14. what is the expected number (mean) of left-handed students in the random sample of 400?
answer choices:
a. 10
b. 40
c. 70
d. 360

The monthly payment amount is $217.42 and the finance charge is $413.02.

The payment amount and finance charge can be found by using the formula below

Payment amount formula: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

Finance charge formula: Finance charge = Total payment - Loan amount

Where P = Loan amount

R = Interest rate per period

N = Number of periods

Given that a loan is made for $4800 with an APR of 12% and payments made monthly for 24 months

Therefore,P = $4800R = 12% / 12 = 1% per month

N = 24

Using the Payment amount formula above: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

PMT = ($4800 x 0.01 x (1 + 0.01)^24) / ((1 + 0.01)^24 - 1)

PMT = $217.42

Hence, the monthly payment amount is $217.42 (rounded to two decimal places).

Using the finance charge formula above: Finance charge = Total payment - Loan amount

Total payment = Payment amount x Number of periods

Total payment = $217.42 x 24 = $5213.02

Finance charge = $5213.02 - $4800

Finance charge = $413.02

Hence, the finance charge is $413.02 (rounded to two decimal places).

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Explanation is in the file

tinyurl.com/wpazsebu

Answer:

The answer is A: Yes 1/4 is the constant property.

This is because the x ration to y is 3 to 12. So we divide 12 by 3 to get our answer which is 4. That is equivalent to 1/4 since we divided.

I hope this helps and if it did pls give me brainliest!

Step-by-step explanation:

Answer:

D: no its not porpoottional

Step-by-step explanation:

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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Step-by-step explanation:

The change fro 225 to 320 is 95

95 is what percentage of 225?

95/225 x 100% = 42.2% increase

Answer:

38

Step-by-step explanation:

180 - (90 + 52)

180-142= 38

The annual percentage rate of depreciation of the number of rhinos represented by the statistics is approximately 6.41 %

The rate of depreciation is the rate at which the number or value of an item reduces within each specified period.

The initial number of black rhinos in 1970 = 60,500

The number of black rhinos remaining in 2011 = 4,000

The annual rate of depreciation can be found using the formula;

Where;

FV = The future value = 4,000

PV = The present value = 60,500

r = The annual depreciation rate

n = The number of years

\(4,000 = 60,500 \times \left(1+\dfrac{r}{100} \right)^{(2011-1970)}=60,500 \times \left(1+\dfrac{r}{100} \right)^{41}\)

\(\left(1+\dfrac{r}{100} \right)^{41} = \dfrac{4000}{60500} = \dfrac{8}{121}\)

\(r = 100\times \left(\sqrt[41]{ \dfrac{8}{121}} - 1\right) \approx -6.41\)

The annual rate of depreciation is approximately 6.41%

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

The algorithm performs a multiplication operation n+1 times.

The given algorithm evaluates the polynomial f(x) = a0 + a1x + ... + anx^n at s.

To determine how many times the algorithm performs a multiplication operation, let's analyze the code:

1. Initialize variables: out = 0, m = 1, k = 0
2. Enter the while loop: check if k is less than or equal to n
3. If condition is true, execute the loop body:
  - Perform multiplication: out = out + ak * m
  - Update m: m = sm (multiplication)
  - Update k: k = k + 1 (addition)
4. Repeat steps 3-4 until the condition in step 2 is false
5. Once the condition is false, exit the loop
6. Return the value of out

Since the only multiplication operation in the loop is performed in step 3, the algorithm performs a multiplication operation (ak * m) n+1 times. This is because the loop iterates from k = 0 to k = n (inclusive).

Therefore, the algorithm performs a multiplication operation n+1 times.

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Answer:P= 16 + 2\|65 units; A= 56 units2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(x + 4) - 5 = 2x + 4

solve for x

x = -3

The illegal radio station from monitoring stations A and B is 33.49 miles and 27.03 miles respectively.      

As the graph triangle shows

∠CAB = 90° - 48° = 42°

∠CBA = 90° - 34° = 56°

So ∠ACB = 180° - ∠CAB - ∠CBA

               = 180° - 42° - 56°

               = 82°

AC/ sin ∠CBA = BC/ sin ∠CAB = AB/ sin ∠ACB

         AC = AB sin  ∠CBA / sin ∠ACB

              = 40 × sin 56°/ sin 82°

               = 33.49 miles

A mile is defined as the unit of length, which is exactly equal to 5280 feet, or 1760 yards, and standardized as exactly 1609.344 meters by the International agreement in 1959.

        BC = AB sin ∠CAB /sin ∠ACB

              = 40 × sin 42°/ sin 82°

              = 27.03 miles  

The illegal radio station from monitoring stations A and B is 33.49 miles and 27.03 miles respectively.

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The probability that the next customer to enter the shop will order a cookie is given as follows:

31/60.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes in which a cookie is ordered are given as follows:

Hence the probability is obtained as follows:

3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.

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The square root of 17 is 4.123. Therefore, 1 √17 = 1 × 4.123 = 4.123.

What is square root ?

square root of quite a number is a price, which on multiplication through itself, gives the authentic number. The square root is an inverse approach of squaring a number. consequently, squares and rectangular roots are associated principles.

suppose x is the square root of y, then it is represented as x=√y, or we can specific the same equation as x2 = y. right here, ‘√’ is the unconventional image used to symbolize the foundation of numbers. The fine quantity, whilst extended by way of itself, represents the rectangular of the number.

The square root of the square of a positive range offers the unique quantity.

Now, 17^2 · 17^-5 = 17^2 - 5 = 17^-3 = 1 / 17^3

Solve 17²⁰¹⁷ - 17  is?

17²⁰¹⁷-17

= 17²⁰¹⁷×1

= 17²⁰¹⁷

Therefore, The square root of 17 is 4.123. Therefore, 1 √17 = 1 × 4.123 = 4.123.

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The sumerian mathematical system was based on units of sixty, ten, and six and survives in what modern system time measurement.

Sumer (a region of Mesopotamia, present-day Iraq) is sometimes referred to as the Cradle of Civilization because it was the origin of writing, the wheel, agriculture, the arch, the plow, irrigation, and many other accomplishments.

We really know more about ancient Sumerian and Babylonian mathematics than we do about early Egyptian mathematics because the Sumerians invented the first known writing system, the pictographic cuneiform script, which uses wedge-shaped symbols engraved on baked clay tablets. In fact, we even have math and geometry problems that seem like school exercises.

The base number 60 was created by adding a "celestial" 6 and a "common" 10 in the Sumerian "sexagesimal" system.

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The chi-square goodness-of-fit test can provide important information about whether the observed data significantly deviates from the expected distribution, which categories or bins contribute to the deviation, and the overall goodness-of-fit of the data to the expected distribution.

The chi-square goodness-of-fit test is a statistical test used to determine if a sample of data comes from a population with a specific distribution. Specifically, the test compares the observed frequencies of data in different categories or bins with the expected frequencies of data in those categories based on a hypothesized distribution.

It can determine whether the observed data significantly deviates from the expected distribution. If the test results in a p-value less than the chosen level of significance, it indicates that the observed data significantly deviates from the expected distribution, and the null hypothesis (that the data follows the expected distribution) can be rejected.

It can identify which categories or bins contribute the most to any significant deviation. The test statistic and associated p-value can help to identify which categories or bins show significant differences between the observed and expected frequencies.

It can provide information on the overall goodness-of-fit of the data to the expected distribution. The test statistic provides a measure of the overall goodness-of-fit, with higher values indicating greater deviation from the expected distribution.

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Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

The length of KI is 10 cms.

The skill of measuring the lengths of objects and understanding the units of length is very crucial as it helps us to interact with our environment in a more organized manner.

Here, ΔRJS ≈ Δ IJK

then JR / JI = SR/KI

         1/2   =5 /ki

         kI = 5 X 2

        kI = 10 units.

Thus, The length of KI is 10 cms.

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we have that

16 cars represent the 100%

so

Applying proportion find out how much percentage represents the difference (56-16)=40 cars

100/16=x/40

solve for x

x=(100/16)*40

The Answer is 95 miles using distance rule of maths.

What is distance in math?

As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

So if we mark their position in x-y plane. one is not x line and another one is in y line.

So the coordinates of the points are (57,0) and (0,76)

The distance between them is √(y²+x²)

= √(57²+76²)

=√ (3249 + 5776)

= 95 miles

Hence the distance between them is 95 miles.

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Hello!

As we can see, our a value, which would be the coefficient of \(x\), which determines our slope, is negative, meaning that this whole line is negative.

Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.

If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.

\(7(\frac{9}{4}x- \frac{18}{7})= -\frac{5}{21} +\frac{17}{7}x <=> \frac{63}{4}x-18 =-\frac{5}{21}+ \frac{17}{7}x\\ <=>\frac{63}{4}x - \frac{17}{7}x = 18-\frac{5}{21}<=>\frac{373}{28} =\frac{373}{21} <=>x=\frac{4}{3}\)

ok done. Thank to me :>

Answer:

D. 9 is the correct answer

Step-by-step explanation: they use 3 + 6 to get up the same amount as they did once so your going up twice so do 3 + 6 (9) twice to get to BC.

Answer:

a) Call-more is cheaper

b) 60 minutes

Step-by-step explanation:

Call-More: C = 0.40t + 25

Talk-Now:  C = 0.15t + 40

a) Substitute t =  50 minutes in the above equations.

Call-More:

         C = 0.40*50 + 25

            = 20 + 25

        C = 45

 Talk-Now:

          C = 0.15*50 + 40

              = 7.5 + 40

          C  = 47.40

Company Call-more is cheaper than Talk-now.

b) We have to find the conditions under what condition the two companies charge the same.

    Charge of company Call-more = charge of company Talk-now.

                  0.40t + 25 = 0.15t + 40

                            0.40t = 0.15t + 40 -25

                            0.40t = 0.15t + 15

                 0.40t - 0.15t = 15

                             0.25t = 15

                                     \(\sf t = \dfrac{15}{0.25}\\\\ t = \dfrac{15*100}{25}\\\\\)

                                     t = 15*4

                                     t = 60 minutes

Two companies charge the same for 60 minutes.

Answer:

b

Step-by-step explanation:

Answer:321311

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Step-by-step explanation:

grsbrgbrtBBERQWQFF

Answer:

8978 grams

Step-by-step explanation:

The equation to find the half-life is:

\(N(t)= N_{0}e^{-kt}\)

N(t) = amount after the time t

\(N_{0}\) = initial amount of substance

t = time

It is known that after a half-life there will be twice less of a substance than what it intially was. So, we can get a simplified equation that looks like this, in terms of half-lives.

\(N(t)= N_{0}e^{-\frac{ln(\frac{1}{2}) }{t_{h} } t}\) or more simply \(N(t)= N_{0}(\frac{1}{2})^{\frac{1}{t_{h} } }\)

\(t_{h}\) = time of the half-life

We know that \(N_{0}\) = 35,912, t = 14,680, and \(t_{h}\)=7,340

Plug these into the equation:

\(N(t) = 35912(\frac{1}{2})^{\frac{14680}{7340} }\)

Using a calculator we get:

N(t) = 8978

Therefore, after 14,680 years 8,978 grams of thorium will be left.

Hope this helps!! Ask questions if you need!!

8,978 grams of thorium will be left, after 14,680 years.

The time required for half of the atoms of a radioactive substance to become disintegrated.

Given that, A radioactive thorium element is 35,912 grams and have the half-life is 7,340 years,

The formula to calculate the half life is;

N(t) = N₀e⁻ˣ

N(t) = amount after the time t

N₀ = initial amount of substance

x = time

Putting the values,

N(t) = 35912(1/2)¹⁴⁶⁸⁰/₇₃₄₀

N(t) = 8978

Hence, 8978 thorium will be left.

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Answer:

60

Step-by-step explanation:

1/3 of 180 is 60...bshsjka

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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