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

The weights of apples in a bin are normally distributed with a mean of 143 grams and a standard deviation of 4.2 grams.

Approximately 30% of the apples weigh less than which amount?

133 g

B.) 135 g

C.) 137 g

D.) 141 g

Answers

Answer 1

Answer:

I think it's answer D. (141).  :D

Step-by-step explanation:

Answer 2

30% of the apples weigh less than 141 grams.

What is z- distribution?

The z-distribution, also known as the standard normal distribution or the standard Gaussian distribution, is a probability distribution that is often used in statistics. It is a special case of the normal distribution with a mean of 0 and a standard deviation of 1.

First, we need to find the z-score corresponding to a cumulative probability of 0.30.

Using the z-distribution table, we find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52.

The z-score formula is given by:

z = (x - μ) / σ

Where:

z is the z-score

x is the value we want to find the corresponding z-score for

μ is the mean of the distribution

σ is the standard deviation of the distribution

Rearranging the formula to solve for x:

x = zσ + μ

x = -0.52 (4.2) + 143

x ≈ 140.94

Therefore, 30% of the apples weigh less than 141 grams.

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Related Questions

Determine perimeter

Answers

Answer:

20cm

Step-by-step explanation:

7.2 + 7.2 + 2.8 + 2.8 = 20

Each side of the rectangle is equal to the side opposite from it. That means you have 2 sides of 7.2 cm and 2 sides of 2.8 cm.

To find perimeter, you add all the sides. So that's 7.2 + 7.2 + 2.8 + 2.8, which is 20 cm altogether.

1. The sides of a triangle measure 6 inches, 10 inches, and 13 inches. What type of triangle is it?


A. right

B. scalene

C. isosceles

D. equilateral

Answers

Answer:

Step-by-step explanation:

Choice B which is right!!

Travis's purchasing an $225000 home with a 30 year mortgage at 5.15% because he is not making a down payment PMI in the amount of $84.50 a month is required for the 1st 2 years of the loan based on this information what is the total cost of his loan

Answers

Answer:

The total cost of the loan = $444,208.80¢

Step-by-step explanation:

Please kindly check the attached files for details

Answer: $444,309.60

Step-by-step explanation:

Please help! Please let me know if you need a better picture.

Answers

Answer:

(x, -y)

Step-by-step explanation:

Look at the coordinates of the point C before the transformation (-2, 2)

look at the coordinates of the point C after the transformation, (-2,-2)

What is the difference between these two points?

Well the x is the same, the y is just the negative version of itself!

Answer:i need a better pic

Step-by-step explanation:

Which graph shows the solution set of the inequality 29(x+8) < 26.19
10
HELLLLP

Answers

Answer:

[tex]29\left(x+8\right)<26.19\\[/tex]

[tex]\frac{29\left(x+8\right)}{29}<\frac{26.19}{29}\\x+8<0.90310\dots \\x<-7.09689\dots[/tex]

I can't draw the graph but the notation is: [tex]x\in\mathbb{R}|x<-7.09689\dots[/tex]

x equals to all the region in the left from -7.09689...

Use the properties of exponents to solve for each variable.
4^8•4^2=4a
(2^4)^5=2^b
5^6/5^2=5^c
a=
b=
c=

Answers

Answer:

[tex] {4}^{8} {4}^{2} = {4}^{10} [/tex]

[tex]( { {2}^{4} )}^{5} = {2}^{20} [/tex]

[tex] \frac{ {5}^{6} }{ {5}^{2} } = {5}^{4} [/tex]

a = 10, b = 20, c = 4




A certain lottery consists of selecting five different numbered balls from numbered 1 to 15 white balls and one from 1 to 14 gold Mega balls. A player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 15​) and matching the number on the gold Mega Ball​ (1 through 14​). What is the probability of winning the​ jackpot?

Answers

Answer:

1/42,042 or 2.38×10^-5

Step-by-step explanation:

Please kindly check the attached files for explanation

Factor completely. x^4 - 9.

Answers

Answer:

[tex](x^2+3)(x^2-3)[/tex]

Step-by-step explanation:

Since both are perfect squares use the difference of squares formula [tex]a^2-b^2=(a+b)(a-b)[/tex] with a = [tex]x^{2}[/tex] and b = 3

=[tex](x^2 +3)(x^2-3)[/tex]

If this trapezoid is moved through the translation (x+3,y-2), what will be the coordinates of c

Answers

Answer:

C'(1, 2 )

Step-by-step explanation:

The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )

Answer:

C = ( 1 , 2 )

Step-by-step explanation:

original : C =  ( -2 , 4 )

formula : ( x+3 , y-2 )

( -2 + 3 ) , ( 4 - 2 )

C = ( 1 , 2 )

ill answer the other 3 as well :)  

original : A = ( -6 , 2 )

formula : ( x+3 , y-2 )

( -6 + 3 ) , ( 2 - 2 )

A = ( -3 , 0 )

___________________

original : B = ( -5 , 4 )

formula : ( x+3 , y-2 )

( -5 + 3 ) , ( 4 - 2 )

B = ( -2 , 2 )

___________________

original : D = ( 1 , 2 )

formula : ( x+3 , y-2 )

( 1 + 3 ) , ( 2 - 2 )

D = ( 4 , 0 )

yw :)

Find x first to answer get brainliest

Answers

The two angles on the bottom form a right angle so they need to equal 90 degrees.

X = 90 - 35

X = 55 degrees.

Answer:

x=55

Step-by-step explanation:

The angles x and 35 are complementary, or add to 90 degrees

x+35=90

Subtract 35 from both sides

x=55

Evaluate the function.
f(x) = –x^2+ 3x + 13
Find f(-10)

Answers

Answer:

-117

Step-by-step explanation:

Plug -10 in every time you see "x". Then, I used a calculator to evaluate the function (find the answer). Then, I got -117.

Hope this helped :)

Find AC and round to the nearest hundredth

Answers

Answer:

2.18

Step-by-step explanation:

tan 70°=x/6

by cross multiplication

xtan70°=6

divide both sides by tan70°

x=6/tan70°

x=6/2.7475

x=2.18

On a map the scale is shown as 0.5 inches equaling 15 miles. If two towns
are 2.25 inches apart on the map, what is the distance in miles between
the towns?​

Answers

Answer:

The distance in miles between  the towns is 67.5.

Step-by-step explanation:

Given:

On a map the scale is shown as 0.5 inches equaling 15 miles.

If the distance are 2.25 inches apart on the map between the towns .

Now, to find the distance in miles between  the towns.

The distance on the map between the towns = 2.25 inches.

Let the actual distance between the two towns be [tex]x.[/tex]

The scale of the map is 0.5 inches equaling 15 miles.

If, 0.5 is equivalent to 15 miles.

Thus, 2.25 is equivalent to [tex]x.[/tex]

Now, to solve using by cross multiplication method:

[tex]\frac{0.5}{15} =\frac{2.25}{x}[/tex]

By cross multiplying we get:

[tex]0.5x=33.75[/tex]

Dividing both sides by 0.5 we get:

[tex]x=67.5\ miles.[/tex]

The actual distance between the two towns = 67.5 miles.

Therefore, the distance in miles between  the towns is 67.5.

Multiply the binomial. To write x2 use "^". X^2
(3x + 2) (x– 4)

Answers

Answer:

3x^2-10x-8

Step-by-step explanation:

An entertainment venue has a total advertising budget of $5 million per year. 30% of the budget is spent on social media and 25% is spent on traditional media. Within the traditional media spending, 15% is spent on print advertising, 50% is spent on TV
advertising and 3596 is spent on radio advertising. How much is spent on radio advertising?

Answers

Answer:

437,500

Step-by-step explanation:

The percentage value of amount of money spent on radio advertising is given by R = $ 437,500

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage value of amount of money spent on radio advertising be represented as R

Now , the total amount of revenue money = $ 50,00,000

The percentage of money spent on traditional media = 25 %

So , the amount of money spent on traditional media = percentage of money spent on traditional media x total amount of revenue money

On simplifying , we get

The amount of money spent on traditional media = ( 25/100 ) x 5000000

The amount of money spent on traditional media = $ 12,50,000

Now , the percentage of amount spent on radio advertising = 35 %

So , the amount of money spent on radio advertising = ( 35/100 ) x amount of money spent on traditional media

On simplifying , we get

The amount of money spent on radio advertising = ( 35/100 ) x 12,50,000

The amount of money spent on radio advertising = $ 4,37,500

Hence , the amount of money on radio advertising is $ 4,37,500

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The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. A triangular pyramid is stacked on top of a triangular prism. They both share a triangular base. The triangle has a height of 10 and a base length of 22. The height of the triangular prism is 25. The height of the pyramid is 19.5. What is the volume of the composite figure? 715 units3 2,035 units3 2,750 units3 3,465 units3

Answers

Answer:

the answer is 3465

Step-by-step explanation:

got it right on ed

The required volume of composite figure is 3465 cubic units. Option d is correct.

For composite figure made of triangular pyramid over triangular prism both as congruent base with dimension h = 10 and base =22.
Hight for both pyramid and prism is 19.5 and 25
Volume of composite figure is to be determine,  

What is composite figure?

When two or more solid put together to form new solid is said to be composite figure.

Here,
Volume of a pyramid = 1/3(1/2 base x height of triangle base)*h of
Volume of a pyramid = 1/3*22*10/2*19.5 = 715 cubic units

Similarly, for triangular prism
Volume of a triangular prism= 22*10/2x 25 = 2750 cubic units


Total volume =  volume of a triangular (pyramid +  prism)
Total volume = 715+2750
Total volume = 3465 cubic units.

Thus the required volume of composite figure is 3465 cubic units.

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A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 4. Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in that trial.

Answers

Answer:  The answer is 0.3

Step-by-step explanation:

Final answer:

Lily should expect to buy 1.5 boxes to get all four prizes.

Explanation:

This question belongs to the field of probability in Mathematics. The problem is asking how many boxes Lily should expect to buy in order to get all four prizes. This is a geometric problem because each box has a probability of 1/4 of containing a prize, and each trial is independent with the same probability of success. To solve this problem, we can use the concept of expected value.

The expected value is the average number of boxes Lily needs to buy to get all four prizes. The expected value can be calculated by multiplying the probability of each outcome by the number of boxes it takes to achieve that outcome, and then summing up these products:

Expected value = (1/4) * 1 + (1/4) * 2 + (1/4) * 3 + (1/4) * 4 = 1.5

Therefore, Lily should expect to buy approximately 1.5 boxes to get all four prizes.

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I need some help :,)

Answers

What’s the question

Find the area of the shape shown below

Answers

Answer:

A = (1/2)(3)(7 + 3) = 5(3) = 15

15 goes into the box.

Describe possible consequences of each of the following.
A. failing to pay cell phone
B. failing to pay your credit card bill on time.

Answers

A. If you fail to pay your cell phone bill, your cell provider may cut your service. You may have debt and your contract will be canceled.

B. If you fail to pay your credit card bill on time, you will have to pay late fees, receive increased interest rates, and incur damages to your credit score. If you continue to miss payments your card can be frozen, your debt could be sold to a collection agency, and the owner of your debt could sue you and have your salary garnished.

Which algebraic expression has like terms?
o 9n - 2n+3-4n
O 7n2+3n-3-6172
O 7n2 +4n-37 – 512
O 67° -4n4+67-512

Answers

Answer:

The third choice

In the diagram shown, what is the ratio of shaded parts to unshaded parts?
2 shaded for every 4 unshaded
O 6 shaded for every 2 unshaded
2 shaded for every 2 unshaded
O4 shaded for every 2 unshaded

Answers

Answer:

D

Step-by-step explanation:

Simon can spend no more than $50 on gifts for his family. Let srepresent the
amount he can spend. Choose the symbol that correctly completes the inequality

Answers

50 > S

This is true because 50 is greater than S and the amount he can spend lower than 50

If a is a rational number and b is an irrational number, then the sum a + b is

Answers

Answer:

Sum a + b is irrational

Step-by-step explanation:

Any irrational number plus a rational number is always irrational.

Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are
2
22 sizes,
4
44 colors,
7
77 phrases, and
4
44 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)
How many different card designs are possible?

Answers

Answer:

224 card combinations

Step-by-step explanation:

The total number of card designs can be found by multiplying the number of options available for each design element.

Total number of cards= 2x4x7x4=?

224 cards altogether

Help please A multiple choice question has 6 options. What is the percentage of getting the answer correct ? Can you write the answer as a ratio too?

Answers

Answer:

16.67%

Step-by-step explanation:

No. of options: 6

Correct option: 1

P(correct) = 1/6 × 100

16.67%

I NEEP HELP ON THIS NOWWWWWW
i need the vertex, axis of symmetry, as well as if it is a vertical strech, shrink, and by a factor of how much for the graph in the picture above.
PLEASE HELP QUICK

Answers

Answer:

vertex and AOS is 0, and i think the stretch is 1

Step-by-step explanation:

Answer: vertex (0,0)

Vertical stretch

Axis of symmetry X=0

Step-by-step explanation:

With which information can you construct more than one triangle?

Answers

Answer:

The measurements of all the right angles and the lengths of the two sides and the measurement of the included angle.

Step-by-step explanation:

the measurements of two angles

the measurements of two angles and the length of the included side

the lengths of two sides and the measurement of the included angle

The base and height of a triangle with base 12 in and the height 6 in are both tripled

Answers

Answer:

Base=36

Height=18

Step-by-step explanation:

To work this out you would first multiply 12 by 3, which gives you 36. Then you would multiply 6 by 3, which gives you 18.

1) Multiply 12 by 3.

[tex]12*3=36[/tex]

2) Multiply 6 by 3.

[tex]6*3=18[/tex]

3) Base=36

Height=18

[tex]\large\bf{\underline{\underline{\mathfrak{Question}:}}}[/tex]

The base and height of a triangle with base 12 in and the height 6 in are both tripled.

[tex]\large\bf{\underline{\underline{\mathfrak{Solution}:}}}[/tex]

It is given that,

[tex]:{\Longrightarrow{\small{\rm{The\:base\:of\:a\:triangle\:=\:12}}}}[/tex]

[tex]:{\Longrightarrow{\small{\rm{The\:height\:of\:a\:triangle\:=\:6}}}}[/tex]

And if both base and height get tripled then the base and height would be:

[tex]:{\Longrightarrow{\small{\rm{The\:base\:of\:a\:triangle\:=\:3×12}}}}[/tex]

[tex]{\therefore{\small{\rm{The\:new\:base\:of\:a\:triangle\:=\:36}}}}[/tex]

And,

[tex]:{\Longrightarrow{\small{\rm{The\:height\:of\:a\:triangle\:=\:3×6}}}}[/tex]

[tex]{\therefore{\small{\rm{The\:new\:height\:of\:a\:triangle\:=\:18}}}}[/tex]

a sheet of acrylic has a mass of 95.2g. Acrylic has a density of 1.19g/cm³ What is the volume of the sheet of acrylic

Answers

Answer:

80 cm³

Step-by-step explanation:

Density = mass/volume

1.19 = 95.2/volume

Volume = 95.2/1.19

= 80

Answer:

80 cm cubed

Step-by-step explanation:

The density of a substance is denoted by d = m/V, where d is the density, m is the mass, and V is the volume.

Here, we know that the mass m = 95.2 grams and the density d = 1.19 g/cm cubed. So, plug these values into the formula:

1.19 = 95.2/V

Divide both sides by 1.19 and multiply both sides by V:

V = 95.2/1.19 = 80 cm cubed

Thus, the volume is 80 cm cubed.

Hope this helps!

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