{0.48(0.52)}{550}} = 0.438[/tex]

The upper bound of the interval is obtained as follows:

[tex]0.48 + 1.96\sqrt{\frac{0.48(0.52)}{550}} = 0.522[/tex]

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Answer:

I don't know what the options are so I'm just gonna list a few and if they aren't on there lmk the options you have to choose from

Step-by-step explanation:

5/6, 15/18, 20/24, 25/30, 30/36, 35/42, 40/48, 45/54, 50/60, 55/66, 60/72, 65/78, 70/84, 75/90, 80/96, 85/102, 90/108, 95/114, 100/120

Answer:

5/6

Step-by-step explanation:

the equivalent fraction of 10/12 is 5/6 because both the numerator and the denominator are divisible by 2.

Answer:

West Elm Savings and Loan

a) The amount of the down payment is:

= $34,000

b) The amount of the mortgage for which the Bradys are applying is:

= $170,000.

c) The amount of the principal of $136,000 ($170,000 - $34,000) and the interest portion of the monthly payment by the Brady's is:

= $730.32

d. The total amount of interest that will be paid over the life of the loan is:

= $126,915.20

e) Total monthly payment = $994.32

f) No, they will not qualify.

g) The monthly income that would be required to qualify for this size of mortgage payment is:

= $3,977.28

Step-by-step explanation:

a) Data and Calculations:

Market value of mortgage house = $170,000

Required down payment = 1/5 or 20%

a) The amount of the down payment = $34,000 ($170,000 * 20%)

b) The amount of the mortgage for which the Bradys are applying is = $170,000.

c) Interest on the loan = $5.37 for every $1,000

The amount of the principal of $136,000 ($170,000 - $34,000) and interest portion of the monthly payment by the Brady's = $730.32 ($5.37 * $136,000/$1,000)

d. The total amount of interest that will be paid over the life of the loan is:

= $126,915.20 ($262,915.20 - $136,000)

Sum of all periodic payments = $262,915.20 = ($730.32 * 12 * 30)

e) Annual Property tax =         $1,710

Annual Property insurance     1,458

Total additional annual pyts $3,168

Monthly additional costs = $264 ($3,168/12)

Total monthly payment = $994.32 ($730.32 + $264)

f) Bradys' combined monthly income = $3,750

Qualification threshold = $937.50 ($3,750/4)

No, they will not qualify.

g) The monthly income that would be required to qualify for this size of mortgage payment is:

= $3,977.28 ($994.32/0.25)

The correct answers are given below, based on the available information given.

The amount (in $) of the down payment is:

The amount of the mortgage for which the Bradys are applying is:

The amount of the principal of $136,000 ($170,000 - $34,000) and the interest portion of the monthly payment by the Brady's is:

The total amount of interest that will be paid over the life of the loan is:

The total monthly payment

No, they will not qualify.

The monthly income that would be required to qualify for this size of mortgage payment is:

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Answer:

There are 25 possible schedules.

Step-by-step explanation:

The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Monday but not Tuesday:

Monday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Tuesday but not Monday:

Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Monday and Tuesday:

Monday and Tuesday(1), plus one out of the remaing 5 days. So

[tex]C_{5,1} = \frac{5!}{1!4!} = 5[/tex]

Total:

10 + 10 + 5 = 25

There are 25 possible schedules.

Answer:   The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.

The distance that the minute hand moves in 50 minutes, given that it started at 7 minutes, is 258 degrees.

A rotatation around the clock by the minute hand, is a full 360 degrees as it begins at 12 and ends at 12 .

If a minute hand is at 7 minutes, then it means that the degrees moved is:

= 7 / 60  x 360

= 42 degrees

At 50 minutes, the degrees moved is :

= 50 / 60 x 360

= 300 degrees

Seeing as the minute hand started at 7 minutes, the distance moved is :

= 300 - 42

= 258 degrees

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From the exponential function, the average rate of change from year 1 to year 4 is 62.43, the average rate of change from year 5 to year 8 is 67.57 and the rate of change per year is 65

An exponential function is a type of function that involves a variable in an exponent. It is of the form f(x) = a⋅b^x where a and b are constants and b > 0, b ≠ 1. The input to the function, x, is the exponent that the base, b, is raised to. The output, f(x), is the result of raising the base to the exponent.

In this problem, we have to calculate the rate of increase per year.

Data;

rate = 2%

P = 3000

The exponential growth can be calculated by;

A = P(1 + r)ⁿ

In year 1

A = 3000(1 + 0.02)¹

A = 3060

In year 4

A = 3000(1 + 0.02)⁴

A = 3247.3

a)

The average rate of change from year 1 to year 4 will be

A = [3000(1 + 0.02)⁴ - 3000(1 + 0.02)¹] / 4 - 1

A = 62.43

The average rate of change from year 1 to year 4 is 62.43

b)

The average rate of change from year 5 to year 8 is calculated as

A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)⁵] / 8 - 5

A = 67.57

C)

The rate of change increase can be calculated as;

A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)¹] / 8 - 1

A =65

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Answer: tens

Step-by-step explanation: after ones comes tens, before ones comes decimal point

a) The after-tax cost of the vehicle Rachel is buying is $29,368.70.

b) The part of the after-tax cost that Rachel will finance after making the down payment is $25,118.70.

c) The total payments after 5 years are $30,659.60.

d) The total interest Rachel paid is $1,290.90.

The interest payment represents the difference between the total monthly payments and the financing part of the after-tax cost of the vehicle.

The total monthly payments ($26,409.60) are obtained by multiplying the monthly payments ($440.16) by the number of payment periods (60).

Value of vehicle = $25,990

Harmonized sales tax (HST) = 13%

After-tax cost of the vehicle = $29,368.70 ($25,990 x 1.13)

Down payment = $4,250

Financing part = $25,118.70 ($29,368.70 - $4,250)

Monthly payments = $440.16

Financing period = 60 months (5 years x 12)

Total monthly payments = $26,409.60 ($440.16 x 60)

The total amount paid for the car = $30,659.60 ($26,409.60 + $4,250)

Total interest = $1,290.90 ($26,409.60 - $25,118.70)

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Answer:

C shifted 8 units down

Step-by-step explanation:

The slope (part with x) lets us know its negative, the second number lets us know the y intercept.

SO since the original has no second number the y intercept is 0 but since the new equation is -8 it means its 8 units lower than 0 hence -8

Answer:12

Step-by-step explanation: multiply the second fraction by 3 on the top and bottom to equalize the tow fractions denominators

The least amount of money that was originally put in the savings account is $426.

The amount of money in the savings account is a function of the money that was originally in the account and the amount by which the account was increased by.

The inequality that represents the total amount of money in the savings account is:

amount originally in the account + amount deposited > 500

x + $75 > $500

x > $500 - $75

x > $425

The least amount would be $426 because this is the smallest number that is greater than $425 that would make the total amount more than $500.

To check:

$75 + $426 = $501

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Answer:

B.

Why?

Step-by-step explanation:

"Jessica's teacher asked her to create a "histogram" representing students and cell phone use."

the hint histogram means the history or record of

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(FROM CROSS)

Yes, when we connect the points, we get straight line.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, you are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes.

Your altitude h after you have risen for t minutes is given by the function h = 250+ 20t.

a) Make a table to show the altitude as a function of the number of minutes you have traveled.

    t         h

    0     250

    1      270

    2     290

    3      310

b) Graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).

c) Yes, when we connect the points, we get straight line.

Hence, graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).

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The equation of the regression line is given as ŷ = -0.5755X + 4.743

First we have to find the logarithm of the y variables.

Logarithms of y-values:

log 4101 = 3.613

log 1029 = 3.012

log 261 = 2.417

log 69 = 1.839

log 21 = 1.322

We have to plot the ordered pairs to be in order of the table using the log y parameters.

Using a regression analysis calculator online, the equation of the regression line is ŷ = -0.5755X + 4.743.

The graph and the online calculator is contained in the image attached.

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The graph representing the given pairs is represented by the equation y = (4/5)x + 40.

        {m} - slope                 {c} - intercept along the y - axis.

Given is that Mr. Hart recorded the ratio of the minutes spent driving to the miles driven while on a road trip.

The given table is as follows -

Number of Minutes {m} :      75         60

Number of Miles {M} :          100        80

The slope of this graph will be -

m = (80 - 60)/(100 - 75)

m = 20/25

m = 4/5

The equation of the line can be written as -

y = (4/5)x + c

For the point (75, 100) as follows -

100 = 4/5 x 75 + c

100 = 4 x 15 + c

c = 100 - 60

c = 40

The equation of the graph will be -

y = (4/5)x + 40

Refer to the graph attached.

Therefore, the graph representing the given pairs is represented by the equation y = (4/5)x + 40.

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The cost of the computer if the sales tax is 6% is  924.96 dollars.

You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.

The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;

Install mental payment = 12 × 69.50

Install mental payment = 834 dollars

You already made payment of 150 dollars.

Therefore,

total payment including sale tax = 150 + 834

total payment including sale tax = 984 dollars

Sales tax = 6% of 984

Sales tax =  6 / 100 × 984

Sales tax = 5904 / 100

Sales tax = 59.04 dollars

Therefore,

cost of the computer = 984 - 59.04

cost of the computer = 924.96 dollars

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Answer:

NO

the final amount is 98.21 which is less than 120

Step-by-step explanation:

Price after discount = $120 x (100 - 25%)

$120 x 0.75 = $90

tax = $90 x 0.09125 = $8,21

final amount = $90 + 8.21 =  98.21

Answer:

y=1/2x+4

Step-by-step explanation:

m = y2-y1/x2-x1 = 5-1/2-(-6) = 4/8 = 1/2

since you have the slope, graph the points and find the y-intercept.

y=1/2x+4

The values that are solutions to the inequality -3 < 2x -3 are all real numbers greater than 0.

Given the inequality in the question;

-3 < 2x -3

Solve for x, by making it the subject of the formula.

Subtract 2x from both sides

-3 < 2x -3

-3 - 2x < -3

Add 3 to both sides

-3 + 3 - 2x < -3 + 3

-2x < -3 + 3

-2x < -3 + 3

-2x < 0

Next, divide both sides by -2

-2x/-2 >  0/2

x > 0/2

x > 0

Therefore, the solution to the inequality is x > 0.

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15

PLEASE LOOK AT THE ATTACHMENT

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The amount that Roxanne should deposit at the beginning of each 3 months to accumulate $134,000 at 4% compounded quarterly for three years is $10,461.13.

The quarterly deposit can be computed using an online finance calculator with the following parameters.

The quarterly deposit shows the periodic investment that must be made to accumulate a future value of $134,000.

N (# of periods) = 12 quarters (3 x 4)

I/Y (Interest per year) = 4%

PV (Present Value) = $0

FV (Future Value) = $134,000

Results:

PMT (periodic deposits) = $10,461.13

Sum of all periodic deposits = $125,533.56

Total Interest = $8,466.44

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Step-by-step explanation: the awnser is 70 because 69 and 71 is in the outside of 70 therefore it's 70 there u go

Answer:

One dot mark above one hundred and thirty-six. A) 92, 88, 100, 136, 106, 79, 88, 86, 98, 115. B) 92, 88, 100 ...

Step-by-step explanation:

Answer:

0.0462 ± 2.131(0.01565)

Step-by-step explanation:

The confidence interval for the slope, :

Slope Coefficient = 0.0462

Slope Coefficient ± Margin of error

Margin of Error = Tcritical * standard error

Standard Error (rotation) = 0.01565

We use T distribution, because sample size is small ; n = 16

Tcritical at 95% ; df = n - 1 = 16 - 1 = 15

Tcritical(0.05, 15) = 2.131

Hence,

Margin of Error = 2.131(0.01565)

Slope Coefficient for rotation = 0.0462

95% Confidence interval :

0.0462 ± 2.131(0.01565)

The 95% confidence interval for the slope of the regression line is 0.0462 ± 0.0333 or (0.01284, 0.07955)

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

Slope coefficient = 0.0462

Slope coefficient ± Margin of error

The margin of error will be given as

[tex]\rm Margin \ of \ error = T_{critical} \times standard \ error[/tex]

Standard error = 0.01565

We use T distribution because the sample size is small

[tex]\rm n = 16 \\\\T_{critical} \ at \ 95\% \ ; df = n-1 = 16- 1 = 15\\\\T_{critical} \ (0.05, 15) = 2.131[/tex]

Then we have

Margin of error = 2.131 × 0.01565

Margin of error = 0.0333

Then the 95% confidence interval will be

0.0462 ± 0.0333

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