The perimeter of a rectangle is 260 meters. The length is 50 meters greater than the width. Find the dimensions of the rectangle.
length:
width:

Answer:

mean   (1/6){92 + 97 + 53 + 90 + 95 + 98}

= 87.5

variance (1/6){(92-87.5)^2 + (97-87.5)^2 + (53-87.5)^2 + (90-87.5)^2 + (95-87.5)^2 + (98-87.5)^2}

= 245.6

standard deviation   √{1/6*[(92-87.5)^2 + (97-87.5)^2 + (53-87.5)^2 + (90-87.5)^2 + (95-87.5)^2 + (98-87.5)^2]}

= 15.7

Answer:

ABC store

Step-by-step explanation:

The abc store shoes are 18.02

Answer:

Lo-Price Shoes

Step-by-step explanation:

(60.05×30)÷100=

1801.5÷100=

$18.015

60.05-18.015=42.035

$42.035>$38.85

Lo-Price Shoes are still cheaper even with ABC's 30% discount.

Stella landed 1.68 kilometers away from the skydiving base as a result.

Stella had skydiving instructions from her friends. Her chopper departed the skydiving facility and ascended at a 37-degree angle.

i.e., elevation angle = 37°

after travelling 2.1 kilometres, she dropped in a straight line perpendicular to the ground after another 1 km.

In relation to the ground, her helicopter is forming a right-angled triangle.

, where

Triangle's hypotenuse measures 2.1 km.

Triangle perpendicular = 1 km

at an elevation angle of 37°

now,

Stella's landing spot's distance from the skydiving facility

The trigonometric ratios indicate that

base/hypotenuse = cos

changing the value in the formula

cos 37° =Base/2.1

0.7986 * 2.1 = Base

Base = 1.68

Stella landed 1.68 kilometers away from the skydiving base as a result.

For more questions like Skydiving click the link below:

https://brainly.com/question/8958195

#SPJ4

Complete question:

Stella's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 37 degree, and traveled a distance of 2.1 point, 1 kilometers before she fell in a straight line perpendicular to the ground. How far from the skydiving center did Stella land? Round your final answer to the nearest hundredth.

B) X union Y complement

How should a set notation function be written?

The set of all functions f: X Y is denoted by the following notation: The set of all functions f: X Y is labeled Y X for any sets X and Y. Another helpful example of standard notation is as follows: Notation: The term |X|, or occasionally #X, is used to represent the number of elements in finite sets X.

In the above diagram we can see that the shaded region occupy the x and X ∩ Y so the correct option is B

Learn more about set notation function

https://brainly.com/question/24462379

#SPJ1

Step-by-step explanation:

the answer is in the above image

Answer:

\(-12^{2}\) + 9a - 5

Step-by-step explanation:

combine like terms :

-7\(a^{2}\) - 5\(a^{2}\) = -12\(a^{2}\)  

+3a - (-6a) = 9a    

-9 - (-4) = -5          

Answer:

t=0

Step-by-step explanation:

if the slope is 3 the y coordinate with increase by 3 every time the x coordinate goes up 1. So when the x coordinate goes up 1 from 9 to 10, the y coordinate goes up 3 from -3 to 0.

The value of x is 46/9.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

When both sides of an equation are same then the equation has infinitely many solutions.

We have been given equation as;

3x - 3(4 + x) = 3/4(3x + 2) - 1

LEts simplify the both hand side.

3x - 12 + -3x = 9x/4 + 3/2 - 1

12 = 9x/4 + 1/2

12 - 1/2 = 9x/4

Simplify;

23/2 = 9x /4

23(2) / 9 = x

x = 46/9

Hence, the value of x is 46/9.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

Read more about dilation at

https://brainly.com/question/29200743

#SPJ1

The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

To know more about cartesian vector form visit

https://brainly.com/question/31433334

#SPJ11

The standard error of the mean is 0.2 hours, The standard error of the mean is a measure of how much variation there is in the sample mean around the population mean.

It is calculated by dividing the population standard deviation by the square root of the sample size.

In this case, the population standard deviation is 1.6 hours and the sample size is 64. Therefore, the standard error of the mean is 0.2 hours.

This means that we can be 95% confident that the true population mean is within 0.2 hours of the sample mean. In other words, if we were to repeat the study many times, we would expect the sample mean to be within 0.2 hours of the true population mean 95% of the time.

Standard error of the mean = population standard deviation / square root of sample size

= 1.6 hours / square root of 64

= 0.2 hours

The standard error of the mean is a useful tool for interpreting the results of a sample survey. It allows us to quantify the uncertainty associated with the sample mean, and to make inferences about the population mean.

To know more about root click here

brainly.com/question/16880173

#SPJ11

Answer:

\(\frac{25}{16}\)  

I hope this helps!

Answer:

Step-by-step explanation:

Round √92

to the nearest thousandth.

A. 9.5

B. 9.59

C. 9.600

D. 9.592

√92 = 9.59166304663

round to the nearest thousandth 9.59

The sum of the areas of the shaded regions will be 14 square units as the big outside square has an area of 84, and the dots are all equally spaced, forming smaller squares.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.

The required area will be,

=1*1+1*9+0.75*4+0.25*4

=14 square units

Because the big outside square has an area of 84 square units and the dots are all evenly spaced, forming smaller squares, the total area of the shaded regions will be 14 square units.

To know more about area,

https://brainly.com/question/22469440

#SPJ4

Step-by-step explanation:

c + 1/2 × a²b = d | - c on both sides

1/2 × a²b = d - c | ×2 on both sides

a²b = 2(d - c) | /b on both sides

a² = (2/b) × (d - c) | sqrt on both sides

a = sqrt(2(d - c)/b)

yes, the given answer is correct.

Answer:

Step-by-step explanation:

(f-g)(x) = f(x)- g(x)

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

= 7

Therefore (f-g)(x) = 7

Answer:

(f - g)(x) = 7

Step-by-step explanation:

Here, we should subtract the two functions:

f(x) = 3x + 7  and g(x) = 3x

(f - g)(x) = 3x + 7 - 3x

            = 3x - 3x + 7

           = 7

Hence, (f - g)(x) = 7

Answer:

B. \(4\sqrt{2}\)

Step-by-step explanation:

EG is equal to 4

ED and DG, however, are equal to \(x\sqrt{2}\)

So, we can do \(x\sqrt{2} = 4\)

This comes out to \(x=2\sqrt{2}\)

So, \(x^{2}\) is the area of the square.

\(2\sqrt{2} ^{2}\) is equal to \(4\sqrt{2}\)

Answer: 14

Step-by-step explanation:

1 4/1 is 4 because 1 times 4/1 is 4

1 and 5/2 is basically 3.5 and

4 times 3.5 is 14

Answer:14

Step-by-step explanation:

1 4/1 is 4 because 1 times 4/1 is 4

1 and 5/2 is basically 3.5 and

4 times 3.5 is 14

$\Pi$ is NP-hard, and since it is also in NP, it is NP-complete.

If $\Pi$ belongs to P and there is a polynomial-time reduction of $\Pi'$ to $\Pi$, then $\Pi'$ also belongs to P.

This is because if we have a polynomial-time reduction from problem $\Pi'$ to problem $\Pi$ and $\Pi$ can be solved in polynomial time,

then $\Pi'$ can also be solved in polynomial time because the reduction takes at most polynomial time.NP is the class of decision problems that can be solved by a non-deterministic Turing machine in polynomial time.

If $\Pi$ belongs to NP, $\Pi'$ is NP-complete, and there exists a polynomial-time reduction of $\Pi'$ to $\Pi$, then $\Pi$ is also NP-complete.

This is because if $\Pi'$ is NP-complete and there exists a polynomial-time reduction from $\Pi'$ to $\Pi$, then any problem in NP can be reduced to $\Pi'$ in polynomial time, and hence to $\Pi$ in polynomial time.

Therefore, $\Pi$ is NP-hard, and since it is also in NP, it is NP-complete.

Learn more about NP-hard from the given link

https://brainly.com/question/31383175

#SPJ11

Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:

Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:

The derivative of the function is -2 at x=1.

Answer:

bad expression

Step-by-step explanation:

13251+3032−8569=7714

The Solomon four-group design includes two control groups: one that is not pretested and does not receive treatment, and another that is not pretested but receives treatment.

In the Solomon four-group design, there are two treatment groups and two control groups. The purpose of this design is to examine the interaction effect between pretesting and treatment.

The first control group does not receive any treatment, while the second control group also does not receive treatment but is pretested. These two control groups help to measure the impact of pretesting on the dependent variable.

The two treatment groups receive the treatment being studied, with one group being pretested and the other group not being pretested. By comparing the pretested and non-pretested treatment groups, researchers can determine if there is an interaction effect between pretesting and the treatment.

To know more about Solomon four-group visit:

https://brainly.com/question/13735730

#SPJ11

Isa took 4 hour when  isa go from UK to USA and took 14 hour when she returns and time difference will be 10 hours

What is a definition distance?

the extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness

when isa travels to the usa for a holiday he leaves the uk at 1.00 pm local time and lands at 5.00 pm local time.

so isa took 4 hour

on the return journey he leaves at 8.00 pm local time and lands at 10.00 am local time the next day

isa tool 14 hour

find the length of the flight in hours and the time difference between the uk and the part of the usa that isa visited

length of flight is 18 hour

time difference will be 14-4 = 10 hour

learn more about time here

https://brainly.com/question/23973491

#SPJ4

The wheel has diameter 60 cm = 0.60 m, and thus circumference π(0.60 m) ≈ 5.923 m.

In one complete revolution, a point on the edge of the wheel covers this distance, so that the wheel has an angular speed of

(13.2 m/s) * (1/5.923 rev/m) ≈ 2.229 rev/s

There are 60 seconds to each minute, and 60 minutes to each hour, so converting to rev/h gives

(2.229 rev/s) * (60 s/min) * (60 min/h) ≈ 8024 rev/h

Answer:

1 Donut: $1.29

1 Hot Chocolate: $2.79

Subtotal: $4.08

Discount: $0.61

New Subtotal: $3.47

Tax: $0.28

Total: $3.75

Step-by-step explanation:

Here ya go! Sorry it took so long.

Answer:

86% or a difference of 743/3

Step-by-step explanation:

The equation for a volume of a sphere is 4/3pi r^3 where r is the radius. Plugging in, we get 288pi for a radius of 6, and 121/3pi for a radius of 5.5. The ratio would be 288:121/3 without pi. Subtracting these two values we get 743/3 which is in simplest terms. As for the decrease in percentage, calculating the percentage of decrease would be the original value subtracted by the new value divided by the original value. This means 288 -121/3 is 743/3, and this divided by 288 is approximately 0.86. This means the percentage decrease is approximately 86% rounded to the nearest hundredths.

The correct statement regarding the rate of change of the exponential function is given as follows:

The bacterial culture loses 1/2 of it's size every 1/6 seconds.

The exponential function that gives the bacteria's population after t seconds is given as follows:

B(t) = 9300(1/64)^t.

The rate of change of the exponential function is given as follows:

1/64.

Hence the half-life of the population is obtained as follows:

(1/64)^t = 1/2

(1/2^6)^t = (1/2)

2^(-6t) = 2^(-1)

6t = 1

t = 1/6.

More can be learned about exponential functions at https://brainly.com/question/2456547

#SPJ1

The value of quadratic function is,

⇒ y = 9x² + 54x - 63

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ y = 9 (x - 1) (x + 7)

Now, We can find the quadratic equation as;

⇒ y = 9 (x - 1) (x + 7)

⇒ y = 9 (x² + 7x - x - 7)

⇒ y = 9 (x² + 6x - 7)

⇒ y = 9x² + 54x - 63

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ1

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

Learn more about probability here;

https://brainly.com/question/29087823

#SPJ4

The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

Learn more about percentage here:

brainly.com/question/24159063

#SPJ1

Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )