NFL player Gerald Sensabaugh recorded a 46 inch standing vertical jump at the 2005 NFL Combine, at that time the highest for any NFL player in the history of the Combine. Sensabaugh weighed about 200 lb when he set the record. Part A What was his speed as he left the floor

Answer:

The most realistic value for the standard deviation is 15.

Step-by-step explanation:

The standard deviation of a distribution is a measure of dispersion. It is a measure of the spread of the distribution from the mean of the distribution. It expresses how far most of the distribution is from the mean.

Mathematically, the standard deviation is given as the square root of variance. And variance is an average of the squared deviations from the mean.

Mathematically,

Standard deviation = σ = √[Σ(x - xbar)²/N]

x = each variable (ranges from 34 to 99)

xbar = mean = 78

N = number of variables

Now taking the given possible values of the standard deviation one at a time,

-14

The standard deviation cannot be negative as it is a square root of the average of the sum of square deviations from the mean. Since the square of a number cannot be negative, it directly translates that the standard deviation cannot be negative.

3

A small standard deviation like 3 indicates that the distribution mostly centres about the mean, with very little variation. And the distribution given has a mean (78) that is very far away from at least one of the variables in the distribution. Hence, 3 is too low to pass ad the standard deviation of this distribution described.

0

A standard deviation of 0 indicates that all the variables in the distribution have the same value as the mean. That is, the distribution only contains 1 number, probably multiple times. So, this cannot be the standard deviation for the distribution described.

56

This value represents a value that is too high to express the spread of the distribution described. The mean (78) is very close to the maximum value of the distribution, and far away from the lower value(s), indicating that most of the distribution is in and around the upper values with a few variables closer to the lower limit. A standard deviation as high as 56 for a mean of 78 translates to a distribution with most of variables far from the mean, which isn't the case here.

Moreso, a simple add of the standard deviation to the mean or subtracting the standard deviation from the mean should give at least one of the results with values within the distribution.

(Mean) + (Standard deviation) = 78 + 56 = 134 >> 99 (outside distribution)

(Mean) + (Standard deviation) = 78 - 56 = 22 << 34 (also outside the distribution)

15

This is the most realistic value for the standard deviation as it represents what the distribution described above is.

The mean (78) being close to the maximum value of the distribution, and far away from the lower value(s) indicates that most of the distribution is in and around the upper values with a few variables closer to the lower limit.

So, 15 indicates a perfect blend of small deviations due to the high values close to the mean and the very high deviation from the evidently few lower values.

(Mean) + (Standard deviation) = 78 + 15 = 93 < 99 (within distribution)

(Mean) + (Standard deviation) = 78 - 15 = 63 > 34 (also within the distribution)

Hope this Helps!!!

When The most realistic value for the standard deviation is 15.

Step-by-step explanation:

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Answer:

ITS C

Step-by-step explanation:

The other answer is wrong, I just tried it.

Answer:

It's C on EDG

Step-by-step explanation:

Answer:

[tex]\sqrt{17}[/tex] or ≈4.12

Step-by-step explanation:

Use the distance formula

d= √(x₂ - x₁) ² + (y₂-y₁) ²

d= √(4-0)² + (1-0)²

d= √16 + 1

d= √17

Answer:

y = -2x + 5

slope = -2

y intercept = 5

Step-by-step explanation:

Slope intercept form of equation of line is given by y = mx + c

where m is the slope of line

c is the y intercept i.e point where given line intersect y axis.

________________________________________________

given equation 4x + 2y = 10

we have to re-write this equation in form y = mx + c

4x + 2y = 10

subtraction 4x from LHS and RHS

4x + 2y - 4x= 10 - 4x

2y = 10- 4x

we have to eliminate 2 from y for that we

divide  LHS and RHS by 2 we

2y /2 = 10/2- 4x/2

y = 5 - 2x

rearranging it in y = mx+c form

y = -2x + 5

thus, m = -2 , c = 5

Answer:

X = 2 and Y = -3

Step-by-step explanation:

2x+5y=-11    - equation 1

10x+3y=11    - equation 2

from equation 1, 2X = -11 - 5y

                           X = -11/2 - 5Y/2

                           X = -5.5 - 2.5Y

insert X = -5.5 - 2.5Y into equation 2

     therefore, 10x+3y=11

                       10(-5.5 - 2.5Y) + 3y = 11

                       -55 -25Y +3Y = 11

                        -22Y = 11+55

                      Y = -66/22

                      Y = -3

insert Y = -3 into equation 1

      thus 2x + 5(-3) = -11

              2x - 15 = -11

              2x = -11 + 15

              2x = 4

              x = 4/2

              x = 2

ordered pair: X = 2 and Y = -3

Answer: the percentile is 74%

Step-by-step explanation:

The given data distribution is arranged in increasing order as:

0.1 0.2 0.2 0.3 0.4 0.4 0.4 0.5 0.5 0.6 0.6 0.8 0.9 0.9 0.9 1.1 1.3 1.7 1.8 1.9 2.3 2.4 2.5 2.6 2.7 3.1 3.5 3.5 3.7 3.8 4.8 5.2 7.4 7.9 8.2 8.6 9.3 11.2 11.3 11.4 12.1 12.6 13.1 13.3 13.6 13.8 14.6 15.6 15.7 25.6

The total number of values given in the data is 50

Percentile = number of values in the distribution lesser than the given value × 100/ total number of values in the distribution

Considering the data speed of 11.2 Mbps, the number of data speed lower than 11.2 is 37

Percentile = (37 × 100)/50 = 74%

[tex]\text{Solve:}\\\\3x^2+7=28\\\\\text{Subtract 7 from both sides}\\\\3x^2=21\\\\\text{Divide both sides by 3}\\\\x^2=7\\\\\text{Square root both sides}\\\\\sqrt{x^2}=\sqrt7\\\\x=\pm\sqrt7\\\\\boxed{x=\sqrt7\,\,or\,\,x=-\sqrt7}[/tex]

Answer:

24 bolivianos

Step-by-step explanation:

$1=8b

$3=?

Cross multiply: ($3*8)/1 =24

Answer:

$9

Step-by-step explanation:

Let the price of one order of wings be w.

Let the price for one order of soft drinks be s.

Three friends went to a restaurant and ordered two orders of wings and three soft drinks. Their bill totaled $22.50. This means that:

2w + 3s = 22.50 _____________(1)

Five friends went to the same restaurant and ordered three orders of wings and a soft drink each. Their bill totaled $34.50. This means that:

3w + 5s = 34.50 ______________(2)

We have a system of quadratic equations:

2w + 3s = 22.50 _____________(1)

3w + 5s = 34.50 ______________(2)

Multiply (1) by 5 and (2) by 3:

10w + 15s = 112.50 _______(3)

9w + 15s = 103.50 _______(4)

Subtract (4) from (3):

w = $9

Therefore, the price of one order of wings is $9.

Answer:

[tex]-x^5+9x^4-18x^3=0\\-x^3(x^2-9x+18)=0\\-x^3(x-3)(x-6)=0\\\\\\\\x=0\\x=3\\x=6[/tex]

Answer:

1st : 8

2nd: 8

3rd: equal to

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

The remainder of the polynomial when divided by x + 2 is -60.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

2[tex]x^{4}[/tex] - 4x³ - 11x² + 3x - 6 divide by x + 2.

Now,

x + 3 ) 2[tex]x^{4}[/tex] - 4x³ - 11x² + 3x - 6 ( 2x³ - 2x² - 5x + 18

          2[tex]x^{4}[/tex] + 6x³

      (-)       (-)                            

                  -2x³ - 11x² + 3x - 6

                  -2x³ - 6x²

              (+)        (+)                  

                           - 5x² + 3x - 6

                          -5x²  - 15x      

                        (+)        (+)

                                      18x - 6                      

                                      18x + 54

                                    (-)      (-)    

                                               -60

We see that,

The remainder is -60.

f(-2) = 2[tex]x^{4}[/tex] - 4x³ - 11x² + 3x - 6

f(-2) = 2 x 16 + 32 - 44 - 6 - 6 = 32 + 32 - 44 - 12 = 64 - 56 = 8

Thus,

The remainder of the polynomial when divided by x + 2 is -60.

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Answer:

I think it would be the first but not 100% sure

Step-by-step explanation:

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using  =  + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

=  + 2(-9.81 x 2.1)

= 196 - 41.202

= 154.8

v =  = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

=  + 2as

a = -9.81 m/s^2

0 =  + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + a

7.49 = (0 x t) +  (9.81 x  )

7.49 = 0 + 4.9

 = 7.49/4.9 = 1.53

t =  = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec

Answer:

B

Step-by-step explanation:

Answer:

P(120< x < 210) =  0.8664

Step-by-step explanation:

given data

time length = 20 year

average mean time μ = 165 min

standard deviation σ = 30 min

randomly selected game between = 120 and 210 minute

solution

so here probability between 120 and 210 will be

P(120< x < 210) = [tex]P(\frac{120-165}{30}< \frac{x-\mu }{\sigma } <\frac{210-165}{30})[/tex]

P(120< x < 210) = [tex]P(\frac{-45}{30}< \frac{x-\mu }{\sigma } <\frac{45}{30})[/tex]

P(120< x < 210) = P(-1.5< Z < 1.5)

P(120< x < 210) = P(Z< 1.5) - P(Z< -1.5)

now we will use here this function in excel function

=NORMSDIST(z)

=NORMSDIST(-1.5)

P(120< x < 210) = 0.9332 - 0.0668

P(120< x < 210) =  0.8664

Answer:

Option 4: at the vertices of the feasible region.

I completed the quiz

Answer:

at the vertices of the feasible region

Step-by-step explanation:

this is the correct answer

hope i helped

Answer:

B) 5

Step-by-step explanation:

The points are (2,2) and (6,5). Subtract both Y's and X's and then square the answers and add. you should get 25, which has a square root of 5.

Answer:

2

Step-by-step explanation:

as you can see the slope of the line y = -1/2x + 5 is -1/2

the slope m of any line perpendicular to it should verify : -1/2×m = -1

-1/2×m = -1

→ multiply both sides by -2

m = 2

Answer:

y=2x-2

Step-by-step explanation:

When writing the equation of a line in slope intercept form, you need to know two things; the slope, and the y intercept. The slope of the line can be found by seeing how steep the line is. For instance, here the line rises 2 units for every 1 unit it moves to the right, meaning that it has a slope of 2/1=2. The y intercept can be found by just seeing where the graph crosses the y axis, or where x is 0. Here it can be seen to be at -2. Therefore, the equation of this line is y=2x-2. Hope this helps!

Answer:

answer is : y = 2x + 2

Step-by-step explanation:

slope-intercept form is y= mx + b

the y-intercept is: (0, -2) and the x-intercept is (1,0)

the first thing you do is find the slope:

m = (y2-y1) / (x2-x1)

so : ( 0 -  -2) / ( 1 - 0)  or 2/1 therefore the slope is 2

y = 2x + ? is the next step

then you can substitute the x and y into the formula to find the (b) value

0 = 2 (1)

0 = 2 ?

since 0 equals two plus two the b value is 2.

so the answer is y = 2x + 2

Answer:

Categorical data includes

b. How did you pay for the vehicle? (Cash, Lease, or Finance)

c. How likely would you be to recommend this vehicle to a friend? (Definitely Not, Probably Not, Probably Will, and Definitely Will)

e. What is your overall rating of your new vehicle? A 1 to 10 point scale, ranging from I for unacceptable to 10 for truly exceptional, was used.

Quantitative data includes

a. What price did you pay for the vehicle?

d. What is the current mileage?

Step-by-step explanation:

Categorical data refers to the kind of data in which the variables are grouped based on a particular quality, ticking a particular box or satisfying some specific requirements.

It uses one or more qualitative property/properties to assign variables into a limited, usually fixed groups or categories. Note that the qualitative property might be a grouped data of numerical values. As long as there are easily separable and recognizable groups, it is categorical data.

This is also called qualitative data.

Quantitative data is a data that is strictly about numerical values. A dataset that consists of numerical values of the members of the dataset. Deals almost exclusively with numbers, usually ungrouped.

So, examining the given datasets one at a time

a. What price did you pay for the vehicle?

The answer to this question is a numerical value and for various customers, it builds up a dataset of strictly numerical values. Hence, this resulting data is a quantitative data.

b. How did you pay for the vehicle? (Cash, Lease, or Finance)

The answers to this question can only take 3 forms; Cash, Lease or Finance, indicating that all the variables in the dataset can only take on limited, fixed number of groups/categories. Hence, this dataset is a categorical data.

c. How likely would you be to recommend this vehicle to a friend? (Definitely Not, Probably Not, Probably Will, and Definitely Will)

The answers to this question too can take on 4 limited, fixed categories or groups, Hence, it's easy to see that this dataset is also categorical data.

d. What is the current mileage?

The answer to this question is a numerical value. Various answers from numerous persons would lead to a data of numbers. Hence, this is a quantitative data.

e. What is your overall rating of your new vehicle? A 1 to 10 point scale, ranging from I for unacceptable to 10 for truly exceptional, was used.

Limited, fixed categories or groups (10 groups) are also available for this data, hence, it is easily a categorical data.

Hope this Helps!!!

Answer:

a) The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79

b) $0.57

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{1.86}{\sqrt{41}} = 0.57[/tex]

So the answer for b) is $0.57.

The lower end of the interval is the sample mean subtracted by M. So it is 12.22 - 0.57 = $11.65

The upper end of the interval is the sample mean added to M. So it is 12.22 + 0.57 = $12.79

The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79

Answer:

c.(x+1)^2=10

Step-by-step explanation:

Completing the square:

We use the following relation:

[tex](x + a)^{2} = x^{2} + 2ax + a^{2}[/tex]

In this question:

[tex](x + a)^{2} = x^{2} + 2ax + a^{2} = x^{2} + 2x + a^{2}[/tex]

We have to find a.

[tex]2a = 2[/tex]

[tex]a = \frac{2}{2}[/tex]

[tex]a = 1[/tex]

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

Thus, we have to add 1 on the right side of the equality.

We end up with:

[tex](x+1)^{2} = 9 + 1[/tex]

[tex](x+1)^{2} = 10[/tex]

So the correct answer is:

c.(x+1)^2=10

Answer:55

Step-by-step explanation:

55x1=55

Answer:

7.33333333333 I think. Hope this helped.

Answer:

B. F(x) = 0.4x² - 1

Step-by-step explanation:

→The function F(x) has shifted downwards, meaning there has to be a 1 being subtracted.

→The function F(x) has grown wider, meaning there has to be a number of absolute value less than 1.

This means answer choice, "B," is correct.

Answer:

The answer is B

Step-by-step explanation:

→The function F(x) has shifted downwards, meaning there has to be a 1 being subtracted.

→The function F(x) has grown wider, meaning there has to be a number of absolute value less than 1.

This means answer choice, "B," is correct.

Answer:

D. Time ( length)

Step-by-step explanation:

The function is measuring the length of the race, and the time it took to complete. So, it would be D.

// have a great day //

Answer:

D. Time(length)

Step-by-step explanation:

→The time is on the outside because, according to the information that has been given/provided, the length of the race depends on the time taken to complete the race.

This means the correct answer is "D. Time(length)."

Answer:

24

Step-by-step explanation:

Formula

The area of a Trapezoid is given as

A = (b1 + b2)*h/2

Givens

b1 = 8

b2 = 4

h = 4

Solution

Area = (8 + 4)*4/2

Area = 12*4/2

Area = 24

Answer:

Step-by-step explanation:

Look at the population statistics. Let's say it contains:

- data on the age groups available in the population

- data on the probability that a child in the population has inadequate calcium intake OR data that a child in the population does not have the deficiency. If you're given one of these, the other can be gotten by subtracting the probability value given from 1.

So let's say there are children from ages 5 to 15 in this population and the probability that a child in this population has the deficiency is 0.23 (not all the children in this population of 5-15 year olds may have the deficiency) while the probability that a child in this population does not have the deficiency is [1-0.23] = 0.77

So if you pick a child randomly from the population and he has this deficiency, what is the probability that he or she is between 11 and 13 years old?

From ages 5-15, ages 11, 12 and 13 are 3 ages. The total number of ages is 11 ages.

3÷11 = 0.2727

This is the probability that a child picked or selected at random from the population is 11, 12, or 13 years old.

0.2727 × 0.23 = 0.0627

This is the probability that a child picked at random is BOTH within the age bracket 11 to 13 AND has the deficiency!

Apply this.

Complete Question

A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. However, the size of the paper is unknown!

Answer:

(a)[tex]f(0.2)=0.2(l-0.4)(w-0.4)[/tex]

(b)[tex]f(1.3)=1.3(l-2.6)(w-2.6)[/tex]

(c)f(1.3)-f(0.2)

(d) f(5.6)-f(5.5)

Step-by-step explanation:

Let the Length of the paper =l  (in inches)

Let the Width of the paper =w  (in inches)

Let the length of the cutout square = x (in inches)

Volume of the box: [tex]f(x)=x(l-2x)(w-2x)[/tex]

(a)When the cutout length is 0.2 inches.

x=0.2

Volume of the box (in cubic inches) ,

[tex]f(0.2)=0.2(l-0.4)(w-0.4)[/tex]

(b)When the cutout length is 01.3 inches.

x=1.3

Volume of the box (in cubic inches) ,

[tex]f(1.3)=1.3(l-2.6)(w-2.6)[/tex]

(c)If the cutout length increases from 0.2 inches to 1.3 inches.

Change In volume (in cubic inches):

[tex]f(1.3)-f(0.2)\\=1.3(l-2.6)(w-2.6)-0.2(l-0.4)(w-0.4)[/tex]

(d)If the cutout length increases from 5.5 inches to 5.6 inches.

Change In volume (in cubic inches):

[tex]f(5.6)-f(5.5)\\=5.6(l-11.2)(w-11.2)-5.5(l-11)(w-11)[/tex]