HELP ANSWERpleaseeee im timed

HELP ANSWERpleaseeee Im Timed

Answers

Answer 1

The percentage of the campers that are participating in a nature hike that are females is 57.1% (first option)

What is the percentage?

Percentage is the fraction out of an amount expressed as a number out of hundred. The sign that is used to represent percentage is %. In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.

Percentage of the campers that are participating in a nature hike that are females = (number of females in the nature hike / total number of campers in the nature hike) x 100

Total number of campers in the nature hike = 20 + 15 = 35

Percentage of the campers that are participating in a nature hike that are females = (20 / 35) X 100 = 57.1%

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Related Questions

Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. The article "Biomechanics in Augmentation Rhinoplasty" (J. of Med. Engr. and Tech., 2005: 14–17) reported that for a sample of 15 (newly deceased) adults, the mean failure strain (%) was 25.0, and the standard deviation was 3.5. a. Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. b. Predict the strain for a single adult in a way that conveys information about precision and reliability. How does the prediction compare to the estimate calculated in part (a)?

Answers

Main answer: mean = 23

supporting answer: Agraphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.

body of the answer: given total number of samples=15

 percentage of failure stain=25 percent=0.25

 standard deviation=3.5

a. formula used=z=x- mean/standard deviation

p(0.25<x<0)

z=25-mean  /3.5

0.6*3.5=25-mean

mean=25-0.6*3.5

           =22.9

since A(0.25)=0.6

b. for 15 adults the mean is 23

for one adult =23/15

                     =1.533

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The mean for the given statistic problem is 23.

The strain for a single adult in a way that conveys information about precision and reliability is 1.533.

What is normal distribution?

A graphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.

Given total number of samples=15

percentage of failure stain=25 percent=0.25

standard deviation=3.5

a. formula used=z=x- mean/standard deviation

p(0.25<x<0)

z=25-mean  /3.5

0.6*3.5=25-mean

mean=25-0.6*3.5

          =22.9

since A(0.25)=0.6

b. For 15 adults the mean is 23

For one adult =23/15

                    =1.533

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A salesperson at a jewelry store earns 8% commission each week. Last week, Heidi sold $710 worth of jewelry . How much did she make in commission ? How much jewelry did the jewelry store make from her sales?

Answers

56.8 is the commision

In a class of 94 students taking mathematics biology and chemistry, equal number of students are taking only 2 subjects. The number of students taking maths,biology and chemistry are40,35 and38 respectively. Seven students are taking maths and biology. Find

I. The number of students taking all courses

II. The number of students taking maths biology and chemistry

III. The number of students taking biology and chemistry

Answers

By using Venn Diagram, it can be calculated

I) The number of students taking all courses = 2

II) The number of students taking mathematics biology and chemistry = 2

III) The number of students taking biology and chemistry = 5

What is a Venn Diagram?

Venn Diagram is a diagram used to show the relationship between two or more sets.

This problem can be solved using Venn diagram

The Venn diagram has been attached here

Number of students taking maths and biology =7

Number of students taking chemistry and biology = 7

Number of students taking maths and chemistry = 7

Let the number of students taking all three courses be x

Number of students taking Maths = 40

Number of students taking maths only = 40 - 7 - 7 + x = 26 + x

Number of students taking Biology = 35

Number of students taking Biology only = 35 - 7 - 7 + x = 21 + x

Number of students taking Chemistry = 38

Number of students taking chemistry only = 38- 7 - 7 + x = 24 + x

Number of students taking maths and biology only = 7 - x

Number of students taking maths and Chemistry only = 7 - x

Number of students taking chemistry and biology only = 7 - x

Total number of students = 26 + x + 21 + x + 24 + x + 7 - x + 7 - x + 7 - x + x

                                           = 92 + x

By the problem,

92 + x = 94

x = 94 - 92

x = 2

I) The number of students taking all courses = 2

II) The number of students taking mathematics biology and chemistry = 2

III) The number of students taking biology and chemistry = 7 - 2 = 5

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33. Let M2x2 be the vector space of all 2x 2 matrices, and define T : M2x2 → Mo by T(A) A + AT, where a. Show that T is a linear transformation. b. Let B be any element of M2 c. Show that the range of T is the set of B in M2x2 with the d. Describe the kemel of T such that BT B. Find an A in M2xz such that T(A) B property that B B

Answers

a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.

b) T(A)=B, if B be any element of M₂

c) Range of T=={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}

What is meant by matrix?

A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.

A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.

Define T: [tex]M_{ 2*2}[/tex] ⇒ [tex]M_{ 2*2}[/tex] by T(A)=A+[tex]A^{T}[/tex]

a) Let T is a linear transformation

Consider K₁A₁+K₂A₂ ∈  [tex]M_{ 2*2}[/tex]

T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)[tex]( K₁A₁+K₂A₂)^{T}[/tex]

= K₁T(A₁)+K₂T(A₂)

T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)

Therefore, T is a linear transformation.

b) Let B∈ [tex]M_{ 2*2}[/tex] such that [tex]B^{T}[/tex]=B

Therefore, B is a symmetric matrix.

Let A=(1/2)B∈ [tex]M_{ 2*2}[/tex]

T(A)=A+[tex]A^{T}[/tex]

=(1/2)B+[tex](1/2B)^{T}[/tex]

T(A)=B

A=(1/2)B such that T(A)=B

c) Range of T is the set of B in  [tex]M_{ 2*2}[/tex], [tex]B^{T}[/tex]=B

T( [tex]M_{ 2*2}[/tex])={B∈ [tex]M_{ 2*2}[/tex]/ [tex]B^{T}[/tex]=B}

d) Kernel of T={A∈ [tex]M_{ 2*2}[/tex]/T(A)=0)

={A∈ [tex]M_{ 2*2}[/tex]/A+[tex]A^{T}[/tex]=0}

={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}

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T = c · T(A) (A).T = \s1 \s2 \sB + \s1 \s2 \sB = B.The matrix 0 1 1 0 serves as the basis for ker(T).What is vector space?

Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.

T is a linear transformation, therefore demonstrate it.

b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.

c) Explain the T kernel.

a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.

Additions: T(A+B) = A+B+A+B T = A+B+A T +B

T = (A + A T ) + (B + B T ) = T(A) + T (B).

Scalar multiplication

T(c · A) = (c · A)

T = c · A

T = c · T(A) (A).

b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.

T = \s1 \s2 \sB + \s1 \s2 \sB = B.

c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.

If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.

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if A shop owner offered a 20% discount off the regular price of a mirror. The amount of the

discount is $3.

What is the regular price of the mirror?
Pls Help

Answers

X•20/100=3

X=30/2

X=15

So the regular price is $ 15
20% -> $3
1% -> $3÷20=$0.15
100%-> $0.15*100=$15

Answer: $15

О
A
13x + 13
7x+7
60°
с
B

Answers

Answer:

x = 9

Step-by-step explanation:

(7x + 7) + 60 = 13x + 13 (exterior angle)

7x + 67 = 13x + 13

6x = 54

x = 9

Help please thank you!

Answers

The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.

What are Sets?

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The two sets are given below.

F = {v | v < 4}
H = {v | v ≥ 7}

The sets that represent the union of set F and set H will be given as,

F∪H = (-∞, 4) ∪ [7, ∞)

The sets that represent the intersection of set F and set H will be given as,

F∩H = {null}

The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.

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1. Tyler was driving to the grocery store. As he was turning into the parking lot he was rear-ended by Harold. Tyler's head hit the steering wheel and he was taken to the hospital by ambulance. Harold failed to pay his insurance premium for several months and his policy was canceled. What type of automobile insurance coverage(s) is needed in this situation?

Answers

The type of automobile insurance coverage that is needed in this problem is of:

Liability coverage.

What are the types of car insurance coverage?

The types of car insurance coverage are listed as follows:

Liability coverage.Uninsured and underinsured motorist coverage.Comprehensive coverage.Collision coverage.Personal Injury coverage.

In this problem, the situation is that Harold caused a collision that resulted in injuries to Tyler, who has to pay the ambulance/hospital bill.

This means that Harold is liable to the injuries caused to Tyler, meaning that he needs liability coverage to help pay the hospital/ambulance bill, as collision coverage and personal injury coverages are for the victim and not for the person that caused an accident.

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the hudson valley renegades stadium hold a maximum of 4,505 people. During the height of their popularity, they sold out 219 consecutive games. how many tickets were sold during this time?

Answers

Answer:

Step-by-step explanation:

4,505 tickets were sold 219 times.

4,505 x 219

The answer is 986,595

Determine the critical value za2 that corresponds to a 90% confidence interval.
A. 0.82
OB. 1.645
OC. 1.28
D. 1.34

Answers

The value of [tex]z_{\alpha /2}[/tex] that corresponds to a 90% confidence interval is

B. 1.645

What is confidence level?

The confidence level is the likelihood that, if you repeat your experiment or resample the population in the same manner, you will come close to arriving at the same estimate.

The estimate's upper and lower bounds are what make up the confidence interval for a particular level of confidence.

For 90%confidence interval = 0.9

significance level, α = 1 - 0.9 = 0.10

For two tailed test, α/2 = 0.05

using z table

0.0505 = -1.64

0.05 = x

0.0495 = -1.65

solving for x by interpolation

(0.0505 - 0.05) / (0.05 - 0.0495) = (-1.64 - x) / (x - -1.65)

0.0005(x + 1.65) = 0.0005(-1.64 - x)

x + x = -1.64 - 1.65

x = -1.645

from z tables at 90% confidence interval in two tailed test the score is found to be 1.645

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In a company, 90% of the workers are woman. If 430 people work for the company who aren’t woman, how many workers are there in all? Use pencil and papare. Show two different ways that you can solve this problem

Answers

4300 workers are there in all.

What is algebra?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for using these symbols in formulas.

Here, we have

In a company, 90% of the workers are women.

430 people work for the company who aren’t women.

% of male = 10%

Now,

10% of x = 430

10÷100 × x = 430

x = 4300

Hence, 4300 workers are there in all.

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Which equation represents the partial sum of the geometric series? 125 + 25 + 5 + 1.

Answers

The correct option which represents  sum expressed in sigma notation is A.

What is sigma notation?

A series is represented in an exceedingly compact type, referred to as summation or sigma notation. The greek capital letter, ∑ , is employed to represent the total.

The series 4+8+12+16+20+24 is expressed as ∑n= 4n . The expression is browse because the total of 4n as n goes from one to six . The variable n is termed the index of summation.

The geometric series.

Main body:

∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.

Now, Calculate the partial sum of the geometric series as;

The geometric series = ∑ 125 (1/5)ⁿ⁻¹

Substitute n = 1, 2, 3, 4, we get;

= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹

= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³

= 125 + 25 + 125/25 + 125/125

= 125 + 25 + 5 + 1

Thus, The partial sum of the geometric series is;

⇒ 125 + 25 + 5 + 1

Option A is true.

The correct question is in the figure.

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1/10 divided by 5 2/5

Answers

Answer: 1/54

Step-by-step explanation:

5 2/5 = 27/5

1/10 divide by 27/5 =

1/10 times 5/27 =

5/ 270 = 1/54

By percent, how much smaller does the sale of horror books appear to be than the sale of fantasy books? How much smaller is it in reality? a. Horror sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller. B. Horror sales appear to be only 80% of fantasy sales, but they are actually only about 4% smaller. C. Horror sales appear to be only 67% of fantasy sales, but they are actually only about 15% smaller. D. Horror sales appear to be only 20% of fantasy sales, but they are actually only about 13% smaller

Answers

Although horror book sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller, that is, option a.

Here, we are given a graph as shown in the figure below.

Just by looking at the graph it appears that that horror books are 50% of fantasy book sales.

From the graph we have the following data-

Number of horror books sold = 55

Number of fantasy books sold = 60

Number of extra fantasy books than horror books = 60 - 55

= 5

Thus, in percentage terms horror books will be - (5/60) % smaller than fantasy books

= 8.33%

Therefore, although horror book sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller, that is, option a.

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Your question was incomplete. Check for the missing graph below.

If the rate of inflation is 2.8% per year, the future price p (t) (in dollars) of a certain item can be modeled by the following exponential function, where it is the
number of years from today.
p(t) = 800 (1.028)
Find the current price of the item and the price 10 years from today.
Round your answers to the nearest dollar as necessary.
Current price:
Price 10 years from today: $

Answers

Para calcular la tasa de inflación, debemos seguir una serie de pasos.

Para ello, hemos propuesto un ejemplo en el que, paso a paso, calcularemos para un caso real la tasa de inflación.

Imaginemos que hacemos un listado de las compras realizadas en un año determinado, el cual tomamos como base. Esta compra incluye, a la hora de elaborar un listado, una serie de productos, todos ellos con sus respectivos precios. Productos que, en este caso, son barras de pan, cafés, servicios de taxi y un pantalón de vestir.

En primer lugar, lo que debemos hacer es calcular el gasto de cada producto, para ello, multiplicando las cantidades de cada producto o servicio adquiridas, por el precio que se pagó por cada una de ellas, así como por los servicios.

En este caso, sería lo siguiente:

Barras de pan: 1,50€ x 150 = 225€.

Cafés: 2,40€ x 100 = 240 €.

Taxi: 5€ x 40 = 200€.

Pantalón: 120€.                    

espero haberte ayudado

The F distribution's curve is positively skewed.
T/F

Answers

Answer: True

Step-by-step explanation:

-The f-distribution curve is positively skewed towards the right with a range of 0 and ∞

The value of F is always positive or zero. It never has negative values.

What is the slope of this graph?

Responses

Answers

Answer:

slope = -4

Step-by-step explanation:

A (-2,5)

B (0, -3)


slope = (-3-5)/(0-(-2)

-8/2

-4

what is the slope of line g​

Answers

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}} \implies \cfrac{ -3 }{ 1 } \implies \text{\LARGE - 3}[/tex]

serena's company decided to reduce the number of levels within the job structure and as a result, she has 20 more people who report to her. her company implemented .

Answers

Serena's company implemented the process of Delayering.

Process of Delayering:  

To improve operational efficiency, delayering is the act of removing levels of hierarchy between the top and bottom levels of staff.

Delayering often involves the removal of intermediate managers, giving top managers better access to the business as a whole and fostering the necessary openness.

The delayering process has benefits and drawbacks of its own. Although the employer can lower pay costs, the company's ability to make decisions may suffer as a result of top managers' diminished visibility.  

Delayering is helpful for reducing bureaucracy and increasing flexibility in the organizational structure. Additionally, it enhances internal communication and participation. Other advantages include increased drive and empowerment.

Given that

Serena's company decided to reduce the number of levels within the job structure and as a result, she has 20 more people who report to her. her company implemented.

By the given observation about Delayering, we can conclude that the company implemented the process of Delayering.

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pls help right now I need help
giving brainliest

this is reading btw

Answers

Answer:

The answer is A

Step-by-step explanation: I'm so smart

4-2/3x=2/5 rewright with no fractions

Answers

Answer: x= 27/5

Step-by-step explanation:

This equation can rewrite as -2/3x + 4 = 2/5

We separate x by subtracting 4 from both sides

-2/3x = -20/5 +2/5

-2/3x = -18/5

Then we divided both sides by -2/3

Ad we will get x= 27/5

2% of x =1 what is x?

Answers

Answer:

x =50

Explanation:

[tex]\frac{2}{100}[/tex] = [tex]\frac{1}{x}[/tex]

Cross multiply 100 and 1, which makes 100. Then cross divide 100 by two, which makes 50.

Then check if 2% of 50 is 1, which is true.

x = 50

Which is equivalent to (3^4n)^1/2

Answers

The expression which is equivalent to the given expression as in the task content by virtue of the laws of indices is; ( 3 )^2n.

Which expression is equipped to the given expression?

It follows from the task content that the expression which is equivalent to the given expression is to be determined.

Since the given expression is;

( 3^4n ) ^(1/2)

However, it follows from the power of power law of indices that the expression above can be written as follows;

( 3 ) ^ (4n × 1/2)

= ( 3 )^2n

Therefore, the required equivalent expression is; ( 3 )^2n.

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An electronic manufacturer determine that the profit P (in dollar) obtained by producing x unit of a DVD player and y unit of a DVD recorder i approximated by the model P(x, y) = 8x 10y − (0. 001)(x2 xy y2) − 10, 000. Find the production level that a maximum profit. What i the maximum profit?

Answers

The production level that a maximum profit is   186000 and the maximum profit will at the points of (200, -4000) , under the concept of absolute maximum value.

The  P(x, y) = 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000, the first partial differentiate  of the  given equation with respect to x and  y,

Px= ( 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000) = 8-0.001(2x-y) ....2

Py= 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000)  = 10-0.001(x-2y) ... 3

Considering the above  equation to  be equal to  zero  :

=>8-0.001(2x-y) =0 =>0.001(2x-y) =8 .....4

=>10-0.001(x-2y) =0 =>0.001(x-2y) =  10 ...5

Solving the equations 4 and 5 we get the lues of x and  y  we get are :

x= 2000, and y = -4000 , Now the partial differentiate for the equations 2  ad 3  are with respect to x and y :

pxx(x,y)=-0.002

pyy(x,y)=  0.002

pxy(x,y) =-1

The discriminant of the function wil  be  at (2000,-4000):

D = 0.002*-0.002 -(-1)^2 =-1.0004 ,here D <0,  so the  critical values (200, -4000) reaches the maximum value .So the  production level will be :

P(2000, -4000) = 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000 = 186000

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In the triangle, if the measure of angle R S T equals 64 degrees., then what is the measure of angle R P T?

Answers

The measure of angle RPT is 122° if the measure of an angle RST is 64°.

What is meant by an angle?

In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Angle can also refer to a rotation or the measurement of an angle. This measurement is the ratio of the length of a circular arc to its radius.

The total of a triangle's angle measurements is 180°. Because ∠RST = 64°, the other two angles must equal to  180-64 = 116°.

The diagram shows that RST is an isosceles triangle. This suggests that the basis angles, SRT and STR, are equivalent, with each equaling 116/2 = 58°.

RP will cut RST, and PT will cut STR.

PTR = 58/2 = 29° and PRT = 58/2 = 29°.

This suggests that the base angles are 29+29 = 58°, leaving RPT at 180-58 = 122°.

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need help with finding angle​

Answers

Answer:75

Step-by-step explanation:

Since the total angle in the rhombus adds to 360, we minus the 2 110 and get 140. The 65 degrees is reflected on the other side, so we subtract 65 from 140, leaving 75.

Based on statistics from a worldwide health organization, in 2005 there were 29.9 million people worldwide living with a certain disease, and 1.5 million deaths from the disease. By 2015, the number of people living with the disease had fallen to 28.8 million, and 2.6 million deaths were reported. Find the percent change for each statistic, and write any conclusions you can draw. Part: 0/3 Part 1 of 3 The percent change in people living with the disease was [%, rounded to the nearest tenth of a percent 6 Thrice a number is 60 less than 5 times the number. Find the number.

Answers

The percent change for people living with the disease is 36.78% and with the number of deaths is 60%

In 2005 there were 29.9 million people worldwide living with a certain disease

By 2015, the number of people living with the disease had fallen to 28.8 million

Decrease in number of people living with a disease = 29.9 - 28.8 = 1.1

decrease in percentage of people living with a disease = (1.1/29.9)/100 = 36.78%

In 2005, 1.5 million deaths from the disease

In 2015,  2.6 million deaths were reported

change in number of deaths from the disease = 2.6 - 1.5 = 0.9

Change in percentage = (0.9/1.5) 100 = 60%

Therefore,  the percent change for people living with the disease is 36.78% and with the number of deaths is 60%

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Explain how you can model 3 x 2/4​

Answers

The value of [y] will be 1.

What is a expression? What is a mathematical equation? What is degree of a equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Degree of equation is the highest power of x in the given equation

Given is the following expression -

y = 2 x (2/4)

We can write the value of [y] as -

y = 4/4 = 1

y = 1

Therefore, the value of [y] will be 1.

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The table below gives the number of days it takes for packages to be delivered from an online retailer and the probability associated with each number of days. Number of Days Probability 0.01 0.14 0.46 0.25 0.14 4 5 6 A. Find the expected value of the random variable. B. Find the variance of the random variable. C. Find the standard deviation of the random variable.

Answers

The expected value of the random variable is 5.37, the variance of the random variable is 0.8531 and the standard deviation of the random variable is 0.9236.

Given that,

The number of days it takes for packages to arrive from an online shop, together with the probability that it will happen, are provided in the table below.

The table is

Number of days           Probability

A-3                                    0.01

B-4                                    0.14

C-5                                    0.46

D-6                                    0.25

E-7                                     0.14

We have to find the expected value of the random variable, the variance of the random variable and the standard deviation of the random variable.

We know that,

The random variable's predicted value is now shown.

Expected value = summation (x ×P(x))

= 3×0.01+4×0.14+5×0.46+6×0.25+7×0.14

= 5.37

Now the variance of the random variable

Variance =summation ((x - mean)² ×P(x))

= (3-5.37)² × 0.01 + (4-5.37)² × 0.14 + (5-5.37)² × 0.46 + (6-5.37)² × 0.25 + (7-5.37)² × 0.14

= 0.8531

The random variable's standard deviation is now available.

σ  = √(0.8531)

= 0.9236

Therefore, the expected value of the random variable is 5.37, the variance of the random variable is 0.8531 and the standard deviation of the random variable is 0.9236.

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evaluate the sum of 4.2 and 466.99​

Answers

The sum of decimals 4.2 and 466.99​ evaluates to 471.19

How to evaluate the sum of decimals?

Decimals are numbers that consist of two parts namely, a whole number part and a fractional part separated by a decimal point e.g 2.35

Given:  4.2 and 466.99​

To evaluate the sum of 4.2 and 466.99​, you simply need to add the two numbers. Arrange the numbers as shown below and add as you would add other numbers.

    4.2

466.99

.................

  471.19

................

Therefore, the sum 4.2 and 466.99​ is  471.19

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