Given a sample mean or proportion identify the range of possible values that best describes an estimate for the population mean or proportion:

Answer:

you see

Step-by-step explanation:

Answer: True

Step-by-step explanation:

We can simplify each of the expressions on either side to see if they are equal.

Left side: -5+7=7-5= 2

Right side: 7+-5=7-5= 2

Yes, they are equal.

Answer:

True.

Step-by-step explanation:

Answer:

hey what don't u get? u didn't show the question

The equation of the parabola y = 2x² - 8x + 13 in vertex form is y = 2(x - 2)² + 5.

An equation is a formula that links two statements and uses the equals sign (=) to indicate that the statements are equivalent. A mathematical statement proving the equality of two algebraic expressions is called an equation. For instance, the equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14. The relationship between the two sentences that appear on opposing sides of a letter is expressed mathematically. The single variable and the symbol are typically the same. Like 2x - 4 Equals 2, for example.

To write the equation of a parabola in vertex form, we use the formula:

y = a(x - h)² + k

Where (h,k) is the vertex of the parabola and "a" is a constant that determines the shape of the parabola. To convert the equation y = 2x² - 8x + 13 to vertex form, we need to complete the square.

First, let's factor out the leading coefficient of 2:

y = 2(x² - 4x) + 13

Next, we need to add and subtract a constant inside the parentheses to complete the square. To determine this constant, we take half of the coefficient of x, square it, and add it inside the parentheses:

y = 2(x² - 4x + 4 - 4) + 13

y = 2((x - 2)² - 4) + 13

Now we can simplify and write the equation in vertex form:

y = 2(x - 2)² - 8 + 13

y = 2(x - 2)² + 5

Therefore, the equation of the parabola y = 2x² - 8x + 13 in vertex form is y = 2(x - 2)² + 5.

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The complete question is:

The equation of the parabola is y = 2x² - 8x + 13. Its vertex form is ______________.

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:Here, a=3, b=-10 and c=2. Substitute the values, Therefore, the discriminant of is 76.

Step-by-step explanation:

Answer:

8,500 packs

Step-by-step explanation:

850,000/100 = 8,500

Answer:

Segment

Step-by-step explanation:

Its only part of the line.

Answer:

The answer is ray

Step-by-step explanation:

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given value:

\(\to f_X (x) \ \ xe^{-x} \ , \ x>0\)

For point a:

Moment generating function of X=?

Using formula:

\(\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx\)

\(M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx\)

integrating the values by parts:

\(u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\\)  

        \(= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\\)

Therefore, the moment value generating by the function is \(=\frac{1}{(t-1)^2}\)

In point b:

\(E(X^n)=?\)

Using formula: \(E(X^n)= M^{n}_{X}(0)\)

form point (a):

\(\to M_{X}(t)=\frac{1}{(t-1)^2}\)

Differentiating the value with respect of t

\(M'_{X}(t)=\frac{-2}{(t-1)^3}\)

when \(t=0\)

\(M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\\)

\(M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\\)

Step-by-step explanation:

let the number be x

the equation be = 15x-7

hope it helps

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The amount of the first payment that will go towards interest is $7.50.

The answer is B. $7.50.

To calculate the amount of the first payment that will go towards interest for an installment loan, we need to consider the principal, term length, and interest rate.

Given:

Principal: $1500.00

Term Length: 4 years

Interest Rate: 6%

Monthly Payment: $35.00

To find the amount of interest paid in the first payment, we'll first calculate the total interest paid over the entire term and then divide it by the number of payments.

Calculate the total interest paid over the term.

Total Interest = Principal × Interest Rate × Term Length

Total Interest = $1500.00 × 6% × 4 = $360.00

Divide the total interest by the number of payments.

Interest in the First Payment = Total Interest / Number of Payments

Interest in the First Payment = $360.00 / (4 years × 12 months per year)

Interest in the First Payment = $360.00 / 48

Interest in the First Payment = $7.50

Therefore, the amount of the first payment that will go towards interest is $7.50.

The answer is B. $7.50.

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The solution of the equation N = for the variable d in terms of the variables; N and f as required in the task content is; d = N - f.

It follows from the task content that the equation; N = f + d be solved for the variable d in terms of the variables; N and f.

Since the equation given is;

N = f + d.

In a bid to isolate d; subtract f from both sides of the equation; so that we have;

N - f = d.

Ultimately, the solution of the equation N = for the variable d in terms of the variables; N and f as required in the task content is; d = N - f.

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Answer:

61.75

Step-by-step explanation:

1900x0.03x1.08333333=61.75

Answer: 0.75 appex

Step-by-step explanation:

The sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

The formula for finding the confidence interval for population standard deviation as follows:

\(\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}\)

Where s is the standard deviation.

n is the sample size.

\(\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}\) are the constant based on the Chi-Square distribution table:

α is the significance level.

σ is the confidence interval for population standard deviation.

Calculating the confidence interval for population standard deviation:

We know significance level = 1 - confidence level

From the data the margin of error = (0.78 - 0.72)/2

MOE = 0.03

98% Confidence interval for a sample proportion:

n - 0.03 = 0.72

n + 0.03 = 0.78

The interval is (0.72, 0.78)

The sample proportion = 0.75

Thus, the sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

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The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer:

Two negatives = positive (17)

Step-by-step explanation:

Answer:

Today: Wednesday, 14 October 2020

Hour: 12.58 WIB

______________________________

-68 divinded (-4) is 17

Answer:

100 x 71.5

Step-by-step explanation:

easy question just use ur head

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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A method of notation in which digits are divided into groups of three by commas is known as the standard form of a number.

When a number has three digits, these groups are termed periods?

The periods are separated by commas.

Large numbers have three spots between each group of digits. Periods are the names of the groups.

The periods are typically separated by commas.

number follows 100000 and 100001

nonetheless, does not include decimals, negative integers, or fractions. Let's first express the quantity in numerical form, so 100,000 represents 100,000. The next whole number after 100,000 is the one obtained by adding 1 to the previous amount. As a result, 100000 + 1 Equals 100001, the following whole number.

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Answer:

p = 3 and q = 7

Step-by-step explanation:

Given the equation x^2 + 6 x − 2 = ( x + p )^2 + q we are to find the value of p and the value of q .

x^2 + 6 x − 2 = ( x + p )^2 + q

Using the completing the square method on x^2 + 6 x − 2

x^2 + 6 x − 2

= x^2+6x+ 9 - 2 + 9

= (x^2+3x+3x+9)+7

= x(x+3)+3(x+3) + 7

= (x+3)(x+3)+7

= (x+3)^2+7

Compare to the right hand side

(x+3)^2+7 =  ( x + p )^2 + q

p = 3 and q = 7

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

Answer:

2/15

Step-by-step explanation:

(Check the picture, hope this helped)

Answer:

14/105

Step-by-step explanation:

7 times 4 is 28

10 times 21 is 210

You get 28/210

Now simplify

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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Answer:-12 and -25

Step-by-step explanation:

Answer: 3 and -12

Step-by-step explanation:

I used this

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The inequality graphed on the number line can be written as:

-3 ≤ x < 2

Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3

A closed circle means that x = -3 is a solution.

And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.

Then the inequality thati is shown in the number line is written as:

-3 ≤ x < 2

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Letters are

No repetitions

Distinct permutation:-