On normally distributed curves, which of the following is NOT true? a. The mean of standard scores vary as a function of the type of standard score (e.g., T score mean is 50, DIQ mean is 100). b. The mean of z scores is always 0. c. The percentile rank mean is always p = 50. d. The mean of the standard deviation is 0. e. The mean of the publisher type score varies as a function of the publisher.

a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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Answer:

[x] is the greatest integer function, which returns the greatest integer less than or equal to x. This can be written as a piecewise linear function as follows:

f(x) =

x-1, if x is not an integer and x>1

x, if x is an integer or x<=1

For example, if x=6, then f(x)=6. If x=6.5, then f(x)=5. If x=0.5, then f(x)=0.

So, the piecewise linear function for f(x)=[x] is:

f(x) =

x-1, if x is not an integer and x>1

x, if x is an integer or x<=1

42 red blood cells are needed to make a line 1 inch long

The diameter of a red blood cell is 6 x \(10^{-6}\) m,

so we need to determine how many cells can fit in a

line 1 inch long (2.54 x\(10^{-5}\) m).

Dividing the length by the diameter gives the number of cells:

2.54 x \(10^{-5}\) m / 6 x \(10^{-6}\) m = 42.33.

So, approximately 42 red blood cells are needed to make a line 1 inch long.

This highlights the small size of red blood cells and the remarkable ability of the human body to produce and maintain billions of these cells for proper blood circulation and oxygen delivery.

Red blood cells, also known as erythrocytes, are one of the main types of blood cells. They are biconcave discs with a diameter of about 7.5 micrometers, and their primary function is to transport oxygen from the lungs to the tissues and carbon dioxide from the tissues to the lungs.

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Answer: Solve for a: a = \(\frac{8n+1}{n}\)

Solve for n: \(n=\frac{1}{a-8}\)

Step-by-step explanation:

solve for n: Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.

solve for a: Divide each term in an = 9 + (n−1) ⋅ 8 by n and simplify.

The surface area of the cone is 75.41 cm².

The diagram above is a cone. The surface area of the cone can be found as follows:

Surface area of a cone = πr(r + l)

where

Therefore,

r = 3 cm

l = 5 cm

Surface area of a cone = 3.142 × 3 (3 + 5)

Surface area of a cone = 3.142 × 3 × 8

Therefore,

Surface area of a cone = 75.41 cm²

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Answer:

Step-by-step explanation:

y>x+1

Answer: 2,520 distinct permutations can be formed from all of the letters of the word Houston.

Answer:

Step-by-step explanation:

1) If you really meant X^2+12=40, then this simplifies to x^2 = 28, and therefore x = ±√28, or x = ±2√7.

2) If you meant X^2+12x=40:

a) Take half of the coefficient of x:  that would be (1/2)(12), or 6.  

b) Square this result, obtaining:  6² = 36

c) Add this 36 to x^2 + 12x + 40, and then subtract it:  We get:  

x² + 12x + 36 - 36 = 40, or x² + 12x + 36 = 76

We have to add 36, as indicated above, to "complete the square."

Answer:

Kite A ascends to a height of 36 feet

Step-by-step explanation:

21 + 15 = 36

Answer:

Kite A is now at 36 feet.

Step-by-step explanation:

Ascend means go up, so adding 15 to 21 gives you your answer.

Answer:

TAN!!!!!!!!!!!!

Soh Cah toa

The number of terms of the arithmetic sequence with a1= -3, d= 2, Sn= 21 is given as follows:

7 terms.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

\(a_1\) is the first term of the arithmetic sequence.

The sum of the first n terms is given by the equation presented as follows:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

The nth term of the sequence for this problem is given as follows:

\(a_n = -3 + 2(n - 1)\)

\(a_n = -5 + 2n\)

Considering the sum of 21, the number of terms is obtained as follows:

42 = n(-3 - 5 + 2n)

2n² - 8n - 42 = 0

n² - 4n - 21 = 0.

(n - 7)(n + 3) = 0.

The positive root, as the number of terms must be positive, is given as follows:

n - 7 = 0

n = 7.

The complete question is:

"Obtain the number of terms of the arithmetic sequence with a1= -3, d= 2 and Sn= 21"

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Answer:

x^2+10x+25

Step-by-step explanation:

(x+5)^2

(x+5)(x+5)

x^2+5x+5x+25

x^2+10x+25

Answer:6.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length of the third board = Total length - ( sum of other two boards)

                                         = 21.35 - ( 8.2 + 6.42)

                                        = 21.35 - 14.62

                                       =      6.73 m

Answer:

108.56

Step-by-step explanation:

First find the amount of the tip

92 * 18%

92 * .18

16.56

Add this to the amount of the bill

92+16.56

108.56

Answer:

108.56

Step-by-step explanation:

92$ + .18*92 = 108.56$

the number is 249

4 is the digit in the tens

9 is the digit in the units

and the number is between 200 and 300

Answer:

x = 130°

Step-by-step explanation:

number of sides = 6

the sum of the total interior angles = (6 x 180) - 360 = 720°

x = 720 - 125 - 120 - 100 - 120 - 125 = 130°

Answer:

B.2≤x≤5

Step-by-step explanation:

Answer:

Option B is the correct answer

Step-by-step explanation:

\( 2 \leqslant x \leqslant 5\) is the domain of the given problem.

The gallon used by the first car is 35 gallons and the gallon used by the first car is 25 gallons.

The first step is to form a system of linear equation:

35a + 20b = 1725 equation 1

a + b = 60  equation 2

Where:

The elimination method would be used to solve this question.

Multiply equation 2 by 35:

 35a + 35b = 2100  equation 3

Subtract equation 1 from equation 3:

15b = 375

Divide both sides of the equation by 15:

b = 375 / 15

b = 25

Substitute for b in equation 2 :

a + 25 = 60

a = 60 - 25

a = 35

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Answer:

B. 73°

Step-by-step explanation:

Answer:

line segment rigthjjlkkk

On solving the provided question, we can say that the probability that at least two students pick the same integer is = 10/10 = 1

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

here,

number of favorable  outcome = 1,2 ; 2,3; 3,4; 4,5; 5,6; 6,7; 7,8;8,9;9,10; 1,10

number of total outcome = 10

probability = 10/10 = 1

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The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

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The length of the inside of the garden is 50 feet.

What is perimeter ?

A perimeter is a closed path that covers, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter.

There are various practical applications for calculating the perimeter. A calculated perimeter is the length of fencing needed to completely encircle a yard or garden. The perimeter (circumference) of a wheel/circle describes how far it will roll in one revolution. Similarly, the amount of string wrapped around a spool is proportional to the spool's perimeter; if the string length were correct, it would equal the perimeter.

Given :

The rectangular garden has a perimeter of 280 feet

breadth = 90 feet

Let the length be x.

Therefore according to the question,

2( 90 + x ) = 280

=> 90+ x = 140

=> x = 50

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Since the information about variable 'q' is not provided, it is not possible to determine the remainder when q is divided by 6 based on the given context.

The question states that x is a positive integer such that x ≥ 75, but it does not provide any information about the variable 'q'. Without knowledge of the value or any relationship between 'q' and 'x', we cannot determine the remainder when 'q' is divided by 6.

The remainder will depend on the specific value of 'q' and how it relates to the number 6. Therefore, without further information, it is not possible to determine the remainder when 'q' is divided by 6.

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When a base graph is multiplied by a particular factor greater than 1, vertical stretch happens. As a result, the graph is stretched outward while keeping the input values (or x). We anticipate that the y values in a function's graph will be further away from the x-axis when it is vertically extended.

To find the vertical stretch of a rational function, you can look at the function's graph. The vertical stretch of the function is the factor by which the function is stretched or compressed vertically compared to the parent function.

For example, consider the function f(x) = (x^2 + 1)/(x + 1). The parent function for this function is y = x^2. To find the vertical stretch of f(x), you can compare the graph of y = x^2 to the graph of f(x). If the graph of f(x) is stretched vertically by a factor of 2 compared to the graph of y = x^2, then the vertical stretch of f(x) is 2.

Alternatively, you can also find the vertical stretch by looking at the function's expression. If the function has a factor of k in the numerator, but not in the denominator, then the vertical stretch is k. For example, in the function g(x) = 2(x^2 + 1)/(x + 1), the vertical stretch is 2.

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The quadrilateral ABCD indicates that it is a rhombus.

A quadrilateral with four equal-length sides is known as a rhombus in plane Euclidean geometry (plural rhombi or rhombuses). Another name for this object is an equilateral quadrilateral because all of its sides are equal in length.

The rhombus is frequently referred to as a "diamond" after the diamonds suit in playing cards, which resembles the projection of an octahedral diamond, or as a "lozenge," though the former term is occasionally used to refer specifically to a rhombus with a 60° angle which some authors refer to as a calisson after the French sweet , and the latter term is occasionally used to refer specifically

Lets mark the given points onto a graph

As you can see in the graph,

The points given for quadrilateral ABCD indicates that its is a rhombus

As, All sides are equal

opposites sides are parallel

Thus, The quadrilateral ABCD indicates that it is a rhombus.

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Answer:

Real-life problem:

A farmer has a rhombus-shaped field with a side length of 50 meters and a height of 30 meters. He wants to build a fence around the field to keep his cows from wandering off. If he plans to use wire fencing that costs $4 per meter, how much will he spend on fencing?

Solution:

To find the perimeter of the field, we need to calculate the length of each side. Since a rhombus has four equal sides, we can use the Pythagorean theorem to find the length of each side:

a^2 + b^2 = c^2

where a and b are the side lengths, and c is the diagonal.

Since the height of the rhombus is 30 meters and the side length is 50 meters, we can use these values to find the diagonal:

c^2 = 30^2 + 50^2

c^2 = 900 + 2500

c^2 = 3400

c = sqrt(3400)

c = 58.31 meters

Therefore, the perimeter of the field is 4 x 50 = 200 meters.

The farmer plans to use wire fencing that costs $4 per meter. So, the total cost of fencing will be:

Cost = perimeter x cost per meter

Cost = 200 x 4

Cost = $800

Answer:

The farmer will spend $800 on fencing the rhombus-shaped field.

Answer:

-112x²y

Step-by-step explanation:

The expression \(-2xy 4 (7x^2 )\) can be simplified as \(-112x^2y\)

A finite collection of symbols that is well-formed in accordance with context-dependent principles is called an expression or a mathematical expression. In mathematics, a statement is considered to be an expression if it contains at least two different integers (known or unknown) and at least one operation.

Given that \(-2xy 4 (7x^2 )\)

Then we can see that there are two x, then we can multiply together, then multiply 4 and 7 together as;

\(-112x^2y\)

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Answer:

k = 30

Step-by-step explanation:

an equation of proportionality has the form

y = kx ← k is the constant of proportionality

y = 30x ← is in this form

with k = 30

Your chance of being chosen to attend the festival is approximately: Probability = 1 / 23 ≈ 0.0435 or 4.35% when rounded to four decimal places.

To determine your chance of being chosen to attend the festival, you need to find the probability of your name being

drawn from the basket.

There are 22 other people in class, and each person, including you, will have their name on a piece of paper.

Total number of names in the basket = 22 (other people) + 1 (you) = 23

Since each person has an equal chance of being chosen, the probability of your name being drawn is:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Probability = 1 (your name) / 23 (total names)

So, your chance of being chosen to attend the festival is approximately:

Probability = 1 / 23 ≈ 0.0435 or 4.35% when rounded to four decimal places.

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