The length of a colorado brook trout is normally distribute. what is the probability that a brook trout's length exceeds the mean? (round your answer to 2 decimal places.) the likelihood of a value greater than the mean is .50 because the whole area under the curve is 1 and the mean is the midway point.

Answers

Answer 1

The probability that a brook trout's length exceeds the mean is 0.50.

How to find the probability in normal distribution?

One of the benefits of normal distributions is that we can find probabilities without being given the parameters of the distribution. This is achieved provided that we know the number of standard deviations from the mean the value of the random variable that delimits the indicated interval is.

We are given;

Distribution of length of a Colorado brook trout; Normal Distribution

Now, we want to find the likelihood of a value greater than the mean is 0.50.

We also know that if it is seen that the shape of the data is almost like a bell shape, then the data will be considered to have a normal distribution.

Thus, by the property of a normal distribution, the probability is 0.50.

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Related Questions

1) If g(x) is a linear function, g(-2) = 6 and g(2) = 18, what is the rate of change? Is this function increasing or decreasing? Show your work!

Answers

Answers:

Rate of change = 3

The function is increasing

===================================================

Explanation:

The notation g(-2) = 6 means the input x = -2 leads to the output y = 6. Therefore, the point (-2,6) is on f(x). The other point given is (2,18).

For linear functions, the terms "rate of change" and "slope" are the same thing.

Let's use the slope formula on the two points (-2,6) and (2,18)

[tex](x_1,y_1) = (-2,6) \text{ and } (x_2,y_2) = (2,18)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{18 - 6}{2 - (-2)}\\\\m = \frac{18 - 6}{2 + 2}\\\\m = \frac{12}{4}\\\\m = 3\\\\[/tex]

The slope is 3, which can be written as 3/1

A slope of 3/1 means we go up 3 and to the right 1.

slope = rise/run = 3/1

rise = 3 = go up 3

run = 1 = go to the right 1

Since the slope is positive, this means the line is going uphill as we move to the right. In other words, the function is increasing.

A chocolate power bar has 4 grams of fat, 23 grams of protein, and 45 grams of carbohydrates. How many Calories does this Power bar provide?

Answers

Answer:

308 Calories are provided by the Powerbar.

Step-by-step explanation:

Use the typical amounts shown for each nutrient first to calculate how many calories each one provides:

Fat: 4 grams x 9 kcal/gram = 36 kcals.

Protein: 23 grams x 4 kcal/gram = 92 kcals.

45 grams x 4 kcal/gram of carbohydrates equals 180 kcal.

To determine the total calories, add up all the Calories from each nutrient as follows:

92 calories from protein and 36 calories from fat equal 308 calories.

The Powerbar contains 308 calories.

Answer:

Total Calories = (4*9) + (23*4) + (45*4)

                           36+92+180 = 308 Calories

To calculate total calories we first need to convert total fat, protein, and carbohydrates into calories

1 gram of protein = 4 calories

1 gram of fat = 9 calories

1 gram of carbohydrates = 4 calories

x/50=20=40
i need help cux i dont get it

Answers

The given linear equation has solutions 1000 and 2000. This are values for which the equation is true.

Solving linear equations

Linear equations are equations that has a leading degree of 1. Given the equation below, we are to determine the value of x from the expression.

Given the linear equation

x/50=20=40

This can be splitted into x/50=20 and x/50 = 40

Solve both equations

x/50=20

Cross multiply

x = 50 * 20

x = 1000

Similarly;

x/50 = 40

Cross multiply

x = 50 * 40

x = 2000

Therefore the solutions to the given system of linear equation are 1000 and 2000

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½a + ¾b + ½a - ½b =
This all im looking for the answer

Answers

Answer:

(4a+b)/4

Step-by-step explanation:

Help me graph the relationship please! I've been stuck on this problem for a week now... :<

Answers

Rate of change (m) = 10

Starting amount (b) = 14

It takes 9 days to have 104 boondins.

The equation in slope-intercept form is: y = 10x + 14

Its graph is shown below.

How to Write the Equation of a Line?

Where m represents the rate of change and b represents the y-intercept or starting value, the equation of a line can be written in slope-intercept form as:

y = mx + b.

From the information given, the following are given about the line:

x = number of days

y = total number of boondins

If he had 74 boondins in 6 days and he bought 10 more every day, then:

x = 6

y = 74

Starting value (b) = ?

Rate of change (m) = 10

Substitute the values into y = mx + b to find the value of b:

74 = 10(6) + b

74 = 60 + b

74 - 60 = 60 + b - 60

14 = b

b  = 14

Therefore:

Rate of change (m) = 10

Starting amount (b) = 14

To write the equation in slope-intercept form, substitute b = 14 and m = 10 into y = mx + b:

y = 10x + 14

To find how many days it takes to have 104 boondins, substitute y = 104 into the equation, y = 10x + 14:

104 = 10x + 14

Solve for x

104 - 14 = 10x

90 = 10x

90/10 = 10x/10

9 = x

x = 9

It takes 9 days.

For 10 days, it would take:

y = 10(10) + 14

y = 114 boondins

The table is:

(x, y)

(0, 14)

(10, 114)

The graph for y = 10x + 14 is given in the attachment.

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HELP

What are the similarities and differences do you see between 3 and 4

For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous

WILL GIVE BRAIN

Answers

measures: _ , and .

Help I can’t do this

Answers

Answer:

It looks like you want the point slope form of a line

y-4 = -2 (x +3)

Step-by-step explanation:

y -[tex]y_{1}[/tex] = m(x- [tex]x_{1}[/tex])  You plug in 4 for [tex]y_{1}[/tex], -2 for m and -3 for[tex]x_{1}[/tex]

y - 4 =(2(x - -3)  x - -3 is the same at x + 3

y-4 + -2(x + 3)


Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $70 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $285, how many hours did the plumber work?

Write and solve an equation to determine the number of hours worked by the plumber.

50x − 70 = 285; x = 7.1 hours
50x + 70 = 285; x = 4.3 hours
70x − 50 = 285; x = 4.8 hours
70x + 50 = 285; x = 3.4 hours

Answers

Answer: B

Step-by-step explanation:

A  $70 is fixed, we have to add $50 each hour. So, it will be 70 + 50x. If he charged $285 overall, this means that 70 + 50x = 285

50x = 285 - 70

50x = 215

x = 215/50 = 4.3

Evaluate f(-7) for the function
f(x) = x² + 3x - 12

Answers

Answer:

f(- 7) = 16

Step-by-step explanation:

substitute x = - 7 into f(x) , that is

f(- 7) = (- 7)² + 3(- 7) - 12 = 49 - 21 - 12 = 28 - 12 = 16

please help asap Evaluate the numerical expression open parentheses 2 to the power of 3 close parentheses to the power of one half.

4
cube root of 4
square root of 8
square root of 128

Answers

Answer:

C) square root of 8

=====================

Given expression

Open parentheses 2 to the power of 3 close parentheses to the power of one half.

Convert it to math language and simplify

[tex](2^3)^{\frac{1}{2} =[/tex]                           Expression as described[tex](8)^{\frac{1}{2} =[/tex]                             Cube of 2 is 8[tex]\sqrt{8}[/tex]                                 Different form of square root

Correct choice is C

what is 50 pound in yen if 1 euro is 120 yen and 1 pound is 1.2 euro

Answers

50 pound in yen is 7200 yen

What is basic algebra ?

Algebra is a branch of mathematics that helps translate real-world situations or problems into mathematical truths. Mathematical operations like addition, subtraction, multiplication, and division are needed in addition to variables like x, y, and z to construct a meaningful mathematical expression. All branches of mathematics, such as calculus, trigonometry, and coordinate geometry, employ algebra. A fundamental algebraic equation is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are done on variables and constants. Let's imagine that while playing with matchsticks, James and Natalie came up with the idea to arrange the sticks into designs that represented numbers.

Given that : 1 euro is 120 yen and 1 pound is 1.2 euro

1 euro = 120 yen

1 pound = 1.2 euro

1 pound = 1.2 × 120 yen

1 pound = 144 yen

50 pound = 144 ×50

= 7200 yen

50 pound in yen is 7200 yen

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What is 8(1/2+x=-1/3-(-8x-7/3)

Answers

Answer:

the answer is no solution

Step-by-step explanation:

You have $48 to buy tickets at the carnival. The tickets cost $8 for 15 tickets. How many tickets can you buy? 9 The water ride costs 12 tickets, and the ferris wheel costs 15 tickets. You want to ride the water ride 3 times and ride the ferris wheel 3 times. How many tickets do you have remaining? 9 A. 12 B. 9 C. 7​

Answers

Answer:

the answer would be 9 tickets left

Step-by-step explanation:

8x6=48

15x6=90

12x3 + 15x3=81

90-81=9

9 tickets left

Please lmk asap!!! (thank you :))))

Answers

The following statements are true about the scaled copy

(b) The angles are whole numbers(c) Has exactly 1 right angle(d) If the scale factor is 1/5, the side lengths are multiplied by 1/5

What is dilation?

Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.

How to determine the true statements in the figure?

From the figure, we understand that there is another figure

This figure is the scaled factor of the given figure

As a general rule, the following are the properties of a scaled copy of another figure

If the scale factor is greater than 1, the side lengths would be greater than the original figureIf the scale factor is less than 1, the side lengths would be less than the original figureThe angles of both figures are the sameThe side lengths may or may not be whole numbers

Using the above as a guide, the true statements about the scaled copy are (b), (c), and (d)

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What is the sequence of transformations that maps ABC to A’B’C’
Step 1:
A. Reflect across the line Y=X
B. Reflect across the x-axis
C. Rotate 90° clockwise about the origin.
D. Rotate 180° about the origin

Step 2:
A. Translate 6 units up
B. Translate 5 units up
C. Reflect across the line y=x
D. Reflect across the x-axis


Answers

Answer:

Yes, reflecting a shape across the x-axis and then rotating it 90° clockwise about the origin gives the same results as reflecting it

Step-by-step explanation:

Answer: step 1 = C step 2 = A

Step-by-step explanation: 190 abc 123

you are in a car race. during a 10 second pit stop, the other cars gain 1/4 mile on you. how much would the other cars gain on you during a 1 min pit stop.

Answers

When the pit stop duration is one minute other cars will gain 3/2 miles

Time duration of a pit stop during the car race = 10 seconds

The distance gained by other cars = 1/4 mile

Pit stop: During a race, a racing car makes a pit stop to get fuel, fresh tires, repairs, mechanical adjustments, a new driver, or any combination of the aforementioned. The pits typically consist of a row of garages where the work is done outside and a pit lane that runs parallel to the start/finish straight and is connected to the main track at each end.

When the duration is one minute or 60 seconds, then the distance gained by other cars will be:

Distance gained by other cars in 10 seconds*6 = 1/4*6 = 3/2 miles

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Question 10
If the nth term of a sequence is
3n - 4 what is the 10th term?

Answers

Answer:

a₁₀ = 26

Step-by-step explanation:

to find a₁₀ substitute n = 10 into the nth term formula

a₁₀ = 3(10) - 4 = 30 - 4 = 26

Helpppp llsssssssssss

Answers

Answer:

Step-by-step explanation:

x = ( -b ± √b² - 4*a*c  ) / 2a

3x² - x + 6 = 0

x = ( 1 ± √1 - 4 *3*6) / 2(6)


Find the measure of

Answers

We can conclude that the angle ∠RST is 110°.

What are angles?An angle is a figure in plane geometry that is created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is the source of the English word "angle." The common endpoint of two rays is known as the vertex, and the two rays are referred to as the sides of an angle.

So, as we can see line R and line T are parallel to each other.

Join, R and T with a line that makes a right angle with both lines.

(Refer to the image attached below)

Now, we know that ∠R = 90° and ∠SRT = 90 - 60 = 30°.Similarly, ∠T = 90° and ∠STR = 90 - 50 = 40°.

In triangle SRT, we know the two angles which are ∠R = 30° and ∠T = 40°.

We know that sum of all angles in a triangle is 180°.

So, ∠S in triangle SRT will be:

40 + 30 + ∠S = 18070 + ∠S = 180∠S = 180 - 70∠S = 110

Therefore, we can conclude that the angle ∠RST is 110°.

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can someone answer this pls Im dying

Answers

Answer: The rectangle has 2, and the triangle has 3

Step-by-step explanation:

8632/29 8632 dived by 29

Answers

Answer:

the answer is

297.6551724138

What is the value of x? (1 point)
1. 24
2. 9
3. 21
4. 14
(i forgot the picture the first time)

Answers

(5x+15)°+(3x-3)°=180°(CO-INTERIOR ANGLES)

[tex]5x + 15 + 3x - 3 = 180 \\ 5x + 3x = 180 - 15 + 3 \\ 8x = 168 \\ \frac{8x}{8} = \frac{168}{8} \\ x = 21[/tex]

ATTACHED IS THE SOLUTION

Combine like terms 8x=168
Divide both sides by 8
X=21

7 9/16÷2 3/4 help me w my math

Answers

Answer is :

2.75

OR

2 3/4

do you guys know how to solve this? 5/6x +1/2 = 4/5x - 1/6

Answers

Answer: x = -20

Step-by-step explanation:

Step 1: Move Like Terms to the Same Side

5/6x - 4/5x = -1/2 - 1/6

Step 2: Multiply by 30 to Remove Fractions

25x - 24x = -15 - 5

Step 3: Combine Like Terms

x = -20

Answer:

The answer is x = -20

Step-by-step explanation:

Did the math

Select the correct answer. a charity organization is holding a food drive with a goal to collect at least 1,000 cans of food by the end of the month. it currently has 565 cans from donations and is having an event where 87 guests will attend and bring cans. which solution set represents the number of cans each guest must bring to meet the goal? a. a number line ranges from 0 through 10 from left to the right in increments of 1. a solid circular point is at 3. an arrow extends from the point toward the right. b. a number line ranges from 0 through 10 from left to the right in increments of 1. a hollow circular point is at 5. an arrow extends from the point toward the right. c. a number line ranges from 0 through 10 from left to the right in increments of 1. a hollow circular point is at 3. an arrow extends from the point toward the right. d. a number line ranges from 0 through 10 from left to the right in increments of 1. a solid circular point is at 5. an arrow extends from the point toward the right.

Answers

The number of cans each guest must bring to reach the goal must be greater than or equal to 5 by inequality.

What is inequality in math?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Let

x -----> the number of cans each guest must bring to meet the goal

we know that

The number of guests multiplied by the the number of cans each guest must bring to meet the goal plus the currently cans must be greater than or equal to 1,000 cans

so

The inequality that represent this problem is

565 + 87x ≥ 1000

Solve for x

565 + 87x ≥ 1000

Subtract 565 both sides

87x ≥ 1000 - 565

87 ≥ 435

Divide by 87 both sides

x ≥ 435/87

x≥ 5

therefore, The number of cans each guest must bring to reach the goal must be greater than or equal to 5.

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slope
P(-6, 16), Q(2, -4); R(-6, 14), S(-2, 4)

Answers

The slope of the given points is equal to -5/2 or -2.5.

What is a slope?

A slope is also referred to as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

For the given points P(-6, 16) and Q(2, -4), the slope is given by;

Slope = Δy/Δx

Slope = (-4 - 16)/(2 - (-6))

Slope = (-4 - 16)/(2 + 6)

Slope = -20/8

Slope = -5/2 or -2.5.

For the given points R(-6, 14) and S(-2, 4), the slope is given by;

Slope = Δy/Δx

Slope = (4 - 14)/(-2 - (-6))

Slope = (4 - 14)/(-2 + 6)

Slope = -10/4

Slope = -5/2 or -2.5.

In conclusion, the slope of the line that passes through the given points is equal to -5/2 or -2.5.

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Complete Question:

Find the slope of the given points. P(-6, 16), Q(2, -4); R(-6, 14), S(-2, 4)

Rewrite the expression as the sum of two numbers. 4(5 + 8)​

Answers

Answer:

20 + 32

Step-by-step explanation:

4(5 + 8)​

20 + 32 = 52

I hope this helps!

The functions f and g are defined as follows.
g(x) = 4x+2
f(x)=3x²-3x
Find f(-5) and g(-4).
Simplify your answers as much as possible.

Answers

The value of functions f(-5) and g(-4) are 90 and -14 respectively.

What are functions and how to evaluate them?An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable.In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.Finding the value of f(x) =... or y =... that corresponds to a certain value of x is what it means to evaluate a function. To accomplish this, merely swap whatever value has been set to x into each of the x variables.

Given functions are:

g(x) = 4x+2

f(x) = 3x²-3x

We have to find f(-5) and g(-4).

f(x) = 3x²-3x, here in the function we replace the x variables with the value given.

f(-5) = 3x²-3x

     = 3(-5)² - 3(-5)

     = 75 + 15 = 90

g(x) = 4x+2

g(-4) = 4×(-4) + 2

       = -16 + 2 = -14

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1. In a student election, Tyler defeated Julia by a ratio of 7 to 6. If there are 221 students
in the grade and all of them voted, how many votes did Julia receive?

A. 119
B. 107
C. 102
D. 89
E. 42

Answers

Answer:

c

Step-by-step explanation:

split 221 students in a ratio of 7:6

let x be 1/13th of the votes

221 = 7x + 6x

221 = 13x

17 = x

julia is the 6 in 7:6

6x

6(17)

102

the answer is c

A bottled water company quality control officer wants to find out how well the label machines are working. He is studying every machine and every bottle to make sure it is usable to a customer. Which represents a population?

the first fifty bottles labeled on Monday morning
one hundred bottles
all the bottles with incorrectly placed labels
all the bottles produced in one day

Answers

All the bottles produced in one day represents the population in statistics .

In statistics, a population is a collection of similar things or events that are important to a specific experiment or topic.

A statistical population can be made up of actual objects (such all the stars in the Milky Way galaxy) or hypothetical groups of things that are assumed to be an infinite number of objects based on experience-based generalizations (e.g. the set of all possible hands in a game of poker). A common objective of statistical analysis is to gather information about a chosen community.In statistical inference, a subset of the population (a statistical sample) is chosen to represent the population in a statistical study.The statistical sample must also fairly and accurately represent the population.

Since the population represents all the data for a particular time period , in this case we can conclude that the population for the factory will be all the bottles produced in 1 day.

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If 539 is invested at 17%, how much money will be in the account after 21 months Which statement is NOT true about drug therapy for clinical depression?A. It is important to gradually reduce the dosage before stopping the use of SSRIs.B. Antidepressants are not addictive so there are no withdrawal symptoms. Write a diary entry on a inviting on a birthday party. Which of these can damage a population oforganisms that has low genetic diversity?PredatorsHabitat fragmentation (destruction)DiseaseClimate change PLEASE HELP WILL GIVE BRAINLIEST!!!What do we learn about the narrator from this passage of "The Invalid's Story" Section 15: It seemed judicious to enlarge the facts to fit the probabilities; so I said, "Two or three days:' A. We learn that the narrator is a good guesser. B. We learn that the narrator says things without much thought. C. We learn that the narrator sometimes feels the need to say what he thinks people want to hear. The meaning of this cartoon is that the United States:insisted on being the only power in the Americas.was in debt to many Latin American nations.needed the help of the European powers to maintain control.was going to annex all of the Caribbean. [tex]x^{2 + 5x+6[/tex] letter on marin lives in the ocean simplify 3x + 5y - x + 2y a vendor sells hot dogs and bags of potato chips. a customer buys 3 hot dogs and 3 bags of potatochips for $8.25. another customer buys 5 hot dogs and 3 bags of potato chips for $11.25. find thecost of each item. A sub shop ordered 40 pounds of tomatoes. If the tomatoes are evenly distributed into 12 tubs, how many pounds will go into each tub? 8. Iron is sold in sheets that are 2.0 cm thick and 120.0 cm wide. You want to buya sheet of iron with a mass of 50,000.0 g. What must be the length of thesheet of iron? Select the reasons why agriculture was not very profitable in New England.The soil was not very fertile.The winters were long.There was not a market for agricultural products.The king forbid farming in the colonies. what did slaves think of white men What problems would real animals pose to a scientist while they are out sampling a population? What do August and her brother decide to do once they are free to go outside? Three students were scheduled to give book reports in 1 hour.After the first report, 2/3 hour remained (HINT: this means the first persons' report was 1/3 of an hour)The next report took 1/6 hour. What fraction remained? suppose a cell has at least the following molecules and structures: enzymes, dna, ribosomes, plasma membrane, chloroplast, and mitochondria. it could be a cell from . question 3 options: 14. What is the force that resists the force of gravity? Write about the time you were at your illest?