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 3 inches. A random sample of 41 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? (Round your answer to four decimal places.)

Answers

Answer 1

Answer:

0.5160

Step-by-step explanation:

Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

number of samples

From the information given,

µ = 15

σ = 4

n = 31

We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as

P(14.5 ≤ x ≤ 15.5)

For x = 14.5

z = (14.5 - 15)/(4/√31) = - 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.2420

For x = 15.5

z = (15.5 - 15)/(4/√31) = 0.7

Looking at the normal distribution table, the probability corresponding to the z score is 0.7580

Therefore,

P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160


Related Questions

At a salad bar, the cost per ounce is
$
0.85
, and the container costs
$
0.25
. Which function represents the total cost of a salad weighing
w
ounces, and what is the total cost,
C
, of a salad weighing
8
ounces?

Answers

Answer:

0.85 × 9.412=8.0002 nearest so 0.25 × 9.421= 2.35525

Step-by-step explanation:

Luke cut down a tree that was 27.6 feet tall. Then he cut the tree into 6 equal pieces to take it away. What is the length of each piece?​

Answers

Answer:

4.6 feet (explanation of division)

Answer:

The length of each piece is 4.6 feet

Step-by-step explanation:

the picture i need help with this answer. the problem is in the picture

Answers

Answer:

Step-by-step explanation:

pls pls pls help!! will mark brainliest

Answers

The last one y>-4


I hope this right

Plz actually answer cuz i need the answer for that grade upgrade

Answers

Answer:

The answer is I think the opened circled -> but I'm not 100% sure

Step-by-step explanation:

1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??


Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .

Answers

Answer:

[tex]to \: know \: the \: answer \: [/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Hope this helps you XD ✌️Carry on learning !!

(-8, -7); y = - 3x + 2
write an equation for The Line in slope Intercept form

Answers

Answer:

y=-3x^2+2x+201

Step-by-step explanation:

In a certain poultry farm,on average every 8 chickens lay 144 eggs per week.In five weeks the chickens laid 2880 eggs.How many chickens are in the farm? A.18. B.32. C.160. D576​

Answers

Answer:

C

Step-by-step explanation:

Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither

Answers

This is going to be geometric cause this doesn’t really follow a fixed sequence

The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.

Answers

it’s is even bc it doesn’t go through the origin

Answer:

even

Step-by-step explanation:

Which of the following choice completes the diagram?
A. Credit card companies
B. Issuer banks
C. Banks
D. All of the choices

Answers

Answer:

D. All if the choices , credit cars , banks and issuer banks

H.C.F of 378 and 567 and 252

Answers

Answer:

Their highest common factor is the number 9

What is the surface area? 10 mm
7 mm
4 mm

Answers

Answer:

Perhaps 270 mm^2, if it is a box.

Step-by-step explanation:

What shape is this?  A box?

If a box:

There are 6 faces:

1.   2 ends:  7mm x 4mm  = 28 mm^2/end

2.  2 sides:  10mm x 7mm  = 70 mm^2/side

3.   top and bottom:  10mm x 4 mm = 40 mm^2/each

====

Totals:

1.    56 mm^2

2.  140 mm^2

3.   80 mm^2

Total  270 mm^2

Yao bought 3 feet of blue ribbon and
24 inches of red ribbon. The ribbon costs
$2.00 per foot. What is the total cost of
the ribbon?

Answers

Answer:

It would've costed $8 to buy these ribbons.

Step-by-step explanation:

Given:

3 feet of blue ribbon = 36 inches of blue ribbons2 feet of red ribbon = 24 inches of red ribbons\1 foot of ribbon = $2

(3 + 2) x 2 = Total cost

=> (5) x 2

= $10

Therefore, it would've costed $10 to buy these ribbons.

Hoped this helped.

On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)

Answers

Answer:

The top one

Step-by-step explanation:

Hope it helps

Write the equation through (2,5) parallel to the line through (8,0) and (0,8)

Answers

Answer:

y = -x + 7

Step-by-step explanation:

As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run').  Thus, the slope of this line is m = rise/run = 8/(-8) = -1.

Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:

0 = -1(8) + b, or b = 8

Then the equation of the line through the two given points is y = -x + 8.  Any line parallel to this one has the same slope:  m = -1.

Repeat the above work to find the y-intercept of the line parallel to y = -x + 8  that goes through (2, 5):

5 = -2 + b, or b = 7

Then the desired line (final answer) is y = -x + 7

Solve the inequality: 4(2x-11) is less than equal to -12 + 2(x-4) No "files" please and also need an explanation

Answers

[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]

[tex]\text{Interval solution,} ~(-\infty, 4][/tex]

I need the answers and explanation to a b c and d

Answers

Answer:

B I THINK

Step-by-step explanation:

3. * + 6 = 10 (1 point)
5
044
30
O20
0-20

Answers

Step-by-step explanation:

I think its b.30 but I'm not sure

what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work

Answers

Answer:

7/16 of book

Step-by-step explanation:

1/8 book in 2 days means Lora reads 1/16 book every day

In 1 week (7 days), Lora reads 7 x 1/16 = 7/16

PLEASE FILL IN BLANK I WILL MARK AS BRAINLIEST

Let f(2)=32 and g(x) = ID.
Use the composition of functions to determine if f(x) and g(2) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
f(g(x)) =
()
9(f(x))
) =
The function f(x)
the inverse of g(x)

Answers

Answer:

[tex]\sqrt[3]{x}[/tex]

[tex]x^3[/tex]

is

Step-by-step explanation:

How many solutions does this equation have?

–2b − 9 = –b

Answers

Answer:

b= -3

b=3/2=1.500

Step-by-step explanation:

step 1 . b • (2b + 3) -  9  = 0

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   3 .

     -18    +    1    =    -17  

     -9    +    2    =    -7  

     -6    +    3    =    -3  

     -3    +    6    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  6  

                    2b2 - 3b + 6b - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   b • (2b-3)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2b-3)

Step-5 : Add up the four terms of step 4 :

                   (b+3)  •  (2b-3)

Solve for t. 3t - 18 = 4(-3-3/4t). t=

Answers

Answer:T=1

Step-by-step explanation:

Answer:

t = 1

Step-by-step explanation:

find the zeros of the function f(x) = (x+3)^2-4=0

Answers

Answer:

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Step-by-step explanation:

[tex]f(x)=(x+3)^2-4[/tex]

[tex]0=(x+3)^2-4[/tex]

[tex]0=(x^2+6x+9)-4[/tex]

[tex]0=x^2+6x+5[/tex]

[tex]0=(x+1)(x+5)[/tex]

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Answer:

[tex]x=-1,\:x=-5[/tex]

Step-by-step explanation:

Solve the equation:

[tex]f(x)=\left(x+3\right)^2-4=0[/tex]

[tex]\left(x+3\right)^2-4=0[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]\left(x+3\right)^2-4+4=0+4[/tex]

[tex]\left(x+3\right)^2=4[/tex]

[tex]x+3=\sqrt{4}:x=-1[/tex]

[tex]x+3=\sqrt{2^2}[/tex]

[tex]x+3=2[/tex]

[tex]x+3-3=2-3[/tex]

[tex]x=-1[/tex]

[tex]x+3=-\sqrt{4}:x=-5[/tex]

[tex]x+3=-\sqrt{4}[/tex]

[tex]x+3=-2[/tex]

[tex]x+3-3=-2-3[/tex]

[tex]x=-5[/tex]

Now, look at the points plotted on the graph:

Find the value of 3a^2+2b, If a=3 and b = 4.

An explanation would be great.

Answers

Answer:

=35

Step-by-step explanation:

3(3) ^2 + 2(4)

= 3(9) + 8

= 35

Where you see a, substitute with 3 and where you see b, substitute with 4

Just follow the steps above.

[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]

[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]

[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]

[tex]\\ \sf\Rrightarrow 27+8[/tex]

[tex]\\ \sf\Rrightarrow 35[/tex]

One oval weighs how much

Answers

Answer:

5.5

Step-by-step explanation:

11 divided by 2 is 5.5

Rachel baked a pie with an area of 94.985 square inches. She gave away a slice of pie with an area of 13.56 square inches. Find the central angle measure of the slice. Numerical answer round to the nearest degree.

Answers

It is 103.68 degrees :)

how many cubes each of 2 cm length can be kept inside of a cube of 6 CM length​

Answers

Answer:

Hence 27 cubes can be obtained.

Step-by-step explanation:

Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3

Volume of cube of side 6cm = 216cm^3

Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes

Which pairs of figures are congruent? Which pairs are similar?


Answers

Answer: Look at the explanation

Step-by-step explanation: To understand what figures are congruent and what figures are similar, you need to understand what the terms mean.

Congruent figures have the same shape and size.

Similar figures have the same shape but different size.

The 1st figure is not congruent but it is similar.

2nd figure is congruent and similar which are rectangles. Wheather the figure is rotated or reflected, it is still congruent and similar.

3rd figure is both, congruent and similar which are both triangles.

4th figure is neither. There is a circle and an elipse, which are both round but different shapes.

By knowing the terms congruent and similar, you should have no problem in identifying geometric shapes and sizes.

Hope this helps. Happy learning!

What is 3/7 + 4/18 estimated

Answers

Answer:

41/63

Step-by-step explanation:

41/63 can't be simplified

Answer:

3/7+4/18=41/63

Step-by-step explanation:

3/7=3x18/7x18=53/126

4/18=4x7/18x7=28/126

54/126+28)126=54+28/126=82/126

82/126

simplify

41/63

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