The weights of 1500 bodybuilders are normally distributed with a mean of 190.6 pounds and a standard deviation of 5.8 pounds.

A. About how many bodybuilders are between 180 and 190 pounds?

B. What is the probability that a bodybuilder selected at random has a weight greater than 195 pounds?

First, evaluate the given function at x=3 to find the amount of bacteria left after 3 seconds:

There are 750 bacteria left after 3 seconds. Since the initial amount of bacteria was 6000, subtract 750 from 6000 to find the amount of bacteria that has been removed:

Therefore, the amount of bacteria that has been removed after 3 seconds is 5250.

The correct choice is Option D) 5250.

Answer:

$95.27

Step-by-step explanation:

27.22 / 2 = 13.61

13.61 * 7 = 95.27

By observing diagram clearly we can observe that there is a right angled triangle with :

So, to find hypotenuse, let's use Pythagoras' theorem :

\( \large \underline{\boxed{\bf{H^2 = B^2 + P^2}}}\)

\( \tt : \implies c^2 = 3^2 + 3^2\)

\( \tt : \implies c^2 = 9 + 9\)

\( \tt : \implies c^2 = 18\)

\( \tt : \implies c = \sqrt{18}\)

Hence, value of c is √18.

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Answer:

volume v = base area * height

= 1/2*9*4 * 8

Answer:

Step-by-step explanation:

hhhh

95% confident that the true population mean backpack weight falls between 49.06 and 54.94 ounces.

To construct a 95% confidence interval for the true population mean backpack weight, we can use the following formula:

Confidence interval = mean weight ± (critical value x standard error)

Where the critical value is determined based on the level of confidence and the degrees of freedom (n-1), and the standard error is calculated as the population standard deviation divided by the square root of the sample size.

In this case, since we have a sample size of 27, the degrees of freedom would be 26. Using a t-distribution table, we can find the critical value for a 95% confidence level with 26 degrees of freedom to be 2.056.

The standard error can be calculated as:

standard error = 7.7 / sqrt(27) = 1.48

Therefore, the 95% confidence interval can be calculated as:

Confidence interval = 52 ± (2.056 x 1.48) = (49.06, 54.94)

This means that we can be 95% confident that the true population mean backpack weight falls between 49.06 and 54.94 ounces, based on the sample of 27 backpacks with a mean weight of 52 ounces and a population standard deviation of 7.7 ounces.

Visit here to learn more about confidence interval brainly.com/question/13067956

#SPJ11

Answer:

2

Step-by-step explanation:

subtract 3 from the 3 and 3 from 11 which would give you 8 then you would divide the 4 from 4a which would leave you with just a and then divided 4 by 8which would give you 2 so its a=2

Answer:

0,2018 is the answer of the given questions he had given

Answer:

30/5 than simplyply it to 6 0/5

Answer:

-0.28 i think

Step-by-step explanation:

Answer:

I think B ... not sure though

Step-by-step explanation:

tell me if I'm wrong.. TwT

We are given –

According to the question, we are asked to find out volume of the cone. As we know –

Substituting values –

\(\qquad\) \(\purple{\twoheadrightarrow\bf Volume_{(Cone)} = \dfrac{1}{3} π r^2h}\)

\(\qquad\) \(\twoheadrightarrow\sf Volume_{(Cone)} = \dfrac{1}{3} π\times (9.6)² \times 19.9\)

\(\qquad\) \(\twoheadrightarrow\sf Volume_{(Cone)} = \dfrac{1}{3} π \times 92.16 \times 19. 9\)

\(\qquad\) \(\twoheadrightarrow\sf Volume_{(Cone)} = 96.4608 \times 19.9\)

\(\qquad\) \(\purple{\twoheadrightarrow\bf Volume_{(Cone)} = 1919.57\:cm³}\\\)

\(\therefore{\underline{\textsf{ Volume of cone is \textbf{1919.57cm³}}}} \)

Know More –

_________________________________________

Step-by-step explanation:

Volume of cone = 1/3πr²h

here,

Putting the known values ,

Volume = \( \frac{1}{3} \times 3.14 \times 9.6 {}^{2} \times 19.9cm {}^{3} \)

Volume = 1919.56 cm³

Answer:

x=7

Step-by-step explanation:

Answer: x=7

Step-by-step explanation:

3(x-10)=-9

3x-30=-9

3x-30+30=-9+30

3x=21

x=7

On approximately 4.06% of the next 365 working days, the company should expect the value of its shares to fall by more than 1%. This is approximately 14.8 working days.

Since the daily percentage change in the value of the company's shares is expected to be normally distributed with a mean of 0 and standard deviation of 0.51, we can use the standard normal distribution to find the proportion of the time that the value of the shares will fall by more than 1%.

The standard normal distribution has a mean of 0 and a standard deviation of 1, so we can standardize the percentage change by subtracting the mean and dividing by the standard deviation. A daily percentage change of -1% corresponds to a standardized value of -1.96 in the standard normal distribution.

Using a standard normal table or calculator, we find that the proportion of the time that the standardized value will be less than -1.96 is 0.0406, or 4.06%. Therefore, on approximately 4.06% of the next 365 working days, the company should expect the value of its shares to fall by more than 1%. This is approximately 14.8 working days.

For such more questions on standard deviation: brainly.com/question/475676

#SPJ4

Answer:

answer what?

Step-by-step explanation:

Answer:

To find the intervals on which the function g(x) = x^2 - 2x - 8 is increasing or decreasing, we need to take the derivative of g(x) with respect to x and find where it is positive (increasing) or negative (decreasing).

g(x) = x^2 - 2x - 8

g'(x) = 2x - 2

Now we need to find where g'(x) > 0 (increasing) and where g'(x) < 0 (decreasing).

g'(x) > 0

2x - 2 > 0

2x > 2

x > 1

g'(x) < 0

2x - 2 < 0

2x < 2

x < 1

Therefore, g(x) is increasing on the interval (1, infinity) and decreasing on the interval (-infinity, 1).

Answer: 4/5 centimeters

Step-by-step explanation:

From the question, we are informed that Micah's rain gauge showed 9 1/2 centimeters of rain fell last month and that this month, the rain guage measured 10 3/10 centimeters .

The centimeters of rainfall that fell this month will be:

= 10 3/10 - 9 1/2

= 10 3/10 - 9 5/10

= 8/10

= 4/5 centimeters

To solve this problem using the graphing method, we can set up a system of linear equations and graph them to find the intersection point, which will give us the cost of one pair of jeans and one blouse. Let's let x be the cost of one pair of jeans and y be the cost of one blouse. Then we have:

3x + 6y = 120

2x + 5y = 90

To graph these equations, we can rearrange them into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Then we can graph each line using the slope and y-intercept.

3x + 6y = 120 can be rearranged as 6y = -3x + 120, which simplifies to y = (-1/2)x + 20.

2x + 5y = 90 can be rearranged as 5y = -2x + 90, which simplifies to y = (-2/5)x + 18.

Now we can graph these two lines on the same coordinate system:

    |

30 --|           /

    |         /

20 --|     /  

    |   /      

10 --| /      

    +---------+

       10  20  30

The intersection point of these two lines is the solution to the system of equations. We can see that the intersection point is approximately (14, 13), which means that one pair of jeans costs $14 and one blouse costs $13.

Therefore, using the graphing method, we can conclude that one pair of jeans costs $14 and one blouse costs $13.

Step-by-step explanation:

using the graphing method, we can start by defining two variables: x = the cost of one pair of jeans, and y = the cost of one blouse. We can then set up two equations based on the information given:

3x + 6y = 120 (equation 1)

2x + 5y = 90 (equation 2)

To graph these equations, we can rewrite them in slope-intercept form:

y = (-1/2)x + 20 (equation 1')

y = (-2/5)x + 18 (equation 2')

You can see the graph i plotted.

The point where the two lines intersect represents the solution to the system of equations, which corresponds to the cost of one pair of jeans and the cost of one blouse. We can estimate this point by looking at the graph, or we can use a calculator to find the exact values. In this case, we get:

x = 10

y = 10

So, the cost of one pair of jeans is $10, and the cost of one blouse is $10 as well.

Answer:

2nd and 4th one

Step-by-step explanation:

Answer:

2.5 hours

Step-by-step explanation:

To solve this question we can use the exponencial function:

P = Po * (1 + r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the time.

In this case, we have Po = 8, P = 7 and r = -5% = -0.05. So, we can solve for t:

7 = 8 * (0.95)^t

0.95^t = 0.875

log(0.95^t) = log(0.875)

t * log(0.95) = -0.1335

t * (-0.0513) = -0.1335

t = -0.1335 / (-0.0513) = 2.6023 hours

Rounding to the nearest half-hour, we have t = 2.5 hours

Answer:

2.5

Step-by-step explanation:

I had this question and got it right

The intervals must be length ∈ (20,40) and width ∈(0,20)

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here, let the length be x an width be y then we have

2(x+y)=80

x+y     = 40

x=y-40

again we have 400<xy<600

                        400<40y-y²<600

  Thus y²-40y+400<0

                 y<20 and therefore x>20

Hence, The intervals must be length ∈ (20,40) and width ∈(0,20)

Learn more about the area of a rectangle here:

https://brainly.com/question/20693059

#SPJ2

The Translation is : (x,y) = (x- 1, y- 1).

WHAT IS TRANSLATION?

Translation is the process of conveying the meaning of a text written in the source language through a text written in the target language. The English language makes a terminological distinction between translating (the act of translating a written text) as well as interpreting (the act of communicating orally or symbolically between speakers of different languages); according to this distinction, transcription can only start once writing has been invented within a language community. There is always a chance that a translator will unintentionally render source-language words, grammar, as well as syntax into to the target-language rendering.

Here the triangle B is in translation to triangle C.

the ratio of x-coordinates is 2/-2 = -1, SO the scale factor of the dilation that maps (2,4) onto (-2,-4) is -1.

so, translation: (x,y) = (x- 1, y- 1).

To know more about translation click on the below given link.

https://brainly.com/question/1046778
#SPJ1

The amount of rotation that is required to bring one side of an angle to the same position as the other is what is referred to as the measure of an angle. Degrees (°) are used as the unit of measurement for angles. One complete turn encompasses all 360 possible degrees.

There are several ways to find the measure of an angle in 8th grade geometry:

Learn more about measures of the angles here: brainly.com/question/25215131

#SPJ4

The conditional distribution of competency given that the type of training is CPR is a discrete probability distribution with values 1, 2, and 3, and corresponding probabilities 0.333, 0.500, and 0.167, respectively.

To construct the conditional distribution of the variable "competency" given that the type of training is "CPR", we need to have information about the joint distribution of both variables (competency and type of training).

Formally, the conditional distribution of competency given that the type of training is CPR is:

P(X = x | Y = CPR) = n_{x,CPR} / \sum_{i=1}^k n_{i,CPR}

where n_{x,CPR} is the number of observations with competency level x and CPR training type, and the denominator is the total number of observations with CPR training type.

Note that this expression gives us the probability of observing competency level x given that the training type is CPR. We can use this expression to compute the conditional distribution for all possible values of x (competency levels).

For example, if we have the following contingency table:

CPR       First  Aid    Other

Level 1 10 5 5

Level 2 15 3 2

Level 3 5 2 3

Then, the conditional distribution of competency given that the type of training is CPR is:

P(X = 1 | Y = CPR) = 10 / (10 + 15 + 5) = 0.333

P(X = 2 | Y = CPR) = 15 / (10 + 15 + 5) = 0.500

P(X = 3 | Y = CPR) = 5 / (10 + 15 + 5) = 0.167.

For more similar questions on conditional distribution :

https://brainly.com/question/14997083

#SPJ11

Answer:

The answer is 2080x - 9

Hope this helps

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

Learn more about probability

brainly.com/question/32575884

#SPJ11

The measure of the angle 2 is 122°.

Given that angles 1 and 2 form a linear pair,

angle 1 + angle 2 = 180 degrees         —— (1)

We've also been notified that angle 2 is 6 times the size of angle 1.

That is to say: angle 2 = (2×angle 1) + 6      ———- (2)

Putting the angle 2 value in (1) from (2)

180 = angle 1 + 2×angle 1 + 6

3×angle 1 = 174

1st angle = 58 degrees  ———-(3)

(1) and (3) come from:

angle 2 + 58 = 180

2nd angle = 122 degrees

As a result, angle 2 has a measure of 122 degrees.

To know more about the linear pair, here

https://brainly.com/question/4227663

#SPJ9

The research proposal focuses on investigating the determinants of the sustainability of small and medium-sized enterprises (SMEs) in Soweto. The research objectives are to determine the sustainability of SMEs, identify the factors that contribute to their sustainability, and provide practical recommendations to enhance their sustainability.

1.1 The research proposal addresses the "what" by examining the determinants of SME sustainability in Soweto. It focuses on "who" by targeting owner-managers of SMEs in Soweto. The "why" is to understand the factors that influence SME sustainability. The "where" is in Soweto, South Africa, and the "when" refers to the time period during which the research will be conducted.

1.2 The aim of the proposed study is to explore and analyze the determinants of sustainability for small and medium-sized enterprises in Soweto, with the ultimate goal of providing practical recommendations to enhance their sustainability.

1.3 Three research questions for the proposed study could be:

What are the key indicators of sustainability for SMEs in Soweto?

What factors contribute to the sustainability of SMEs in Soweto?

How can owner-managers of SMEs in Soweto improve the sustainability of their businesses?

1.4 An appropriate research design for the proposed study could be a mixed-methods approach. This design would involve both quantitative and qualitative data collection and analysis methods. Quantitative data could be collected through surveys or questionnaires to measure indicators of sustainability and assess the relationship between various factors. Qualitative data could be collected through interviews or focus groups to gain a deeper understanding of the experiences and perspectives of owner-managers. The mixed-methods approach would provide a comprehensive and holistic understanding of the determinants of SME sustainability in Soweto and enable practical recommendations to be formulated based on both quantitative and qualitative insights.

Learn more about medium-sized enterprises here: brainly.com/question/31314997

#SPJ11