A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in captivity. The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles have lifespans of at least 24 years? Find the z-table here. O 0.0104 O 0.3336 O 0.4896 O 0.6664​

Answers

Answer 1

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, [tex]\mu=18[/tex]

and standard deviation, [tex]\sigma=2.6[/tex]

The z-score, for any arbitrary life span of  x year, is given by

[tex]z=\frac{x-\mu}{\sigma}[/tex]

By using the given values, we have

[tex]z=\frac{x-18}{2.6} \cdots(i)[/tex]

The z-score for x=24, by using equation (i), is

[tex]z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31[/tex]

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

Here is a riddle:
The sum of two numbers is less than 10.
If we subtract the second number from the first, the difference is greater than 3.
Write a system of inequalities that represents this situation. Let f represent the first number and s represent the second number.

Answers

Answer:

The system of inequalities that represents this situation will be:

[tex]f + s < 10[/tex]

[tex]f - s > 3[/tex]

Step-by-step explanation:

Let 'f' represent the first numberLet 's' represent the second number.

Given that the sum of the two numbers is less than 10. As 'less than' can be represented by '<'.

so the inequality would be: f + s < 10

Given that If we subtract the second number from the first, the difference is greater than 3. As 'greater than' can be represented by '>'.

so the inequality would be: f-s > 3

Thus, the system of inequalities that represents this situation will be:

[tex]f + s < 10[/tex]

[tex]f - s > 3[/tex]

Every hour at work, you are able to ship out the same number of
packages. If in the 2nd hour of work, you have shipped out 12 packages,
and by the 5th hour, you have shipped out 30 packages, what is the rate
at which you ship out packages?
-packages/hour

Answers

Answer:

its 6

Step-by-step explanation:

divided 12 with 2 and divided 30 with 5

ill give brainlist please answer asap
Addisonand Nolan are reading the same book. At the beginning of the month, Addison was on page 7 and Nolan was on page 47. Addison will read 11 pages per day and Nolan will read 6 pages per day. Let A represent the page of the book that Addison is on at the end of t days into the month, and let N represent the page of the book that Nolan is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine whether Addison or Nolan is farther along in the book after 4 days.​

Answers

Answer:

A = 51 pages

N = 71 pages

Nolan will be 20 pages farther along in the book than Addison after 4 days.

Step-by-step explanation:

for Addison if you multiply 11 by 4 you get 44 then you add 7 you get 51

For Nolan if you multiply 6 by 4 you get 24 then you add 47  and you final answer is 71

10 Points, Brainliest too. Plz plz answer.

Answers

Answer:

y > 4 so ya I think so yee haha

!!help please!!
Suppose a publishing company estimates that its monthly cost is C ( x ) = 600x^2 + 300x C(x)=600x^2 +300x and its monthly revenue is R ( x ) = − 0.4 x 3 + 700x^2 − 60 0 x + 500 R(x)=−0.4x^3 +700x^2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost. What is the profit function, P(x)?

Answers

The answer should be .4 X cubed +1300 X squared -300+50

A skateboarder is moving at 2.00 m/s and increases his velocity at a rate of 1.6 s/s for 6.0 seconds. What is the displacement of the skateboarder during this time?

Answers

Answer: That’s gotta be 48!

HELP FAST!!!

Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faster? Explain your reasoning..

Answers

Mai traveled faster, because 15 divided by 6 is 2.5 and 22 divided by 10 is 2.2. Therefore Mai traveled 0.3 meters faster per second.

PLSS helpp

btw have a nice day

Answers

It’s the first one! The table shows X going up and Y going down, so the slope would be negative!

−6x + 5y = 16x + 4y = −10

Answers

What do u want us to help u with?Im willing to help u!!

Answer:

    [tex]X=-\frac{5}{52}[/tex]

Step-by-step explanation:

[tex]-6x+5y=16x+4y=-10\\Let\\-6x+5y=-10(1)\\16x+4y=-10(2)\\8(1)+3(2):\\48x+48x+40y+12y=-80-30\\52y=-110\\y= -\frac{110}{52} =-\frac{55}{26}[/tex]

replace y into (1):

[tex]-6x+5(-\frac{55}{26})=-10\\-6x=-10-5(-\frac{55}{26} \\x= -\frac{5}{52}[/tex]

PLEASE MARK ME AS BRAINLIEST

help asap pls and ty

Answers

Answer:

(1, -2) minimum

Step-by-step explanation:

its minimum bc thats the least amount you can get since its going down and the point is (1, -2) by looking at the lowest point which is the minimum u can see that.

NEED HELP ASAP, I WILL GIVE BRAINLIEST.

A hurricane was detected in the Atlantic around 5 a.m. The National Weather Service determined that it will make landfall at a location described by a vector with components LeftAngleBracket 3, 7 RightAngleBracket. Around 6 a.m. on the same path, the hurricane is StartFraction 1 Over 10 EndFraction the total distance from where it was detected initially to where it will make landfall.

If the hurricane is traveling on a straight path, what are the characteristics of the vector representing the path of the hurricane at 6 a.m.? components:LeftAngleBracket 0.30, 0.70 RightAngleBracket, magnitude: 0.76 components:LeftAngleBracket 0.30, 0.70 RightAngleBracket, magnitude: 76 components:LeftAngleBracket 30, 70 RightAngleBracket, magnitude: 0.76 components:, magnitude: 76

Answers

Answer:

A

Step-by-step explanation:

got it right on edge

GIVEN: BA || CF, BC || ED.
PROVE: angle 1 is congruent to angle 2

#11 pleaseeee
20 points!!

Answers

Answer:

∠1 ≅ ∠2 ⇒ proved down

Step-by-step explanation:

#11

In the given figure

BA // CF

∵ BC is a transversal

∠1 and ∠BCF are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠1 = m∠BCF

∠1 ≅ ∠BCF ⇒ (1)

BC // ED

∵ CF is a transversal

∠BCF and ∠2 are corresponding angles

∵ The corresponding angles are equal in measures

∴ m∠BCF = m∠2

∠BCF ≅ ∠2 ⇒ (2)

From (1) and (2)

∵ ∠1 and ∠2 are congruent to ∠BCF

∴ ∠1 and ∠2 are congruent

∠1 ≅ ∠2 ⇒ proved


The value of 4 : 40.01 is

Answers

Answer:

Sunglower I really want to help, but personally I do not know the answer, but if this answer is going percentage wise, the answer would be 1.6004

Leslie's sister gave Leslie $120 as her celebration gift to get a job. Leslie put all the money into her bank account. Then she started save $100 each month. a. Write an equation in slope-intercept form (v = mx + b) to describe the relationship number of month and the total amount of savings.

Answers

Answer:

v = $100x + $120

Step-by-step explanation:

In this scenario, the fixed amount would be the $120 that Leslie's sister gave her. While $100 would be multiplied by the number of months (x) that have passed by which in this scenario would be our variable since we do not have this information. Lastly, these two values would be added to give us Leslie's total savings (v)

v = $100x + $120

could someone help for 10 points?​

Answers

Can you provide a better picture please it is blurry

solve for the value of x ​

Answers

Step-by-step explanation:

(4). Simplifying polynomials, help pls:) brainliest involved

Answers

Answer:

Explanation:

To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.

First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.

Let's identify some like terms below.

f(x)=−4x+3x2−7+9x−12x2−5x4

Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:

f(x)=5x+3x2−7−12x2−5x4

Let's do the same thing with the x-squared terms:

f(x)=5x+3x2−7−12x2−5x4

f(x)=5x−9x2−7−5x4

Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:

f(x)=−5x4−9x2+5x−7

Step-by-step explanation:

Drag each tile to the correct box. Order the expressions from least value to greatest value. ​

Answers

Answer:

[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15}+(-2\frac{4}{5})<-4.5\times -2.3[/tex]

Step-by-step explanation:

We will solve the given expressions and find the answer in decimals.

1). [tex]5\frac{6}{15}+(-2\frac{4}{5})[/tex] = [tex]5\frac{2}{5}-2\frac{4}{5}[/tex]

                   = 5.4 - 2.8

                   = 2.6

2). [tex]-3\frac{3}{10}-(-\frac{7}{20})=-3\frac{3}{10}+\frac{7}{20}[/tex]

                           = -3.3 + 0.35

                           = -2.95

3). [tex]\frac{5}{-1.6}=-\frac{5}{1.6}[/tex]

      = -3.125

4). (-4.5) × (-2.3) = 10.35

Solution of the expressions in the increasing order will be,

-3.125 < -2.95 < 2.6 < 10.35

[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15}+(-2\frac{4}{5})<-4.5\times -2.3[/tex]

Answer:

3rd is 1st

2nd is 2nd

1st is 3rd

4th is 4th

I hope this helps

Find the sum of 56 + (-56)
Find the sum of -240 + 370
Find the sum of -5.7 + (-4.2)

Answers

Answer:

0, 130, -9.9 I think

Step-by-step explanation:

Hope this helped!

Please help me out Solve for x and y

Answers

Answer:

\sqrt{81 + x^2} = y

\sqrt{y^2 - 7^2} = x

Step-by-step explanation:

They would be Pythagorean Triples.

a^2 + b^2 = c^2

9^2 + x^2 = y^2

\sqrt{81 + x^2} = y

7^2 + x^2 = y^2

x^2 = y^2 - 7^2

\sqrt{y^2 - 7^2} = x

Select all that apply. Proteins _____. are part of antibodies consist of amino acids contain carbon, hydrogen, oxygen, and nitrogen. are derived from fruits and vegetables

Answers

Answer:

parts of antibodiesconsist of amino acids containing carbon, hydrogen, oxygen, and nitrogen

Step-by-step explanation:

Antibodies are immune system-related proteins called immunoglobulins.

Proteins are made up of amino acids, which are small organic molecules made up of carbon, hydrogen, nitrogen, and oxygen.

Hope that helps.

find the axis of symmetry and vertex of y=-2x^3+8​

Answers

Answer:

Vertex:(0,8)     Axis of Symmetry: x=0

Step-by-step explanation:

find the whole number quotient and remainder of 201 divided by 12

Answers

Answer:192 r 9

Step-by-step explanation:

The division of 210 by 12 gives quotient = 17 and remainder = 6.

What is Division?

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

We have to divide 210 by 12.

So, the division is

                               12 | 210 | 17

                                      12

                                    ____

                                       90

                                       84

                                     _____

                                        6

Thus, the quotient = 17 and remainder = 6.

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ2

which is an equation of a line that has a slope of 1 and passes through (5,3)?

y=x-2
y=x+2
y=x+3
y=x-5
(15 pts.) Thank you :)

Answers

Plug in 5 for x
And see if it will result in 3
Y = 5-2, y = 3
The first one is correct

The value of 34 + 5 ⋅ 5 = ___.

Answers

The answer to this problem is 59

Need help. Nobody has answered me all day and I’m getting frustrated and confused lol

Answers

In triangle QPS and triangle QSR,

PQ = RQ [Given]

Angle PQS = Angle SQR [ a = a]

QS = QS [Common]

So, triangle QPS is congruent to triangle QSR by SAS (Side-Angle-Side) congruence rule.

So,

PS = SR [By CPCT (Corresponding parts of Congruent triangles) ]

=> b = 17

Calculate the total cost of a toy car which costs $30 plus 8% tax

Answers

Answer:

$32.7

I think lol

Step-by-step explanation:

I don’t know the answer

Answers

Answer:

b

Step-by-step explanation:

Use the distribution property to expand 7(8x - 2y) - 5

Answers

56x -14y - 5 is correct !

7(8x - 2y) - 5 = 56x - 14y - 5   [multiply the expression in the parentheses by 7 and then subtract 5]

PLEASE HELP QUICK!!!!!! WILL GIVE BRAINIEST!!!!!!!

Answers

Identify the slope of the equation, substitute by distribution I think, substitution for given point coordinates the y-intercept and combined like terms. And rewrite the equation in y-intersect form. I think this is write, have a great day!
Other Questions
- Separating Clauses: Choose the correct punctuation based on theconnection of two clauses. *A. The deer hunting season has led me to see more and more trucks parked on the sideof roads, you can hear gun shots ring out until dusk.you can hear gun shots ring outuntil dusk.B. The deer hunting season has led me to see more and more trucks parked on the sideof roads; you can hear gun shots ring out until dusk. Complete the chart :) A 700 kg car makes a turn going at 30 m/s with radius ofcurvature of 120 m. What is the force of friction between the car's tires and the road? 1. What made the Battles of Lexington and Concord significant? *They lasted weeks without any loss of livesThey were the final battles of the American Revolution.They were the first battles of the Revolutionary War.They were the most deadly battles in the history of the United States.2. Which document is a primary source concerning the American Revolution? *a videotape showing a reenactment of a battlea journal of the events written by a Continental soldiera social studies textbooka published article written by a history teacher3. A major argument for American Independence found in the Declaration of Independence was that the British *refused to sell products to Americansencouraged colonial manufacturingdid not give Americans their natural rightsstopped participating in the slave trade4. One of the principles stated in the Declaration of Independence is that government should *guarantee economic equality among citizenshave unlimited power to rule the peoplebe based upon the consent of the governedbe led by educated citizens5. Which battle is associated with the "shot heard around the world?" *SaratogaLexington and ConcordYorktownBunker Hill6. The primary purpose of the Declaration of Independence was to *establish a basic set of laws for the United Statesstrengthen the relationship between England and the coloniesstate the reasons for the American Revolutiondemand freedom of speech and press7. A basic idea stated by Thomas Jefferson in the Declaration of Independence is that *the power to govern a nation comes from the peoplepeople should always follow their governmentAmerica must have a constitutional conventionslavery must end in America.8. Which statement is most accurate about the movement for independence in the thirteen colonies? *6 pointsThe independence movement began soon after the founding of the Plymouth colonyProtests against British colonial policies gradually led to a demand for independenceThe King of England put an end to mercantilismThe colonists could not agree and all began to argue with each other9. "...We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among these are life, liberty, and the pursuit of happiness...." Which document contains these words? *6 pointsMayflower CompactTreaty of ParisEmancipation ProclamationDeclaration of Independence10. What country decided to provide military support to the Americans after they won the Battle of Saratoga? *7 pointsCanadaChinaGermanyFrance11. Which of the following marked the official end of the American Revolution? *6 pointsThe Treaty of Paristhe Battle of Brooklynthe 1782 peace talksthe Battle of Saratoga12. The Battle of Saratoga can be considered a major turning point in the American Revolution because it *6 pointsended the American invasion of Canadaled the French to send aid to the American patriotsforced General Washington to cross the Delawaredivided New England from the the rest of the colonies13. Which action could be justified by the ideas expressed in the Declaration of Independence? *7 pointsA democratic government cracks down on terrorists.Citizens try to overthrow an oppressive governmentThe government releases political prisoners.A government passes laws to segregate different races.14. The Battle of Brooklyn, The Battle of Saratoga, and the Battle of Yorktown would most likely be found in a book dealing with *7 pointsfamous Mayan and Inca battlesDutch rule in New Amsterdamthe French and Indian WarThe American Revolutionary War15. Washington's surprise attack across the Delaware River on Christmas night *7 pointswas the last battle of the Revolutionary Warboosted the morale of the Britishwas followed by calls for his resignationsurprised the enemy at Trenton and delivered a key Patriot victory What is the definition of ratification (3w^2 + 7W + 2) + (w^2 + 2W + 8) Find the slope of the line that is parallel to the line y=1/8x+8 in what domain electrica energy is the most use A thesaurus is an example of a(n) A)blog.B)e-book.C)e-zine. D)online reference. Peyton has n nickels and d dimes. She has no less than 21 coins altogether.Write this situation as an inequality. PLEASE HELPP write in factored form g(x)= x^3 - 4x^2 - x + 22 If 1/4 (6 + x) = 6, what is the value of x?A. 30B. 18O C. 12D. 8 1/2 The teacher will present pictures of paintings of the impressionist painter Claude Monet, Wassily and Vincent Van Gogh. Let the students react or say something about the pictures From the words below, which ones are likely the same, almost the same, and not at all the same as the word CHERISH. Remember to put it in order.lovetreasurehonorlikeadorecare A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2760 seats. The students filled 45% of the seats in the theater. How many 6th graders went on the trip? Need help (pic) What is the slope of the line Which object would be more difficult to get to a velocity of 10 cm/s a 20 kg bowling ball or a 1 kg tennis ball? Why? Use the terms force, mass, and velocity in your explanation. having passion for a subject is more important than having knowledge about it? how is the preodictable arranged by atomic mass, coloms , and rows Select the term for what a manufacturer spends for goods or services