Roberto took a sample of 5 recent matches for his favorite soccer team. Here is how many goals the team scored in each match: 0, 2, 1, 2, 5 Roberto found the mean was xˉ=2 goals. He thinks the standard deviation is sx =(2−2)2 + (1−2)2 +(2−2)2 +(5−2)24−−−−−−−−−−−−−−−−−−−−√ What is the error in Roberto's standard deviation calculation?

Answer:

2 hours

Step-by-step explanation:

Since Tory and Emilio's motorboats travel at the same speed, they are traveling at the speed of 30 km/h. Therefore, it should take Tory two hours to travel 60 km.

Tory took 2 hours to navigate the 60 kilometers.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

Tory pilots her boat 60 km before docking.

Emilio continues for another 4 hours traveling, a total of 120 km before docking.

The speed of Emilio's boat = 120 / 4 = 30 kilometers per hour.

Tory and Emilio's motorboats travel at the same speed.

Tory's boat speed,

= 60/30 = 2 hours.

Therefore, Tory takes 2 hours.

To learn more about the speed;

https://brainly.com/question/7359669

#SPJ2

Answer:

A, B, C, D

Step-by-step explanation:

(A) Checking the Equal Variance Assumption, the appropriate technique to use is:

- The ANOVA (Analysis of Variance) F test

- Plot residuals against fitted values

(B) Checking the Normal Assumption, the appropriate techniques to use are:

- Test for Kurtosis & Skewness

- Kolmogorov-Smirnov Test

- Q-Q Plots (the graphical method) also known as Quantile Plot

- Do not use a histogram; it is not advisable

(C) Checking for Model Misspecification, the appropriate techniques to use are:

- The Ramsey Regression Specification Error Test; also called RESET

- The Davidson & MacKinnon J. Test

(D) Checking for dependent errors, the appropriate technique to use is:

- Plot residuals against time variables

A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.

Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting

Learn more about variable:

https://brainly.com/question/25223322

#SPJ1

When you round 19995 to the nearest ten, you look at the digit in the tens place, which is 9. Since 9 is greater than or equal to 5, you round up the digit in the thousands place to the next higher number, which is 20000.

Therefore, 19995 rounded to the nearest ten is 20000.

The required value of \(\sin(\alpha + \beta) = \frac{15\sqrt{15} - 21}{175}$\).

To find \($\sin(\alpha + \beta)$\), we will need to use the trigonometric identity:

\($\sin(\alpha + \beta) = \sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta)$\)

We are given that \(\cos(\alpha) = \frac{3}{7}$\) in quadrant IV. Since cosine is positive in quadrant IV, we can draw a reference triangle in quadrant IV with adjacent side 3 and hypotenuse 7. We can use the Pythagorean theorem to find the opposite side:

\($\sin(\alpha) = \frac{\sqrt{7^2-3^2}}{7} = \frac{\sqrt{40}}{7} = \frac{2\sqrt{10}}{7}$\)

We are also given that \(\sin(\beta) = \frac{7}{25}$\) in quadrant II. Since sine is positive in quadrant II, we can draw a reference triangle in quadrant II with opposite side 7 and hypotenuse 25. We can use the Pythagorean theorem to find the adjacent side:

\($\cos(\beta) = -\frac{\sqrt{25^2-7^2}}{25} = -\frac{6\sqrt{6}}{25}$\)

Now we can substitute these values into the formula for \($\sin(\alpha + \beta)$\):

\($\sin(\alpha + \beta) = \sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta)$\)

\($= \left(\frac{2\sqrt{10}}{7}\right)\left(-\frac{6\sqrt{6}}{25}\right) + \left(\frac{3}{7}\right)\left(\frac{7}{25}\right)$\)

\($= -\frac{12\sqrt{15}}{175} + \frac{3}{25}$\)

\($= \frac{15\sqrt{15} - 21}{175}$\)

Therefore, \($\sin(\alpha + \beta) = \frac{15\sqrt{15} - 21}{175}$\).

To know more about Trigonometry visit:

brainly.com/question/29002217

#SPJ1

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

​for such more question on present value

https://brainly.com/question/28256489

#SPJ8

Answer:

Step-by-step explanation: I always like to make sure I am clear about the question. It seems like the question is:

you have 3 variables; H, N, and S. Using ( ) to represent multiplication

If

(H)(N) = 20cm [H times N is equal to 20 cm]

and

(H)(S) = 6cm [H times S is equal to 6 cm]

then what does

(N)(S) = ? [N times S equals what?]

since H is used in both equations, we know they are the same number, so H has to be a number that is a factor (meaning what are the individual numbers in a multiplication equation)

Since (H)(N) = 20 H represents one of the individual numbers. And the factors of 20  are (1, 2, 4, 5, 10. 20)

Since (H)(S) = 6 H represents one of the individual numbers. And the factors of 6 are (1, 2, 3, 6)

The only number that is the same in each group of factors is 2

So H = 2. Now we can replace H with the number 2

(H)(N)=20 is (2)(N) = 20; Then you divide both sides by 2 and you get

(2)(N)/2 = 20/2 ; the 2 on the left side cancel each other and 20/2 = 10

N =10

You do the same process for (H)(S) = 6

(2)(S) = 6

(2)(S)/2 = 6/2

S = 3

(N)(S) = ?

(10)(3) = 30 cm

so 30 cm is the answer

Answer:

where is the figure?? I need the figure to solve the question! Thank you!

Answer:

85%

Step-by-step explanation:

to find percent of the throws made put (throws made/total free throws)*100

so (85/100)*100= 85%

Answer:

42 is answer

6 times 7 or 6 × 7 = 42

Answer:

42

Step-by-step explanation:

6x7 is 42 if you need help remembering, remember this "6 and 7 went to the zoo they counted the animals and saw 42"

The expressions are simplified to;

1. 5x + 11

2. x - 11

3. x - 11y

4. 4x + 20

5. 5x² - y²

6. 5x² - 5y² - 5y

7. -12y²

8. 4x + 20

9. 4x - 20

10. 8x² - 20xy

To simply the algebraic expression, we have to expand the bracket, collect the like terms and then add or subtract them.

From the information given, we have that;

1. 3x + 5 + 2x + 6

collect and add like terms

5x + 11

2. 3x - 5 - 2x - 6

collect and add the like terms

x - 11

3. 3x - 5y - 2x - 6y

collect and add the like terms

x - 11y

4. 6x + 12 - 2x + 8

collect and add the like terms

4x + 20

5. 3x² + 5y² + 2x² - 6y²

collect and add the like terms

5x² - y²

6. 3x² - 5y² + 2x² - 6y

collect and add the like terms

5x² - 5y² - 5y

7. 6x³ - 10y³ + 4x³ - 12y²

collect and add the like terms

-12y²

8. 6(x + 2) - 2(x - 4)

expand the bracket

6x + 12 - 2x + 8

4x + 20

9. 6(x - 2) - 2(x + 4)

expand the bracket

6x - 12 - 2x - 8

4x - 20

10. 6x(x - 2y) + 2x(x - 4y)

expand the bracket

6x² - 12xy + 2x² - 8xy

8x² - 20xy

Learn more about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

For more such questions on parking cost

https://brainly.com/question/18091509

#SPJ8

Answer:

1). Area = 37 cm²

2). Area = 120 cm²

Step-by-step explanation:

Figures in the picture attached are the examples of composite figures.

1). Area of the composite figure = Area of rectangle A + Area of rectangle B

   Since area of rectangle = Length × width

   Area of rectangle A = 8 × 2 = 16 cm²

   Area of rectangle B = 3 × 7 = 21 cm²

   Area of the composite figure = 16 + 21 = 37 cm²

2). Area of the composite figure = Area of C + Area of D

                                                     = (3×4) + (9×12)

                                                     = 12 + 108

                                                     = 120 cm²

The expression can be completed as 4 × (4 + 3)

A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.

Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.

Looking at the pages:

On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:

4 × (4 + 3)

Learn more about mathematical expressions on:

https://brainly.com/question/4344214

#SPJ1

Answer:

5

Step-by-step explanation:

First find the number that have their own cell phone

1/4 * 40 = 10

There are 10 students with their own cell phone

1/2  of the 10 can use social media

1/2 * 10  =5

5 have their own cell phone and can use social media

Answer: 10 students have a cell phone and only 5 of them can use social media

Step-by-step explanation: We see there are 40 students in total and 1/4 OF the class have their own cell phone. The OF means multiplacation so we do 40 X 1/4 which is 10 students who have their cellphone. We then again see 1/2 OF the 10 students can use social media meaning we do 10 X 1/2 which is equal to 5 students out of the 10 can use social media.

Answer:

A  =  P  ( 1  + r / n)  ^( t * n)

where

A  =  the amt  owed

P  = amt borrowed

r  = the  interest  rate  as a decimal

n =  the  number of compoundings  per year

t  = the  number of years

A  =    10000  (  1  + .10  / 2)^(2 *1)    =   10000  ( 1.05)^2    =  $11025

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

Answer:

-6r+6

Step-by-step explanation:

Let us expand the expression:

8-(6r+2)=

8-6r-2=

6-6r

OR

-6r+6

I hope this helps! :)

Answer:

6r+6

Step-by-step explanation:

we dont know the variable's number value yet so you can't solve anything with the 6r. We use distribbutive property and solve 8-2 since the 8 is just subtracting everything in the parenthesis. 8-2=6 and you can't do anything with the 6r so the expression would end up as 6r+6.

The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.

Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.

Number of tablets = Prescribed dose / Dosage strength per tablet

Number of tablets = 80 mg / 20 mg

Number of tablets = 4 tablets

Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.

Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.

For more such questions on administer visit:

https://brainly.com/question/29458949

#SPJ8

F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.

Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.

Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.

Learn more about polynomials

https://brainly.com/question/11536910

#SPJ1

Answer:

The height increase by

20/49π when pile is 14ft high

Step by step Explanation

Given:

rate of 20 ft3/min

To asolve this quest we will be using the volume of a cone then find the partial derivative

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

$475

Step-by-step explanation:

First, we need to subtract 61 from 1011 which given us 950. Then, we divide 950 by 2 to give us the cost of the dryer :)

950 ÷ 2 = 475

This means the cost of the washer is $536 (not relevant to the answer, but at least now you know :) )

The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer: The slant height of the cone is 10.770329614269 inches.

Answer:

96in

Step-by-step explanation:

A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

Read more on perpendicular bisectors here: brainly.com/question/19154899

#SPJ1

Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS