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Answer:

For the sampling distribution,

a) Mean = μₓ = 55.0 students.

b) Standard Deviation = 1.8 students.

Step-by-step explanation:

The complete Question is attached to this solution.

The Central limit theorem explains that for the sampling distribution, the mean is approximately equal to the population mean and the standard deviation of the sampling distribution is related to the population standard deviation through

σₓ = (σ/√n)

where σ = population standard deviation = 4

n = sample size = 5

Mean = population mean

μₓ = μ = 55 students.

Standard deviation

σₓ = (σ/√n) = (4/√5) = 1.789 students = 1.8 students to 1 d.p

Hope this Helps!!!

Answer:

10 n = 50-2

10n = 50

n = 50÷ 10

n =5

Answer:

12,775.00, since the government is responsible for the interest on the loan that accrues before Claude starts making payments

Step-by-step explanation:

APEX

Final answer:

To find out how much Claude will owe after 15 months of deferment on his student loan, we use the formula for future value with compound interest, considering the loan amount, annual interest rate, and compounding period. The future value is calculated as $14,389.49, which is the amount he will owe when he starts repayment.

Explanation:

To calculate the amount Claude will owe when he begins making payments on his subsidized student loan, we need to apply the formula for the future value of a loan with compound interest.

The loan has a principal amount of $12,775, an annual interest rate of 9.6% compounded monthly, and no payments will be made for a period of 15 months (the deferment period).

The future value FV of the loan after t periods of compounding at an interest rate of r per period can be calculated by the following formula:

[tex]FV = PV (1 + r)^t[/tex]

Where:

First, we convert the APR to a monthly interest rate:

Monthly interest rate = APR / 12 = 9.6% / 12 = 0.8% = 0.008

Now we calculate the future value after 15 months:

FV = $12,775 × (1 + 0.008)¹⁵

FV = $12,775 × (1.008)¹⁵

Using a calculator, we find:

FV ≈ $12,775 × 1.1262 ≈ $14,389.49

Therefore, Claude will owe approximately $14,389.49 when he begins making payments.

Final answer:

To find the current year's average temperature of Kopikoville, add the increase of 10°C to last year's temperature of -19°C, which results in an average temperature of -9°C for this year, making the correct answer option A.

Explanation:

The question asks to determine the current year's average temperature of Kopikoville based on the last year's average temperature and the change that occurred this year. To calculate this, we consider last year's average temperature of Kopikoville, which was -19°C, and we add the increase in temperature this year, which was 10°.

We perform a simple addition: -19°C + 10°C, which equals -9°C. Thus, this year's average temperature of Kopikoville is -9°C. The correct answer is option A.

Final answer:

To convert 2447457.62712 into standard form, write it in scientific notation as 2.447457 × 10^5.

Explanation:

To convert 2447457.62712 into standard form, we need to write it in scientific notation. In scientific notation, a number is written as the product of a decimal number between 1 and 10, and a power of 10.

First, count the number of decimal places in the original number. In this case, there are 5 decimal places.

Next, move the decimal point 5 places to the left to create a number between 1 and 10. The result is 2.447457.

Finally, write the number in scientific notation by multiplying it by 10 raised to the power of the number of decimal places. In this case, the power of 10 is 5, so the scientific notation of 2447457.62712 is 2.447457 × 105.

The mixed fraction number 1 5/8 is equivalent to the decimal number 1.625.

The equivalent is the expression that is in different forms but is equal to the same value.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The mixed fraction is converted into a fraction number.

1 5/8 = 13/8

Convert the fraction number into a decimal number. Then we have

13/8 = 1.625

The mixed fraction number 1 5/8 is equivalent to the decimal number 1.625.

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Final answer:

1 5/8 is equivalent to the decimal 1.625. To find this, one must convert the fraction 5/8 to its decimal form, 0.625, and then add it to the whole number 1.

Explanation:

The decimal equivalent to 1 5/8 is found by converting the fraction 5/8 to a decimal and adding it to the whole number 1. The fraction 5/8 is equivalent to 0.625 when converted to decimal form. Therefore, when you combine 1 with 0.625, the result is 1.625.

To convert 5/8 to decimal, divide 5 by 8, which equals 0.625. This process is similar to using the reciprocal to multiply, as discussed in the context of 1/8 being a '125–like' number. In this case, divide by 8 rather than multiply.

Answer:

 =12.56 ft^2

Step-by-step explanation:

First we need to find the radius

r = d/2 = 4/2 =2

Then we can find the area

A = pi r^2

   = pi ^ 2^2

   = 4pi

   = 4*3.14

   =12.56 ft^2

Answer:

12.56 ft²

Step-by-step explanation:

Radius = 4/2 = 2 ft

Area = 3.14 × 2²

= 12.56 ft²

Answer:

50 cents

Step-by-step explanation:

Let Penny = p and Nickel = n

Given:

Comparing the two:

Total money in the jar:

Answer:87.5

Step-by-step explanation:

Answer:

87.5%

Step-by-step explanation:

To calculate the percentage of 7/8

It will be

7/8×100

700/8

87.5%

So the final answer to the given question is 87.5%

Answer:

3.59

Step-by-step explanation:

-×-=+

-2.31+5.9

=3.59

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Answer:

-19

Step-by-step explanation:

To solve this plug 3 in for x.

Hope this will help u...

Answer:

Multiply the t and 6 which equals 36 so now

it is 36t -20-192t now evaluate it

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The correct option is C, as the pairs in this option are the inverse of the ordered pairs given in the original function. It's important to remember that in an inverse function, the x and y values of the original pairs are swapped.

To answer this question correctly, it's important to understand what an inverse function is. In a function, we have pairs of values where the first value is the input (or x-value) and the second value is the output (or y-value). When we talk about the inverse function, we simply swap these pairs. That is, if (a, b) is in the function, then (b, a) is in the inverse function.

Considering this fact, we can determine the answer by looking for the option in which the y-value in the original pair becomes the x-value and vice versa. Given that, option C is the correct answer: (12,-2), (9, -1), (6,0), (3, 1), (0,2). This is because they are the inverse pairs of the original table of values.

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Answer:

1/2x^2 -3

Step-by-step explanation:

The first equation is 1/2x^2 + 1 and since this equation is the first one minus 4 1-4= -3 so you would get this new equation.

Answer:

C. His answer is correct because 12 + 1 = 13 and 15 + 10 = 25.

Step-by-step explanation:

Final Answer:

The equivalent fraction for the given model with colored pieces representing parts of the whole is 3/4.

Explanation:

In the provided model, there are three colored pieces out of a total of four. To determine the equivalent fraction, we look at the ratio of the colored pieces to the total number of pieces. Since there are three colored pieces and four pieces in total, the equivalent fraction is 3/4. This fraction represents the relationship between the colored parts and the whole, where the numerator (3) indicates the number of colored pieces, and the denominator (4) represents the total number of pieces in the model.

The process of finding equivalent fractions involves identifying a fraction that represents the same part-to-whole relationship. In this case, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor. However, in this instance, 3/4 is already in its simplest form, as 3 and 4 do not have a common factor other than 1. Therefore, the equivalent fraction remains 3/4.

Understanding fractions is essential in various mathematical concepts and real-world applications. They represent parts of a whole and are crucial in areas such as geometry, probability, and everyday calculations. In this scenario, the fraction 3/4 precisely captures the proportion of colored pieces in the given model, providing a clear and concise representation of the relationship between the highlighted elements and the entirety of the model.

Answer:

Step-by-step explanation:

hello :

3x − 2y = −9 ...(*)

4x + 3y = 22...(**)

multiply (*) by 3 and(**) by 2    you have : 9x-6y = -27

                                                                  8x+6y =44

add this equations : 17x = 17    so : x=1

put this value in : 8x+6y=44

  8(1)+6y=44

6y=36

y=6

one solution : (1 ; 6)

Answer:0

Step-by-step explanation:

0+0

The piecewise function f(3) evaluates to -11.

To evaluate f(3) for the given piecewise function,  to determine which rule applies to the input value of 3.

Looking at the piecewise function:

f(x) = { (3x/2) + 8, x < -6

(-3x - 2), -4 ≤ x ≤ 3

(4x + 4), x > 3 }

Since 3 falls within the range -4 ≤ x ≤ 3, the second rule (-3x - 2) is applicable.

Plugging in x = 3 into the second rule,

f(3) = -3(3) - 2

= -9 - 2

= -11

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Answer:

132 square cm = 20.46 square inches

Step-by-step explanation:

Total surface area = area of base (square) + 4 x area of one triangle.

[tex] = {6}^{2} + 4 \times \frac{1}{2} \times 6 \times 8 \\ = 36 + 2 \times 48 \\ = 36 + 96 \\ = 132 \: {cm}^{2} \\

= 20.46\: inches^2 [/tex]

YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT

By using exterior angle theorem of triangle, Angle A is <A = [tex]47^{0}[/tex]

"If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles is known exterior angle theorem."

By using Exterior angle theorem

<A + <D = [tex]100^{0}[/tex]..............(1)

From the figure we can find <D

<D = [tex]180^{0}-127^{0}[/tex]

⇒ <D = [tex]53^{0}[/tex]

Substituting <D in equation (1)

<A + <D = [tex]100^{0}[/tex]

⇒ <A + [tex]53^{0} = 100^{0}[/tex]

⇒ <A = [tex]100^{0}-53^{0}[/tex]

⇒ <A = [tex]47^{0}[/tex]

From the straight line in the figure, we can write using exterior angle theorem

<A + <B = [tex]180^{0}[/tex]

⇒ <B = [tex]180^{0} -47^{0}[/tex]

⇒ <B = [tex]133^{0}[/tex]

Thus, By using exterior angle theorem of triangle, <A = [tex]47^{0}[/tex]

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Answer:B

Step-by-step explanation:

14x-(2x+y)

14x-2x-y

12x-y

Answer:

4.6

Step-by-step explanation:

[tex]\frac{x}{8}=\frac{23}{40}[/tex]

x*40=40x

23*8=184

40x=184

x=4.6

Answer:

x = 23/5 = 4.600

Step-by-step explanation:

Step  1  :

Simplify  23/40

x/8 - 23/40 =0

Step  2  :

Simplify x/8

x/8 - 23/40 = 0

 Find the Least Common Multiple

     The left denominator is :       8  

     The right denominator is :       40  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 3 3 3

5 0 1 1

Product of all  

Prime Factors  8 40 40

     Least Common Multiple:

     40 to be continued

Answer:

You can increase by 100% and more of the price in something but you can never decrease more than 100% of something.

Step-by-step explanation:

If you have something that costs 8 dollars to begin with then all of the sudden it costs 20 dollars, it increased by 150%. 8 is 100$ of 8, 4 is 50% of 8. 8+4=12. 12+8=20. The price began at 8 then increased by itself plus half of it which is 12.

IF you decrease the price by 150% it'll be -20 dollars. You cant physically have negative amount of money.

Answer:

The goals are to feed the world, to develop better foods, and to fight disease

Step-by-step explanation:

Step-by-step explanation:

Subtract 130-120 which is 10.

Answer:

To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.

The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)

We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.

Answer:It would be 3 even tho it gives 4407

Step-by-step explanation:

Answer

1. 8x

2. 12x - 3y

12x-3y

12+-3y

Answer:

8x

and

12x-3y

Hope this helps!

Answer:

Ok, I got 4.176 x [tex]10^{15}[/tex]

Step-by-step explanation: