what is the z-score of x = 1.25, if x is one standard deviations to the right of the mean?

9514 1404 393

Answer:

  Either of ...

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

  1. reflection across the origin: (x, y) ⇒ (-x,-y)

  2. rotation 180° (either direction) about the origin.

Take your pick.

\( \qquad\qquad\huge\underline{{\sf Answer}}{} \)

Surface area of a cube is :

\(\qquad \tt \dashrightarrow \:6 {a}^{2} \)

where, a represents side length of each edge.

\(\qquad \tt \dashrightarrow \:a = 6(6.4) {}^{2} \)

\(\qquad \tt \dashrightarrow \:a = 6(40.96)\)

\(\qquad \tt \dashrightarrow \:a = 245.76 \: \: unit {}^{2} \)

it can be taken as an approximate of :

\(\qquad \tt \dashrightarrow \:a \approx245.8 \: \: unit {}^{2} \)

Answer:

The answer is D. 245.8 unit^2

Option- 3 is correct that is both a and b are true.

a. The statement is true that is cosx = \(1 - \frac{sinx}{cscx+cotx}\)

b. The statement is true that is sinx = \(1 - \frac{cosx}{secx+tanx}\)

Given that,

a. We have to prove the statement is true or false.

Statement: cosx = \(1 - \frac{sinx}{cscx+cotx}\)

Now, Take the right hand side

= \(1 - \frac{sinx}{cscx+cotx}\)

= \(1 - \frac{sinx}{\frac{1}{sinx} +\frac{cosx}{sinx} }\)

By using LCM

= \(1 - \frac{sinx}{\frac{1+cosx}{sinx} }\)

= \(1 - \frac{sinx\times sinx}{1+cosx} }\)

= \(1 - \frac{sin^2x}{1+cosx} }\)

= \(\frac{1+cosx - sin^2x}{1+cosx} }\)

We know from trigonometric identities 1 - sin²x = cos²x

= \(\frac{cos^2x+cosx }{1+cosx} }\)

= \(\frac{cosx(1+cosx )}{1+cosx} }\)

= cosx

LHS = RHS

Therefore, The statement is true

b. We have to prove the statement is true or false.

Statement: sinx = \(1 - \frac{cosx}{secx+tanx}\)

Now, Take the right hand side

= \(1 - \frac{cosx}{secx+tanx}\)

= \(1 - \frac{cosx}{\frac{1}{cosx} +\frac{sinx}{cosx} }\)

By using LCM

= \(1 - \frac{cosx}{\frac{1+sinx}{cosx} }\)

= \(1 - \frac{cosx\times cosx}{1+sinx} }\)

= \(1 - \frac{cos^2x}{1+sinx} }\)

= \(\frac{1+sinx - cos^2x}{1+sinx} }\)

We know from trigonometric identities 1 - cos²x = sin²x

= \(\frac{sin^2x+sinx }{1+sinx} }\)

= \(\frac{cosx(1+sinx )}{1+sinx} }\)

= sinx

LHS = RHS

Therefore, The statement is true

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Answer

(-3, -11), (1, 5)

Explanation

To solve this, we will solve this, we will equate the expressions for y

y = -x² + 2x + 4

4x - y = -1

y = 4x + 1

y = y

4x + 1 = -x² + 2x + 4

x² + 4x - 2x + 1 - 4 = 0

x² + 2x - 3 = 0

x² + 3x - x - 3 = 0

x (x + 3) - 1 (x + 3) = 0

(x + 3) (x - 1) = 0

x + 3 = 0

x = -3

OR

x - 1 = 0

x = 1

y = 4x + 1

If x = -3

y = 4x + 1 = 4(-3) + 1 = -12 + 1 = -11

If x = 1

y = 4x + 1 = 4(1) + 1 = 4 + 1 = 5

(-3, -11) OR (1, 5)

Hope this Helps!!!

The equivalent expression is (a)  1 + √5

From the question, we have the following parameters that can be used in our computation:

√5 + 1

The additive property of equality states that

a + b = b + a

using the above as a guide, we have the following:

√5 + 1 = 1 + √5

This means that the equivalent of √5 + 1 is 1 + √5

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Complete question

Which of the following is equivalent to √5 + 1

O A 1 + √5

OB. 1-√√5

O C. √5-1

OD √5-2

Answer:

hi i made u loose your time hahahhahahahahahahahahahahahahahhaha

Step-by-step explanation:

i dont know hhahahahahahahahhahaahahh you lost ur time reading all this now get back to work and solve it ur self hahahahahahahahahahahahah

The final matrix fored is  in reduced row-echelon form. The resulting matrix is:

0 1 0 0

1 0 0 0

0 0 1 0

0 0 -1 0

To change the given matrix to reduced row-echelon form (reduced form) using row operations, we'll perform a series of elementary row operations to simplify the matrix. The goal is to transform the matrix into a form where the leading coefficient (the leftmost nonzero entry) of each row is 1 and is the only nonzero entry in its column.

Here is the step-by-step process:

Swap rows R1 and R2:

0 3 -12 7

1 2 0 0

10 -4 1 0

0 0 3 -12

Multiply R1 by 10 and subtract it from R3:

0 3 -12 7

1 2 0 0

0 -34 21 -70

0 0 3 -12

Multiply R1 by 3 and subtract it from R2:

0 3 -12 7

1 -4 36 -21

0 -34 21 -70

0 0 3 -12

Multiply R2 by 34 and add it to R3:

0 3 -12 7

1 -4 36 -21

0 0 705 -882

0 0 3 -12

Multiply R2 by 3 and add it to R4:

0 3 -12 7

1 -4 36 -21

0 0 705 -882

0 0 105 -63

Multiply R3 by 1/705:

0 3 -12 7

1 -4 36 -21

0 0 1 -6/5

0 0 105 -63

Multiply R3 by -3 and add it to R1:

0 3 0 7/5

1 -4 36 -21

0 0 1 -6/5

0 0 105 -63

Multiply R3 by -36 and add it to R2:

0 3 0 7/5

1 0 36 9

0 0 1 -6/5

0 0 105 -63

Multiply R4 by -3/35:

0 3 0 7/5

1 0 36 9

0 0 1 -6/5

0 0 -3 9/5

Multiply R4 by -3 and add it to R1:

0 3 0 0

1 0 36 9

0 0 1 -6/5

0 0 -3 9/5

Multiply R4 by -36 and add it to R2:

0 3 0 0

1 0 0 9/5

0 0 1 -6/5

0 0 -3 9/5

Multiply R2 by 1/3:

0 1 0 0

1 0 0 3/5

0 0 1 -6/5

0 0 -3 9/5

Multiply R4 by 3 and add it to R3:

0 1 0 0

1 0 0 3/5

0 0 1 0

0 0 -3 0

Multiply R4 by 3 and add it to R1:

0 1 0 0

1 0 0 0

0 0 1 0

0 0 -3 0

Divide R2 by 3:

0 1 0 0

1 0 0 0

0 0 1 0

0 0 -1 0

Now the matrix is in reduced row-echelon form. The resulting matrix is:

0 1 0 0

1 0 0 0

0 0 1 0

0 0 -1 0

The reduced form of the given matrix is obtained after performing the row operations.

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the greatest distance the dog can be from the origin is 15 feet.

A Cartesian plane (named after French mathematician Rene Descartes, who formalized its use in mathematics) is defined by two perpendicular number lines: the x-axis, which is horizontal, and the y-axis, which is vertical. Using these axes, we can describe any point in the plane using an ordered pair of numbers.

Well first we have to find the distance from the origin to the point (4,3). Now to do this we use the distance formula. I didn't want to type this out so i found a picture.

Now the origin point is (0,0) So now we have two points we can plug in to find the difference between them. Now the X1 and X2 as well as y1 and y2 are interchangeable within their brackets.

So D= \(\sqrt{(4)^{2} } + (3^{2} )\) Which means D= the square root of 25 which is 5. This means the distance from the origin to (4,3) is 5 feet. Now the dog can go 10 more feet in the opposite direction of the origin so 5 + 10 (pretty easy math) = 15. The dog can be (at its farthest) 15 feet from the origin.

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Answer: D. domain; x>-2; range: y>0; Yes, it is a function

Step-by-step explanation:

Answer:

-1 yard per play

play 6 - play 3=0

play 2 - play 4=0

play 1 - play 5 = -6

hope it helped

The package that requires more wrapping paper to cover is the cube. The total amount of wrapping paper Susan must use to cover both packages is 286 square inches.

Let's find the surface area of both packages to determine which requires more wrapping paper and the total amount needed.

1. Rectangular prism:
Surface area = 2lw + 2lh + 2wh
where l = length, w = width, h = height
Surface area = 2(4)(2) + 2(4)(10) + 2(2)(10)
Surface area = 16 + 80 + 40 = 136 square inches

2. Cube:
Surface area = 6s²
where s = side length
Surface area = 6(5)² = 6(25) = 150 square inches

The cube requires more wrapping paper to cover as its surface area is 150 square inches, compared to the rectangular prism's 136 square inches. The total amount of wrapping paper Susan must use for both packages is 136 + 150 = 286 square inches.

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Answer:

Infinite solutions.

Step-by-step explanation:

First you need to change both into slope intercept form: y = mx + b.

3x + y = 1 in slope intercept form is y = -3x + 1 (subtract 3x from both sides). 2y = 2 - 6x in slope intercept form is y = -3x + 1 (divide both sides by 2). Since both lines are the exact same, there will be an infinite number of solutions when you graph.

If you change both equations into slope intercept form and they're the same line and you're not sure about the answer, go back to the original system of equations that you were given and solve for a variable. To do this, first rewrite the equations to make sure the variables are both on one side. In this case we only need to rewrite 2y = 2 - 6x to be 6x + 2y = 2. Now this is what we have:

3x + y = 1

6x + 2y = 2

Let's try solving for y. Multiply the top by -2. After multiplying, write the new equation below the 2nd one.

This is what your work will look like:

-2(3x + y = 1)

6x + 2y = 2

Here is what your equations will look like after multiplying:

6x + 2y = 2

-6x - 2y = -2

Your next step is to add the two equations together. When you do that, you'll see that everything cancels out, which means you'll end up with 0 = 0 after adding. 0 = 0 means infinite solutions.

Hope this helps!

The perimeter of the isosceles triangle will be P(x) = x√2 + 2x.

A polygon with three sides is known as a triangle. The angles of a triangle add up to form 180° and the sum of all sides of a triangle is known as the perimeter. In an isosceles triangle, the two sides are equal and their opposite angle too. In an isosceles triangle, the hypotenuse side of the triangle can be written as h(x) = x√2. The combined length comes out to be  L(x) = 2x. Using this information the perimeter of the triangle comes out to be,

P(x) = h(x) + L(x).

P(x) =  x√2 + 2x

Hence the perimeter of the triangle comes out to be P(x) =  x√2 + 2x

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Answer:

Step-by-step explanation: I think it's D

By incorporating this information into the similarity measure, we can produce more accurate and informative results in clustering and classification tasks.

To modify the definition of clustering similarity to take into account the position of shared neighbors in the two nearest neighbor lists, we can introduce a weighting factor that considers the rank of the shared neighbor in each list. This can be achieved by multiplying the regular SNN similarity value by a weight factor that is calculated as the reciprocal of the sum of the ranks of the shared neighbors in the two lists. For example, if two points have a shared neighbor that is ranked 2nd in one list and 3rd in the other list, the weight factor would be 1/(2+3) = 0.2. This weight factor would then be multiplied by the regular SNN similarity value to produce a modified SNN similarity score that gives higher similarity to points that share the same nearest neighbors ranked higher in the nearest neighbor lists. This modification is justified because it takes into account the fact that having shared neighbors that are ranked higher in the nearest neighbor lists is a stronger indicator of similarity than having shared neighbors that are ranked lower.

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Answer:

Any line that is in the form

y =

Step-by-step explanation:

See the graph below.  Perpendicular means that the lines meet at 90°.  You will see the black line graphed that is x = 2.  Then you will see two graphs in red.  y = 6 and y = -1.  any line in the form y = some number will be perpendicular to x = 2.

The experimental probability that at least two heads would be gotten is 11 / 25.

The theoretical probability that at least two heads would be gotten is 1/2.

Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Experimental probability is based on the result of an experiment that has been carried out multiples times.

Experimental probability = number of times at least two heads would be gotten / total number of tosses

( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25

Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes

4 / 8 = 1/2

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Answer:

Which polynomial is the correct product?

15y3 + 17y2 + 22y + 15

6y3 + 17y2 + 22y + 15

6y3 + 20y2 + 22y + 15

6y3 + 17y2 + 22y + 25

ANSWER: (D)     6y3 + 17y2 + 22y + 25

Step-by-step explanation:

On Edge

Answer:

C. Ferris wheel

Step-by-step explanation:

Circumference = pi x diameter

Take each of the entries from the diameter column and multiply by 3.14. They are all correct except for the Ferris wheel.

70.5 x 3.14 = 221.37

Answer:

the answer is the bus is yellow

Path A as it has a shorter distance and higher average walking rate, resulting in reaching the campsite in the least amount of time.

To determine the path that will get you to the campsite in the least amount of time, you need to consider the total distance, average walking rate, and total time for each path.

First, calculate the time it takes to walk each path by dividing the total distance by the average walking rate. Let's say Path A is 3 miles long and you walk at an average rate of 4 miles per hour, while Path B is 2.5 miles long and you walk at an average rate of 3 miles per hour.

For Path A:

Time = Distance / Rate = 3 miles / 4 miles per hour = 0.75 hours

For Path B:

Time = Distance / Rate = 2.5 miles / 3 miles per hour = 0.83 hours

Comparing the times, you can see that Path A takes less time (0.75 hours) compared to Path B (0.83 hours). Therefore, you should choose Path A to reach the campsite in the least amount of time.

Therefore, considering the total distance, average walking rate, and resulting time, Path A is the optimal choice for reaching the campsite in the least amount of time.

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Answer:

The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Step-by-step explanation:

David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Answer:

\((f \circ g)(24)=-36\)

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=-9x+9\\g(x)=\sqrt{x+1}\end{cases}\)

Function Composition is applying one function to the results of another.

The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).  

Therefore (f o g)(24) means to substitute the result of g(24) in place of the x in the function f(x).

Calculate g(24) by substituting x = 24 into function g(x):

\(\begin{aligned}\implies g(24)&=\sqrt{24+1}\\&=\sqrt{25}\\&=5 \end{aligned}\)

Therefore:

\(\begin{aligned}\implies (f \circ g)(24) & = f[g(24)]\\& = f(5)\\& = -9(5)+9\\&=-45+9\\&=-36\end{aligned}\)

Answer:

(f∘g)(24) = -36

Step-by-step explanation:

We are given f(x) = -9x + 9 and  \(g(x)= \sqrt{x+1}\).

We want to find (f∘g)(24).

This means that we first want to find g(24), then substitute the value of that into f(x).  

Start by substituting 24 for x in g(x).

\(g(24)= \sqrt{24+1}\)

Add 24 and 1 together.

\(g(24)= \sqrt{25}\)

Take the square root of 25.

g(24) = 5

Now, substitute 5 as x in f(x) = -9x + 9.

f(5) = -9(5) + 9

Multiply.

f(5) = -45 + 9

Add the numbers together.

f(5) = -36

f(5) in this case has the same value as (f∘g)(24)

This means that (f∘g)(24) = -36

Answer:

I got 12 + (-16 :4)

Step-by-step explanation:

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The measure of the angle that it is complementary which is represented by 90-x is always true. Option A

An acute angle is simply defined as an angle that measures from 90° and 0°. This means that it is smaller than a right angle.

It is formed in the space between two intersecting lines or planes, or from the intersection of two shapes.

A complementary angle can be defined as a pair of angles whose sum is equal or equivalent to 90 degrees.

From the information given, we have that;

x is the acute angle

The complementary angle is 90 - x

We can see that the angle x must be complementary to be subtracted from 90 degrees.

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The complete question:

If the measure of an acute angle is represented by x, then the measure of its complement is represented by 90 – X.

always true

sometimes true

never true

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

Answer:

Step-by-step explanation:

(11) The measure of angle IGJ is  46⁰.

(12) The measure of arc JH is determined as 138⁰.

The measure of the arc or central angle indicated is calculated as follows;

(11) The measure of angle IGJ is calculated as follows;

m∠LGK =  arc angle LK (interior angle of intersecting secants)

m∠LGK = 48⁰

m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)

m∠IGJ + m∠HGI + m∠JGK = 180⁰  (sum of angles in a straight line)

m∠IGJ + 48⁰ + 86⁰ = 180

m∠IGJ = 180 - 134

m∠IGJ = 46⁰

(12) The measure of arc JH is calculated as follows;

arc JH = arc JI + arc IH

arc JI = arc FG

arc FG = 180 - 137⁰ (sum of angle in a straight line)

arc FG = 43⁰

arc FG = arc JI (vertical opposite angles are equal)

arc JH = arc JI + arc IH

arc JH = 43⁰ + 95⁰

arc JH = 138⁰

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