A particular fruit's weights are normally distributed, with a mean of 281 grams and a standard deviation of 33 grams. If you pick one fruit at random, what is the probability that it will weigh between 291 grams and 299 grams

Answers

Answer 1

Answer:

0.0882

Step-by-step explanation:

Given that:

Mean(m) = 281

Standard deviation (s) = 33

Probability of weight between 291 and 299 gram

Obtain the standardized score (Zscore):

P (X ≤ 291)

Zscore = (x - m) / s

Zscore = (291 - 281) / 33

Zscore = 10 / 33 = 0.303

P(Z ≤ 0.303) = 0.61906 (Z probability calculator)

P (X ≤ 299)

Zscore = (x - m) / s

Zscore = (299 - 281) / 33

Zscore = 18 / 33 = 0.5454

P(Z ≤ 0.5454) = 0.70726 (Z probability calculator)

Hence, probability of weight between 291 and 299 gram = 0.70726 - 0.61906 = 0.0882


Related Questions

If 9 is less than 3 times a certain number is 15 find the number. Please answer!!!!

Answers

Answer:

8 is the number

Step-by-step explanation:

3x8= 24

24-9 is 15

Write the equation of a line in point-slope form that is parallel to the line y=2x-5 and goes through the point (-1,4)

Answers

(y-4) = 2(X+1)

Step-by-step explanation:

Hey there!

The given eqaution is; y = 2x-5.......(i)

Now; As the eqaution is in the form of y= mx+b.

Slope(m1) = 2.

As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).

Therefore, m1= m2= 2

Now, use one point formula for finding the eqaution of the line which passes through the point.

(y-y1) = m2(x-x1)

~ Put all values.

(y-4) = 2(X+1)

You can simply write upto here. But it you want to make it simplified form then, (look below)

~ simplify it.

y = 2x +2+4

The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.

Hope it helps.....

Answer: y - 4  = 2(x + 1)

Step-by-step explanation:

The point slope form formula says that   y - b = m(x-a)  where  m is the slope,b is the y coordinate of a given point , and a  is the x coordinate of the same point.

Remember that parallel lines have the same slopes but different y-intercepts, meaning that  m will equal to 2  because the slope for the line y=2x-5 is 2.

m will be 2, b will be 4 , and  a will be -1.

      y - 4 = 2(x - (-1)     which reduces to  

   y - 4  = 2(x + 1)

In a car wash fundraiser, the money earned varies directly with the number
of cars washed. If four cars are washed, $14 is made.. Determine how much
money is made when 15 cars are washed.

Answers

if 15 cars were washed there would be $52.50

You decide to take your mom to a restaurant for her birthday lunch. Your bill came to $26.53. You need to leave a tip for your waitress who was exceptional in her service (so 18% tip is good!). What is the total of your bill with the tip? *

Answers

Answer:

$31.30 is the total bill

Step-by-step explanation:

if you multiply 26.53 by 18% you get 4.77. then when you add the 26.53 by 4.77 you would get $31.30. Your welcome (pls give brainliest)

Please help please help help
Help

Answers

The answer is c for a fact good luck

19 more than 9 times a number is less than or equal to 163. Which of the following represents the solution set of this problem?

Answers

Answer:

x ≤ 6

Step-by-step explanation:

Let the unknown number be x;

9 times the number is expressed as 9x

9 more than 9 times a number is expressed as 9x + 9

9 more than 9 times a number is less than or equal to 163 is then expressed as;

9x + 9≤ 63

≤ is the less than or equal to sign

Find the solution;

9x ≤ 63 - 9

9x≤54

x ≤ 54/9

x≤ 6

Hence the required solution is x ≤ 6

Which quadratic equation has roots - 2 and 1/5 :

Answers

Answer:

[tex]5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]

Step-by-step explanation:

[tex]sum \: of roots = - 2 + \frac{1}{5} = - \frac{8}{5} \\ product \: of \: roots = - 2 \times \frac{1}{5} = - \frac{2}{5} \\ from \: general \: equation \\ a {x}^{2} + bx + c = 0 \\ {x}^{2} + \frac{8}{5} x \: - \frac{2}{5} = 0 \\ 5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]

Please help me thank you!

Answers

The answer is “is not” because of the check step

PLEASE, PLEASE IM BEGGING YOU

Which of the following best defines an input? (4 points)

a
An input is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

b
An input is a special type of relation for which there is a rule that pairs each input with exactly one output.

c
An input is a set of ordered pairs in which no y-value repeats.

d
An input is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.

Answers

Answer:

d

Step-by-step explanation:

hope this helped!!!!!

Answer: d

An input is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.

Step-by-step explanation: Its d because the function has one output for each input so d is the correct answer.

I also saw the question on a different persons test in brainly and it was d.

Did you hear the story about the piece of butter?

Answers

Answer:

I believe once it saw the cast iron skillet's beauty, it melted.

Step-by-step explanation:

No clue just that was the first thing in me mind.

Ms. Van Tress has 134 students. She sees 38 students before lunch and 96 students after lunch.
What percentage of her students does she see before lunch? After lunch? (Round your answers to
the nearest whole number percent)

Answers

Answer:

[tex]\%Percent = 28\%[/tex] ---- Before Lunch

[tex]\%Percent = 72\%[/tex] --- After Lunch

Step-by-step explanation:

Given

[tex]Total = 134[/tex]

[tex]Before\ Lunch = 38[/tex]

[tex]After\ Lunch = 96[/tex]

Required

Determine the percentage of students seen in both cases.

This percentage is calculated by dividing the number of students seen by the total number of students. Then multiplied by 100%

i.e

[tex]\%Percent = \frac{Seen}{Total} * 100\%[/tex]

- Before Lunch;

[tex]\%Percent = \frac{Before\ Lunch}{Total} * 100\%[/tex]

[tex]\%Percent = \frac{38}{134} * 100\%[/tex]

[tex]\%Percent = \frac{3800\%}{134}[/tex]

[tex]\%Percent = 28\%[/tex] --- approximated

- After Lunch;

[tex]\%Percent = \frac{After\ Lunch}{Total} * 100\%[/tex]

[tex]\%Percent = \frac{96}{134} * 100\%[/tex]

[tex]\%Percent = \frac{9600\%}{134}[/tex]

[tex]\%Percent = 72\%[/tex] --- approximated

pls help me if you do geometry and really good at this

Answers

Answer: Line BC

123 = 62 + angle B
Angle B = 61

62 + 61 + angle C = 180
Angle C = 57

Since angle E has the largest degree, the line opposite of the largest degree angle would be the largest line which is line BC

A class has 11 seniors and 7 juniors. If two students are chosen at random, what is
the probability that the students chosen will be a senior and a junior?

Answers

Answer:

Seniors: 11/18

Juniors: 7/18

Step-by-step explanation:

11+7=18

If x=1/2 and y=3/2, find the values of i) xy÷(x+y) ii) x+y ÷ x-y

Answers

Answer:

i) 3/8

ii) -2

Step-by-step explanation:

i) 1/2*3/2/(1/2+3/2)

3/4/2

3/4*1/2

3/8.

ii) 1/2+3/2 / 1/3-3/2

2/-1

-2.

Hope this helps :)

A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line contains negative 2 labeled A, B, negative 1, C, 0, D, 1, E, 2 labeled F. Identify the location of each point on the number line. 0.5 is point . Negative one-half is point . –1.4 is point . 2 is point .

Answers

Answer:

ITS A B F ON EDGE GUYS THE PEOPLE IN COMMENTS RIGHT!!!!!1

Answer:

0.5 is point D

-1/2 is point C

-1.4 is point B

2 is point F

Step-by-step explanation:

Pls give brainliest!

If 500 ml of mineral oil are used to prepare a liter of mineral oil emulsion, how many grams of the oil, having a specific gravity of 0.87, would be used in the preparation of 1 gallon of the emulsion

Answers

Answer:

1646.5 g mineral oil

Step-by-step explanation:

i think thag the answer

What is the place value of the 3 in the number 6,370,524,891?​

Answers

ten crore is answer for India system

Step-by-step explanation:

hundred million is answer for international system


PLEASE HELP ASAP!!!

Which of the following statements have the same result? Explain each step in solving each one.
1. f(2) when f(x) = 4x + 2
II. (2) when f(x) = 2x-4/5
III. 2y + 11 = 3y + 1
10 points)

Answers

Answer:

1.)10  2.)0  3.)10

Step-by-step explanation:

1.) 4 (2) = 8 + 2 = 10

2.) 2(2) - 4/5 = 0

3.)2y + 11/-11 = +3y/-3y +1

2y - 3y = 1 - 11

-1y/-1 = -10/-1 = 10

please help!! which triangle is similar to ABC?
A. Triangle A
B. Triangle B
C. Neither
D. Both

Answers

Answer:

triangle A because the measurements would be the same. If you add 30 + 112, you get 150. Triangles add to 180, so the missing angle of the first one is 30.

this means triangle A has the same measurements as ABC

To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
the equation by which of the following numbers?
6, 10, 16, 30

6 or 10
16 or 30
30 only
6, 10, or 30

Answers

Answer:

6,10,or 30 is your answer

You and your family enjoy baking Christmas cookies together. Last year, you baked 120 cookies to pass out to friends and family. However, since you are unable to share cookies this year, you made 60% less cookies. How many total cookies did you make this year? First person to anwser correctly, gets brainleist!

Answers

Answer:

We can make 48 cookies.

Step-by-step explanation:

60 percent of 120 = 72

120 - 72 = 48

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Given: P is a point on the perpendicular bisector, I of MN.
Prove: PM = PN

Answers

Answer:

Step-by-step explanation:

I can't make specific statements about the proof because the midpoint is missing.

Givens

There are two right angles created by where the perpendicular bisector meats MN. Both are 90 degrees.

MN is bisected by the point on MN where the perpendicular meets MN

The Perpendicular Bisector is is common to both triangles.

Therefore the two triangles are congruent by SAS

PM = PN                Parts contained in Congruent triangles are congruent.

Andrew's fish tank measures
24 inches long, 10.5 inches
wide, and 13 inches high. What
is the volume of the fish tank?
MONS

Answers

15 volume of the fish tank

The perimeter of a triangle is 51 cm. The longest side is twice the length of the
shortest side. The third side is 3 cm longer than the shortest side. How long is each
side? Write an equation that represents the problem and then solve it.

Answers

Answer:

one is 12cm another is 24 and remaining is 15 cm

Apply the distributive property to factor out the greatest common factor. 90+27= equals

Answers

Answer:

1.

90+27

2.

90 = 9 x 10

3.

27 = 9 x 3

4.

So apply the distributive property would be:

90 + 27 = 9(10 + 3)

Step-by-step explanation:

Answer:

The greatest common factor of 90 and 27 is 9.

Using the distributive property , you could write: 9(10 + 3)

Write the equation of the line that passes through the points (-7,1) and (7,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y-1=-1/2(x+7)

Step-by-step explanation:

Find the slope first using the slope formula.

y2-y1/x2-x1

-6-1/7--7

-7/14

Slope is -1/2

Now choose one of the coordinates and put it in point-slope form.

y-1=-1/2(x+7)


Need help fast pls help

Answers

Answer:

b

Step-by-step explanation:

Which shows the result of a correct substitution for the system y=2x+3 and 3x+2y=9?

Answers

Answer:

The result of the correct substitution gives:

x = 3/7 and y = 27/7

Step-by-step explanation:

From the given information:

y = 2x + 3  ---- (1)

3x + 2y = 9 ---- (2)

By using substitutional method

Substitute the value of y = 2x +3 into equation (2)

So,

3x + 2(2x + 3) = 9

3x + 4x + 6 = 9

7x = 9 - 6

7x = 3

x = 3/7

From equation (1), let replace the value of  x  to be 3/7

So,

y = 2x + 3

y = 2(3/7) + 3

y =  6/7 + 3

y = 27/7

4) What is the correct unit for the following measurement?

Dana wants to know how much space her books occupy in her room.
cubic centimeters (cm3)
meters (m)
Celsius (°C)
gm/cm3
grams (g)
liters (L)

Answers

Meters is the correct answer

How can I show that 3sin^2 x-cos^2 x=2 can be written as 4sin^2 x=3?
no answer needed, just take the points.

Answers

Answer:

You said

Step-by-step explanation:

No answer needed just take the points yey

Answer:

8^8

Step-by-step explanation:

Thx

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