A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 46 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean?

Answers

Answer 1

Answer:

0.4246

Step-by-step explanation:

Given data:

mean ( u ) = 15 inches

std ( б )= 6 inches

sample size( n ) = 46

ux = mean sample length

Determine the probability that x within 0.5 inch of the claimed population mean

ux = u = 15

бx = б/ √ 46 =  6 /√ 46 = 6 / 6.78 = 0.88

Hence the   P( 14.5 < x < 15.5 )

= P ( [14.5 - 15 / 0.88 ] < z < (15.5 - 15) / 0.88) )

= P ( -0.5682 < z <  0.5682 )

= P ( z < 0.5682 ) - P ( z < -0.5682 )

= 0.7123 - 0.2877  ( from Z table )

= 0.4246


Related Questions

What percentage is equivalent to 2/5

Answers

Answer:

40 percent.

Step-by-step explanation:

Two-fifths is the same as 4/10, which is the same as 40/100. Since percentages are a part of 100, 40/100 is 40 percent.

The correct percentage that is equivalent to 2/5 would be 40%.

Used the concept of percentage of a number which states that,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that the equivalent number is 2/5.

Let us assume that the percentage form of equivalent number = x

Hence, it can be written as,

x% = 2/5

x/100 = 2/5

Cross multiplying,

5x = 2 × 100

5x = 200

Divide 5 on both sides,

x = 200/5

x = 40

Therefore, 40% is equivalent to 2/5.

To learn more about the percent visit:

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HELP!!! ASAP!!! YOU WILL GET MARKED AS BRAINLIEST!!! You expand a rectangular garden so the perimeter is now twice the perimeter of the old garden. The expression 12w+16 represents the perimeter of the new garden, where w represents the width of the old garden.
a. Write an expression that represents the perimeter of the old garden.

b. Write an expression that represents the area of the old garden.

You'll get mark as brainlist

Answers

Answer:

A.6w+8

B. 42

Step-by-step explanation:

im assuming the 8 is the length, so 8L

sorry if thats not what you meant

What is the perimeter of a rectangle whose length is M cm and width is 2 cm​

Answers

Answer:

2m plus 4

Step-by-step explanation:

mx2=2m

2x2=4

2m plus 4 = 2m plus 4

My plus button isnt working sorry

The points N, O, P and Q all lie on the same line segment, in that order, such that the ratio of NO:OP: PQ is equal to 1:5:3. If NQ = 9, find OQ.

Answers

Answer:

8

Step-by-step explanation:

If the points N, O, P and Q all lie on the same line segment, in that order, such that the ratio of NO:OP: PQ is equal to 1:5:3, then;

NO + OP + PQ = 1+3+5 = 9

NQ = NO + OP + PQ = 9

Given

NQ = 9

OP + PQ = OQ

According to the ratio;

OP = 5

PQ = 3

Since OP + PQ = OQ

OQ = 5 + 3

OQ = 8

Hence the measure of OQ  is 8

Write the explicit formula for the given sequence.
9, 15, 21, 27, ...
I need this done asap

Answers

Answer:

an = 9+ 6(n-1)

or

an = 6n+3

Step-by-step explanation:

9+ what = 15

15-9 = 6

15+6 = 21

21+6 = 27

We are adding 6 each time  so the common difference is 6

The explicit formula for an arithmetic sequence is

an = a1+d(n-1)  where a1 is the first term and d is the common difference

an = 9+ 6(n-1)

an = 9+6n-6

an = 6n+3

Answer: 3(odd numbers)

Step-by-step explanation:

The following are product of odd numbers that are only multiplied by 3.

Kevin and Randy Muise have a jar containing 56 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $6.80. How many of each type
of coin do they have?

Answers

Answer:

36 nickels and 20 quarters

Step-by-step explanation:

36x5= 180

25x20=500

500+180=680=6.80

Answer:I won’t give you a full answer but I can explain it.

Step-by-step explanation: Our “goal” is $6.80 we have to figure out how many nickels and quarters are in it. First off, which is bigger? A quarter. Count as far as you can until you can’t go over 6.80. Now add the remaining numbers (the nickels) and you will have your answer. Make sure when your adding to count each quarter and nickel!

2(9n - 6) + 52 = 2(7 + 8).

Answers

N = -5/9
Decimal from is N = -0.555
The answer is -5/6.
In decimal the answer is 0.555555556.
:) hope it helps!

What is the distributive property of 27x52 (have to show work)

Answers

they dont have a distributive 27 is only made of 3s and 52 does not divide by any multiple of 3

Which equation is the slope-intercept form of the line that passes through (6. -11) and is parallel to the graph of y = -2/3x+ 12?
Α. Y=-2/3x-7
B. y=-2/3x-6
C. y= 2/3x-5
D.y= 2/3x-15

Answers

Answer:

the answer would be a. As it is the only on parallel that crosses (6,11).

Step-by-step explanation:

A ​$290 suit is marked down by ​20%. Find the sale price.

Answers

Answer:

$232

Step-by-step explanation:

Answer:

232

Step-by-step explanation:

What is 10x100000
Help please ;(​

Answers

Answer:

100000

Step-by-step explanation:

10x10=100

100x10=1000

1000x10=10000

10000x10=100000

Michael’s class 27 adults and 63 kids on their field trip. Emily’s class had 20 adults and 70 kids on their trip. Both Michael & Emily’s teachers split the class into groups, so that each group has 7 kids. Whose class had more adult chaperones per group?

Answers

Answer:

Michaels class

Step-by-step explanation:

63 kids and 70 kids One group gets 9 groups and the other gets 10. 27/9 is 3, whileas 20/10 is 2 so Michaels class had more. Hope this helps :D

Thirty-nine randomly selected students in a college took the stat final. The sample mean was 68.9 with standard deviation 8.3 . The 99% confidence interval estimate of the population mean is:

Answers

Answer:

(65.5775 , 72.2225)

Step-by-step explanation:

Confidence Interval is the range around sample mean, likely to consist the population parameter.

Formula =  x' + z (s / √n)

= 68.9 + 2.5 (8.3 / √39)

= 68.9 +  3.3225

(65.5775 , 72.2225)

Lisa and Judy read mystery novels. Judy has read three fewer than 5 times as many as Lisa. Judy has read seventeen mysteries. How many has Lisa read? a. 4 mysteries c. 3 mysteries b. 7 mysteries d. 9 mysteries

Answers

Answer:

a. 4 mysteries

Step-by-step explanation:

Let the number of books Lisa read be x.

5x-3 = 17

5x = 17 + 3

    = 20

x = 20 ÷ 5

x = 4

Wapi simplified an expression. His work is shown below

7(8.5-1.5)+ 8÷ 2
step 1 7(7) + 8 ÷ 2
step 2 49 + 8 ÷ 2
step 3 57 +2
step 4 28.5

In which step did Wapi make his first mistake?
➪ Step 1
➪ Step 2
➪ Step 3
➪ Step 4​

Answers

Step 3: in step 3 he needed to do 8 divided by 2 first because of order of operations, also he changed the division sign into an addition sign.

Answer:

Step 3

explanation:

I got it right on edge, hope it helps :]

answer to 1 and 2 pls!! will mark brainliest if u explain how u got it.

Answers

Answer:

ok so the answer to the first is 23. And how you get that is take 1 +7 and add them next you subtract 30 - 7 and get 23.

Step-by-step explanation:

The answer to 2 is 32. And how you get that is you can split 96 into 3 groops and when you do you will get 32 hope this helps.

Ethan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 7 sugar cookies and 7 oatmeal cookies.

What is the probability that Ethan reaches in the bag and randomly selects an oatmeal cookie from the bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie?

Answers

Answer:7/25 × 5/24

Step-by-step explanation:

7 oatmeal 25 all together

Then 5 peanut butter 24 left since he ate one

The probability of randomly selecting an oatmeal cookie first is approximately 7/25, and the probability of selecting a peanut butter cookie second is approximately 5/24.

Use the concept of probability defined as:

Probability is defined as the ratio of the total number of favorable outcomes to the total number of outcomes.

Given that,

Ethan buys a bag of cookies.

The bag contains different types of cookies:

chocolate chip, peanut butter, sugar, and oatmeal.

The quantities of each type of cookie in the bag are:

6 chocolate chip cookies

5 peanut butter cookies

7 sugar cookies

7 oatmeal cookies

To calculate the probability,

To determine the total number of cookies in the bag and the number of oatmeal cookies and peanut butter cookies.

In this case,

Ethan has a total of,

6 + 5 + 7 + 7 = 25

So there is 25 cookies in the bag.

Since there are 7 oatmeal cookies in the bag.

So, the probability of randomly selecting an oatmeal cookie first = 7/25,

After eating the oatmeal cookie,

There are now 24 cookies left in the bag, with 5 peanut butter cookies remaining.

Therefore,

The probability of randomly selecting a peanut butter cookie second is 5/24

Learn more about the probability visit:

https://brainly.com/question/13604758

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A college radio station sponsors a contest once a week. One resident from a dormitory calls in and tries to answer ten questions correctly. Each correct answer earns the dorm $50, but each incorrect answer reduces the winnings by $25. Last week’s contestant earned $350. How many answers were correct?​

Answers

Answer:

There were 8 correct answers and 2 incorrect answers.

Step-by-step explanation:

The contest consists of paying $50 for each correctly answered question and subtracting $25 for each incorrectly answered question.

Let's call:

x = Number of correct answers

y = Number of incorrect answers

The resident from a dormitory answered 10 questions last week. This leads to the following condition:

[tex]x + y = 10\qquad\qquad [1][/tex]

Since each correct answer adds $50 and each incorrect answer subtracts $25, the weekly balance is

50x - 25y

The contestant earned $350, thus:

50x - 25y = 350

Dividing by 25:

2x - y = 14

Adding this equation with [1]:

x + 2x = 24

Simplifying:

3x = 24

x = 24 / 3

x = 8

From [1]:

y = 10 - x = 10 - 8

y = 2

There were 8 correct answers and 2 incorrect answers.

how do you know if the side is hyptenuse or a leg??

Answers

Answer:

The legs are the two sides that intersect to form the right angle and the hypotenuse is the side that is diagonal relative to those sides.

Answer:

  Use the Pythagorean Theorem to find the unknown side of a right triangle.

·         Solve application problems involving the Pythagorean Theorem.

Step-by-step explanation:

n divided by 8 is −32. equation first solution second

Answers

Answer:

n/8= -32

-256

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of a leg is 2x-4. The perimeter of the triangle is 32 . Find x.

Answers

Answer:

X=8

Step-by-step explanation:

2x-4+2x-4+x=32

5x-8=32

Add 8

5x=40

Divide by 5

X=8

If 6 bakers want to share a 45-pound bag of flour equally by weight, how many pounds of flour will each person get? Write an equation to solve and show your work.

Answers

Answer:

7.5 lbs

Step-by-step explanation:

We want to separate 45 pounds of flour by 6 people, which means we have to divide 45 by 6 to get 7 and 1/2 pounds or 7.5 lbs for each baker.

Answer:er./llllllll;tfph[n7j8ujhgedrsth5rdymu67igh8bn6[nmhylmnhhno9ooilhmny9yhju98y98079huj97

2634tu5yj

Step-by-step explanation:sfrnb kds 3i4huygr4vfb 4rf413qgweb31Y

Which description of a figure and its image match the transformation described by (x,y) → (2x, 2y + 1)?
The figure and its image are similar, but not congruent, and the image has been translated 1 unit up.
The figure and its image are similar, but not congruent, and the image has been translated 1 unit to the right.
The figure and its image are congruent and the image has been translated 1 unit up.
The figure and its image are congruent and the image has been translated 1 unit to the right.

Answers

Answer: The figure and its image are congruent and the image has been translated 1 unit to the right.

Step-by-step explanation:

What’s
3.984
+ 17
? Help

Answers

Answer:

20.984

Step-by-step explanation:

Just do:

3.984

+17.000

17 plus 3 equals 20 and .984 + 000 is .984

So your answer is 20.984

gus is making 48 ounces of spiced cider if he serves an equal amount to 7 people will each person git more than 1 cup of cider or less than 1 cup

Answers

Answer:

Each person will get less than one cup.

Step-by-step explanation:

48 ounces divided by 7 people would allow each person to receive 6.86 ounces. One cup is 8 ounces.

Answer:

i thought cider said spider hahaha

anyways...

Step-by-step explanation

each person gets one cup

9. One number is 3 more than twice a second number. Their sum is 27. What is the
larger number?

Answers

Answer:

15

Step-by-step explanation:

x+(x+3)=27

2x+3=27

x=12

12+3=15

Larger number is 15, Smaller number is 12

what is the sum of ? - (? × ?)= 90​

Answers

Answer:

B, because first of all, y = 4x + 6, so you could cross off A. It can't be C either because there are 4x, not 4y. And it can't be D because Y is also 6 more. If it was 6 more, 4x - y would be a negative number since y is more than 4x.

Step-by-step explanation:

If x < 0 and y < 0, where is the point (x, y) located?
A.quadrant 1
B.quadrant 2
C.quadrant 3
D.quadrant 4

Answers

Answer:

quadrant 4 (both x and y are negative)

Step-by-step explanation:

NO NO IT IS QUADRANT THREE
Both values are negative and in this graph it represents the correct quadrant in correspondence to the value.

its 47% kldkfifhnknskdib do sibk jmnbsinslknd

Answers

It is possible however we should be able to win the election and there is no disillusion on top of that one indeed

What is 13/2 as a percent

Answers

Answer:

650% percent

Step-by-step explanation:

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