Find the value of x and y.

Answer:

You got it, I have been busy and I am glad to see someone feeling the same way as me!

Answer:

what the question

Step-by-step explanation:

a) We need a sample size of 96 for each group to estimate μ1 - μ2 with a sampling error of 3.2 and 95% confidence, given that σ1 = 15 and σ2 = 17. b) We need a sample size of 405 for each group to estimate μ1 - μ2 with a sampling error of 8 and 99% confidence, given that the range of each population is 60.

a) For a 95% confidence interval and a sampling error of 3.2, the formula for the margin of error is:

ME = z* (σ/√n)

where z* is the z-score corresponding to a 95% confidence level, σ is the common standard deviation (assumed to be the average of σ1 and σ2), and n is the sample size for each group.

Rearranging the formula to solve for n, we get:

n = (z* σ / ME)²

Substituting z* = 1.96 (from the z-table for a 95% confidence level), σ = (15 + 17) / 2 = 16, and ME = 3.2, we get:

n = (1.96 × 16 / 3.2)² = 96.04

Since we need to estimate μ1 - μ2, we need the same sample size for both groups, so n1 = n2 = 96.

Therefore, we need a sample size of 96 for each group to estimate μ1 - μ2 with a sampling error of 3.2 and 95% confidence, given that σ1 = 15 and σ2 = 17.

b) For a 99% confidence interval and a sampling error of 8, the formula for the margin of error is still:

ME = z* (σ/√n)

where z* is the z-score corresponding to a 99% confidence level, σ is the common standard deviation (assumed to be the same for both populations), and n is the sample size for each group.

Since the range of each population is 60, the standard deviation of each population can be estimated as:

σ = range / (2 × z*)

where z* is the z-score corresponding to a 99% confidence level, which is 2.58.

Substituting σ = 60 / (2 × 2.58) = 11.56, ME = 8, and z* = 2.58 into the formula for the margin of error, we get:

8 = 2.58 × (11.56 / √n)

Solving for n, we get:

n = ((2.58 × 11.56) / (8 / √n))²

Simplifying and solving for n, we get:

n = 405.62

Since we need the same sample size for both groups, we need n1 = n2 = 405.

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Answer:

1/3

Step-by-step explanation:

y intercept is b in the equation y = mx + b so, 1/3 is b.

Firstly, we will need to try the following options one after the other in order to ascertain our answer

The first option

To find the distance between two points

Distance = Higher number - Lower number

-3 - 20

= - 23

This is very wrong because it has a negative sign

The second option

7 - (-16)

In mathematics, - x - = +

7 + 16

7 + 16 = 23

The answer is OPTION B

Answer:

impossible, it is very unlikely/ impossible if it is a 0.13 percent

The probability of 0.13 is very unlikely thus approx impossible thus option (B) will be correct.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

The probability scale ranges from 0 to 1.

0 → Impossible

0.5 → Equal likely

1 → Certain

The probability ranges between 0 and around 0.15 and can be considered impossible.

Hence "The probability of 0.13 is very unlikely thus approx impossible".

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The height of this cylinder is equal to 21.0 meters.

In Mathematics and Geometry, the surface area (SA) of a cylinder can be calculated by using this mathematical equation (formula):

Surface area of a cylinder, SA = 2πrh + 2πr²

Where:

By substituting the given parameters into the formula for the surface area (SA) of a cylinder, we have the following;

Surface area = 2πrh + 2πr²

3078.76 = 2(3.14)(14)(h) + 2(3.14)(14²)

3078.76 = 87.92h + 1230.88

87.92h = 3078.76 - 1230.88

Height, h = 21.0 meters.

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Answer:

no

Step-by-step explanation:

They are not the same because in the first example: (2,3) the 2 is on the x axis and 3 is on the y axis

In the second example: (3,2) the 3 is on the x axis and the 2 is on the y axis. Therefore the two points are not the same

Answer:

218750

Step-by-step explanation:

Divide 70,000,000,000 by 320,000,000.

Answer:

B

Step-by-step explanation:

The correct answer was B) "Wastage of good food is an environmental hazard that needs to be stopped. By using proper measures to stop wastage of good food, we can help save resources and the environment."

Answer:

thanks for the points have a nice day

Answer:

17.50

Step-by-step explanation:

20% of x = 3.50

(20/100) x = 3.50 Devide top buttom

of the left number by 20

(20÷20) / (100÷20) * x = 3.50

(1/5) x =3.50 multiply both sides by 5

x =3.50 * 5

x = 17.50 the meal cost 17. 50

Thank you

Answer:

Part A: The tax was 8% is not needed

Part B: the total bill was $10.35

Step-by-step explanation:

Hope this helped! (I got it wrong just to get the answer for you guys <3)

We can rewrite the first expression into the second one, so we conclude that the two are equivalent.

Let's start with the left one, and try to get to the right one.

Remember the properties:

(a^n)^m = a^(n*m)

√a = (a)^(1/2)

Now, the first expression is:

(p^2*n^(1/2))^8*√(p^5*n^4)

The left side of that expression can be rewritten as:

(p^2*n^(1/2))^8 = (p^(2*8)+n^(8/2)) = (p^16*n^4)

Now the right side can be rewritten as:

√(p^5*n^4) = (p^5*n^4)^(1/2) = p^(5/2)*n^(4/2) = p^(5/2)*n^2

Then our expression becomes:

(p^16*n^4)*p^(5/2)*n^2

Now, remember that exponents of the same base just add eachother, then:

(p^16*n^4)*p^(5/2)*n^2 = (p^16*p^(5/2))*(n^4*n^2)

= p^(16 + 5/2)*n^(4 + 2)

= p^(18 + 1/2)*n^6 = p^18*n^6*(p)^1/2 = p^18*n^16*√p

So, we started with one of the expressions, and we arrived at the other only rewriting the first one, which means that the two expressions are equivalent.

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Answer:

Step-by-step explanation:

Multiplication: To represent the total cost of purchasing a certain number of items at a specific price, you could use the expression "number of items * price per item". For example, if you want to find the total cost of buying 5 items that cost $10 each, the expression would be "5 * 10 = 50".

Division: To represent the number of slices of pizza each person will receive, you could use the expression "total number of slices / number of people". For example, if you have 12 slices of pizza and 4 people, the expression would be "12 / 4 = 3".

Addition: To represent the total distance traveled, you could use the expression "distance traveled in one direction + distance traveled in the other direction". For example, if you drive 10 miles to a location and then drive 20 miles back home, the expression would be "10 + 20 = 30".

Subtraction: To represent the change in temperature, you could use the expression "final temperature - initial temperature". For example, if the temperature starts at 72 degrees Fahrenheit and then drops to 55 degrees Fahrenheit, the expression would be "55 - 72 = -17".

Answer:

Photoreceptors

Step-by-step explanation:

This is the answer but I don't see it on there . . .

Question:This is a light sensitive tissue that lines the back of the eye

Answer: Retina

Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

Answer:

-65d - 55

Step-by-step explanation:

Given expression,

→ -5(13d + 11)

Simplifying the expression,

→ -5(13d + 11)

→ (-5 × 13d) + (-5 × 11)

→ -65d + (-55)

→ -65d - 55

Thus, answer is -65d - 55.

Therefore, the practical interpretation of the regression equation is only relevant in the range of values represented by the data.

The data given is for Credit Score and Probability of Default. A scatter plot with Credit Score as the independent variable and Home Equity as the dependent variable can be created.

Home Equity is represented by the letter Y and Credit Score is represented by the letter X. 

The regression equation for the line of best fit for the given data is

y = 78.0789 - 0.073x.

The slope of the regression line is -0.073, which means that there is a decrease in Home Equity as Credit Score increases.

The interpretation of the intercept is that there is no practical interpretation because it is not possible for a Credit Score or Home Equity to be zero.

Scatter Plot is a graph that shows the relationship between two sets of data. It is created with the help of points that are marked on a horizontal and vertical axis.

In the given data, a scatter plot with Credit Score as the independent variable and Home Equity as the dependent variable can be created.

Home Equity is represented by the letter Y and Credit Score is represented by the letter X.

The regression equation for the line of best fit for the given data is

y = 78.0789 - 0.073x.

The slope of the regression line is -0.073, which means that there is a decrease in Home Equity as Credit Score increases.

The interpretation of the intercept is that there is no practical interpretation because it is not possible for a Credit Score or Home Equity to be zero.

This is because zero Credit Score or Home Equity does not exist in reality, and thus, there is no practical meaning to the intercept term.

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Answer: 2304

Step-by-step explanation: 64 x 36 = 2304

Answer:

2,304 in.

Step-by-step explanation:

I attached a pic of my work.

Answer:

\(\large\boxed{\bf\:80000000 }\)

Step-by-step explanation:

\(\sf\: (20) ^ { 3 } \div 10 ^ { -4 }\)

According to the law of exponents ⟶ \(\bf\:a^{- \: b} = \frac{1}{a^{b}}\). Then,

\(\sf\:(20) ^ { 3 } \div 10 ^ { -4 } \\\sf\:= (20) ^ { 3 } \div \frac{1}{10^{4}}\\\sf\: = 20^{3} * 10^{4}\)

Now, by solving...

\(\sf\:20^{3} * 10^{4}\\\sf\:= (20 * 20 * 20) * (10 * 10 * 10 * 10)\\\sf\:= 8000 * 10000\\= \boxed{\bf\:80000000 }\)

_____________

Have a great day ahead!

a. The number of people that enjoyed only skiing is 129

b. The number of people that enjoyed snow boarding and ice skating only is 13

c. The number of people that enjoyed snow board or ice skating is 221

d. The number of people that enjoyed none is 35

e. The number of people that enjoyed at least two is 62

sets is a collection of well-defined objects or elements.

The total number of visitors is 350

n(ski and snow board only) = 49-2 = 47

n( ski and skating) only= 2-2 = 0

n( snow board and skating) = 15-2 = 13

n( snow board only) = 154-(47+13+2) = 92

n( skating only) = 57-(13+2) = 32

a. The number of that that enjoyed skiing only = 178-(47+2) = 129

b. n( skating and snow board) only= 13

c. n ( ski or snow board) only = 129+92 = 221

d. the number of people that didn't enjoy any = 350-(129+47+92+13+32+2)

= 350-315 = 35

e. the number of people that enjoyed at least two = 13+2+47 = 62

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Answer:

Step-by-step explanation:

Simple interest formula:

A = P(1 + rt)

   A = the future value of the investment/loan, including interest

   P = the principal investment amount (the initial deposit or loan amount

   I = Interest Amount

   r = Rate of Interest per year in decimal; r = R/100

   t = Time Period involved in months or years

P = $1000

r = 6% = 6/100 = .06

t = 20

A = P(1 + rt)

A = 1000(1 + (.06*20))

A = 1000 (1 + 1.2)

A = 1000 (2.2)

A = $2200

Compounded monthly:

A = P(1 + \(\frac{r}{n}\)\()^{nt}\)

   A = the future value of the investment/loan, including interest

   P = the principal investment amount (the initial deposit or loan amount)

   r = Rate of Interest per year in decimal; r = R/100

   n = the number of times that interest is compounded per unit t

   t = Time Period involved in months or years

P = $1000

r = 6% = 6/100 = .06

n = 12

t = 20

A = P(1 + \(\frac{r}{n}\)\()^{nt}\)

A = 1000 ( 1 + \(\frac{.06}{12}\) \()^{12*20}\)

A = 1000 (1 + .005\()^{240}\)

A = 1000 ( 1.005\()^{240}\)

A = 1000 (3.3102)

A ≈ $3310.20

The balance after 20 years will be 1,300,000cents

The balance in the account after 20 years if compounded monthly is 12,173,957,374cents

The formula for calculating simple interest is expressed as:

SI = PRT

P is the amount invested = $1000

R is the rate (in decimal) = 6% = 0.06

T is the time in years = 20 years

Get the simple interest

SI = 1000 * 0.6 * 20

SI = $12,000

The balance after 20 years will be $1,000 + $12,000 = $13,000

The compound amount formula is expressed as:

A = P(1 + r/t)^nt

A = 1000(1+0.6/12)^12(20)

A = 1000(1+0.05)^240

A = 1000(1.05)^240

A = 121,739,57374cents

Hence the balance in the account after 20 years is 12,173,957,374cents

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Barbara invested $7,000 in stocks.

Let's denote the amount Barbara invested in stocks as 'S' and the amount invested in bonds as 'B'. We know that the total investment is $10,000, so:

S + B = $10,000 (1)

She made an 18% profit on her stock investments and a 10% profit on her bond investments. Her combined profit was $1,560. So, the profit equation will be:

0.18S + 0.10B = $1,560 (2)

We need to find the value of 'S', which represents her investment in stocks. We can do this by solving these two equations simultaneously. From equation (1), we can express B in terms of S:

B = $10,000 - S

Now, substitute this expression for B into equation (2):

0.18S + 0.10($10,000 - S) = $1,560

Simplify the equation:

0.18S + $1,000 - 0.10S = $1,560

Combine like terms:

0.08S = $560

Now, divide both sides by 0.08 to find the value of 'S':

S = $560 / 0.08 = $7,000

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An equation of the tangent line to the curve \(x e^y+y e^x=4\) at the point (0, 4) is \(y=-(4+e^4) x+4\).

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  \(\left.y^{\prime}\right|_{x=0, y=4}\) as-

Consider the given equation;

\(x e^y+y e^x=4\)

Differentiate both side with respect to x;

\(\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}\)

Now apply product rule;

\(\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}\)

Applying exponential and power rule;

\(\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}\)

Solve the value of y'

\(y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}\)

Now, find the value of slope m.

\(m=\left.y^{\prime}\right|_{x=0, y=4}\)

\(\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4\)

Now, using the point-slope formula, obtain the line equation as follows.

\(\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}\)

Therefore, an equation of the tangent line to the curve is   \(y=-(4+e^4) x+4\).

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On solving the provided question, we can say that Considering that the test statistic inside the lower tail the rejection zone, the null hypothesis should be rejected.

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

\(H0:p=0.25\) (null hypothesis)

\(H0:p \neq 0.25\) (alternative hypothesis)

Do not reject the null because the test statistic\((-1.2) is >\) \(the critical value (-1.7531)\)

Considering that the test statistic is inside the lower tail of the rejection zone, the null hypothesis should be rejected.

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The height of cone is 10 inches.

What is cone?
A cone is indeed a three-dimensional geometric shape with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex. A cone is made up of a collection of line segments, half-lines, as well as lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex. The base may only be a circle, any closed one-dimensional figure, any one-dimensional quadratic shape in the plane, or any combination of the above and furthermore all the enclosed points, depending on the author.

What is the formula for finding the height of a cone?

We know that

If two figures are similar, then the ratio of its corresponding sides is proportional

Let x----> the height of cone B

using proportionality

3/2 = 15/x

x = 2 * 15/3

x = 10 inches

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A group of tourists was rescued on Monday after an elevator malfunction left them stranded in Arizona's Grand Canyon Caverns for nearly 30 hours

How to Determine location?

The most popular method is to locate the place by utilizing coordinates like latitude and longitude or, if a street address is known, by using them. Although less accurate than providing coordinates or an address, absolute location can also be the name of the city, area, or postal code in which a place is located.

So,

According to the question,

A group of tourists was rescued on Monday after an elevator malfunction left them stranded in Arizona's Grand Canyon Caverns for nearly 30 hours

Hence,

A group of tourists was rescued on Monday after an elevator malfunction left them stranded in Arizona's Grand Canyon Caverns for nearly 30 hours

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Answer:

Let "b" be the total bill before the tip.

The tip was 18% of the bill, or 0.18 * b.

The tip was also $4.50, so we can set up the equation 0.18b = $4.50.

Solving for b, we get:

0.18b = $4.50

b = $4.50 / 0.18

b = $25

Therefore, Sierra's total bill before the tip was $25.

Answer:

\(y = \frac{1}{8}(x + 4)^2 + 4\)

Step-by-step explanation:

Given:

Focus of parabola: (-4, 6)

Directrix: y = 2

Required:

Equation for the parabola

Using the formula, \( y = \frac{1}{2(b - k)}(x - a)^2 + \frac{1}{2}(b + k) \) , the equation for the parabola can be derived.

Where,

a = -4

b = 6

k = 2

Plug these values into the equation formula

\( y = \frac{1}{2(6 - 2)}(x - (-4))^2 + \frac{1}{2}(6 + 2) \)

\(y = \frac{1}{2(4)}(x + 4)^2 + \frac{1}{2}(8)\)

\(y = \frac{1}{8}(x + 4)^2 + \frac{8}{2}\)

\(y = \frac{1}{8}(x + 4)^2 + 4\)

Answer:

REGULAR

Step-by-step explanation:

Answer:

A. 2:17 p.m.

Step-by-step explanation:

7 minuets more than 10 minuets is 17.

Answer:

A 2:17

7 minutes plus 10 is 17 so it would be 2:17