10. A certain strain of bacteria occurs in all raw milk. Tests of uncontaminated raw milk conducted by the Health Department found that the bacteria count per milliliter is normally distributed with a mean of 3500 and standard deviation of 300. a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk? b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400? c) For this normal distribution, what is the percentage of the area under the normal curve for a bacteria count per milliliter less than zero? As bacteria count cannot be less than 0, is this small enough to disregard when claiming that the bacteria count per milliliter is normally distributed? Explain your answer.

Answers

Answer 1

Answer:

a) 0.21078

b) 21.078%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean of 3500 and standard deviation of 300.

a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk?

For x = 3200

z = 3200 - 3500/300

z = -1

Probability value from Z-Table:

P(x = 3200) = 0.15866

For x = 3400

z = 3400 - 3500/300

z = -0.33333

Probability value from Z-Table:

P(x = 3400) = 0.36944

The probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk

P(x = 3400) - P(x = 3200)

= 0.36944 - 0.15866

= 0.21078

b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400?

We convert the answer in part a) to percentage

= 0.21078 × 100

= 21.078%


Related Questions

Plz can someone help me show work for these two problems!!

3x + y = 13

2x - y = -1

Answers

Answer:

3x +y = 13

Or, x=13-y/3......eqn(i)

Now putting the value of x

2x - y = - 1

Or, 2(13-y/3) - y = - 1

Or, 26 - 2y /3 - y = -1

Or, 26 - 2y - 3y = - 3

Or, 26 - 5y = - 3

Or, - 5y = - 3 - 26

Or,y = - 39/ (- 5)

Or, y = 7.8~

Which of the following is equivalent to 5x − 6y  =  8?

A. y = -5/6x
B. y = 6/5x + 2
C. y = 5/6x - 4/3
D. y = 8/11x​

Answers

Answer:

b

Step-by-step explanation:

Answer is B. Y=6/5+2

On a map, the coordinates (2,-1) and (4,8) pass through the coordinates (1,3) and (6,2). Are they perpendicular

Answers

Answer:

Step-by-step explanation:

Which expression represents the total number of pages Saul has read, where W represents the number of the weeks since he first started reading

Answers

Y = 50 + 65w
It would be the second response

Answer:

Y = 50 + 65w

Step-by-step explanation:


Please Help quick quick

Answers

Answer:

4

Step-by-step explanation:

Answer:

x=-5/3

x=-34/9

PRESSSSSSSSSSS CTRL W

:D

Answers

Answer:lol

Step-by-step explanation:

Answer
Watch All American on Netflix
Explanation

please help. i am desperate. will mark brainliest if work is shown. please.

Use your calculator to find the smallest solution to -5e^(-4x+2)+3=1/2log(x^2+1) and describe the steps you used. Round your answer to three decimals.

Answers

please dont count on me but 0.23856062736

What is the value of x?

Answers

Answer:

111

Step-by-step explanation:

You know the angle missing in the triangle is 69 (180-75-36). The angle on a line is 180. So 180-69=111.

OR

Add the two given angles to get 111 as 75+36+(180-x)=180 so if you subract (180-x) it leaves 75+36.

Find the equation of the line that passes through points A and B

Answers

The answer is y=2x-1
Find slope using formula
(Y2-y1)/(x2-x1)
The points: (4,7) , (2,3)
(3-7)/(2-4) = -4/-2 = 2
Y = 2x + b
Plug in a point to find b
7 = 8 + b, b = -1
Equation y = 2x - 1

Suppose you are constructing a LEGO Technic Land Rover Defender with a total of 2573 pieces. You have already put together 253 pieces. Every minute you add 5 more pieces. Is the relationship linear? How do you know?

Answers

Answer: Yes it is

Step-by-step explanation:

A linear relationship simply put, is a relationship between variables that when constructed, forms a straight line. This happens when y changes at a constant rate if x changes by a constant rate as well for instance, 1.

From this question, assume x is minutes and y is the total number of pieces put together. This means that every time x (minutes) increases by 1, y increases by 5 pieces.

The formula would look like this;

y = 5x + 253

This is a formula for a straight line so indeed, this relationship is linear.

6/5 divded by (-3/2)

Answers

Answer:

Step-by-step explanation:

6/5 ÷ -3/2 = 6/5 x -2/3

-12/15 = - 0.08

Answer:

− 4/5   or     −0.8

Step-by-step explanation:

What is 569 divided by 67.8

Answers

Answer: 8.39233038348

Step-by-step explanation:

Answer:

8.39233038348

Step-by-step explanation:

569/67.8=8.39233038348

The solution of the equation is x= .

Answers

The answer to your question would be X=1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Step 1:  Cross-Multiply

What cross multiply basically means is that you take both sides of the equation and you multiply my the opposite sides.  So you take the top of the left fraction and multiply it by the bottom of the right fraction.  You then have an equal sign and then have the bottom of the left fraction multiplied by the top of the right fraction.

[tex]\frac{2}{7}=\frac{6x}{4x+17}[/tex]

[tex]2(4x+17)=7(6x)[/tex]

Step 2:  Distribute

[tex]2(4x+17)=7(6x)[/tex]

[tex](2*4x)+(2*17)=(7*6x)[/tex]

[tex]8x+34=42x[/tex]

Step 3:  Subtract 8x from both sides

[tex]8x + 34- 8x = 42x - 8x[/tex]

[tex]34=34x[/tex]

Step 4:  Divide both sides by 34

[tex]34/34 = 34x/34[/tex]

[tex]1=x[/tex]

Answer:  [tex]x=1[/tex]

For a science class, David recorded the daily high temperatures for five days. His calculations showed that the mean and median temperatures for the five days were the same. Which set of data supports David's calculation?

1. (42°, 40°, 44°, 39°, 45°)

2. (42°, 39°, 38°, 44°, 46°)

3. (42°, 39°, 38°, 45°, 47°) ​

Answers

The correct answer is 1

Convert 0.067 km to mm

Answers

Answer:

67000

Step-by-step explanation:

just multiply by 1000000

can someone please please help me? with a reasoning? :(

Answers

Answer:

a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )

Step-by-step explanation:

a)

3x + y = -5

y = -3x -5

b)

y = 1/3 ( 21 - 9x)

y = -3x + 7

y = 3x + 2.5

the slop is to be same in the parallel lines. slop means m in ( y = mx + c )

so a) & b) are parallel lines. since their m is -3 .

1)
Which number is NOT in the solution set of x + 8 > 15?
A)
6
B)
8
C)
10
D)
12

Answers

Answer:

A) 6

Step-by-step explanation:

x + 8 > 15

x > 15 - 8

x > 7

8, 10, and 12 are all greater than 7. 6 is NOT

Answer: is A because 6+8=14 when the rest of the choices are bigger then 15

what is the solution to this??
4x + 12x =320
then using the solution to this do _x=_

Answers

Answer:

x=20

Step-by-step explanation:

Add like terms:

4x + 12x = 16x

16x = 320

320/16 = 20

9. Matt bought a new crate for his dog. The old crate was 8 square feet, and the new crate was 12 square feet. What is the percent increase in the space?

Answers

Solution:

It is given that :

Area of old crate = 8 square feet

Area of the new crate = 12 square feet

Therefore difference in the area = 12 - 8

                                                     = 4 square feet

Now the percentage increase in the area of the crate is given by :

[tex]$=\frac{\text{difference in the area of crate}}{\text{original area of crate}} \times 100$[/tex]

[tex]$=\frac{4}{8} \times 100$[/tex]

= 50%

So the percentage increase in space is 50%

PLEASE HELP ME IVE BEEN ASKING FOR AN HOUR PLEASE

Answers

Answer:

4

Step-by-step explanation:

Go up 1 and go right 3, repeat that pattern.

What is the domain and range please?

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

A large basket of fruit contains 3 oranges, 2 apples and 5 bananas. If a piece of fruit is chosen
at random, what is the probability of getting an orange or a banana? ​

Answers

A 5/10 chance of getting a banana. And a 3/7 chance for the orange

Answer:

8/10

Step-by-step explanation:

3+2+5=10 options in total. 3 oranges and 5 bananas means 3+5=8 --> 8/10 chance of picking an orange or banana

Find the greatest common factor (GCF) for each number set. 56,63
1. 1
2. 6
3. 7

Answers

The greatest common factor is 7 .

Find the solution for this system of equations:
y = -6x - 8
y = 46
O A) (24, -36)
OB) (36,-5)
OC) (46, -7)
OD) (-9. 46)

Answers

46=6x-8
+8 +8
54=6x
54/6=9
x=9

Work out the length x.
Х
7.5 cm
16 cm

Answers

Answer:

x = 17.7

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]7.5^{2} + 16^{2} = x^{2}[/tex]

[tex]56.25 + 256 = x^{2}[/tex]

[tex]312.25 = x^{2}[/tex]

[tex]\sqrt{312.25} = x[/tex]

[tex]17.7 = x[/tex]


(a) (sin A + sin B) (sin A-sin B)

Answers

Answer:

Sin^2A-sin^2B

Step-by-step explanation:

(sin A + sin B) (sin A-sin B)

=SinA(sinA-sinB)+SinB(sinA-sinB)

=Sin^2A-sinAsinB+sinBSinA-sin^2B

=Sin^2A-sin^2B

Find the equation if the line shown

Answers

Answer:

y=1/2x+9

Step-by-step explanation:

First find slope: (y2-y1)/(x2-x1)
Pick two points: (0,9), (1,7)
(7-9)/(1-0) = -2/1 = -2
Y = -2x + b
9 = 0 + b, b = 9
Slope intercept equation:
Y = -2x + 9

please help me!

Decrease £40 by 10%

Answers

Answer:

36

Step-by-step explanation:

40 * .10 = 4

40-4 = 36

I think it would be £36 but im not 10000% sure

Point B on the graph represents which phase of the business cycle?

A. Peak
B. Contraction
C. Trough
D. Expansion

Answers

Answer: trough

Step-by-step explanation: the study says this

Answer:

trough

Step-by-step explanation:

^

find reciprocal of 3/2 x 9/7

Answers

Answer:

[tex]\frac{14}{27}[/tex]

Step-by-step explanation:

[tex]\frac{3}{2}[/tex]×[tex]\frac{9}{7}[/tex] = [tex]\frac{27}{14}[/tex]

Reciprocal of [tex]\frac{27}{14}[/tex] = [tex]\frac{14}{27}[/tex]

For finding reciprocals of fractions, simply flip the numerators and denominators.

Answer:

14/27

Step-by-step explanation:

[tex](3 \div 2 \times 9 \div 7 )\\ 27 \div 14 \\ reciprocal = 14 \div 27[/tex]

Please mark as brainliest.

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