The weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb and a standard deviation of 2.9 lb. If 32 fish are randomly selected, what is the probability that the mean weight will be more than 10.9 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.

Answers

Answer 1

Answer:  5.94%

Step-by-step explanation:

Let X be the random variable that represents the weights of the fish.

Given: Weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb ([tex]\mu[/tex]) and a standard deviation of 2.9 lb ([tex]\sigma[/tex]).

sample size : n= 32

The probability that the mean weight will be more than 10.9 lb:

[tex]P(\overline{X}>10.9)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{10.9-10.1}{\dfrac{2.9}{\sqrt{32}}})\\\\=P(Z>1.56)\\\\=1-P(Z<1.56)\\\\=1- 0.9406\ \ [\text{By p-value table}]\\\\=0.0594=5.94\%[/tex]

Hence, the required probability = 5.94%.


Related Questions

(1). -4 – x=3x +6

(2). X – 4= -3x + 12

(3). -12 + 3x = -x + 8

(4). 3x – 10= -2x + 20

(5). -4 – x = 10- 3x

Answers

Answer:

2 over 5

Step-by-step explanation:

1.-4-x=3x+6

  6+4=3x+x

10=4x

Which number can divide 10 and 4 and that number is 2.

2 divided by 5.

Helppppp pleaseeeee

Answers

Answer:

3.75

Step-by-step explanation:

5 tables every 2 months,then 30 days (30 days in 1 month) / 8 ordes = 3.75

A student’s work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.

Answers

Answer:

the answer is B

Answer:

B

Step-by-step explanation:

[tex]\sqrt[4]{80} =\sqrt[4]{16 \cdot 5}[/tex]

[tex]\sqrt[4]{16 \cdot 5} =\sqrt[4]{16} \sqrt[4]{5} =2\sqrt[4]{5}[/tex]

The second line is incorrect as [tex]\sqrt[4]{16} =2[/tex]

What is the slope of the line graph

Answers

-2/6

we go down two and over 6

Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a freshman. Round your answer to the nearest thousandth.

Freshman Sophomore Junior Senior
Morning: 19 2 6 16
Afternoon: 17 3 13 15
Evening: 8 14 9 7
A. 0.105
B. 0.182
C. 0.386
D. 0.432

Answers

Answer: 0.432

Step-by-step explanation: I just took the test!

The probability that the student preferred morning classes given he or she is a freshman is 0.432. Option D. is the right choice.

What do we mean by the Probability of an event?

The probability of an event is the fractional value showing how likely an event is to occur. It is determined by the formula,

The probability of an event

= number of outcomes favorable to the event/total number of outcomes

How do we solve the given question?

We are asked about the probability that the student preferred morning classes given he or she is a freshman.

Total number of freshmen = 44 (in table)

Number of freshmen students who preferred morning classes = 19 (in table)

∴ The probability that the student preferred morning classes given he or she is a freshman = number of freshmen students who preferred morning classes/total number of freshmen = 19/44 ≈ 0.432

∴ The probability that the student preferred morning classes given he or she is a freshman is 0.432. Option D. is the right choice.

Learn more about the probability of an event at

https://brainly.com/question/7965468

#SPJ2

1. Approximate the value of

Answers

Answer:

[tex]\sqrt{3} =1.7\\\sqrt{3/48} =0.04\\\sqrt{48} =6.9\\\frac{\sqrt{3} }{\sqrt{48} } =0.25[/tex]

Step-by-step explanation:

I wasn't sure which one you were referring to

Jaylen made strawberry jam and raspberry jam. He made enough strawberry jam to fill 4 5/6 jars. If he made 5 times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill? Write your answer as a fraction or as a whole or mixed number.

Answers

Answer: 24 1/6

Step-by-step explanation:

From the question, we are informed that Jaylen made strawberry jam and raspberry jam and that he made enough strawberry jam to fill 4 5/6 jars.

We are further told that he made 5 times as much raspberry jam as strawberry jam, the number of jars that the raspberry jam will fill will be:

= 5 × 4 5/6

We would change 4 5/6 to improper fraction. This will be 29/6.

= 5 × 29/6

= 145/6

= 24 1/6

simplify the following ratio
18:24:30​

Answers

Answer:

3:4:5( by cancelling by 6)

Step-by-step explanation:

please mark me as brainlest

Answer:

3 : 4 : 5

Step-by-step explanation:

18 : 24 : 30 ( divide each part by 6 )

= 3 : 4 : 5

HELP ME PLSS ASAP
2. (03.01 LC)
Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14. (5 points)
-50
-5
2
8

Answers

It’s 2,
4(2)+6
8+6
14
I learnt this forever ago so I don’t remember how to explain it but I kinda just used the process of elimination

uestion Hel
The side lengths of a rectangular room are 9 ft and 40 ft. The room is going to be split in half along the hypotenuse of
a triangle using string. Find the length of the piece of string needed.
9 ft
40 ft

Answers

40ft hope this hellped ask again

Answer:

40ft hope I helped with your problem! Have a great day my comrade

4
Find the distance between A (3, 4) and B (15, 13).

Answers

Answer:

15

Step-by-step explanation:

use distance formula

Directions: Refer to the given figure below:
Write an equation to represent angle relationships to be able to
solve for the unknown measure of angle. Show your solution
correctly and neatly.
x
70°
(2x + 10)°
solve for x
RUBRICS:
Learning Task: Solves for the value of variable x, and finds the measu
of the unknown angle.

Answers

Answer:

if the angles are supposed to be equal then x = 30

2 × 30 = 60 + 10 = 70°

I will mark you brainliest

can someone pls tell me the answer i already tried the option 4 and it was wrong

Answers

Answer:

2 and 3\4

Step-by-step explanation:

hope that is right

Answer: 3
There are 4 tadpoles that are 3/4 inches long
The total length of this is: 3/4 x 4
3/4 x 4 = 12/4 = 3

One of these tadpole is 3/4 inches and it wants the length of all 4 of them together.
Hope this helps

Stephanie needs to buy birthday gifts for her family. She wants to stick to a budget of . $150.She buys a board game for her brother that costs,$49.50 a book for her sister that costs,$19.99 and a toy for her dog that costs.$15.00 She needs to buy a gift for her spouse, but she cannot decide between a watch that costs.$75.00 and a pair of shoes that costs. $59.99
Part A: How much has Stephanie spent on gifts so far?

Part B: How much does Stephanie have left to spend on gifts?

Part C: Which gift should Stephanie buy? Justify your answer.

Answers

part a: so far stephanie’s spent $84.49
part b: she has $65.51 left to spend
part c: stephanie should buy the shoes. it’s better for her to buy the shoes because she doesn’t have enough for the watch (costs $75) and the shoes are cheaper ($59.99).

Answer:

A. 84.50

B. She has 65.5$ left

C. Shoes

Step-by-step explanation:

A. If you add them it is 84.5

B. subtract 150 by 84.5 it is 65.5

C. Shoes because they are within the budget

Graph rhombus STUV with S(-6, 2), T(2, 8), U(10, 2), V(2, -4) and its image after a dilation of 1/2. What are the coordinates of V'?

(4, -8)


(4, 8)


(½, -2)


(1, -2)


(1, 1)

Answers

Answer: (1,-2)

Step-by-step explanation:

A rectangular prism is 15 inches long, 8 inches wide, and 6 inches high. What is the volume of a pyramid that has the same height as the prism.

Answers

Answer:

[tex]240 in^3[/tex]

Step-by-step explanation:

I'm assuming the pyramid base has to fit the prism, else the answer would be "as big as you want.

Now if you compare the formulas for the volume of a pyramid and a prism, you notice that the only difference is a factor of 1/3 (it will take 3 pyramids to fill a prism).

Volume of the prism is the product of the sides, ie [tex]15\cdot8\cdot6 = 720 in^3[/tex]. Volume of the pyramid will be 1/3rd of that, or [tex]240 in^3[/tex]

**Check my answer please!**

Solve for x
4/9(18x − 36) = −88

A) 6
B) 13
C) 17
D) 21
I got -9 I don't know what I did wrong tbh.

Answers

Answer:

b 13

Step-by-step explanation:

I think that's the answer but I'm not sure

i think the answer would be B (13). i plugged each of the numbers in and that’s the only one that got 88. i couldn’t find out where the negative comes from though. when i did it by distributing i also got -9 so idk

PLEASE HELP! I WILL MAKE YOU BRAINLIST

Answers

Answer:

A. y = 5x

Step-by-step explanation:

In order to find the answer, all you have to do is see the unit rate, which is the number of balls per minute, and if you look at the chart, it shows that for every 1 minute that passes, 5 balls are thrown, therefore, the answer would be:

y = 5x

Hope this helps :)

Answer:

y=5x

Step-by-step explanation:

y=5x

if you put the graph as a table :

x         y

1          5

2         10

3         15

4          20

constant is y/x=5/1=10/2=15/3=20/4=5

How are mass and volume related on this graph?
As the mass decreases the volume increases
There is no relation
As the volume increases the mass decreases
As the mass increases, the volume also increases

Answers

the answer is the last one: as the mass increases, the volume also increase
explanation: the line is going up and to the right and when u pick any point on the line it only gets higher from there and increasing is getting higher

The mass increases, the volume also increases.

What is proportionality?

A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other.

A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other. To make it clear let us consider we have two variables x and y where, y=2x. The variable that is made to alter or change is called the independent variable.

As, from the graph we can see that the the volume represented by x axis and the mass represented by y axis show a direct relation.

As, the volume increases horizontally then the mass increases vertically.

let us take the coordinate (5, 25), (10, 50), (20, 100)

from the above coordinate we can see that the coordinate for both x and y axis increases.

Hence,  mass increases, the volume also increases.

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ2

What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46? 12. 5 15. 5 16. 5 18. 5.

Answers

Answer:

z = 18.5

Step-by-step explanation:

2(4z − 6 − 6) = 170 − 46

2(4z - 12) = 124

8z - 24 = 124

8z = 148

z = 18.5

hey what's da ans?
3(9)+3(7)

Answers

Answer:

48

Step-by-step explanation:

Given the following question:

[tex]3(9)+3(7)[/tex]

To find the answer we need to remember when there is no operation between two numbers and the only thing that is separating them is a paratheses, we know to multiply the two numbers together.

[tex]3(9)+3(7)[/tex]
[tex]3\times9+3\times7[/tex]
[tex]3\times9=27[/tex]
[tex]3\times7=21[/tex]
[tex]27+21[/tex]
[tex]27+21=48[/tex]
[tex]=48[/tex]

Your answer is "48."

Hope this helps.

Answer:

48

Step-by-step explanation:

use PEMDAS

there is no Parenthesis

there is no exponets

there is multiplication

you can rewrite the question like this:

(3x9) + (3x7)

when you do the multiplication you will end up with 27+21. add them and you will get your answer of 48.

or

group the factors. since both of them have 3 in them you add the other quanities which is 9 and 7. you will now have 3(16). multiply it and you will get 48 as well

Find the perimeter of a rectangular block of land 3p metres long and 4Q metres wide

Answers

Answer:

86 is the correct answer

can someone help me please?

Answers

Answer:

9,10

Step-by-step explanation:

86 square root is 9.2

9 is less than 9.2

10 is bigger than 9.2

(( please help ))7x ( 5+ 8)=

Answers

it’s just 13 times 7 which is 91

Answer:

91

Step-by-step explanation:

7* ( 5+ 8)

Using PEMDAS

We do the parentheses first

7* ( 5+ 8)

7* 13

Then multiply

91

perimeter of an triangle

Answers

Answer:

hypotenuse + adjacent + opposite

Step-by-step explanation:

The three names of the sides on a triangle

Which of the following is a step in multiplying 3/4 by 3/5? 2 А Adding 3 and 3 B. Finding the lowest common denominator of 4 and 5 C Multiplying 3 and 3 D Multiplying 3 and 5​

Answers

Answer: C) Multiplying 3 and 3

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

Explanation:

When you multiply fractions, you multiply the numerators together. So in this case we multiply 3 and 3 getting 9 as the updated numerator.

We also multiply the denominators together. The updated denominator is 4*5 = 20.

Overall, (3/4)*(3/5) = (3*3)/(4*5) = 9/20

The fraction 9/20 cannot be reduced because 9 and 20 do not have any common factors other than 1.

We don't have to worry about getting the LCD (lowest common denominator) since that is only applicable for adding and subtracting fractions.

Choose the correct equation and answer to solve for x shown below

Answers

Answer:

it would be 3^2+4^2=x^2 and x=5

Step-by-step explanation:

3^2+4^2=c^2

9+16=c^2

25=c^2

c=5

A flying object is moving at 150 m/s. It makes a complete and final stop in 12 seconds. Calculate the object’s acceleration.

Answers

Answer:

-12.5 m/s²

Step-by-step explanation:

v (final velocity) = 0

u (intial velocity) = 150 m/s

t = 12s

a= v-u/t

a = 0 - 150 / 12

a = -12.5 m/s²

HEEEEEEEEELLLLLPPPPP
solve for x

Answers

Answer:

x = 20°

explanation:

∠6 = 45°, vertically opposite anglestwo angle inside opposite parallel lines, sum up to 180°

solve:

5x + 35 + 45 = 180°

5x + 80° = 180°

5x = 100°

x = 20°

Answer:
X = 20

Explanation:
45 degrees is congruent to angle 2 (angle 2 is 45 degrees)

Angle 2 and 5x + 35 are complementary angles (they equal 180 degrees)

45 + 5x + 35=180
80 +5x=180
5x=100
X=20

pease help me bro please

Answers

Answer:

the answer is 5

Step-by-step explanation:

if you see the y value is 8 so the x value is 5

Answer:

y=5

*f(x) is technically y but you inserted x as 8. So look for the y-point that connect when the line reaches 8 on the x-axis. Thus, leaving you with (8,5). x=8 and y=5

Other Questions
Selection 1 is a Modern Gothic story. Using your knowledge of the characteristics of this genre, you can most reasonably predict that Tom and Marthas recent bad luck will turn out to be the result of an elaborate practical joke.Tom and Marthas recent bad luck will turn out to be the result of an elaborate practical joke.Marthas suspicion that Gus is haunting them will be reinforced by further mysterious events.Marthas suspicion that Gus is haunting them will be reinforced by further mysterious events.Martha will go into therapy and successfully overcome her belief that Gus is haunting them.Martha will go into therapy and successfully overcome her belief that Gus is haunting them.Tom will pull himself together after he is offered a new job with a good future.Tom will pull himself together after he is offered a new job with a good future. The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 4 . The ratio (in the simplest form) of their volumes is 9. Why do you think that having the song, "The Beasts of England," was important to the animals? in the adjoining figure ABCD is a rhombus in which angle BAC is equal to 40 degree find angle ACB and angle abc and angle ADC and angle ACD and angle C A D Most of the Southwest region of the United States has a(n) ________ climate A. aridB. Mediterranean C. humid subtropical D. marine west coast How did the growth of trade change Roman society? When Thomas Jeffersonbecamethe third President of theUnited States, he reducedA. the number of new roads builtB. salaries for the President and VicePresidentC. military expenses and the number ofgovernment workers Write an exponential expression: choose an odd number between 0 and 10 to be the base and an even number between 0 and 10 to be the exponent.Label the base and the exponent.Then write the exponential expression in expanded form and standard form Five students from the 90 students in your class not running for classpresident will be selected to count the ballots for the vote for classpresident. In how many ways can the 5 students be selected?I The study of how humans affect the landscape and its resources is animportant part of:A. physical geography.B. Earth science.C. human geography.D. environmental geography.Mark as Brainiest 2. Given XYZ, if XY =YZ, and Y = 22,find Z. 15% of y is 30 what equation could be used to solve The power of an earthquake is expressed on a scale called(a) seismic scale(b) iron scale(c) richter scale(d) large scale Give TWO examples of osmosis taking place in Plants and explain the importance of EACH in the life of the plant.WILL BE MARKED BRAINLEST What is the school's mission or educational philosophy? A good newspaper article describes the scene of an event. Read this description of the scene of one of the debates. Use the information to answer the question. Which best describes the scene of the debate? empty crowded comfortable. please help me to solve these simple math Helpppp ASAPS i need your help i give brainlist to the correct answer only the question 2 and 3 How did people in the United States react when the country entered World War II?The nation was very slow to mobilize its armed forces. Many men and women were drafted into the US armed forces. Millions volunteered to serve in the US armed forces or were drafted to fight in the war. Factory workers labored around the clock to ensure that there was no shortage of supplies Students on the baseball team and in the French club were asked how many pets they have. The results are shown. Baseball Team: 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4 French Club: 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 6 Question What is the difference of the means of the two sets of data?