The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1. 2. Approximately what percentage of the armadillos are between 13 and 17 years old? 20. 33% 49. 38% 47. 62% 79. 5%.

Answers

Answer 1

Approximately 79.5% of the armadillos are between 13 and 17 years old.

To determine the percentage of armadillos between 13 and 17 years old, we need to calculate the cumulative probability within that range using the normal distribution.

Given that the ages of armadillos are normally distributed with a mean (μ) of 14 years and a standard deviation (σ) of 1.2 years, we can use the properties of the normal distribution to find the desired percentage.

To calculate the percentage, we need to find the z-scores corresponding to the values of 13 and 17, and then find the cumulative probability associated with those z-scores.

First, let's calculate the z-score for 13:

z = (x - μ) / σ

= (13 - 14) / 1.2

≈ -0.833

Next, let's calculate the z-score for 17:

z = (x - μ) / σ

= (17 - 14) / 1.2

≈ 2.5

Using a standard normal distribution table or a statistical software, we can find the cumulative probabilities associated with these z-scores.

The cumulative probability for a z-score of -0.833 is approximately 0.2023 (or 20.23%).

The cumulative probability for a z-score of 2.5 is approximately 0.9938 (or 99.38%).

To find the percentage of armadillos between 13 and 17 years old, we subtract the cumulative probability of 13 from the cumulative probability of 17:

Percentage = (0.9938 - 0.2023) * 100

≈ 79.5%

Therefore, approximately 79.5% of the armadillos are between 13 and 17 years old.

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Approximately what percentage of the armadillos are between 13 and 17 years old?

Related Questions

To build your own capacitor, you have cut your sheets of wax paper and aluminum foil to a length of L = 0.8 m and you are rolling them on a pipe of diameter D = 5 cm. What is the number of turns? -n = 2.6 -n = 20.4 -n = 5.1 -n=10.2

Answers

The number of turns in the capacitor is approximately 5.1.

How we get the number of turns (n)?

The number of turns in the capacitor can be calculated using the formula:

n = L / [π(D + t)]

where L is the length of the sheets, D is the diameter of the pipe, and t is the thickness of the sheets.

Using the provided values, we can calculate the number of turns as follows:

L = 0.8 mD = 5 cm = 0.05 mt = negligible (assumed to be much smaller than D)

n = 0.8 / [π(0.05)]

= 5.092 (rounded to one decimal place)

In this problem, we are asked to calculate the number of turns in a capacitor made from sheets of wax paper and aluminum foil that are rolled on a pipe of diameter 5 cm. We are given the length of the sheets as 0.8 m.

To calculate the number of turns, we can use the formula that relates the length of the sheets, diameter of the pipe, and thickness of the sheets to the number of turns in the capacitor. Assuming the thickness of the sheets is much smaller than the diameter of the pipe, we can ignore the thickness in the calculation.

Using the provided values and this formula, we find that the number of turns is approximately 5.1. This means that the sheets need to be rolled around the pipe about 5 times to create the capacitor.

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Which number line represents the solution set for the inequality -
1-2x24?
+
2
--10
-8
-6
-4
-2
0
4
6
8
10
+
+
-6
+
0
+
2.
+
4
+
6
+
8
+
10
-10
-8
-2
-10
-6
-2
0
2.
4
6
8
10
O
-10
-8
-6
-2
0
2
4
6
8
10

Answers

Answer:

47.7

Step-by-step explanation:

Answer:

It’s C.

Step-by-step explanation:

I WILL GIVE
Create an equivalent expression for this

Answers

Answer: C

Step-by-step explanation:

Answer: I think the answer is A.

Step-by-step explanation:

Help Me Find Y
Show Work

Answers

Answer:

y = 12

Step-by-step explanation:

if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant , that is

y² = 8(8 + 6 + 4) = 8 × 18 = 144 ( take square root of both sides )

y = $\sqrt{144}$ = 12

The engineer in charge of the coffee manufacturing process examines the confidence intervals for the mean caffeine content calculated over the past several weeks and is concerned that the intervals are too wide to be of any practical use. That is, they are not providing a very precise estimate of μ.

a. What would happen to the width of the confidence intervals if the level of confidence of each interval is increased from 95% to 99%?

b. What would happen to the width of the confidence intervals if the number of samples per hour was increased from 50 to 100?

Answers

a) If the level of confidence of each interval is increased from 95% to 99%, the width of the confidence intervals will increase.

b. If the number of samples per hour was increased from 50 to 100, the width of the confidence intervals will decrease.

a) When the level of confidence of each interval is increased from 95% to 99%, the intervals will be wider. This is because a higher level of confidence requires a larger margin of error. The margin of error is the range within which the true population parameter is likely to fall with a given level of confidence. An increase in the level of confidence will result in a wider margin of error, hence a wider confidence interval.

b) When the number of samples per hour is increased from 50 to 100, the standard error of the mean will decrease. This is because the standard error of the mean is inversely proportional to the square root of the sample size. A larger sample size will lead to a smaller standard error of the mean, which in turn results in a narrower confidence interval.

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If an expression showed 8 over b, what would a phrase be for 8 over b???

Answers

Answer:

8 divided by b

Step-by-step explanation:

"8 over b" is the same as this : $\frac8b$

Remember, a fraction is a division problem where the numerator is being divided by the denominator.

8 over b is 8 divided by b

-Chetan K

the six sigma dmaic approach is the best way to attack all problems and should be employed whenever possible. true or false?

Answers

False. The Six Sigma DMAIC approach is one of many problem-solving methods that can be used, and is most appropriate when the problem is complex and the potential solutions are not immediately evident.

Six Sigma DMAIC (define, measure, analyze, improve, control) is a strategy used to improve processes and products. It is designed to help companies identify and eliminate defects and reduce variability in their processes. It is not the best way to attack all problems, as there are many other problem-solving methods, such as Design Thinking and Lean, that may be more suitable solution depending on the complexity of the problem.

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Using the function, g(x) = 5x - 2 and the domain below, state the range.

Domain: {-3, -1, 0, 2}

Answers

Answer:

{2-,-3,5.5}

Step-by-step explanation:

g(x) = 5x - 2

Domain: {-3, -1, 0, 2}

Range: Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 2 − − 3 = 5 . 5

How does level of affluence affect health care? To address one dimension of the problem a group of heart attack victims was selected. Each was catego- rized as a low-, medium-, or high-income earner. Each was also categorized as having survived or died. A demographer notes that in our society 25% fall into the low-income group, 55% into the medium-income group and 20% are in the high-income group. Furthermore, an analysis of heart attack vic- tims reveals that 12% of low-income people, 9% of medium-income people and 7% of high-income people die of heart attacks. (a) What is the probability of dying from a heart attack? (b) Find the probability that a survivor of a heart attack is in the high- income group

Answers

(A) The probability of dying from a heart attack is 0.0935

(B) The probability that a survivor of a heart attack is in the high-income group is 0.93

(a) The probability of dying from a heart attack, we need to calculate the weighted average of the death rates based on income groups.

Let's denote the events as follows:

L = Low-income group

M = Medium-income group

H = High-income group

D = Death from a heart attack

P(L) = 0.25 (low-income group)

P(M) = 0.55 (medium-income group)

P(H) = 0.20 (high-income group)

P(D|L) = 0.12 (death from a heart attack for low-income people)

P(D|M) = 0.09 (death from a heart attack for medium-income people)

P(D|H) = 0.07 (death from a heart attack for high-income people)

The overall probability of dying from a heart attack, we can use the law of total probability:

P(D) = P(D|L) × P(L) + P(D|M) × P(M) + P(D|H) × P(H)

P(D) = 0.12 × 0.25 + 0.09 × 0.55 + 0.07 × 0.20

P(D) = 0.0935

The probability of dying from a heart attack is 0.0935

(b) To find the probability that a survivor of a heart attack is in the high-income group, we can use Bayes' theorem.

Let's denote the event S as surviving a heart attack.

We want to find P(H|S), which is the probability of being in the high-income group given that the person survived.

According to Bayes' theorem:

P(H|S) = 1 - P(D|H)

P(H|S) = 1 - 0.07

P(H|S) = 0.93

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I need help asap please I’ll give you brainlest

Answers

Answer:

Step-by-step explanation:

Trust me

It Table b I’m sure of it

Which of the following verifies that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8]

Answers

To verify that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8], we need to ensure that two conditions are met:

1. Continuity: We need to check if g is continuous on the interval [0, 8]. This means that there should be no breaks, jumps, or holes in the graph of g over this interval. To verify continuity, we can examine if there are any vertical asymptotes, removable discontinuities, or jumps in the graph of g within the interval [0, 8].

2. Differentiability: We need to check if g is differentiable on the open interval (0, 8). This means that the derivative of g should exist and be finite at every point within the interval (0, 8). To verify differentiability, we can examine if the derivative of g exists and is finite for all values of x in the open interval (0, 8).

To summarize, to verify that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8], we need to ensure that g is continuous on [0, 8] and differentiable on (0, 8). If both of these conditions are met, then g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8].

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WILL GIVE BRAINLIEST
What is the area of the triangle?

Answers

Answer:

it's answer is a

Area of a triangle = 1/2 * base * height

= base = (x1 ^2 + y1^2) and height = (x2 ^2 + y2^2)

Step-by-step explanation:

so, area of triangle = 1/2 * (x1 ^2 + y1^2) + (x2^2 + y2^2)

so the answer is a

Which is the range for the function shown in the graph below?

All real numbers for
x

All real numbers for
y

x≤
2

y≥
3

Answers

The range of the function shown in the graph is the set of all real numbers for y.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The set of input values in the function is called domain and the set of output values are called range of the function.

So the range of the function will be the set of y values.

From the graph, it is clear that, the curve is passing corresponding to every y value.

In other words, if we draw a horizontal lines from curve, all the y values are touching the curve.

So the range is the set of all real numbers.

Hence the range is all the real numbers for y.

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Okay I have reposted the question. Please help me ASAP

Answers

Answer:

angle 9

Step-by-step explanation:

Giving brainliest!!!Please help.. :(

Select the statement that describes this expression: 5 x (3 + 4) − 4.

A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4

Answers

A is the answer 5 times the sum of 3 and 4 then subtract 4

Answer:

Step-by-step explanation:

A the anser is A deal with it...

y=? what does this even meannnnn

Answers

The calculated measure of angle y is 60 degrees

How to calculate the value of y

from the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

The shape can be divided into two triangles such that

Each triangle is an equilateral triangle

The measure of an angle in an equilateral triangle is 60 degrees

using the above as a guide, we have the following:

y = 60

Hence, the value of y is 60 degrees

Answers

The missing statement in Step 5 include the following: B. AC/DC = BC/EC.

What are the properties of similar triangles?

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the angle, angle (AA) similarity theorem, we can logically deduce the following congruent triangles:

ΔABC ≅ ΔDEC ⇒ Step 4

By the definition of similar triangles, we can logically deduce the following proportional and corresponding side lengths:

AC/DC = BC/EC ⇒ Step 5

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Consider the proof.Given: Segment AB is parallel to line DE.Prove:StartFraction A D Over D C EndFraction

Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)

Answers

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Find the distance between (8,-2) and (-2,6)

Answers

2 (square root of 41)

A dependent variable is the variable that we wish to predict or explain in a regression model. True False

Answers

True. In a regression model, the dependent variable is the variable that we aim to predict or explain using one or more independent variables.

In a regression model, the dependent variable is indeed the variable that we aim to predict or explain. It represents the outcome or response variable that we are interested in understanding or analyzing. The purpose of the regression analysis is to examine the relationship between this dependent variable and one or more independent variables. By identifying and quantifying the influence of the independent variables on the dependent variable, regression analysis allows us to make predictions or explanations about the behavior or value of the dependent variable.

The regression model estimates the relationship between the variables based on observed data and uses this information to infer how changes in the independent variables impact the dependent variable.

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7. A line is parallel to the x-axis and passes through the point (-3, 6). Which of the following statements are true? beco disc I. The slope of the line is zero. II. The equation of the line is x = -3 III. The line is horizontal. a. I only b. II & II c. I & III d. All of the statements are true.

Answers

Answer:

The answer is C. I & III

Step-by-step explanation:

The slope of the line is zero and the line is horizontal.

It is found that the slope of the line is zero and the line is horizontal. The answer is C. I & III

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has the equation; y = 2x + 2, its slope is 2 and thus, the slope of the needed line is 2.

Given that line is parallel to the x-axis and passes through the point (-3, 6).

The equation of the line would be 6 = -3m + c

We can conclude that the slope of the line is zero and the line is horizontal.

The answer is option C. I & III

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Determined three ways have a total cost of six dollars each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Answers

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

How to find the number of fruits bought?

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

y = number of bananas

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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You frop a ball off a 50-foot roof to see how long it will bounce. Wach bounce looses 10% of the height of its previous bounce. How high will the 8th bounce be in feet?

Answers

Answer:

$50( {.9}^{8} ) = 21.52$

The 8th bounce will be about 21.52 feet high.

FILL IN THE BLANK. if it is impossible for events a and b to occur simultaneously, the events are said to be dependent. for such events, p(a or b) = ________.

Answers

When events A and B are mutually exclusive or disjoint, the probability of either event A or event B occurring is equal to the sum of their individual probabilities, represented by P(A or B) = P(A) + P(B).

If it is impossible for events A and B to occur simultaneously, the events are said to be mutually exclusive or disjoint.

For mutually exclusive events, the probability of either event A or event B occurring is equal to the sum of their individual probabilities.

Therefore, for mutually exclusive events A and B, the probability of A or B occurring, denoted as P(A or B), is given by:

P(A or B) = P(A) + P(B)

This is because when events A and B are mutually exclusive, they cannot occur together.

Thus, the probability of either event A or event B happening is simply the sum of their individual probabilities.

It is important to note that this statement holds true only for mutually exclusive events.

If events A and B are dependent or not mutually exclusive, we need to consider other factors such as their joint probability and the probability of their intersection.

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For a filed trip the school bought 47 sandwiches for $40.60 each and 39 bags of chips for $1.25 each. How much did the school spend in all?

Answers

Answer:

$1,956.95

Step-by-step explanation:

The school bought 47 sandwiches for $40.60

= 47 × 40.60

= 1,908.2

They also bought 39 bags of chips for $1.25

= 1.25×39

= 48.75

Therefore the total amount spent can be calculated as follows

= 48.75 + 1,908.2

= 1,956.95

Hence the total amount spent by the school is $1,956.95

-X/3=9 linear equations

Answers

Answer:

x = -27

Step-by-step explanation:

-x/3 = 9

Multiply each side by -3

x/-3 * -3 = 9*-3

x = -27

See attachment for math work and answer.

If (x-2) is a factor of xsquare+3x+5a find the value of a

Answers

Answer:

a = -2

Step-by-step explanation:

(x-2) (x+b) = x² + (b-2) x - 2b = x² + 3x + 5a

b-2 = 3

b = 5

5a = - 2b = - 10

a = -2

Solve the equation by factoring: 12y^3 – 13y^2 + 3y = 0

Answers

Answer:

y = 0, y = $\frac{1}{3}$, y = $\frac{3}{4}$

Step-by-step explanation:

Given

12y³ - 13y² + 3y = 0 ← factor out y from each term

y(12y² - 13y + 3) = 0

y(3y - 1)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y = 0

3y - 1 = 0 ⇒ 3y = 1 ⇒ y = $\frac{1}{3}$

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = $\frac{3}{4}$

Please answer this question

Answers

Answer:

A. The cost of purchasing one pencil.

Step-by-step explanation:

The slope of the line, m, represents the rate of change in cost per pencil. In other words, it represents how much the cost increases or decreases for each additional pencil purchased. To find the slope, we can use the formula:

m = (change in cost) / (change in number of pencils)

You can calculate the slope m by using two points from the table and the formula for slope: m = (y2 - y1) / (x2 - x1), where x1 and y1 are the coordinates of the first point and x2 and y2 are the coordinates of the second point. For example, using the first two points from the table (3, 1.05) and (7, 2.45),

Using the data from the table, we can calculate:

m = ($2.45 - $1.05) / (7 - 3)

m = $1.40 / 4

m = $0.35

Therefore, the slope of the line is $0.35 per pencil.

The slope of the line represents the rate of change in cost with respect to the number of pencils. In this case, m represents the cost of purchasing one pencil.

Which of the following are equations for the line shown below? Check all that apply.
A. y-1 =0.4(x-5)
B. Y+3=0.4(x+5)
C. y-5=0.4(x-1)
D. y-3=0.4(x-5)

Answers

Answer:

Maybe C?.. Pls dont trust me I haven done this in a while.

Step-by-step explanation:

Other Questions

2. Self-sufficiency is having the confidence to make responsible decisions? True or false if there are 400 apples what percent would 50 apples be? Please choose the answer that best describes the person you completed the A_I_Revision Checklist with. Question 1 options: My Learning Coach A parent or family member A friend Someone else that is not really listed above, but I trusted to help me revise my essay. Does the note on the staff correspond with the highlighted note on the keyboard? Write an expression showing the sum of 8 and a number f.Show Your Work A 2-column table with 10 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4, 5. The second column is labeled f of x with entries 105, 0, negative 15, 0, 9, 0, negative 15, 0, 105, 384. According to the table, which ordered pair is a local minimum of the function, f(x)? (0, 9) (4, 105) (1, 0) (2, 15) PLEASE ANSWER!!! How does the structure of the article change after the section "Origins of the utopian idea"?1) It moves from defining terms associated with utopian experiments to discussing some of the lesser known utopian colonies2) It moves from explaining why utopian societies were established to describing the effects the societies have had on modern communities3) It moves from providing a general overview of utopian communities to describing the characteristics of several specific utopian colonies4) It moves from explaining the purpose of utopian experiments to giving a chronological account of utopian colonies in AmericaPlease answer A car covers 100 km in 2 h , what is the speed of the car. I want full answer Explain two ways the use of predictive techniques could reduce the impact ofcoastal flooding. One social trend that accompanied industrialization was : an increase in the number of adult children living at home a decline in the birth rate a significant decline in abortions Study the following graphic organizer, then determine which answer BEST completes the chart for space 1, space 2, and space 3.A.space 1: auxiliaryspace 2: Expresses actions being performedspace 3: RoboCup will remain at the cutting edge of technological advances.B.space 1: actionspace 2: Connects subjects and complements (i.e., predicate adjectives and predicate nominatives)space 3: RoboCup will remain at the cutting edge of technological advances.C.space 1: auxiliaryspace 2: Connects subjects and complements (i.e., predicate adjectives and predicate nominatives)space 3: RoboCup will remain at the cutting edge of technological advances.D.space 1: linkingspace 2: Connects subjects and complements (i.e., predicate adjectives and predicate nominatives)space 3: RoboCup will remain at the cutting edge of technological advances. What is a solution based process and why is it important to engineering the energy stored in atp comes from which of the following? the energy stored in atp comes from which of the following? adenosine triphosphate kinetic energy food molecules heat Peer groups are organized by interest, ethnicity, or status & popularity.TrueFalse The word ____ is used to indicate that a program is permanently held in rom (read only memory), as opposed to being held in secondary storage. successful outcomes of crisis depend on what three things? (PSC) What is the answer? Plz help At a crime scene, the forensic investigator notes that the 6.2-g lead bullet that was stopped in a doorframe apparently melted completely on impact. The specific heat of lead is 130 J/kgC, the heat of fusion is 25 kJ/kg, the melting point is 327C.Assuming the bullet was shot at temperature 20 C, what does the investigator calculate as the minimum muzzle velocity of the gun? Which equation represents a line which is perpendicular to the line 4x + 3y = 24? V Oy= x - 4 Submit Answer y = // 2 1 4 x 5 An oscillating LC circuit consists of a 91.2 mH inductor and a 4.49 uF capacitor. If the maximum charge on the capacitor is 3.97 HC, what are (a) the total energy in the circuit and (b) the maximum current? (a) Number Units (b) Number Units