Use technology or a z-distribution table to find the indicated area.

The masses of the eggs collected on a farm are normally distributed with a mean of 55 grams and a standard deviation of 4.2 grams.

Approximately 80% of the eggs on the farm have a mass greater than which mass?

51.5 g

54.1 g

55.8 g

58.5 g

Answers

Answer 1

Answer:

51.5g or A

I took a test with this question and got it right

Answer 2

Using the normal distribution, it is found that approximately 80% of the eggs on the farm have a mass greater than 51.5 g.

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.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 55, \sigma = 4.2[/tex].

Approximately 80% of the eggs on the farm have a mass greater than the 20th percentile, which is X when Z = -0.84, hence:

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

[tex]-0.84 = \frac{X - 55}{4.2}[/tex]

X - 55 = -0.84 x 4.2

X = 51.5 g.

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Related Questions

Math
On a grid, a middle school is located at ( − 5 , 3 ) , and a library is located at ( 2 , 3 ) . If 1 unit represents 1 mile on the grid, how far is the library from the middle school?

Answers

Answer:

14 miles

Step-by-step explanation:

there are 14 units in between point (-5,3) and (2,3), and since each unit is 1 mile it would be 14 miles.

if 2/3 x - 1=4, then x =?

Answers

x = 7.5
or
x = 7 1/2

help ill give brainiest <3 dont guess

Answers

Answer:

rectangular prism, 6 faces, 8 vertices

Answer:

The figure is a rectangular prism with 6 faces, moreover, it has 8 vertices.

Help me pleaseeeeeeeee!!!

Answers

0.08/0.2 and 0.2/0.8 are not proportional.

What is proportionality?

A proportion is an equality of two ratios. We write proportions to help us establish equivalent ratios and solve for unknown quantities.

Given are two numbers, 0.08/0.2 and 0.2/0.8

Checking for if they are proportional or not,

0.08/0.2

Multiplying denominator and numerator by 100,

8/20 = 2/5

And,

0.2/0.8 = 1/4

Since, 0.08/0.2 ≠ 0.2/0.8

Hence, 0.08/0.2 and 0.2/0.8 are not proportional.

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Someone help plz make sure it’s right plz will mark brainiest

Answers

Answer:

Your answer is B, or the second one from the left

Answer: It would be the 2nd choice

Carmen uses 2/7 of a bag of flour to make 1/2 of a batch of her special homemade cookies. How many bags of flour does it take to make 3 batches of the cookies?

Answers

Answer:

12/7 or 1 5/7

Step-by-step explanation:

2/7=1/2, so 4/7=1. multiply 4 by three, since one times three equals three.

What does 4 mean in maths?

Answers

The meaning of the 4! ( factorial ) in mathematics is equal to                    ( 4 × 3 × 2 × 1 ).

As given in the question,

Given expression in mathematics is written as :

4! ( factorial )

In standard form meaning of the n! ( factorial ) is given by multiplication of all the terms in decreasing order till 1.

It is expressed as:

n! = n × ( n - 1 ) × ( n - 2 ) × ( n - 3 ) × ........× 3 × 2 × (n - (n - 1) ).

Apply this formula for 4! ( factorial ) we get,

4! ( factorial )

= 4 × ( 4 - 1 ) × ( 4 - 2 ) ×( 4 - 3)

= 4 × 3 × 2 × 1

= 12

Therefore, the meaning of 4! ( factorial ) in mathematics is given by

4 × 3 × 2 × 1 .

The above question is incomplete , the complete question is :

What does 4! ( factorial ) mean in mathematics?

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PLEASE HELP 10 POINTS

Answers

Answer:

9.75

Step-by-step explanation:

3/4 |1/3x+2| < 6

you can turn the < into a =

then subtract 3/4 from 6 which leaves you with 5.25. And since you know 2 will always be positive because it's in an absolute value bracket 5.25-2=3.25. Which leaves you with

|1/3x| = 3.25

then do 3.25/(1/3) which leaves you with 9.75

:)

3x + 2y = 5
x = 2y + 7

Answers

Answer:

I hope this helps you...

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How many times larger than 3 x 10^4 is to 15 x 10^8

Answers

Answer:

149970000

Step-by-step explanation:

1500000000-30000=149970000

Answer:

1499970000

Step-by-step explanation:

3 x 10^4 = 30,000

15 x 10^8 = 1500000000

1500000000 - 30,000 = 1499970000

`y=7/(1,000)-(9x)/8` whats the y incercept

Answers

Answer = 7/1000 because when you write the given equation in y=Mx + b form, it’s written as -9/8x + 7/1000 and b represents the y-intercept

Will give brainliest if right

O C. 65
O D. 50

Answers

Answer:

D

Step-by-step explanation:

istg if one of yall roasts my dirty calculator

What is a real value number?

Answers

Real value numbers are both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc are all real numbers.

What is a real number in mathematics?

The real number that consist of different types of numbers for example prime numbers, odd numbers, even numbers, rational numbers, whole numbers, etc. These numbers can be expressed in the form of figures.Any number that we can think except complex numbers is a real number.

How many types of real numbers?

Real numbers encompass three classifications of numbers.Whole numbers, rational numbers, and irrational numbers are all real numbers.Even counting and natural number are all real numbers.

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What is the explanation please help me

Answers

Answer:

Yes. If the first friend descended 0.11 mile (-0.11) and the second friend descended 0.12 mile (-0.12), then the second friend had to have caught up to the first friend knowing that the second friend descended at least 0.11 mile. Hope this helps :)

Step-by-step explanation:

What is the angle of turn clockwise from South East to North?

N

A 45°

B 135°

C 225°

D 315°

Answers

The angle of a turn clockwise from South East to North is Option B 135°.

When determining the angle of turn, it is important to consider the direction of rotation (in this case, clockwise) and the starting and ending points (in this case, South East to North).

If we imagine the compass as a clock, with North at the 12 o'clock position, South at the 6 o'clock position, East at the 3 o'clock position, and West at the 9 o'clock position. Then South East would be at the 4:30 position and the North would be at the 12 o'clock position. To rotate from 4:30 (South East) to 12 o'clock (North) in a clockwise direction, we would have to rotate 135 degrees. Thus, the angle of a turn clockwise from South East to North is 135 degrees.

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The Burj Khalifa building in Dubai, United Arab Emirates, is one of the tallest buildings in the world at 2,722 feet tall. An American football field is 360 feet in length. Approximately how many football fields tall is the Buri Khalifa building? Round to the nearest tenth.​

Answers

Answer:

7.5 which rounds to 8

Step-by-step explanation:

2,722 divided by 360 equals 7.56

check if needed <3

What is an inverse variation graph called?

Answers

The graph of the inverse variation equation is called a rectangular hyperbola.

A form of proportionality called inverse variation occurs when one number falls as the other rises or the other way around. This suggests that if one number rises while the other decreases, the magnitude or absolute value of the first quantity will decrease, resulting in a constant product. The constant of proportionality is another name for this item.

An inverse variation is a relationship between two variables in which the product is constant; as a result, while one of the variables changes, the other changes correspondingly to maintain the same value of the product. This connection has the form of a hyperbola.

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A pound of strawberries costs $3.28 and a pound of apples costs $4.63. What is the combined cost of 0.7 pound of strawberries and 1.4 pounds of apples

Answers

The combined cost of 0.7 pound of strawberries and 1.4 pounds of apples is $8.778.

What is called a pound?

The Latin word "poundus," which means "weight," is whence its name originates.

Any of the many weight and mass units. especially: a measurement that is commonly used by English-speaking peoples and equals 16 ounces (about 0.454 kilograms) see measurement. the United Kingdom's fundamental monetary unit. known also as the pound sterling.

Given that A pound of strawberries costs $3.28

and a pound of apples costs $4.63

So the combined cost of 0.7 pound of strawberries and 1.4 pounds of apples is

cost = $3.28(0.7) + $1.4(4.63)

cost = $2.296 + $6.482

cost = $8.778

Therefore, the answer is $8.778.

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Please help me due in 1 hour, i'll give 5 stars and lots of points.
this table shows how many males and females attended two different movies.

Answers

The answer is D. Divide 124 (the number of males that attended drama movies) by 275 (the total number of males and females that attended a drama movie) to find the frequency of being a male and watching a drama movie.

Answer:

B

Step-by-step explanation:

5. Maria writes the expression below.
21 + 3 + 6 + 9 − 3
Which expression could be shown to be equivalent to Maria's expression based on the commutative property of addition?

Answers

Answer:

35+1

Step-by-step explanation:

They both equal 36 according to the commutatative property of addition.

Mr.martland decides the length of his square vegetable garden will be 17 ft. He calculates that the area of the garden is 34 ft^2. is he correct?

Answers

Answer:

Nope

Step-by-step explanation:

If it is a square garden, all sides are equal. Area would be 17x17 and that would equal [tex]289^{2} ft[/tex] not 34

Find the measure of the indicated angle. Need help please.
I need explanation too
PLEASE NO LINKS I WILL REPORT YOU

Answers

Answer:

AC=35

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin54=AC/43

AC=43sin54

AC=34.78≈35

The perimeter of a rectangle is 84cm and it's length is 6cm longer than it's breadth. Find the length and breadth of the rectangle

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangle is the sum of all its sides. Since the perimeter is given as 84 cm, we can set up the following equation to represent the problem:

2l + 2b = 84

Where l is the length of the rectangle and b is the breadth.

We are also told that the length is 6 cm longer than the breadth. We can represent this relationship with the equation:

l = b + 6

Substituting the second equation into the first equation, we get:

2(b + 6) + 2b = 84

Expanding the left side of the equation gives:

2b + 12 + 2b = 84

Combining as terms gives:

4b + 12 = 84

Subtracting 12 from both sides gives:

4b = 72

Dividing both sides by 4 gives:

b = 18

Substituting this value back into the equation l = b + 6 gives us:

l = 18 + 6

l = 24

Therefore, the length of the rectangle is 24 cm and the breadth is 18 cm.

What are the roots of the equation x² - 10x +34 = 0 in simplest
a + bi form?

Answers

The roots of the equation x^2 - 10x + 34 = 0 can be found by using the quadratic formula:

x = (10 +/- sqrt(10^2 - 4134)) / (2*1)

This simplifies to:

x = (10 +/- sqrt(100 - 136)) / 2

The square root of a negative number is equal to a complex number in the form a + bi, where a and b are real numbers and i is the square root of -1. Therefore, the roots of the equation x^2 - 10x + 34 = 0 are:

x = (-10 + sqrt(-36)) / 2 = (-5 + 3i) / 2 = -2.5 + 1.5i

x = (-10 - sqrt(-36)) / 2 = (-5 - 3i) / 2 = -2.5 - 1.5i

In simplest a + bi form, the roots of the equation are -2.5 + 1.5i and -2.5 - 1.5i.

A radioactive compound with mass 320 grams decays at a rate of 27% per hour. Which equation represents how many grams of the compound will remain after 7 hours?

Answers

Answer:

320 grams ÷ 27% = 8.3 grams

Step-by-step explanation:

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Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height h(t) at time t seconds after launch is h(t) = -16t2 + 80t. a. Find the vertex. Explain what this means in the context of the situation

Answers

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t.  We are asked to find the vertex.

X-coordinate of vertex =[tex]\frac{-b}{2a}[/tex]

Where 'a' is coefficient of [tex]t^{2}[/tex] term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex =[tex]\frac{-80}{2(-16)}[/tex]

                                =-2.5

y-coordinate of vertex =[tex]-16(-2.5)^{2} +80(-2.5)[/tex]

Simplify it,

            =-100 -200

           = -300

So, vertex is at (-2.5, -300).

10. What is the value of x?
A 47.5
0.50.5
2
D. 105

Answers

Answer:

A

Step-by-step explanation:

2x + 10 = 105

2x = 95

x = 47.5

Answer: A

Step-by-step explanation:

2x + 10 = 105

2x = 95

x = 47.5


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Write the expression as a single logarithm.


4logby + 3logbx

*Picture of Answers Below*

Answers

Answer:

A

Step-by-step explanation:

We first put in the coefficients of each log into the log using log laws

so 4 log b y would be log b y^4

3 log b x  would be log b x^3

we next use the addition log law

to find log b y^4 + log b x^3 = log b (y^4 * x^3)

and we are done now

the answer is A

if you found this helpful consider leaving a brainliest or a thanks

Answer:

[tex]log_{b} (y^{4} x^{3} )[/tex]

Step-by-step explanation:

Order these numbers from least to greatest.
6.1031, 6.203, 6.1, 6.23

Answers

Answer:

6.2300, 6.2030, 6.1031, 6.1000

Step-by-step explanation:

Answer:

6.1, 6.1031, 6.203, 6.23

Find the length and width of the actual room, shown in the scale drawing. Then find the area of the actual room. Round the final answer, if necessary, to the nearest tenth.

Answers

The actual dimensions are 9.75 feet and 7.5 feet. The area will be 73.125 square feet.

What is the scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).  The scale factor is defined as the proportion of the new image's size to that of the previous image.

Here the scale factor for the given image is 2 inch = 3 ft.

The measure of the actual dimensions will be calculated as,

2 in = 3 ft

1 in = 3/2 ft

6.5 in = 6.5 x 3 / 2 = 9.75 ft

5 in = 5 x 3 / 2 = 7.5 ft

The actual area will be calculated as,

Area = 9.75 x 7.5

Area = 73.125 square feet

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