The lengths of a certain species of fish were found to be normally distributed. The mean length is 73 cm with a standard deviation of 8 cm. In a school of 480 of these fish, about how many would be longer than 57 cm?

Answers

Answer 1

Answer:

251

Step-by-step explanation:

Given - Mean length of fish  = μ= 73  cm

SD  σ =8 c m

Number of fish having a length greater than 57 cm out of 480.

Find the value of  z  at  x = 57

[tex]z= \frac{x-\mu}{\sigma} = \frac{57-73}{8}\\=\frac{-16}{8} = -2[/tex]

Area between  z = − 2 and  z =  ∞

= Area between  z = − 1  and  z = 0 +

Area between  z = 0  and  z = ∞

=0.02275+0.5= 0.52275

Therefore number of fish having teeth greater than 57 cm

= 0.52275*480 = 5.2275*48 = 250.92 ≅251


Related Questions

What is the percent increase from 48 to 50?

Answers

Answer:

4%

Step-by-step explanation:

Since percentages are counted with % (100), we multiply 50 by 2 to get 100. We also 48 by 2 to get 96. Then we subtract 96 from 100 to get 4%.

48 increases by 4% o get 50.

Answer:

4 percent

Step-by-step explanation:

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on a number line, suppose point E has a coordinate of 3, EG=6, and EX=12. is G the midpoint of EX? what are the possible coordinates for G and X?

Answers

Answer:

could be, isn't necessarilyG = -3 or 9; X = -9 or 15

Step-by-step explanation:

If E is 3 and EG is 6, then ...

  G = E ± EG = 3 ± 6

  G = -3 or 9

If E is 3 and EX is 12, then ...

  X = E ± EX = 3 ± 12

  X = -9, or 15

__

If X and G have the same sign, then G will be the midpoint of EX. If not, then G is not the midpoint.

That is, -3 is halfway between -9 and 3, just as +9 is halfway between 3 and +15. On the other hand, -3 is not between 3 and 15; nor is 9 between 3 and -9.

1) solve 9(x-11)=9

2) solve 4(3x-2)=52

3) solve 44=2(3x-5)

4) solve 2x-4/5 = 4

5) solve 3x+2/2 = 13

6) solve 4x-5/5 = 3

7) solve 10x+4/7 = 8

8) solve 6x-1/2 = 1

I need full workings out please x
thank you

Answers

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Hi my lil bunny!

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1) solve 9(x-11)=9

[tex]x = 12[/tex]

2) solve 4(3x-2)=52

[tex]x = 5[/tex]

3) solve 44=2(3x-5)

[tex]x = 9[/tex]

4) solve 2x-4/5 = 4

[tex]x = \frac{12}{5}[/tex]

5) solve 3x+2/2 = 13

[tex]x = 4[/tex]

6) solve 4x-5/5 = 3

[tex]x = 1[/tex]

7) solve 10x+4/7 = 8

[tex]x = \frac{26}{35}[/tex]

8) solve 6x-1/2 = 1

[tex]x = \frac{1}{4}[/tex]

( Sorry ! The questions are too much for me to add the explanation )

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Have a great day/night!

❀*May*❀

Answer:

see below explanation

Step-by-step explanation:

1.  9 (x - 11) = 9

   9x - (9 * 11) = 9

   9x - 99 = 9

   x = 12

2.  4 (3x - 2) = 52

    (4 * 3x) - (4 * 2) = 52

    12x - 8 = 52

    x = 5

3.  44 = 2 (3x - 5)

    44 = (2 * 3x) - (2 * 5)

    44 = 6x - 10

    x = 9

4.  2x- 4/5 = 4

    2x - 2²/5 = 4

    5(2x) + (-2²)  /  5  = 4

    x = 12 / 5

5.   3x + 2/2 = 13

     3x + 1 = 13

    (3x + 1) + (-1) = 13 + (-1)

    x = 4

6.   4x -5/5 = 3

      4x - 1 = 3

      (4x - 1) + 1 = 3 + 1

      x = 1

7.   10x + 4/7 = 8

     10x + 2²/7  = 8

     7(10x) + 2²  /  7   = 8

     x = 26 / 35

8.    6x - 1/2 = 1

       2(6x) + (-1) / 2 = 1

      ((2 * 6x) - 1 ) / 2 = 1

      x = 1/4

How do you do this problem? See attached image

Answers

Divide both sides by -6.

Answer:

I think the answer is d

Step-by-step explanation: you have to divide both sides by 6

please mark as brainliest

Which graph represents the system of equations? {2x+y=4 −x−3y=3}

Answers

Answer:

this is the answer

I think it is right

What is the volume of a rectangular prism 6 m by 2 m by 10 m

Answers

Answer:

120[tex]m^{3}[/tex]

Step-by-step explanation:

The formula for V (volume) is l*w*h (length*width*height).

You can substitute each part of the formula for the given units.

6m*2m*10m = V

6m*m2 = 12[tex]m^{2}[/tex]

12[tex]m^{2}[/tex]*10m = 120[tex]m^{3}[/tex]

120[tex]m^{3}[/tex] = V

What is the value of x + y

Answers

[tex]\begin{cases}2x+3y=12\\2x-2y=2\end{cases}\\ --------(-)\\2x-2x+3y-(-2y)=12-2\\\\5y=10\quad|:5\\\\\boxed{y=2}\\\\\\2x-2y=2\quad|:2\\\\x-y=1\\\\x=1+y\\\\x=1+2\\\\\boxed{x=3}[/tex]

so:

x + y = 5

can you help me find this answer

Answers

Answer:

a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.

Step-by-step explanation:

for question a, there are 18 girls in the class, this is how i worked it out:

the ratio of boys to girls is 4:3.

there are 24 boys.

24 is 6 times more than 4.

if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.

6x3= 18.

for question b i got 20 boys and 15 girls, this is how i did it.

there are 35 students in total.

4:3= boys to girls.

4+3=7

7 goes into 35 five times.

ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.

answer= 20 boys and 15 girls.

12 oranges is a better deal, this is how i worked it out.

it is 60 for 12 oranges.

it is 48 for 8 oranges.

12x5= 60 , 8x6=48.

you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.

A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled. Which statement correctly explains how to find the distance traveled after 150 hops?

Answers

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

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

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

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

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

Point I is on line segment HJ. Given HI = x, IJ = 2x + 9, and
HJ = 4x, determine the numerical length of IJ.

Answers

Answer:27

Step-by-step explanation:

The numerical length of IJ is 27 units.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that Point, I is on line segment HJ. Given HI = x, IJ = 2x + 9, and

HJ = 4x.

The total length of the line will be written as below:-

HJ = HI + IJ

4x = x + 2x + 9

4x = 3x + 9

4x - 3x = 9

x = 9

The length of the segment IJ will be:-

IJ = 2x + 9

IJ = ( 2 x 9 ) + 9

IJ = 18 + 9

IJ = 27

Therefore, the numerical length of IJ is 27 units.

To know more about line segments follow

https://brainly.com/question/2437195

#SPJ2

What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
f(x) = (x - 2)(x - 7)
f(x) = (x + 2)(x + 7)
f(x) = (x - 3)(x + 7)
f(x) = (x+3)(x-7)

Answers

Answer: f(x) = (x + 3)(x – 7)

You welcome.

Lee washes the outsides of houses. It takes him 40 minutes to power wash a one-story home, and he uses 180 gallons of water. Power washing a two-story home takes less than 90 minutes, and he uses a maximum of 5,000 gallons of water per week. Lee works no more than 40 hours each week, and his truck holds 500 gallons of water. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his weekly washing income washing houses. Let x represent the number of one-story houses and y represent the number of two-story houses.


What are the constraints for the problem?

Answers

Answer:

40x + 90y <2400

18x + 30y < 500

Step-by-step explanation:

Lee washes houses. It takes him 40 minutes to wash a one-story home, and he uses 18 gallons of water. Power washing a two-story home takes less than 90 minutes, and he uses 30 gallons of water. Lee works no more than 40 hours each week, and his truck holds 500 gallons of water. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his income washing one- and two-story houses. Let x represent the number of one-story houses and y represent the number of two-story houses. What are the constraints for the problem

Let

x=one story houses

y=two story houses

The constraints are the following:

1. Lee works no more than 40 hours each week.

40 hours=40 × 60 minutes

=2400 minutes

2. Lee's truck holds 500 gallons of water.

it takes Lee 40 minutes and 18 gallons of water to wash a one-story house.

it takes Lee 90 minutes and 30 gallons of water to wash a two-story house.

First constraint:

40*x + 90*y < 2400

40x + 90y <2400

Second constraint:

18*x + 30*y < 500

18x + 30y < 500

Answer:

It’s D

Step-by-step explanation:

Which has a greater capacity: a bottle containing 32 ounces of iced tea, a bottle containing 1 Liter of iced tea, or a bottle containing 2 pints of iced tea?

2 pints
They are all the same capacity.
32 ounces
1 Liter

Answers

Answer:

1 liter

Step-by-step explanation:

2.11338 pints = 1 liter

33.814 ounces = 1 liter

For the equation r/4 = 16, select the appropriate property of equality to move the coefficient to the right side of the equation. A. Subtraction Property of Equality B. Addition Property of Equality C. Division Property of Equality D. Multiplication Property of Equality

Answers

Answer: 1:b subtraction property of equality

2:c multiplication property of equality

3:d division property of equality

4: a addition property of equality

5: d the statement is false.the subtraction property of equality should be used first to remove the constant term before dividing

i took the test.

Expand and Simplify 3(4x + 1 ) -2(3x-4)

Answers

Answer:

[tex] \boxed{ \bold{ 6x + 11}}[/tex]

Step-by-step explanation:

[tex] \mathsf{3(4x + 1) - 2(3x - 4)}[/tex]

Distribute 3 through the parentheses

[tex] \mathsf{12x + 3 -2(3x - 4)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \mathsf{12x + 3 - 6x + 8}[/tex]

Collect like terms

⇒[tex] \mathsf{6x + 11}[/tex]

Hope I helped!

Best regards!!

Answer:6x+11

Step-by-step explanation:do whats in the parenthesis first and then the answer that you got your going to use the same addition, or multuplication , or subtraction sign . then you will get your final answer/,

Find the difference of (3x^2 – 5x + 7) and (x^2+ 2x - 1).
a. Is 3x^2 – 5x + 7 a polynomial? If not, give an explanation.
b. Is x^2+ 2x – 1 polynomial? If not, give an explanation.
c. Is the difference a polynomial? If not, give an explanation.
d. If the difference is a polynomial, identify the constant term.

Answers

Answer:

Step-by-step explanation:

A polynomial is a mathematical expression in sum of powers with one or more variables multiplied by coefficients.

a) 3x² - 5x + 7 is a polynomial

b) x² + 2x - 1 is a polynomial

c) 3x² - 5x + 7 - [x² + 2x -1 ]= 3x² - 5x + 7 - x² - 2x + 1

 {add like terms}               = 3x² - x² - 5x - 2x +7  +1

                                          = 2x² - 7x + 8

2x² - 7x + 8  is a polynomial

d) Constant term = 8

                                           =

The second digit after the decimal point in a number is 4. What is the value of 4 in the number? 1 thousandth 4 thousandths 1 hundredth 4 hundredths

Answers

Answer:

D. 4 hundredths

Step-by-step explanation:

Hello!

The second digit after the decimal point is 4 is shown by

0.04

The points after a decimal point go tenths, hundredths, thousandths etc.

The answer is D. 4 hundredths

Hope this helps!

Answer:

4 hundredths

Step-by-step explanation:

For values of decimals one should note that each additional digit after the decimal is a multiple of (1/10).

Using this knowledge, the first digit would be tenths, the second digit hundredths, the third digit thousandths, etc.

Hence a 4 in the second digit after the decimal would be equivalent to 4 * (1/100) = (4/100) or 4 hundredths.

Cheers.

The diameter of a circle has the endpoints of (2, 5) and (-8, 29). Find the center and radius of the circle. ANSWERS ATTACHED, due in 2 hours, will give BRAINLIEST! 15 points!

Answers

Answer:

[tex]\mathrm{Center\:\:}= (- 3,17)\\\mathrm{Radius\:\:}= 13[/tex]

Step-by-step explanation:

Remember that the center of the circle would be equidistant from the given points that lie on the circle.

By determining the diameter through the distance of the given points, we can determine the radius by dividing this distance by 2. And by determining the radius we can determine the center of the circle. Let's do it.

[tex]\mathrm{Distance\:between\:}\left(2,\:5\right)\mathrm{\:and\:}\left(-8,\:29\right) = \sqrt{\left(-8-2\right)^2+\left(29-5\right)^2} = 26[/tex]

[tex]\mathrm{Radius\:\:}= 26 / 2 =13[/tex]

So now that we know the radius is 13 units, we can eliminate answer choice(s) # 2 and # 4. That leaves us with the first and third answer choices. The center being (5,12) is not likely, as most of the circle lies in the 2nd quadrant. That is presumably why (- 3,17) is more predictable. Our answer is the third option.

what is the absolute value to |x|=8

Answers

Answer:

x = 8 or x = -8

Step-by-step explanation:

Answer:

absolute value will always be positive

the answer is x=8

Which of the following statements is true for 6.24 repeated? Question 16 options: A) It's rational because 6. = 68∕33. B) It's irrational because 6. = 66∕25. C) It's rational because 6. = 66∕25. D) It's irrational because 6. = 68∕33.

Answers

Answer:

its a.)

Step-by-step explanation:

Will give brainliest! Probability

Answers

Answer:

1/49

Step-by-step explanation:

You wrote the problem correctly.  You just needed to multiply instead of add.

1/7*1/7=1/49

So the answer is 1/49.

Answer:

1/49

Step-by-step explanation:

1/7 times 1/7 = 1/49

Sophia earns $5 in allowance each week for doing her assigned chores. She earns an additional $0.50 for each extra chore that she does in a week. The graph shows the average amount of money she earns each week per additional chore. How can the horizontal asymptote be interpreted in this scenario?

Answers

Answer:

The answer is A. The horizontal asymptote is y=0.50 because as Sophia does more and more extra chores, the average amount of money she earns can never be equal or less than $0.50 per extra chores.

Step-by-step explanation:

What do ratio and rate have in common

Answers

Answer:

Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, where for a ratio compares two numbers with the same unit.

The diameter is 14 feet. What is the area of the garden. Use 3.14

Answers

Answer:

153.93804

Step-by-step explanation:

Area = π[tex]r^2[/tex]

r = [tex]\frac{d}{2}[/tex]

Area = π[tex]*7^2[/tex] = 153.938040026

Answer:

153.86

Step-by-step explanation:

This is the answer because you have to use the formula

1. What do you have?

Formula: A = pi*r^2

Parts of Formula:

pi = 3.14

r = d/2

d = diameter = 14

r = radius = 7

2. Make Use of What you have

Make an equation:

pi * r^2

3.14 * 7^2 = A

3. Solve

3.14 * 7^2

= 3.14 * 49

= 153.86

SO the answer is 153.86

Hope this helped,

Kavitha


Kevin was in a submarine 50 feet below sea level he dropped down 36 feet. How low is Kevin's submarine?​

Answers

Answer:

The answer is 86 feet

Step-by-step explanation:

50+36=86

Hope this helps! (づ ̄3 ̄)づ╭❤~

Answer:

14 feet

Step-by-step explanation:

The question asked was HOW LOW?

So you have to subtract it..

50 - 36=

14 feet.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Which names are other ways to name angle 1?

Answers

angel pfy and angle yfp

What is 120% of 2,000

Answers

Answer:

2400

Step-by-step explanation:

120%×2000 =

= 120×2000/100

= 240000/100

= 2400

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{2400}}}}[/tex]

Step-by-step explanation:

[tex] \sf{120\% \: of \: 2000}[/tex]

Convert the percent into a fraction

To convert the percent into a fraction , divide it by 100 and remove the % symbol.

[tex] \sf{ \frac{120}{100} \times 2000}[/tex]

Calculate

[tex] \sf{2400}[/tex]

Hope I helped!

Best regards!!

Writing and Solving an Equation to Find Negative Integers Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers

Answers

Answer:

-23

Step-by-step explanation:

Let first negative integer = x

The second = x +5

Their product = 126, hence,

x * (x +5) = 126

x^2 + 5x = 126

x^2 + 5x - 126 = 0

Two numbers whose product gives - 126 and sun gives 5

x(x + 14) - 9(x+14) =0

(x - 9) = 0 or (x + 14) = 0

x = 9 or x = - 14

Since x is said to be a negative integer,, the our x = - 14

First integer = - 14

Second integer = (x + 5) = (-14 + 5) = - 9

Sum of both integers :

-14 + - 9 = - 23

Answer:

-23

Step-by-step explanation:

Doing it on EDG right now!

Can confirm that the person above me is correct!

Wish you all luck :)

3x-6y=18 slope intercept form

Answers

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Start by writing the equation out as it is given in the question (in this case, in standard form).

[tex]3x-6y=18[/tex]

Next, subtract [tex]3x[/tex] from both sides.

[tex]3x-3x-6y=18-3x\\-6y=18-3x[/tex]

Switch around the [tex]18[/tex] and the [tex]-3x[/tex].

[tex]-6y=-3x+18[/tex]

Finally, divide the equation by [tex]-6[/tex] to get rid of the [tex]y-variable[/tex] coefficient, which is [tex]-6[/tex].

[tex]\frac{-6y}{6}=\frac{-3x+18}{-6}\\y=\frac{1}{2}x-3[/tex]

As shown in that last step, the equation is slope intercept form is: [tex]y=\frac{1}{2}x-3[/tex]

Answer:

y = 1/2x - 3.

Step-by-step explanation:

3x - 6y = 18

-6y = -3x + 18

Divide through by -6:

y = 1/2x - 3.

What is 50% of 80? part percent

Answers

Answer:

40

Step-by-step explanation:

10% = 80 ÷ 10 = 8

50% = 8 x 5 = 40

Hope this helps!

Answer:

40

Explanation:

50% = 80 ÷ 2 = 40

Hope this helps!

Other Questions
Evaluate the expression shown below and write your answer as a fraction in simplest form. 3 1. 2 3 Imagine that you, your family, and a few of your friends must live in the midst of thiswilderness. You must find a way to get food from the land, set up shelter, and organizeyourselves into a semblance of society. Describe your day in a well-written, detailedparagraph. Where do you sleep? How do you get food or what kind of foods do you think are available? What are your responsibilities (gender roles)? Are you close to yourcommunity? What kind of food dodo you eat?Then in the next paragraph, compare and contrast the differentces to how you live today. Local nationals are expatriates from their own countries working for a foreign company in another country.a. Trueb. False Hobbes is arguing that...some people are obviously stronger and smarter thanothers.Bthe wiser people are, the better they are than theirpeers.people with more experience are wiser than theirpeers.Dpeople are all basically mentally and physically equal. Using cross multiplication, which of the following is the solution to 7/3x = 2/(x+5)? The lac operon - TRUE or FALSE: Group of answer choices Before the induction of the lac operon, lactose transporters are completely absent from the cell membrane. 5. Say the following are deductions on a typical income, i. Pension deductions are 5% ii. Emploment Insurance deductions are 2.4% iii. And Income Tax deductions are as follows 1. For annual salaries, on the first $11,000, no income tax is paid, 2. On the first $11,000 to $25,000, 8% of the income is deducted, 3. On the first $25,000 to $50,000, 12% of the income is deducted, 4. On the first $50,000 to $100,000, 15% of the income is deducted, 5. And on the rest of the income, 20% of that income is deducted. Henry makes an annual gross salary of $70,000, what is his net salary? Historia de la comida: Think of the reading and choose the correct response. Cul de estos productos es de las Amricas? a) la tortilla de maz b) la berenjena c) el trigo 3. Which of the following equations does nothave a rational solution?(A) x*x= 2(B) x*x=1(C) x*x=0(D) x+x=0 A professor wants to divide the remaining 3 4 of the semester evenly into six different units. A. What fraction of the semester should be spent on each unit? B. The professor drops one unit. What fraction of the semester should be spent on each unit? Solve the triangle. Round your answers to the nearest tenth. A. mA=43, mB=55, a=16 B. mA=48, mB=50, a=23 C. mA=48, mB=50, a=26 D. mA=43, mB=55, a=20 A traditional story that explains a belief system, a natural phenomenon, or a world view of a group of people is called a. Regarding the tax treatment of payments to securities holders, it is true that _______________, while ____________________. Imagine that your friend broke his arm in motorbike accident and he /she is in hospital now. write a letter of sympathy to him and her wishing speedy recovery. If g(x) = 4x^2 - 16 were shifted 5 units to the right and 2 down, what would the new equation be? a2 3b3 + c2 + 2b3 c2 if a = 3, b = 2, and c = 3 Walking is not the most exciting form of exercise a person can take on for fitness. Yet it is low impact and requires no fancy equipment. That makes walking a simple activity for those new to exercise. Walking is less likely than other exercises to cause injury to leg tendons and muscles. All it requires is a good pair of sneakersno cables, stylish outfits, or weights required. Of course, a person could increase the benefit of a workout by adding weights or speed walking. Which of the following sentences comes closest to stating the main idea in this paragraph? Yet it is low impact and requires no fancy equipment. That makes walking a simple activity for those new to exercise. Walking is less likely than other exercises to cause injury to leg tendons and muscles. Of course, a person could increase the benefit of a workout by adding weights or speed walking. Calculate. (3 1/3 1 5/6 ) 2 1/7 1 1/3 2.4 What is 11/12 divided by 1/3? You would be more likely to help someone who appears to be hurt if you were by yourself than if you were surrounded by strangers. Which of the following is the probable explanation? A. Diffusion of responsibility B. Cognitive dissonance C. Group polarization D. Fundamental attribution error