A snack company makes packages of grapes and honeydew slices. The weight of an individual package of
grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91
ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a
mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random
variables. Let D=G-H. What is the probability that a randomly selected package of grapes weighs more than a
randomly selected package of honeydew slices?
O 0.127
O 0.230
0.284
0.334

Answers

Answer 1

Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]

For the subtraction, we have that:

[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]

[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]

The probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]

[tex]Z = 0.57[/tex]

[tex]Z = 0.57[/tex] has a p-value of 0.7157.

1 - 0.715 = 0.284

0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

A similar problem is given at https://brainly.com/question/24663213


Related Questions

(HELP PLEASE 1!!!!!1!!) How can you tell if data is continuous or discrete

Answers

Answer:

Socratic app

Step-by-step explanation:

it will help you

The additive inverse of [tex]a-b[/tex] is:

A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]

Answers

Additive inverse refers to any number that when added to the original number gives the result as zero.

[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]

Solve using elimination.

–4x + 9y = –18
–x − y = –11

Answers

To do elimination, you need to get same coefficient before the variable
Multiply (-x-y = -11) by 4
-4x + 9y = -18
-4x - 4y = -44
Now subtract
13y = 26, y = 2
Plug in y = 2 for any of the two equation
-x - 2 = -11
-x = -9, x = 9

Solution: x = 9, y = 2

ROOM
Write an equation in function notation for each situation.
1. The admission fee to a local carnival is $8. Each ride costs
$1.50
2. Steven buys lettuce that costs $1.69/1b.
3. An amusement park charges a $6.00 parking fee plus $29.99
per person.
4. A math tutor charges $35 per hour
5. A fitness center charges a $100 initiation fee plus $40 per
month

Answers

Answer:f(x)=1.5-x + 8

Step-by-step explanation:

Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4

The solution is ____ ​(Type an exact answer in simplified​ form.)

Answers

Answer:

  (x, y, z) = (2, -4, 3)

Step-by-step explanation:

It is convenient to let an appropriate calculator reduce the augmented matrix to reduced row-echelon form. The rightmost column in that form is the solution vector [x, y, z].

__

If you want to solve this by hand, you can perform the following row operations to reduce the augmented matrix as shown in the attachment.

r1 ← r2 +r3; r2 ← (r2 +r3)/7 . . . . use this matrix for the next row replacement

r3 ← (r3 -r1 -4·r2)/11 . . . . . . . . . . use this matrix for the next row replacement

r1 ← r1 -2·r2 +5·r3

__

r1, r2, r3 refer to rows 1, 2, 3, respectively. The indicated multiplication and division are scalar operations, operating on each individual term in the row.

_____

Additional comment

Most graphing calculators have matrix solving functions. Apps are available for phone and tablet that will do this, and there are online websites that will reduce an augmented matrix as well.

5. What does the following addition equal?
3 and 7 eights + 6 and 5 eights

Answers

3 7/8 + 6 5/8 =

9 12/8 = 10 4/8

10 4/8 = 10 1/2

The answer is 10 1/2

If you are not looking for a mixed fraction it should be..

21/2

Hello. I am trying to figure out how to convert 17cm2 or cm squared to in2 (in squared)

Answers

Answer:

1 cm2 = 0.155 in2; 1 in2 = 6.4516 cm2

Step-by-step explanation:

Welcome, Brainlest Please?

Determine whether the inverse of F(x) is a function.

Answers

Yes it is a function because it passes the vertical line test.
It’s a function ! This is due to the fact is passed the vertical line test. Also remember, A function f has an inverse only when its graph is reflected about the line y = x

-6x + 30 < -18. Help pls

Answers

Hello, hope you are having a splendid day.

-6x+30<-18

First, move all the numbers to the right, using the opposite operation:

-6x<-18-30

-6x<-48

Divide both sides by -6:

x>8

Now, if we divide both sides by a negative variable, we change the inequlaity sign.

Hope it helps.

Ask me if you have any queries.

[tex]MagicalNature[/tex]

Good luck.

Answer:

[tex]\boxed{\boxed{\sf x>8}}[/tex]

Step-by-step explanation:

[tex]\sf -6x\:+\:30\:<\:-18[/tex]

Subtract 30 from both sides:

[tex]\sf -6x+30-30<-18-30[/tex][tex]\sf -6x<-48[/tex]

Multiply both sides by -1 :

[tex]\sf \left(-6x\right)\left(-1\right)>\left(-48\right)\left(-1\right)[/tex][tex]\sf 6x>48[/tex]

Divide both sides by 6:

[tex]\sf \cfrac{6x}{6}>\cfrac{48}{6}[/tex][tex]\sf x>8[/tex]

___________________________________

An electrician needs 1/2 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 1 1/2 rolls of wire?

I will give brainliest for answer and explanation ​

Answers

Answer: The number of rooms that can be wire with available rolls is 6 rooms Given as The quantity of roll of electrical wire does

Step-by-step explanation:

PLEASE HELP ME IN THIS, THIS ASSIGNMENT IS DUE IN 4 MINUTES, ITS A 6TH GRADER QUESTION

Answers

Answer:

3

Step-by-step explanation:

jesushhhh

The answer is three
.........

A desk is on sale for 15% off. The sale price is $612.
What is the regular price?

Answers

Answer:

$720

Step-by-step explanation:

Step 1: Set up the expression.

[tex]\frac{612}{1-0.15}[/tex]

Step 2: Simplify.

[tex]\frac{612}{0.85}[/tex]

Step 3: Convert 0.85 into a fraction.

[tex]612/ \frac{85}{100}[/tex] [tex]612/ \frac{17}{20}[/tex]

Step 4: Multiply 612 by reciprocal of 17/20.

[tex]612 * \frac{20}{17}[/tex] [tex]36 * 20[/tex] [tex]720[/tex]

Therefore, the regular price was $720.

Solve for x. x+12−−−−−√=x√+2

Answers

~equality

x + 12 = x√+2

= x + 12 = √2 x

= x = √2 x - 12

= x - √2 x = -12

= (1 - √2)x = -12

= x = -12/1- √2

= x = -(-12(1 + √2))

= x = -(-12 - 12√12)

= x = 12 + 122 ✔️

~ nice to help you ^^

you have 12 pets and 2 die every 1 and half years how many are left

Answers

Answer; 0 ,2?

Step-by-step explanation:

im not so sure tbh its a lil confusing dont they tell how many years its been?

If z varies directly as x and inversely as y and is equal to 4 when x and y have the values 12 and 8 respectively, what is the value of z when x is equal to 6/7 and y is equal to 5/28?

Answers

Answer:

[tex]z = \frac{2}{7} [/tex] when x= [tex] \frac{6}{7} [/tex],

z= 179.2 when y= [tex] \frac{5}{28} [/tex]

Step-by-step explanation:

Let's start by writing out the two general equations for z.

Since z varies directly with x,

z= kx, where k is a constant.

Since z varies inversely with y,

[tex]z = \frac{k}{y} [/tex], where k is a constant.

When x= 12, z= 4,

4= k(12)

12k= 4

k= 4 ÷12

k= ⅓

∴ z= ⅓x

When x=[tex] \frac{6}{7} [/tex],

[tex]z = \frac{1}{3} ( \frac{6}{7} )[/tex]

[tex]z = \frac{2}{7} [/tex]

When y= 8, z= 4,

[tex]4 = \frac{k}{8} [/tex]

k= 4(8)

k= 32

[tex]∴z = \frac{32}{y} [/tex]

When y= [tex] \frac{5}{28} [/tex],

[tex]z = 32 \div \frac{5}{28} [/tex]

[tex]z = 32 \times \frac{28}{5} [/tex]

z= 179.2

three-quarters the product of two numbers x and y

Answers

Answer:

xy=3/4

Step-by-step explanation:

since it says the "product"

it is x(y)

3/4 goes after the = sign

Nine more than the product of a number and 3 is equal to 6

Answers

Answer:

x = - 3

Step-by-step explanation:

9 more than the product of a number and three is equal 6.

9 +                                   (x · 3)                                = 6

9 + 3x = 6

3x = -9 + 6

3x = - 3

x = - 3

Answer:

3x + 9 =6

Step-by-step explanation:

Find the product using formula ...


formula = ( a + b ) ( a - b )


a) 1.2 × 2.8​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

[tex]1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36[/tex]

Answer:

3.36

Hope it helps.

Do comment if you have any query

How many sides does a polygon have if the sum of the measures of its interior angles is 4,140?​

Answers

Answer:

25

Step-by-step explanation:

180(s-2)=4140

180s-360=4140

add 360 to both sides

180s=4500

divide both sides by 180

s=25

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 1 unit right and 3 units up, what are the coordinates of A'?

Answers

Answer:

answeris: C.(-6,-9)➡(6-9)

7433654 round to the nearest thousand

Answers

Answer:

Already rounded to the nearest thousandth.

7433654.000

Simplify the expression.

6(12 – 3) + 4 + (3 × 2)

64
96
144
208

Answers

Answer:

64

Step-by-step explanation:

6(12-3) + 4 + (3×2)

6(9) + 4 + 6

54 + 4 + 6

= 64

3x-9=3



solve if you can

Answers

Finding the value of x,

→ 3x - 9 = 3

→ 3x = 3 + 9

→ x = 12/3

→ [ x = 4 ]

Thus, the value of x is 4.

What is the cost of 4 pounds of apples, if 3 pounds of apples cost $5.28 and the unit price for each pound of apples is the same?
HELP ASAP!

Answers

Answer:

$7.04

Step-by-step explanation:

We use proportions so if 3/$5.28 = 4/x. X being the price of 4 pounds. X works out to 7.039 with the 9 infinitely repeating. We round it up for cents and we get $7.04

Show all your working.
2
3
Income tax
Everyone can earn a certain amount of money without paying tax. This
is called a Personal Allowance. They must pay tax on any earnings
over this allowance.
4
5
6
£11 850
Income tax Personal Allowance, 2018/2019
7
8
This formula gives the amount of Income tax a person pays in a year
T = 0.2 (y-p)
9
10
where T = income tax for the year
y = money earned per year
p = Personal Allowance
11
12
13
14
15
A caterer earns £1375 per month.

Answers

Answer:

The gravitational force acting between the two bodies is given by:

F=G

r

2

m

1

m

2

G=

m

1

m

2

Fr

2

The dimension of the force is [MLT

−2

]

=

[M][M]

[MLT

−2

][L

2

]

=M

−1

L

3

T

−2

Solve for j.
19j–18j=12
j=

Answers

Answer:

12

Step-by-step explanation:

it should be 12 got it!

Hello, hope you are having a nice day.

Let's solve this equation for j. The first step is to combine like terms.

19j-18j=12

j=12

So j is 12. This is the answer.

Hope you find my answer helpful. Ask me if you have any questions.

~Just an emotional teenager who helps other people on Brainly

[tex]MagicalNature[/tex]

Good luck with your studies.

Help quick 20 points

Answers

Answer:

Step-by-step explanation:

1) isosceles triangle d = (180 - 110) / 2 = 35°

2) 2h + 3h + 4h = 180

    9h = 180

      h = 20

2h = 40°

3h = 60°

4h = 80°

PLS HELP ME

what party was against a strong central government, government promotion of trade and industry?

A: Federalist

B: Democrat-republicans

C: Whigs

D: Democrats

I need it now pls it's a k-12 test

Answers

Answer:

the answer is a federalist and your welcome

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

(3,1);m=4
(Write an equation in point slope form of the line that passes through the given point and has the given slope)

Answers

It should be y-1 = 4(x-3)

last month adhem ate 5 apples , 8 bananas , 7 Peaches , 10 oranges what the ratio of apples to the total of the fruit

Answers

Answer: 5:30

Step-by-step explanation: there are 5 apples and 30 total fruits.

Answer:

5:30 or simplified 1:6

Step-by-step explanation:

There are 30 fruits including the apples, and the apples only make up 5 of the fruits.

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