The amount of vitamin C found in one cup of six
varieties of orange juice is shown below. What is the
median amount of vitamin C in the different varieties?
104 mg, 85 mg, 83 mg, 100 mg, 89 mg

The Amount Of Vitamin C Found In One Cup Of Sixvarieties Of Orange Juice Is Shown Below. What Is Themedian

Answers

Answer 1

Answer:

Question:The amount of vitamin C found in one cup of six varieties of orange juice is shown below. What is the median amount of vitamin C in the different varieties?104 mg, 85 mg, 83 mg, 100 mg, 89 mg

Solution:First thing first, we've to arrange the data in an ascending order

=> 83mg ,85mg ,89mg ,100 mg ,104 mg

Now ,Since the no. of observation is odd(here,5), we'd apply this formula

[tex] = > (\frac{n + 1}{2})[/tex]

Where ,n= No. of observations, Hence, the median of the above data

[tex] = > ( \frac{5 + 1}{2}) \\ = > \frac{6}{2} \\ = > 3[/tex]

is the third observation ↦89mg

[tex] \\ \\ [/tex]

Hope it helps

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Answer 2

The median amount of vitamin C in the different varieties is 89mg.

what is median?

The median is the value that's exactly in the middle of a dataset when it is ordered.

Given:

104, 85, 83, 100, 89

On arranging the given data:

83, 85, 89, 100, 104

as, the data is in odd number.

So,

median = (n+1)/2

=(5+1)/2

=3

The third element is 89.

Hence, the median amount of vitamin C in the different varieties is 89mg.

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Related Questions

PLS BELP I DONT HAVE MUCH TIME!!!

Answers

Answer:

I'd say A or D but I have a feeling it's A

What is the perimeter of the figure?

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320 ft is the perimeter

Find the range of values of x for which
|2x+1|-x-3<0, where x € R.

Answers

By analyzing the inequality and solving, the range of values of x for which the inequality is true is x € (-4/3, 4)

What is domain?

Domain is the input to the function.

What is range?

Range is the output of the function.

First, we'll consider the case where |2x+1|-x-3<0.

|2x+1|-x-3<0

|2x+1|<x+3

Now we need to take the absolute value of 2x+1, we have two cases to consider:

Case 1:

2x + 1 > 0

2x + 1 < x + 3

2x - x < 3 + 1

x < 4

Case 2:

2x + 1 < 0

-2x - 1 < x + 3

-2x - 1 -x - 3 < 0

-3x - 4 < 0

x > -4/3

Now we must find the intersection between the two cases:

x € (-4/3, 4)

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Rewrite the radical expression as an expression with a rational exponent.

the seventh root of x to the thrid power

x to the three sevenths power
x to the seven thirds power
x^21
x^4

Answers

Answer:

To rewrite the radical expression "the seventh root of x to the thrid power" as an expression with a rational exponent, we need to use the property that allows us to rewrite a root of a power as a power with a rational exponent. This property states that "the nth root of x to the mth power" is equal to "x to the m/nth power".

Using this property, we can rewrite "the seventh root of x to the thrid power" as "x to the 3/7th power". Therefore, the correct answer is "x to the 3/7th power".

The other answer choices are not equivalent to the original expression. "x to the seven thirds power" is not a valid expression because "thirds" is not a unit of measurement. "x^21" is not equivalent to the original expression because the base and exponent are not related in the same way as in the original expression. "x^4" is not equivalent to the original expression because the base is the same but the exponent is not.

Answer: x to the 3/7th power

Step-by-step explanation:

so you dont have to read a essay to get the answer lol

Determine the greatest common factor of the following numbers 8 and 12
NO LINKS PLEASE!!!!​

Answers

I think it would be 4.
8 breaks down to 4(2) and 12 breaks down to 4(3). Let me know if that helps!

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Answers

Answer: G = 50°, I = 50°, H = 80°

Step-by-step explanation:

First and foremos, the sum of three angles of a triangle is 180°

2x + 2x + (4x - 20) = 180°

8x - 20 = 180°

8x = 180° + 20 (adding 20 on both sides)

8x = 200°

x = 200/8

x = 25

The value of the angles can be found by replacing the value of x with 25

2x = 2 x 25 = 50°

Therefore, the angle of two angles are 50°

And the other is (4 x 25) -20 = 80°

A conservative investor has $100,000 to invest. The investor has decided to use three vehicles for generating income: Municipal bonds, a certificate of deposit (CD), and a money market account. After reading a financial newsletter, the investor also has identified several additional restrictions on the investments:
a. No more than 40 percent of investment should be in bonds
b. The proportion allocated to the money market account will be at least double the amount in the CD
c. The annual return will be 8% for bonds, 9% for the CD and 7% for the money market account. Assume that the investor wants to maximize the total annual return
Then, formulate the LP model for this problem, ignoring any transaction costs and the potential for different investment

Answers

Answer: Here, let X,Y,ZX,Y,Z indicate the amount in dollars to be invested

Step-by-step explanation: Here, let X,Y,ZX,Y,Z indicate the amount in dollars to be invested

Find each marked side or angle show the step by step​

Answers

Answer:

taking b as reference angle

using cos rule

cos b=b/h

cos b=1.3/2.8

cos b=0.46

cos 62 =0.46

Step-by-step explanation:

therefore the value of b is 62 degree

Tara is painting her room she brought paint that takes 3 gallons to cover an area of 75 square feet how many gallons of paint will tara need to paint 375 square feet of her room

Answers

Tara will need gallons of paint

If a copy machine can copy 34 sheets of paper in one minute. How many sheets can it copy in 2 hours?

Answers

Answer:

Step-by-step explanation:

34x60

60 minutes in a hour

34x60=204

204+204= 408

408 copies in 2 hours

Answer:

4080

Step-by-step explanation:

First you would multiply 34 by 120. After you multiply those numbers you should get 4080 as your answer.

The scatter plot shows the ages of people at a retreat and the number of events they participated in. The equation for the regression line is yˆ=−1.3x+45.8.

Answers

Answer:

C

Step-by-step explanation:

For each increase of one year of age, the number of events a person participated in decreases by 1.3. Option C is correct.

What is a scatter plot?

As there is only one projection on the x-axis and one projection on the y-axis for each point, scatter plots are graphs that depict individual points of data and are labeled with quantitative values on both coordinate axes. Scatter plots, which display data points on a horizontal and vertical axis, are used to demonstrate how much one variable influences another.

It is given that, the equation for the regression line is yˆ=−1.3x+45.8.

The scatterplot is drawn between the number of events and age which shows the age of event participants.

It is obtained that the number of events a person participated in reduces by 1.3 for every year of age increase.

Thus,option C is correct.

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make x the subject of the formula in R = ax-p/q+bx

Answers

R = (ax - p)/(q + bx)

(ax - p) = R(q + bx)

ax - p = Rq + Rbx

ax - Rbx = Rq + p

x(a - Rb) = Rq + p

x = (Rq + p)/(a - Rb)

To show that NMQ ≈ QPN by SAS, what must be the value or x?

I need help with this please help me

Answers

Answer:

  x = 3

Step-by-step explanation:

You want to know the value of x, given that NM = 5x-1 and QP = 3x+5 in congruent triangles NMQ and QPN.

CPCTC

Corresponding parts of congruent triangles are congruent, so we have ...

  NM = QP

  5x -1 = 3x +5

  2x = 6 . . . . . . . . . . add 1-3x

  x = 3 . . . . . . . . . . divide by 2

Using pi 3 what is the answer

Answers

Answer:

12mm

Step-by-step explanation:

circumference (distance around) is equal to πd.

here, if π is 3, we do 3 x the diameter, which is 4. 3 x 4 = 12mm


Someone please help me. I will give you hella points I need this answer to like graduate type

Answers

Answer:

$9 and $7

Step-by-step explanation:

The first equation:

x + 2y = 23

The second equation:

2x + 3y = 39

Convert to slope-intercept form:

x + 2y = 23 ⇒ 2y = -x + 23 ⇒ y = -1/2x + 11.52x + 3y = 39 ⇒ 3y = -2x + 39 ⇒ y = -2/3x + 13

The graph is attached

Intersection point is (9, 7)

Adult tickets cost $9Child tickets cost $7

Which equation justifies why ten to the one third power equals the cube root of ten?

ten to the one third power all raised to the third power equals ten to the one third plus three power equals ten

ten to the one third power all raised to the third power equals ten to the one third times three power equals ten

ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten

ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten

Answers

The equation that justifies  ten to the one third power equals the cube root of ten is ten to the one third power all raised to the third power equals ten to the one third times three power equals ten. Option B

How to justify the power

we are to find [tex]10^{\frac{1}{3} } = \sqrt[3]{10}[/tex]

The justification has to be done with the use of the properties of powers as well as roots.

[tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]

then we would have:

[tex]\sqrt[3]{10} = \sqrt[3]{10^1} =10^\frac{1}{3}[/tex]

then we would have

[tex](10^\frac{1}{3} )^3\\\\= 10^\frac{3}{3}[/tex]

= 10

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Use the decimals 2.49, 9.19, and 6.7 to write two different addition facts and two different subtraction facts.

Answers

The solution to the equations is

Addition : 2.49 + 6.7 = 9.19  ;  6.7 + 2.49 = 9.19

Subtraction : 9.19 - 6.7 = 2.49  ;  9.19 - 2.49 = 6.7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the three decimals be represented as set x = { 2.49 , 6.7 , 9.19 }

Now , the addition facts are given by equations ,

2.49 + 6.7 = 9.19  be equation (1)

6.7 + 2.49 = 9.19   be equation (2)

And , the subtraction facts are given by the equations ,

9.19 - 6.7 = 2.49  be equation (3)

9.19 - 2.49 = 6.7  be equation (4)

Hence , the equations are solved

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Can y’all help me on question 13?!

Answers

Answer:

C

Step-by-step explanation:

20 - 13 = 7

Answer:

C)

Step-by-step explanation:

7 + 13 = 20

The answer is C

Help me please...... I dknt understand math I’m du.mb

Answers

Answer:

281/100

the mixed number would be 2 81/100

Step-by-step explanation:

Times 2.81 by 100

Hope it helps :)

A mixed number is a whole number with a proper fraction together.

With that definition, keep the 2. It is already a whole number.

0.81 is the part you need as a proper fraction. 0.81 can be read as 81 hundredths or 81/100.

So combine the two: 2 81/100 is your answer.

Evaluate the given integral by changing to polar coordinates. sin(x2 y2) dAR, where R is the region in the first quadrant between the circles with center the origin and radii 3 and 4

Answers

Answer:

The result of the integral is [tex]\frac{\pi}{4}(-\cos{16} + \frac{9})[/tex]

Step-by-step explanation:

Polar coordinates:

In polar coordinates, we have that:

[tex]x^2 + y^2 = r^2[/tex]

And

[tex]\int \int_{dA} f(x,y) da = \int \int f(r) r dr d\theta[/tex]

In this question:

[tex]\int \int_{dA} \sin{(x^2+y^2)} dA = \int \int_{dR} = \sin{r^2}r dr d\theta[/tex]

Region in the first quadrant between the circles with center the origin and radii 3 and 4

First quadrant means that [tex]\theta[/tex] ranges between [tex]0[/tex] and [tex]\frac{\pi}{2}[/tex]

Between these circles means that r ranges between 3 and 4. So

[tex]\int \int_{dR} = \sin{r^2}r dr d\theta = \int_{0}^{\frac{\pi}{2}} \int_{3}^{4} \sin{r^2} r dr d\theta[/tex]

Applying the inner integral:

[tex]\int_{3}^{4} \sin{r^2} r dr[/tex]

Using substitution, with [tex]u = r^2, du = 2rdr, dr = \frac{du}{2r}[/tex], and considering that the integral of the sine is minus cosine, we have:

[tex]-\frac{\cos{r^2}}{2}|_{3}{4} = \frac{1}{2}(-\cos{16} + \frac{9})[/tex]

Applying the outer integral:

[tex] \int_{0}^{\frac{\pi}{2}} \frac{1}{2}(-\cos{16} + \frac{9}) d\theta[/tex]

Has no factors of [tex]\theta[/tex], so the result is the constant multiplied by [tex]\theta[/tex], and then we apply the fundamental theorem.

[tex]\frac{\theta}{2}(-\cos{16} + \frac{9}) = \frac{\pi}{4}(-\cos{16} + \frac{9})[/tex]

The result of the integral is [tex]\frac{\pi}{4}(-\cos{16} + \frac{9})[/tex]

I need help ASAP...please please someone help

Answers

Answer:

x = 26

Step-by-step explanation:

180=(4x+10)+(x+40)

180 = 4x + x +10 + 40

180 - 50 = 5x

130 = 5x

130 / 5 = x

26 = x

A 130+50.
Hdhdhdbsnna

One final question, what would be the proper way to write this? I thought it was the last one answer but I’m not sure

Answers

Answer:

OMG NO- KEEP IT THAT WAY

You're already right! :)

Question 5, Please Answer and Explain

Answers

The trigonometric ratios for the angle x in the triangle are given as follows:

tan(x) = f/e.cos(x) = e/d.sin(x) = f/d.

What are the trigonometric ratios?

The three trigonometric ratios are defined as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.

In the right triangle in this problem, we have that d represents the hypotenuse, while the sides relative to angle x are given as follows:

Adjacent side: length of e.Opposite side: length of f.

These sides are used along with the definitions of each ratio to give the three trigonometric ratios of angle x.

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I don’t understand the problem and need help

Answers

Answer:

D. In a given year, the amount spent on repair decreases by 99 for each oil change the owner gets

Step-by-step explanation:

From the equation given, the slope of the regression model is the Coefficient of x ; which is - $99 ; this means that we have a negative slope value and thus an increase in unit of x will lead to decrease of y, which is the amount spent. Hence, for every oil change athecar gets, the amount spent on repair that year decreases by $99

Lillian is wrapping a gift box that has the size shown below. What is the volume of the box?
Enter your answer in the box.

Cube with height of 9 cm and area of base as 36 square cm.

cubic centimeters

Answers

[tex] \huge \mathrm{Answer࿐ }[/tex]

[tex] \boxed{\mathrm{volume = area \times height}}[/tex]

[tex]36 \times 9[/tex]

[tex]\mathrm{324 \: cm {}^{3} }[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

324

Step-by-step explanation:

if you do 36 times 9 you get 324

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

8.2

Step-by-step explanation:

(4.5)^2+(6.9)^2=c^2

20.25+47.61=67.86

sqrt of 67.86= 8.2 (rounded already) :)

Greenfields is a mail order seed and plant business. The size of orders is uniformly distributed over the interval from $25 to $80. Use the following random numbers to generate the size of 10 orders. .41 .99 .07 .05 .38 .77 .19 .12 .58 .60 What is the value for the first order size generated randomly based on random number 0.41? What is the value for the last order size generated randomly based on random number 0.60? What is the average order size?

Answers

Answer:

a) 47.55

b) 58

c) 47.88

Step-by-step explanation:

Given that the size of the orders is uniformly distributed over the interval

$25 ( a ) to $80 ( b )

a) Determine the value for the first order size generated based on 0.41

parameter for normal distribution is given as ;  a = 25,  b = 80

size/value of order  = a + random number ( b - a )

                                = 25 + 0.41 ( 80 - 25 )

                                =  47.55

b) Value of the last order generated based on random number (0.6)

= a + random number ( b - a )

= 25 + 0.6 ( 80 - 25 )

= 25 + 33 = 58

c) Average order size

= ∑ order 1 + order 2 + ----- + order 10  ) / 10

= (47.55 + ...... + 58 ) / 10

= 478.8 / 10 = 47.88

The mail order seed follows a uniform distribution

(a) The value of the first order size generated by 0.41

The given parameters are:

[tex]a = 25[/tex] -- the lower bound

[tex]b = 80[/tex] -- the upper bound

To calculate the required value, we make use of the following order formula

[tex]Value = a + r(b - a)[/tex]

Where r represents the random number.

So, we have:

[tex]Value= 25 + 0.41 \times ( 80 - 25 )[/tex]

Open bracket

[tex]Value= 25 + 0.41 \times 55[/tex]

Evaluate the product

[tex]Value= 25 + 22.55[/tex]

Add the terms

[tex]Value= 47.55[/tex]

Hence,  the value for the first order size generated randomly based on random number 0.41 is 47.55

(b) The value of the last order size generated by 0.60

In (a), we have:

[tex]Value = a + r(b - a)[/tex]

So, we have:

[tex]Value= 25 + 0.60 \times ( 80 - 25 )[/tex]

Open bracket

[tex]Value= 25 + 0.60 \times 55[/tex]

Evaluate the product

[tex]Value= 25 + 33[/tex]

Add the terms

[tex]Value= 58[/tex]

Hence, the value for the last order size generated randomly based on random number 0.61 is 58

(c) The average order size

To do this, we calculate the order size from 1 to 10, and then calculate the average value of the 10 orders.

Using a calculator, the sum of the 10 orders is:

[tex]\sum x= 478.8[/tex]

The average order size is then calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

This gives

[tex]\sum x= \frac{478.8}{10}[/tex]

[tex]\sum x= 47.88[/tex]

Hence, the average order size is 47.88

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please help me with this thank you.​

Answers

A) 4:00 PM
B) 1:55 PM

The shaded numbers show a pattern in the multiplication table. Which
expression can find the number that comes next in the pattern?
5
X 0 1 2 3 4
0 0 0 0 0 0
1 0 1 23 4
0
5
0
2.
46
8
10
AWN
O
3
12 15
0
4
Lololo
12 16 20
5
0
5
10 15 20 25
25 + 11
25 x 6
25 X 4
25 + 1

Answers

25+1=26 25x4=100 this is the answer

I need help understanding area with combined shapes

Answers

Answer:

Step-by-step explanation:

You can start by splitting one whole complex shape into multiple shapes. Then find the areas of the shapes and add them together. Check the image I attached.

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