you have observed that the average size of a particular goldfish is 1.5 inches long. the standard deviation of the size of the goldfish is 0.25 inches. approximately what is the size of a goldfish such that only 16 percent of the goldfish are smaller from such size

Answers

Answer 1

Answer:

The 16 percent of the goldfish are smaller from 1.25 inches.

Step-by-step explanation:

Let X denote the size of a particular goldfish.

It is provided that the mean size is, μ = 1.5 inches and standard deviation of the size is, σ = 0.25 inches.

Assume that X is normally distributed.

Compute the size of a goldfish such that only 16 percent of the goldfish are smaller from such size as follows:

P (X < x) = 0.16

⇒ P (Z < z) = 0.16

The z-value for such a probability is:

z = -0.99

*Use a z-table.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-0.99=\frac{x-1.5}{0.25}\\\\x=1.5-(0.99\times 0.25)\\\\x=1.2525\\\\x\approx 1.25[/tex]

Thus, the 16 percent of the goldfish are smaller from 1.25 inches.


Related Questions

Solve for W.
A = 5W
Please help

Answers

Answer:

1/5a

Step-by-step explanation:

I hope this helps ...

Which statement best describes the formation of metamorphic rocks?

A. Magma cools and crystallizes slowly beneath Earth’s surface.
B. Liquid lava erupts from a volcano and cools quickly at Earth’s surface.
C. Sand and gravel are deposited at the mouth of a river and, over time, form layers that solidify into rock.
D. Ancient sandstone beaches become buried deep beneath Earth’s surface, where they are exposed to extreme heat and pressure.

Answers

Answer:

D

Step-by-step explanation:

Metamorphic rock is formed when rocks or minerals are subjected to high heat and high pressure, or a combination of these two factors. Answer D is the only answer that explicitly describes a rock or mineral being subject to these two things, so therefore D is the best answer.

the answer is D!

hope this helps you :))

Thunder is the sound caused by lightning. You hear thunder 5 seconds after a lightning strike. The speed of sound is about 1225 kilometers per hour. About how many miles away was the lightning?

Answers

Answer:

it is 1.05

Step-by-step explanation:

The lightning was 1.7 kilometer away.

What is speed?

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

The speed of sound = 1225 kilometers per hour

The speed of sound = 340.277 meter/second

Also, the time after thunder heard = 5 seconds

To find distance, use formula distance = speed × time,

Distance = 340.277 × 5

               = 1701.3 meter

               = 1.7 kilometer

The lightning was 1.7 kilometer away.

To know more on Speed on

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Please quickly answer this for me

Answers

Answer:

1 unlikely    2 unlikely    3 likely  4 impossible

Step-by-step explanation:

i am probably wrong

Please help 6x - 3y < 9

Answers

Answer:

y>2 x - 3

Step-by-step explanation:

I WILL MARK BRAINLIEST Write the equation of each line in slope-intercept form. Then graph the line. Show work.
1) Horizontal line through (2,3)
2) x-intercept 4, y-intercept -3

Answers

Answer:  1.)  y= 3

2.)  y = 3/4 x -3

Step-by-step explanation:

1. A horizontal line passes through the y-axis.and includes all x values.

2. use slope intercept form y = mx + b

To find the slope, m, take difference in y-values divided by difference in x-values.  b is the y-intercept , given in the question. -3

0 -(-3)/ 4-0 = 3/4 = m  

insert the values into the equation:

y = 3/4 x - 3

an angle which measures less than right angle is called ...... angle ​

Answers

Answer:

An angle which measures less than right angle is called Acute angle.

Answer:

Acute angle

Step-by-step explanation: Acute angles: measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

Someone help pls

by which rule are these triangles congruent?

Answers

b. because there are 2 angles so ASA
Its (b) because i did that quesion before and i got it right

Find all points of intersection between the graphs of the functions f(x) = (x + 5)(2-4) and
g(x) = x +5.

Answers

The answer is y=-2x-10

A local BBQ restaurants offers 2 side dishes with a lunch plate. There are 7 side dishes. How many choices of side dishes does a customer have

Answers

Step-by-step explanation:

This is a question that bothers combination. Combination has to do with selection.

When selecting r objects out of a pool of n objects, the number of ways this can be done is:

nCr = n!/(n-r)!r!

If a local BBQ restaurants offers 2 side dishes with a lunch plate, and there are 7 side dishes, the number of choices that the customer have is expressed as:

7C2 = 7!/(7-2)!2!

7C2 = 7!/(5)!2!

7C2 = 7*6*5!/5! * 2

7C2 = 7*6/2

7C2 = 42/2

7C2 = 21 choices

Hence the customer has 21 choices of side dishes to make

can someone help please. ​

Answers

Answer:

g(-4)=1

g(0)=-1

g(8)=1

g(-5)=2

helpppppppppppp please​

Answers

Answer:

1/27

Step-by-step explanation:

3 to the power of negative 3 is = to 1/3³ which is = to 1/27

find two possible factors for the estimate product​

Answers

Answer:

This is a rather simple question. Two possible factors for a product can be any 2 real numbers. This includes: 7,2  9,3  -9,1.

Step-by-step explanation:

8
According to the Red Cross, about 42% of Americans have Type A blood. Suppose 80
people show up at a typical blood drive.
What's the expected proportion of people who are Type A (p-hat)?

Answers

Answer:

33

hope this helped :)

PLEASEEEE HELPPPPP!!!!!!

Answers

Answer:

the answer is c. d=15t.

g Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probability that the sample proportion of baseball players will be greater than 43%

Answers

Answer: 0.1271

Step-by-step explanation:

Let p= probability of the students in a university are baseball players.

Given: p= 0.40 , sample size : n= 781

The probability that the sample proportion of baseball players will be greater than 43% will be:

[tex]P(p>0.43)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.43-0.41}{\sqrt{\dfrac{0.41(1-0.41)}{781}}}\\\\=P(Z>1.14)\ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(Z<1.14)\\\\=1- 0.8729=0.1271[/tex]

Hence, the probability that the sample proportion of baseball players will be greater than 43% = 0.1271

A large pizza at Mama Jane's costs $10 plus $1.25 per topping added. A large pizza at Planes costs $12.50 plus $0.75 per topping. How many toppings need to be added for pizzas from Mama Jane's and Planes to cost the same amount?

a. 2
b. 3
c. 4
d. 5

Answers

Answer:

it will  be a

Step-by-step explanation:

cuz if you add 1.25 to 10$ it would Be 11.25 then you add 1.25 to 11.25 it would Be 12.5

A bakery sells 3 muffins for every 5 pizza pies. The bakery sold a total of 24 muffins and pizza pies together. How many of each kind did the bakery sell?
6 muffins and 18 pizza pies

Answers

They sold 15 pizza pies and 9 muffins
15 pizza pies and 9 muffins

√2y-5+4=8 solve for y. What is the root, if there is no root, choose none.

8 1/2
10 1/2
5 1/2
none

Answers

y=21/2 will be ur answer
None is the answer if you solve for y in the equation you get 6.36 which matches none of the options given therefore the answer is none. Good Luck!

Amarah uses 4 2/5 pounds of meat to make five hamburgers. How much meat is used to make one
hamburger? ___ pound per burger

Answers

Answer:

8/25 Ib per burger.

Step-by-step explanation:

2/5 * 4 = 1.6

1.6 / 5 = 8/25

Can someone please help me with this question so i can i get my grades up: (2/9v)−(−1/3v+5/9)

Answers

Answer:

5v/9−5/9

Step-by-step explanation:

If its right can i plz have brainliest :)

I kitten is gaining 0.6 pounds per week. The kitten is currently 7 pounds after how many weeks will the kids be at least 10 pounds? Write an inequality to represent each situation. Do not solve the inequality. Defined the variable.

Answers

Answer:

about 6 weeks

Step-by-step explanation:

Will, an art student, randomly sampled oil paintings in a museum. He wanted to find out how many oil paintings in the museum contained the color ultramarine blue. The proportion of paintings that were created using the color ultramarine blue was 0.17, with a margin of error of 0.02. Construct a confidence interval for the proportion of oil paintings that contained ultramarine blue.

Answers

Answer:

The confidence interval is [tex]0.15 < p < 0.19[/tex]

Step-by-step explanation:

From the question we are told that

  The sample proportion is  [tex]\^ p = 0.17[/tex]

  The margin of error is [tex]E = 0.02[/tex]

Generally the confidence interval  for the proportion of oil paintings that contained ultramarine blue is mathematically represented as

       [tex]\^ p - E < p < \^ p + E[/tex]

=>   [tex]0.17 - 0.02 < p < 0.17 + 0.02[/tex]

=>   [tex]0.15 < p < 0.19[/tex]

A carpenter is building a rectangular room with a fixed perimeter of 180 ft. What are the dimensions of the largest room that can be built? What is its area?

Answers

Answer:

Answer: 45ft x 45ft

Step-by-step explanation:

we know that

Perimeter = 2(Length) + 2(Width)  

180 = 2L + 2W

90 = L + W

90 - L = W

Area = Length *Width

= L(90 - L) →  = 180L - L²

There are 2 different methods for solving (depending on which math course you are taking).

Calculus: find the derivative, set it equal to zero, and solve for L.

= 90L - L² → 0 = 90 - 2L → 2L = 90 → L = 45

Algebra: find the vertex.

= - L² + 90L → L = -b/2a → L = -90/2(-1) → L = 45

insert L it into the Perimeter equation to solve for W:

90 - L = W → 90 - 45 = W → W = 45

Answer: 45ft x 45ft

ILL GOVE BRAINLIST!!
A mysterious compound is made up of two elements: X and Y. If the mass
of X is 10 g, and the mass of Y is 2 g, find the mass ratio of X to Y. Type your
work/thought process into the answer field below, and give your final
answer in the next question. *

Answers

Answer:gove? Does that mean love

Grove or Love? Lol....

Graph y - 2 = -3/4 (x - 6)

Select two points on the line

Answers

Answer:

i dont understand the question can you write the rest of the question.

Step-by-step explanation:

n

Write 24/200 as a decimal.

Answers

Answer:

0.12 is your answer.

Step-by-step explanation:

i need brainlyest PLZ!!!!!!!

24/200 = 0.12 :) enjoy

Mr. Haynes orders carry out from Outback. The cost of his order is $82.37. If Mr.
Haynes would like to add a 10% tip, what will be the total cost of the carry out
order?

Answers

Answer:

I'm pretty sure its $90.61?

Step-by-step explanation:

10% of 82.37 is 8.237, and you add that to 82.37 and you'd get about 90.61.

Solve the following system of equations algebraically:
y=
y=
\,\,x^2+6x+7
x
2
+6x+7
y=
y=
\,\,-2x+7
−2x+7

Answers

Answer:

Step-by-step explanation:

Walk through examples of solving systems of equations with elimination. ... 2) Use elimination to solve the following system of equations. − 7 y − 4 x = 1 quad -7y-4x = 1 ... Systems of equations with elimination: 2x-y=14 & -6x+3y=-42 · Systems of ... (2 of 2) · Systems of equations number of solutions: y=3x+1 & 2y+4=6x.

Find three consecutive even integers if their sum, decreased by the third, equals -22.

Answers

-12,-10,-8

Three consecutive even integers:
x, x + 2, x + 4

x + x + 2 + x + 4 - (x + 4) = -22
2x + 2 = -22
2x = -24
x = -12

X = -12
X + 2 = -10
X + 4 = -8

As per linear equation, the required three consecutive even integers those have a sum of - 22 are -  8, -10, - 12.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line."

Let, three consecutive even integers are x, x+2, and x+4.

Therefore, sum of these three consecutive even integers is

= [x + (x + 2) + (x + 4)]

Given, the sum of the three consecutive even integers decreased by the third is  - 22.

Now, [x + (x + 2) + (x + 4)] - (x + 4) = - 22

⇒ x + (x + 2) = - 22

⇒ 2x + 2 = - 22

⇒ 2x = -24

⇒ x = - 12

Now, x + 2 = - 12 + 2 = - 10

Similarly, x + 4 = - 12 + 4 = - 8

Therefore, required three consecutive even integers with a sum of - 22 are - 8, - 10, - 12.

Learn more about a linear equation here: https://brainly.com/question/11897796

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