A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has an
approximately Normal distribution, with a mean of 28.2 ounces and a standard deviation of 0.4 ounces. What
percentage of filled boxes of rice have a weight between 28 and 29 ounces?
Find the z-table here.
O 33.1%
O 36.7%
O 63.3%
66.9%

Answers

Answer 1

Answer:

D

Step-by-step explanation:

I got it right

Answer 2

Using the normal distribution, it is found that 66.9% of filled boxes of rice have a weight between 28 and 29 ounces.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by: [tex]\mu = 28.2, \sigma = 0.4[/tex].

The proportion of filled boxes of rice have a weight between 28 and 29 ounces is the p-value of Z when X = 29 subtracted by the p-value of Z when X = 28, hence:

X = 29:

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

[tex]Z = \frac{29 - 28.2}{0.4}[/tex]

Z = 2

Z = 2 has a p-value of 0.977.

X = 28:

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

[tex]Z = \frac{28 - 28.2}{0.4}[/tex]

Z = -0.5

Z = -0.5 has a p-value of 0.308.

0.977 - 0.308 = 0.669 = 66.9%.

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Related Questions

(+8) + (-2)

I need to understand this

Answers

Answer:

6

Step-by-step explanation:

(+8) + (-2): Okay so for this question you can just cancel the + in the middle and just do 8-2 which gives you 6, however this doesnt work for all questions so be careful

Please Help
Starr drives 495 miles in 9 hours. How many miles does Starr drive in 15 hours? 825 miles 975 miles 1,040 miles 1,375 miles

Answers

Answer:

825 miles

Step-by-step explanation:

Divide starting number by nine to get 55. Then multiply 55 by 15 to get 825 miles

Answer:

A 825

Step-by-step explanation:

david is drinking a sports drink that us 24 ounces. he drinks 3 ounces in 5 minutes what percentage of the sports drink will david have finished after 30 minutes

Answers

Answer:

18 ounces

Step-by-step explanation:

5 x 6= 30

3 x 6= 18

Is 8, 9, 14, 5 solutions to y ≤ 9?

Answers

Answer:

y ≤ 9 is saying that y is equal to anything 9 and below. Therefore, 9, 8, and 5 are correct answers since they are either equal to or less then 9. Although 14 is the only incorrect one.

14 is incorrect

Step-by-step explanation:

Point A is located in which quadrant? On a coordinate plane, point A is at (negative 3, 5). Quadrant I Quadrant II Quadrant III Quadrant IV

Answers

Point a is located in Quadrant 1

Answer:

quadrant 2

Step-by-step explanation:

Write 2.5896 X 10° in standard notation.

Answers

Answer:

2.5896

Explanation:

Zero power rule: The zero exponent rule states that any number raised to a power of zero equals one.

10^0 is 1, so nothing changes

If a windmill with radius 26 feet makes 12 full revolutions every 1 minute, what is its linear speed?

Answers

The linear speed of the windmill is 1,960.35 feet per minute.

Given data:

To calculate the linear speed of the windmill, determine the distance traveled by a point on the circumference of the windmill in 1 minute.

The circumference of a circle can be calculated using the formula:

Circumference = 2 * π * radius

Given that the radius of the windmill is 26 feet, the circumference is:

Circumference = 2 * π * 26

Now, the windmill makes 12 full revolutions every 1 minute. Since one revolution is equivalent to one circumference, the total distance traveled in 1 minute is:

Distance = 12 * Circumference

Substituting the value of the circumference:

Distance = 12 * (2 * π * 26)

Simplifying this expression:

Distance = 24 * π * 26

Therefore, the linear speed of the windmill is equal to the distance traveled divided by the time taken, which is 1 minute:

Linear speed = Distance / Time

Linear speed = 24 * π * 26 / 1

Calculating this value, the linear speed of the windmill:

Linear speed ≈ 1,960.35 feet per minute

Hence, the linear speed is 1,960.35 feet per minute.

To learn more about speed, refer:

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Encuentra la forma de la ecuacion de la recta que pasa por el punto P(-1,5) y que es perpendicular a la recta 2x + 3y - 8= 0

Answers

Responder:

2y-3x = 12

Explicación paso a paso:

La forma estándar de ecuación de una línea se expresa como;

y = mx + c

m es la pendiente

c es la intersección

Primero necesitamos la pendiente de la ecuación conocida;

Dada la ecuación 2x ​​+ 3y - 8 = 0

Vuelva a escribir en forma estándar;

2x + 3y = 8

3y = -2x + 8

y = -2x / 3 + 8/3

Por lo tanto, la pendiente de la línea dada es -2/3

Dado que la línea desconocida es perpendicular a la línea dada, el producto de sus pendientes será -1;

mM = -1

M = -1 (-2/3)

M = 3/2

La pendiente de la línea desconocida es 3/2

Obtener la intersección:

Sustituya m = 3/2 y el punto (-1, 5) en la expresión y = mx + cy obtenga c como se muestra;

5 = 3/2 (-1) + c

5 = -3/2 + c

c = 5 + 3/2

c = (10 + 3) / 2

c = 13/2

Obtenga la ecuación requerida;

Dado que y = mx + c

y = 3x / 2 + 13/2

multiplicar por 2;

2y = 3x + 12

2y-3x = 12

De ahí que la forma de la ecuación de la recta que pasa por el punto P (-1,5) y que es perpendicular a la recta 2x + 3y - 8 = 0 es 2y-3x = 12

Answer:

The answer is A, C, E

Step-by-step explanation:

I took the test

Miriam pays a service to deliver the chair to her house. Her bill is $24.75, and she tips the driver 20% of the cost of delivery. What is the total expense for the delivery?​

Answers

Answer:

29.7

Step-by-step explanation:

Alisha conducted an experiment in which a spinner landed on green 7 times. If the experimental probability of the spinner landing on green is 1 5 , how many trials did Alisha perform? 30 35 45 50

Answers

Answer:35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

just got it right on edge

17. 1,000 X n = 630
n =

Answers

Answer:

0.63 or 63/100

Step-by-step explanation:

Answer:

0.63

Step-by-step explanation:

For this you would want to do the reverse operation. So you see that it is multiplication? You would have to do division to get n by itself. When you divide 630 by 1,000 you would get 0.63.

How many millimetres are there in 3
cm​

Answers

Answer:

30 millimeters

Step-by-step explanation:

Every centimeter is 10 millimeters so 30 millimeters=3cm.

Hope this helps ;D

The answer is 30 millimeters

The chances of winning the Maryland lottery are one chance in twenty-two million. The probability would be considered an example of:_______

Answers

Answer:

Descriptive statistics

Step-by-step explanation:

The chances of winning the Maryland lottery are one chance in twenty-two million. The probability would be considered an example of Descriptive statistics

Descriptive statistics is referred to as the process of using a descriptive statistic. A descriptive statistic contains the quantitative summary from a sample data or information.The chances of winning the Maryland lottery are one chance in twenty-two million is an example.

Elena biked 8 miles on Saturday. Use the double number line to answer the questions. Be prepared to explain your reasoning. A) What is 100% of her Saturday distance? B) On Sunday, she biked 75% of her Saturday distance. How far was that? C) On Monday, she biked 125% of her Saturday distance. How far was that?

Answers

Answer:

A - Since Elena biked for 8 miles on Saturday, 100% of her distance traveled was 8 miles.

B - Now, on Sunday she traveled 75% of what she traveled on Saturday, which arises from the following calculation:

8 x 0.75 = X

6 = X

So on Sunday she traveled 6 miles.

C - Finally, on Monday she traveled 125% of what she traveled on Saturday, which arises from the following calculation:

8 x 1.25 = X

10 = X

So on Monday she traveled 10 miles.

Answer:

I agree with the one above me

Step-by-step explanation:

Which are the vertically opposite angles?

Which are the supplementary angles?

Which are the adjacent angles?

Answers

Angle P and Angle W are vertically opposite angles
Angle R and Angle Q are supplementary angles
Angle P and Angle S are adjacent angles

In ∆PQR,p:q:r=√3:1:1. Calculate the ratio p:q:r in its simplest form.

Answers

9514 1404 393

Answer:

  p : q : r = √3 : 1 : 1

Step-by-step explanation:

The ratio is already in simplest form. It cannot be expressed as the ratio of integers, because √3 is irrational.

X - 15 = 18

What is the value of x?

Answers

Answer:

x=33

Step-by-step explanation

2 step equation

add 15 to 18 because there's a minus in front of the 15

15+18=33

Answer:

X = 33

Step-by-step explanation:

bc 33 subtracted by 15 is 18

PLEASE HELP. ITS ALGEBRA

Answers

Answer: the y intercept is 330. the rate of change is -55. the domain is infinity since it is linear i'm pretty sure

Step-by-step explanation:

I ALSO NEED HELP ON ALGEBRA (you got the answer)

Plz help me i’ve been stuck on this one for a while

Answers

Answer:

the 2nd one

Step-by-step explanation:

Answer:

9/12 and 10/12

Step-by-step explanation:

LCM of 4 and 6 = 12Alter the numerators to fit the denominators as shown in steps 3 and 43 × 3 = 95 × 2 = 12Re-write the expression: 9/12 + 10/12

I hope this helps!

How many 2/3 size pieces in 4 whole

Answers

Answer:

64 cm2

Step-by-step explanation:

Answer:

6 pieces

Step-by-step explanation:

Number of pieces = 4 ÷ (2/3)

                              [tex]= 4 *\frac{3}{2}\\\\= 2 * 3\\ = 6[/tex]

plz help ill mark you brainliest

Answers

Answer:

cos 30= 0.1542

tan 48= 1.2001

sin 79= -0.4441

plz mark brainliest

A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?

Answers

Answer:

4 numbers

Step-by-step explanation:

Given

Five Digit Flippy Numbers

Required

Determine the number of these digits divisible by 15

Represent the format of this digits as: ABABA

A number is divisible by 15 if and only if it ends with 5 or 0

i.e.

[tex]ABABA = 0B0B0[/tex]

or

[tex]ABABA = 5B5B5[/tex]

The first format [tex]ABABA = 0B0B0[/tex] cannot be considered because the number starts with 0 which means that

[tex]ABABA = B0B0[/tex] ---- This is 4 digits not 5

Taking into consideration: 5B5B5

We know that 15 is a product of 5 and 3

i.e.

[tex]15 = 5 * 3[/tex]

5B5B5 is divisible by 5 because it ends with 5. So, for a number of this format to be divisible by 15, it must be divisible by 3

Numbers in this category are: 50505, 53535, 56565 and 59595

Hence, there are 4 five-digit flippy numbers divisible by 5.

what are 1 step equations

Answers

Answer:

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

Step-by-step explanation:

:D

if if you answer correctly ill give brainliest

Answers

20 I think but idk it I’m right I would wait for another answer

Which statements involving cosine and sine are true? Check all that apply.

sin(–45°) = –sin(45°)
sin(–45°) = sin(45°)
cos(–45°) = –cos(45°)
cos(–45°) = cos(45°)
cos(–45°) = sin(–45°)

Answers

Answer:

sin(–45°) = –sin(45°)

cos(–45°) = cos(45°)

Step-by-step explanation:

The statements which involving cosine and sine are true are sin(–45°) = –sin(45°) and cos(–45°) = cos(45°).

What are Trigonometric Ratios?

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

Trigonometric functions are also called as Circular functions.

There are five statements given.

We have the identities that,

sin (-x) = - sin(x) and

cos (-x) = cos x

Using this for each of the statement,

sin(–45°) = –sin(45°) is true.

sin(–45°) = sin(45°) is false

cos(–45°) = –cos(45°) is false

cos(–45°) = cos(45°) is true

For the last one,

cos(–45°) = cos (45°) = sin (45°) ≠ sin(–45°)

So this is false.

Hence the true statements are sin(–45°) = –sin(45°) and cos(–45°) = cos(45°).

Learn more about Trigonometric Ratios here :

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Halla las dimensiones de un rectángulo de 48 cm2 de área sabiendo que es 2 cm
más ancho que alto

Answers

Answer:Alto 16cm Ancho 32cm

A+2A=48

3A=48

/3

A=16

Step-by-step explanation:

help me asap lol
geometry class

Answers

Answer:

x is 35° more degrees than z

If rectangle ABCD was reflected over the Y axis reflected over the X axis and rotated 180° where would point A
lie

Answers

Answer:

The answer is (-4,1)

Step-by-step explanation:

Answer:

(-4,1)

Step-by-step explanation:

Factor -5 out of 10a-25

Please help with a step-by-step explanation!!

Answers

Answer:

-5(-2a + 5)

Step-by-step explanation:

10a - 25

-5(-2a + 5)

Answer:

-5(-2a+5)

Step-by-step explanation:

your dividing each number by -5, to get -5 factored.

10 / -5 = -2

-25 / -5 = 5

then you plug it back into the equation with the 5 being factored.

Diego is 165 cm tall andre is 1.7m tall how many centimeters tall is andre

Answers

Answer:

he is 170cm tall

Step-by-step explanation:

Answer:

Andre is 170 cm tall.

Step-by-step explanation:

There are 100 centimeters in a meter. To find the answer, we would multiply 1.7 by 100 to convert it to centimeters.

1.7 × 100 = 170

or

1.7 × 10² = 170

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