the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data sample, how many of them were in the 75 to 80 range?

Answer:

vertical change is -3 and horizontal change is 1

adding slope answer in a little bit

Answer:

The slope of the question is \(-3\).

Step-by-step explanation:

                                        Values

Vertical Change                 -9

Horizontal Change             3

Slope                                \(-3\)

Answer:

a)Volume 390ft3. Surface area 450ft2

b)surface area

c)volume

Step-by-step explanation:

2*15*13=390

2*15*2=60+15*13*2=390

If a patient is given a β1 receptor agonist, it would be expected to activate β1 adrenergic receptors, which are primarily located in the heart.

This could lead to an increase in heart rate and contractility, as well as increased cardiac output. β1 receptor agonists are commonly used to treat conditions such as heart failure, shock, and certain types of arrhythmia. However, they can also have side effects such as tachycardia (abnormally fast heart rate), palpitations, and increased blood pressure. It is important to note that the specific effects of a β1 receptor agonist can vary depending on the dose and the individual's physiological response.

Learn more about β1 arrhythmia here: brainly.com/question/30870297

#SPJ4

The link between the base price and the selling price with the markup is expressed differently in both equations, but they are both true and accurately depict the same scenario using the distributive property.

A basic tenet of mathematics is the distributive property of multiplication over addition, which asserts that the product of a number and a sum is equal to the total of the products of the number and each addend. In other words, if a, b, and c are all real numbers, then a(b + c) = ab + ac. By factoring out common components, this characteristic is employed in algebra to simplify statements and resolve equations.

The link between the base price and the selling price with the markup is expressed differently in both equations, but they are both true and accurately depict the same scenario using the distributive property.

Learn more about distributive property here:

https://brainly.com/question/5637942

#SPJ1

Answer:

B

Step-by-step explanation:

The volume is the height x area of base, 27pi / 3 = 9pi

Area of base is radius square x pi, 9 pi = 3^2 x pi

The radius of a cylinder with volume of 27π is 3 centimetres.

volume of a cylinder = πr²h

where

Therefore,

r = ?

h = 3 cm

volume = 27π

Hence,

27π = π × r² × 3

divide both sides by 3π

r² = 27π / 3π

r² = 9

r = √9

r = 3 cm

learn more on volume here: https://brainly.com/question/23675561

#SPJ2

Slugging average is more indicative of a good batter rather than batting average.

The total number of bases a player accumulates per at-bat is represented by slugging percentage. In contrast to on-base percentage, which takes walks and hit-by-pitch pitches into account, slugging percentage simply considers hits. Slugging average is distinct from batting average in that not every hit is worth the same amount.

Given

Since Barrow is looking for a good batter for his team

In my point of view, Slugging average is more indicative of a good batter.

The slugging percentage is a player's average number of bases per at-bat. Slugging percentage, unlike on-base percentage, solely accounts for hits and excludes walks and hit-by-pitch pitches from its computation. In contrast to batting average, slugging percentage does not reward every hit equally.

To learn more about slugging average, visit:

https://brainly.com/question/12644610

#SPJ1

The player in they Powerball lotter has a chance of winning the jackpot if all six numbers they pick match the numbers drawn.

To win the Powerball jackpot, the player must correctly match all six numbers drawn. The player selects five different integers between 1 and 69, inclusive, and a sixth integer between 1 and 26, which can duplicate one of the earlier five numbers. If all six numbers, including the duplicated one, match the numbers drawn, the player wins the jackpot.

The Powerball lottery operates on the principle of selecting five main numbers and one additional number, known as the Powerball. The odds of winning the jackpot are typically quite low due to the large number of possible combinations. However, if all six numbers, including the duplicated one, are an exact match to the numbers drawn, the player becomes the jackpot winner.

Learn more about Powerball lottery

brainly.com/question/15047301

#SPJ11

The equation that will be  used to determine the population, y, of Log Village x years after 2010 is y= 1800(1.09)ˣ

What is equation?

An equation is a mathematical statement which is made by two expressions connected by an equal sign. For example, 3x – 8 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 8.

The population of Log Village is 1800 in 2010, and the population increases each year by 9%.

Initial population(p)= 1800

rate of increase(r)= 9%

Time(t)= x years.

The formula for the population after n years is p(1+r/100)ⁿ.

To determine the equation for the population after x years we have to put the values in the above expression.

So putting all the values we get,

The population, y, of Log Village x years after 2010 is

          y= 1800( 1+9/100)ˣ

          y= 1800(1.09)ˣ

Hence, The equation that will be  used to determine the population, y, of Log Village x years after 2010 is y= 1800(1.09)ˣ

To know more about population check the below link:

https://brainly.com/question/25630111

#SPJ1

Answer:

13, 14

Step-by-step explanation:

(x) + (x + 1) = 27

2x + 1 = 27

    - 1    - 1

2x = 26

2x/2 = 26/2

x = 13

x + 1 = 14

smaller page number: 13

larger page number: 14

The slant height of the Teepee is 32.76 feet.

The square footage of one of the rooms is 44 square feet.

Check the attached for the sketch of the cone. From the image, the slant height is labelled l. Note that the base diameter is 14 feet, so the base radius will be 7 feet.

(a) Thus, the slant height can be found by considering one of the right triangles in the cone. That is:

l² = 32² + 7²   (Pythagoras Theorem)

l²  = 1024 + 49

l = √1073

l = 32.76 feet

(b) The shape of base is a circle.

Area of circle = πd

where d is the base diameter

Area of circle = 22/7 * 14

Area of circle = 44 square feet

Thus, the square footage of one of the rooms is 44 square feet

Learn more about area on:

brainly.com/question/22972014

#SPJ1

Based on the information in the graph, we can infer that the missing numbers are: 9, 4, 19, 30, 84, 16, 8, 22, and 40.

To complete the table correctly we must identify the columns or rows with more data. These will be the easiest to complete. First of all, we must fill in those that already have a number in the total box because we can add the available numbers and later subtract them from the total to identify the missing number.

We can also find the numbers in the total cells by adding all the numbers in a column or row to find this result. Finally, the boxes that are being completed serve as clues to complete the others.

Learn more about tables in: https://brainly.com/question/10670417

#SPJ1

The type of survey that is utilized to determine the extent of problems in a certain area and then express the findings as rates affected within the population is known as an epidemiological survey.

What is an epidemiological survey?

An epidemiological survey is a type of survey used to understand the prevalence and incidence of particular health problems in a particular population. In addition, epidemiological surveys are utilized to determine the causes, transmission, and treatment of these problems.

Epidemiological studies are classified according to the types of questions that they are designed to answer. They are as follows:

Descriptive studies: These studies describe the incidence, prevalence, and distribution of diseases in populations.

Analytical studies: These studies are concerned with determining the causative factors of diseases in populations.

Experimental studies: These studies determine the efficacy and safety of new treatments for diseases.

Learn more about epidemiological survey here:

https://brainly.com/question/13497485

#SPJ11

Answer:

0.41

Step-by-step explanation:

because its 0.41 it cant be reduced or messed with so your answer is 0.41

The maximum possible value of the dot product (u · v) between two vectors u and v is 27 when they are aligned, while the minimum possible value is -27 when they are in opposite directions. For the magnitude of the difference vector (∥u - v∥), the maximum value is 12 when u and v are completely separated, and the minimum value is 0 when u and v coincide.

(i) To find the maximum and minimum possible values of u · v, we can use the properties of vector dot product. The dot product of two vectors u and v is given by the equation:

u · v = ∥u∥ ∥v∥ cos θ

where θ is the angle between the two vectors.

Since ∥u∥ = 3 and ∥v∥ = 9, we have:

u · v = 3 * 9 * cos θ = 27 cos θ

The maximum value of cos θ is 1 when the vectors are aligned, so the maximum possible value of u · v is 27 * 1 = 27.

The minimum value of cos θ is -1 when the vectors are oppositely aligned, so the minimum possible value of u · v is 27 * (-1) = -27.

(ii) To find the maximum and minimum possible values of ∥u - v∥, we can use the triangle inequality for vectors. The triangle inequality states that for any two vectors u and v, the magnitude of their difference ∥u - v∥ is less than or equal to the sum of their magnitudes:

∥u - v∥ ≤ ∥u∥ + ∥v∥

Substituting the given magnitudes, we have:

∥u - v∥ ≤ 3 + 9 = 12

Therefore, the maximum possible value of ∥u - v∥ is 12.

The minimum possible value of ∥u - v∥ occurs when the vectors u and v are aligned, resulting in their difference being zero. So, the minimum possible value of ∥u - v∥ is 0.

To know more about vectors refer to-

https://brainly.com/question/24256726

#SPJ11

Answer:

$161.34

Step-by-step explanation:

Answer:161.34 thats the price with tax added if thats what youre asking. if not its 8.98865 or 8.99

i rounded up

161.33865

Step-by-step explanation:

you have to multiply the tax rate by the price but change the rate to a decimal first which is 0.059. that gives you 8.99 then add that to the price.

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\(( x + 1 ) ^ { 2 } - 5 x ( x + 3 ) ( x - 3 )\)

Use binomial theorem \(\left(a+b\right)^{2}=a^{2}+2ab+b^{2}\) to expand \(\left(x+1\right)^{2}\).

\(x^{2}+2x+1-5x\left(x+3\right)\left(x-3\right) \)

Use the distributive property to multiply -5x by x+3.

\(x^{2}+2x+1 + (-5x^{2}-15x)(x-3)\)

Use the distributive property to multiply \(-5x^{2}-15x\) by x-3 and combine like terms.

\(x^{2}+2x+1-5x^{3}+45x \)

Combine 2x and 45x to get 47x.

\( \boxed{\boxed{\bf\:x^{2}+47x+1-5x^{3} }}\)

Follow the same steps till \(x^{2}+2x+1-5x^{3}+45x \) and then use the algebraic identity ⇨ a + 2ab + b² = (a + b)²

\(\boxed{\boxed{\bf\:-5x^{3}\left(x+1\right)^{2}+45x}}\)

A cylinder which is option B is a geometric figure which has two circular bases lying in parallel planes.

One of the fundamental three-dimensional forms in geometry is the cylinder, which has two distant, parallel circular bases. At a certain distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases.

The cylinder has two key characteristics, namely surface area and volume, because it is a three-dimensional form. The combined curved surface area of the cylinder and the areas of the two circular bases make up its whole surface area. A cylinder's volume is the term used to describe the three-dimensional space it takes up.

A cylinder is a three-dimensional solid in mathematics that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases.

Learn more about Cylinder:

https://brainly.com/question/27440983

#SPJ4

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

Learn more about differential equation here:

https://brainly.com/question/32524608

#SPJ11

We can conclude that it is unlikely to obtain a random sample of size 9 from this population with a mean of 24 and a standard deviation of 4.1 because the sample mean of 24 is different from the population mean of 20.

To answer this question, we can use a t-test to determine if the sample mean of 24 is significantly different from the population mean of 20.

The t-test formula is:

t = (x' - μ) / (s / √(n))

Where x' is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the question, we get:

t = (24 - 20) / (4.1 / √(9)) = 2.93

To determine if this t-value is significant, we need to compare it to the critical t-value for a two-tailed test with 8 degrees of freedom (n-1). Using a t-table or calculator, we find the critical t-value to be approximately 2.31 at a 5% significance level.

Since our calculated t-value of 2.93 is greater than the critical t-value of 2.31, we can reject the null hypothesis that the sample mean is equal to the population mean.

To learn more about population click on,

https://brainly.com/question/29507960

#SPJ4

There are 462 ways to divide 12 people into two unordered groups of size 6

What are the 2 types of combination and permutation?

Permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor

a) Divide the 12 people into three groups of sizes 2, 4 and 6 as follows:

Choose 2 people out of 12 for the first group. This can be done in C(12,2) = 66 ways.  Choose 4 people from the remaining 10 in the second group. This can be done in C(10,4) = 210 ways.  The remaining 6 people form the third group.  Therefore, the total number of sections of 12 people in three groups of sizes 2, 4 and 6 is:

66 * 210 = 13860

(b) To divide 12 people into two unordered groups of size 6, we can use the concept of combination. In the first group, we want to select 6 people out of 12, which can be done in C(12,6) = 924 ways. The remaining 6 people automatically form another group.

, since we are only interested in the two groups, not their order, we must divide by two to avoid counting the same section twice. So the total number of sections of 12 people is two unordered groups of size 6:

C(12,6)/2 = 924/2 = 462.  

Therefore, there are 462 ways to divide 12 people into two unordered groups of size 6.

Learn more about Permutations and combinations here

https://brainly.com/question/28720645

#SPJ1

Answer:

x = 18.5

Step-by-step explanation:

103 + 4x + 3 = 180

4x + 106 = 180

4x = 74

x = 18.5

Answer: he needs to mesure

Step-by-step explanation:

The Area of annulus - the region between the two circle is 50.26cm²

According to the question,

The length of chord of the large circle which is tangent to the small circle : AB = 8cm

Le the radius of large circle "R" and radius of smaller circle "r"

AB is a tangent to the smaller circle

AM = 8/2

=> AM = 4cm

In ΔOAM,

Using Pythagoras theorem ,

OA² = OM² + AM²

=> R² = r² + (4)²

=> R² - r² = 16

So, the area of annulus = π(R² - r²)

=> 16π (putting π = 3.14)

=> 50.26cm² is required area

To know more about Annulus here

https://brainly.com/question/22826138

#SPJ4

Answer:

When a triangle is translated, it means the triangle is moved away from its original position.

When the coordinates of a triangle, and the coordinate of only one point of the image are given, the translation rule is calculated by subtracting the coordinates of the pre-image from the image.

From the question, we understand that:

The vertices of the triangle are known. Assume they are:

\begin{gathered}A= (1,1)\\ B = (3,5) \\ C = (4,-1)\end{gathered}A=(1,1)B=(3,5)C=(4,−1)

The vertex of one of the image is also known. Assume the point is:

A' = (3,-1)A′=(3,−1)

To calculate the translation rule;

We simply subtract the vertices of the image from the pre-image.

In this case, the translation rule would be:

T < x,y > = A' - AT<x,y>=A′−A

So, we have:

T < x,y > = (3,-1) - (1,1)T<x,y>=(3,−1)−(1,1)

Rewrite as:

T < x,y > = (3 -1 ,-1 - 1)T<x,y>=(3−1,−1−1)

T < x,y > = (2 ,-2)T<x,y>=(2,−2)

So, the translation rule is:

T_{ < x,y > } (x,y) \to (x + 1, y - 1)T<x,y>(x,y)→(x+1,y−1)

Hence, the translation rule can be derived by subtracting the coordinates of the pre-image from the image.

Answer:

Translations move every point the same distance and direction.

Use the given image to determine the translation rule.

Plot the remaining vertices using the rule.

Answer: C. The most accurate measure of center to represent the data in this case is the median of 20.

Step-by-step explanation: The median is the middle value in a dataset when the data is arranged in ascending or descending order. In this case, the donations are: 10, 10, 10, 10, 15, 15, 15, 19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55.

When we arrange these values in ascending order, we get: 10, 10, 10, 10, 15, 15, 15, 19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55.

The median is the value that separates the dataset into two equal halves. In this case, there are 18 values, so the middle value is the 9th value, which is 20.

The reason the median is the most accurate measure of center to use in this case is because the data is skewed. Skewness refers to the asymmetry in the distribution of data. In this case, the data is skewed to the right because there are a few large values (55) that pull the mean higher than the majority of the values.

Using the mean, which is calculated by summing all the values and dividing by the total number of values, would be influenced by these large values and may not accurately represent the typical donations received by the charity.

The ending balance is $1032.5.

What is simple interest?

Simple interest is an interest rate that is solely calculated on the principal amount or the portion of the principal that is still owed. It does not take compounding into account. Simple interest may be used on a schedule other than annually, such as every month, week, or even every day.

Here, we have

Given: P = $2,500, r = 5.9%, t = 7 years

Convert 5.9% to a decimal

5.9% = 5.9 ÷ 100

 = 0.059

Substitute the values into the simple interest formula,

I = Prt   and we get

I = Prt

= 2500 × 0.059 × 7

= $1032.5

Hence, the ending balance is $1032.5.

To learn more about the simple interest from the given link

https://brainly.com/question/25793394

#SPJ1

Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation: