Find the margin of error for a 90% confidence interval when the standard deviation is σ = 50 and n = 25. (Round to three decimal places.)

Answer:

1

Step-by-step explanation:

Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

On solving the provided question, we can say that in the given graph the function will be so, g(x) = -1/2 |x|

Mathematicians use graphs logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

in the given graph

we have two lines that are straight from the origin, so the function must be in modulus

so, g(x) = -1/2 |x|

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Given the equation:

We can rewrite it in the slope - intercept form; as follows:

The graph is given by:

ANSWER

Answer:

D. $105,750

Step-by-step explanation:

Use the formula I=prt,which stands for "Interest equals principal × rate × time" The clue to use that formula was the phrase "simple interest" The principal is the original amount of the loan, $150,000.

The interest rate is the 3.7% or 4.2% but you MUST change these to a decimal to use them. So we'll be using .037 and .042 for these calculations. The time part of the equation is the 15 years or the 30 years. See image.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

Answer:

6

Step-by-step explanation:

When dividing by a fraction flip it over and multiply

2 / (1/3) = 2 * 3/1

2 / (1/3) = 6/1

2 / (1/3) = 6

Using the concept of percentage, she earned a total of $1091 last week

A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

To determine the amount she earned last week, we need to calculate the amount in commission and add it with her weekly salary.

She received 3% commission on her sales and she made a sale of $29700.

Let's find 3% of 29700

3 / 100 = x / 29700

0.03 = x / 29700

x = 29700 * 0.03

x = 891

The amount she earns will be 891 + 200 = 1091

Janelle earned $1091 last week

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Answer:

Step -by-step explanation:

Answer:

First problem: x = 5.7√2 = (57√2)/10

Second problem: x = 10√3

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Answer:

9

Step-by-step explanation:

4 * 2 + 3 - 2 =

= 8 + 1 =

= 9

Answer:

give me more instructions so i can actually help

Step-by-step explanation:

The perimeter of the triangle ABC is \(10+\sqrt{10}\) \(units\).

The given parameters:

The length of AC = 3-(-2) = 5 unit

The length of AC = length of BC = 5 unit

The length of BC is calculated by applying Pythagoras theorem as follows;

\(BC^2=(4-1)^2+(3-2)^2\)

\(BC^2=3^2+1^2\)

\(BC^2=10\)

\(BC=\sqrt{10}\)

The perimeter of the triangle ABC is calculated as follows;

\(P=AB+AC+BC\)

\(P=5+5+\sqrt{10}\)

\(P=10+\sqrt{10\)  \(units\)

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Therefore , the solution of the given problem of equation comes out to be  the coefficients of the variables x and y and putting them in a matrix.

To guarantee consistency here between two opposing claims, variable terms are frequently used in complicated algorithms. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this instance, the normalise process gives as rather than just an variable that separates 12 in and out of two parts for use with a data from y + 6.

Here,

In order to visualise the formulae

=> 6x + 11y = -4

=> 5x - 9y = 1

We can set up a vector of constants on the right side and use the values of the variables x and y as entries in a matrix to represent the data in matrix form.

The system's matrix shape is:

| 6  11 |   | x |   | -4 |

| 5  -9 | * | y | = |  1 |

Consequently, the following is the system's matrix representation:

| 6  11 |

| 5  -9 |

Notably, we acquire the system's coefficient matrix by taking the coefficients of the variables x and y and putting them in a matrix.

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Step-by-step explanation:

(n+1)! = (n+1)n(n-1)(n-2)...×3×2

16n! = 16n(n-1)(n-2)...×3×2

16(n-1)! = 16(n-1)(n-2)...×3×2

we can now divide both sides by (n-1)! and get

(n+1)n = 16n + 16

n² + n = 16n + 16

n² - 15n - 16 = 0

1×n² - 15n - 16 = 0

we try to bring this into a form

(n + a)(n - b)

one factor has to contain "-", because we have "-16".

and because -15 = 1 - 16, we see that

a = 1

b = 16

n² - 15n - 16 = (n + 1)(n - 16)

and that is 0, when at least one of the factors is 0, because 0×... = 0.

so, the solutions are

n = -1

n = 16

n = -1 does not make any sense for n!

so, n = 16 is the solution.

The correct properties of the given ones are -

In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It characterizes some properties of the matrix and the linear map represented by the matrix.

Given are the properties of determinants.

The correct statements of the given ones are -

Therefore, the correct properties of the given ones are -

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Answer:

All integers greater than 4

Step-by-step explanation:

I took the test.

Answer:

19.99

Step-by-step explanation:

First you would multiply .44 by 16 to get 7.04

then you would add 12.95 to get 19.99

Answer:

452.16 m³

Step-by-step explanation:

Given

Formula

Solving

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Angle Pair                                                                      Examples

Corresponding Angles                                            ∠1 and ∠5, ∠2 and ∠6,      

                                                                               ∠3 and ∠7, and ∠4 and∠8

Alternate Interior Angles                                       ∠4 and ∠6, ∠3 and ∠5

Alternate Exterior Angles                                        ∠1 and ∠7, ∠2 and∠8

Consecutive(Same-Side) Interior Angles              ∠4 and ∠5, ∠3 and ∠6

Consecutive(Same-Side)Exterior Angles              ∠1 and ∠8, ∠2 and ∠7

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Answer:

the angle is acute angle

Answer:

The type of angle shown is an acute angle

Step-by-step explanation:

there are 4 main types of angles. this is an acute angle as it is less than 90°.

Types of angles:

The 4 main types of angles are: acute, obtuse, right angles, reflex angles.

Acute angles- Acute angles are angles less than 90°.

Obtuse Angles-Obtuse angles are angles greater than 90° but less than 180°.

Right Angles- Right angles are angles of 90°.

Reflex Angles- Reflex angles are angles greater than 180° but less than 360°.

Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

The angular speed in radians per second in which he is traveling is 60.2pi inch/sec.

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance / time.

Given that;

The diameter of bicycle wheel= 28inches

Rpm of wheel = 130rpm

Now,

Angular speed ω = 2pi*N/60 radian per second.

=2*pi*130/60

=260pi/60

=4.3pi radian per second

Speed of bicycle V = r*ω

V=14*4.3pi

V=60.2pi inch/sec

Therefore, the angular speed of ryan by the data is 60.2pi inch/sec.

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The correlation coefficient mostly based on all the observation's values' with the deviations from about the mean for both variables. So, it's true.

A correlation coefficient is a statistical degree of the diploma to which modifications to the cost of 1 variable are expecting extrade to the cost of another. In definitely correlated variables, the cost will increase or decreases in tandem. A correlation coefficient is a variety of among -1 and 1 that tells you the electricity and path of a courting among variables.

In different words, it displays how comparable the measurements of or greater variables are throughout a dataset. Both quantify the path and electricity of the connection among numeric variables. When the correlation (r) is negative, the regression slope (b) might be negative. When the correlation is positive, the regression slope might be positive.

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Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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Answer:

-2/3

Step-by-step explanation:

Answer:

I'm going for the first one (2/3)

Hope this helped you

you can eliminate B and C b/c the line is going up not down

line down= a negative slope

line up= a positive slope