A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated the sodium content (in milligrams) for each order based on Chipotle's published nutrition information. The distribution of sodium content is approximately Normal with mean 2000 mg and standard deviation 500 mg. About what percent of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium?

Answers

Answer 1

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

Answer 2

21.186% of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium.

It is known that 3000 meals ordered from Chipotle restaurants using the online site Grubhub.

And the distribution of sodium content is approximately Normal with mean 2000mg and standard deviation 500 mg.

We know,

[tex]z = \frac{(x- \mu)}{\(\sigma\)}[/tex],

And daily allowance of 2400 mg of sodium

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

[tex]z = \frac{2400 - 2000}{500}[/tex]

z = 0.8

Probability value from Z-Table:

[tex]P(x<2400) = 0.78814\\P(x>2400) = 1 - P(x<2400) \\= 0.21186[/tex]

Converting to percentage:

[tex]= 0.21186 (100)\\= 21.186%[/tex]

Therefore, the percent of the meals  ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%.

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Related Questions

Anthony resells shoes that he purchases. He bought a pair for $210, and then applied a 43% markup. How much will the shoes be sold for?

Answers

To find how much 43% of 210 is, we do a part/whole=percent/100, so a/210=57/100, 210•57=11970/100=119.70, so that means that 210-119.70=90.30, so 210+90.30=300.30 as the final cost

solve the inequality and tell weather it has infinite or no solutions
[tex]0.5x+8\ \textless \ 2x-4[/tex]

Answers

X>8 infinite solutions

1. In the computer lab, there
are 14 desktops and 16
laptops. Approximately what
percent of the computers are
laptops?

Answers

Answer:

53.3333333%

Step-by-step explanation:

Given the following question:

14 desktops
16 laptops
14 + 16 = 30

To find the answer use the formula to calculate percentages.

[tex]\frac{16}{30}\times100[/tex]
[tex]16\div30=0.533333333[/tex]
[tex]0.533333333\times100=53.3333333[/tex]
[tex]=53.3333333[/tex]

16 of 30 as a percentage is "53.3333333%."

Hope this helps.

Find the total amount given the original price, tax rate and tip rate. Round to the nearest hundredth if necessary.

Original price: $90.34

Tax rate: 3.5%

Tip: 20%

Enter the correct answer in the box.

Answers

Answer:

$111.5699. Round to hundredths $111.57

Step-by-step explanation:

First identify the %

20% =.20 20/100= .20

3.5% = .035 3.5/100= .035

Then Find the tax rate and tip

Tax Rate .035 × 90.34

= $3.1619 (tax rate)

Tip. is .20× 90.34

= $18.068 (tip)

Final Add all it up tax rate+ tip + original price

$90.34. Don't forget to line up your demicals

$3.1619. or use a calculator

+ $18.068

Total = $111.5699

round to the nearest hundredth

$111.57 is your total

How long is the altitude of a right triangle that separates the hypotenuse into lengths 6 and 25?

a. 5^6
b. 150
c. 4^5
d. 10^5

Answers

Answer: A

Step-by-step explanation:

What is the gradient of the graph shown?Give your answer in its simplest form.

Answers

Answer:

gradient = 1

Step-by-step explanation:

calculate the gradient using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0-(-2)}{2-0}[/tex] = [tex]\frac{0+2}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

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

[tex]\longrightarrow[/tex]By observing the graph of the line , we can observes that it intersects x- axis at 2 and y -axis at -2 i.e., it passes through (2,0) and (0,-2) respectively.

[tex]\textsf{The gradient of a line passing through two}[/tex][tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}}[/tex]

Here,

[tex]\sf{x_1= 2}[/tex][tex]\sf{y_1=0}[/tex][tex]\sf{x_2=0}[/tex][tex]\sf{y_2= -2}[/tex]

Putting Values:-

[tex]\begin{gathered}\\\implies\quad \bf Gradient =\frac{-2-0}{0-2} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \bf \frac{\cancel{-2}}{\cancel{-2}} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \bf 1 \\\end{gathered} [/tex]

>>The gradient of the graph shown is 1

The equation f = v + at represent the final velocity of an object f with an initial velocity v and an acceleration rate a overtime t. which is an equivalent equation solved for t​

Answers

Answer:

t = f-v/a (First choice)

Explanation:

step by step:

1) f = v + at

2) f - v = v - v + at

3) f - v = at

4) f - v / a = at / a

5) f - v / a = t

6) t = f - v / a

A book costs $10 at one book store. About how much more does the book cost when the book store increases its prices 18%?

Answers

$11.80

Step-by-step explanation:

The first to answer will be named brainlest

Answers

Answer:

Id say 1st and 3rd answer.

Step-by-step explanation:

Answer:

First Third and Fourth Statements are true.

Step-by-step explanation:

i will give brainliest
Find n.
35n/35 = 700/35

Answers

Answer:

20

Step-by-step explanation:

[tex]\frac{35n}{35} =\frac{700}{35} \\[/tex]

multiply both sides by 35

[tex]35*\frac{35n}{35} = 700 * 35\\35n = 700[/tex]

divide both sides by 35

[tex]n = 20[/tex]

Answer:

N = 20

Step-by-step explanation:

Move all terms to the left

35n/35-(700/35)=0

Add all of the numbers together, and all of the variables

35n/35-20=0

Multiply all of the terms by the denominator

35n-20*35=0

Add all of the numbers together, and all of the variables

35n-700=0

Move all of the terms containing N to the left, all other terms to the right

35n=700

n=700/35

n=20

70200 NC)
Demarcus will be 21 years old when he graduates. It is mean weekly wage over his career is $1.258.00 what will his lifetime earnings be when he retires at the age of 62? (1 point)
$1371 532.00
$287779200
$3.572132.00
$4049344.00

Answers

Step-by-step explanation:

Her life term earnings will be 4049344.00 dollars

The Panthers baseball team needs new equipment. They plan to purchase bats that cost $60 each and gloves that cost $25 each. The number of bats they will purchase is half the number of gloves they will purchase. If they have $700, how many of each can they buy?

Answers

Answer:

Therefore, they can buy

6.36 bats and 12.72gloves

Step-by-step explanation:

Let us represent:

The number of bats purchased = b

The number of gloves purchased = g

We are told in the question that:

The number of bats they will purchase is half the number of gloves

b = 1/2g

b = g/2

g = 2b

The teams plan to purchase bats that cost $60 each and gloves that cost $25 each. they will purchase. If they have $700, how many of each can they buy?

Hence:

$60 × b + $25 × g = $700

= 60b + 25g = 700

We substitute 2b for g

60b + 25(2b) = 700

60b + 50b = 700

110b = 700

b = 700/110

b = 6.3636363636

b = 6.36 bats

Therefore, the number of bats they can buy = 6.36 bats

Remember:

g = 2b

b = 6.36

Hence,

g = 2 × 6.36

g =12.72

Therefore, the number of gloves = 12.72 gloves

Find value of x with the steps please

Answers

Answer:

x=7°

Step-by-step explanation:

The figure is a triangle.

1. Triangles's angles add up to 180°.

2. We know that 1 angle measures 104°, so the remaining 2 angles add up to 76°. It is an isosceles triangle, so both of the remaining 2 angles have equal measures.

3. 76÷2=38°.

4. 9x-25°=38°

5. 63°-25°=38°

6. 9x=63°

7. x=7°

Step by step explanation above. Hope it is correct!

Wanda rides her bike 5 hours a week. How many hours does she ride in 4 weeks?

Answers

Answer:

20

Step-by-step explanation:

We can put the rate of hours a week as 5. Since in this case hours will substitute for distance, and distance=speed*time, then the amount of hours will be 5*4=20.

edit: mistyped

Answer:

20 hours

Step-by-step explanation:

Given the following question:

5 hours per week
How many hours does she ride in 4 weeks?

We know the amount of hours Wanda rides per week, so this is a simple multiplication problem.

[tex]5h\times4w[/tex]
[tex]5\times4=20[/tex]
[tex]=20[/tex]

Wanda rides her bike for "20 hours" in 4 weeks.

Hope this helps.

* Hello I'm giving ALOT of points to the one who can answer this question with an ANSWER & a STEP-BY-STEP EXPLAINATION so that I can learn from this lesson. I'm truly more interested in learning than knowing a answer. If you dont do so I WILL take back my points :)*

The ages of two groups of karate students are shown in the following dot plots:

(Imported image)

The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data?

1. Group A has greater variability in the data.
2. Group A has less variability in the data.
3. Group B has a lower range.
4. Group B has a lower mean.

Thank you so much for your help! Xx

Answers

Answer:

From the graph and data points, you can observe that Group B has a HIGHER range and has a greater variability. so it's NOT 1. 4. or 3. THEREFORE it's 2.

Explanation:

You start out by finding the mean (finding the sum of the data values and then dividing the sum by the number of data values)

and subtracting the first plot by the last in each graph.

(at least I think)

I've been through this topic. (it was a long time ago since I'm now in highschool so this might be different now as the grading curriculum has changed)

The mean of 3 numbers is 4. 2 of the numbers are 1 and 9
What is the third number

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{a+b+c}3}= 4\\[/tex]

multiply both sides by 3

a+b+c=12

substitute the values we have

1+9+c=12

10+c=12

-10     -10

c=2

so the third number is 2

hope this helped you !

Explain how to solve the equation.
g/4=24

Part 1
Select the correct choice below and fill in the answer box within your choice.
​(Type a whole​ number.)
A.Divide both sides by

B.Subtract from both sides.

C.Multiply both sides by

D.Add to both sides.

Answers

Answer:

C. Multiply both sides by 4.

Step-by-step explanation:

You are isolating the variable, g, and so you will do the opposite of all operations that occurs with the variable, g.

Note the equal sign, what you do to one side, you would do to the other. Isolate the variable, g, by multiplying 4 to both sides of the equation:

[tex]\frac{g}{4} * 4 = 24 * 4[/tex]

[tex]g = 24 * 4[/tex]

[tex]g = 96[/tex]

~

A vanilla thickshake is $2 more than a fruit juice. If 3 vanilla thinkshakes and 5 fruit juices cost $30, determine their individual price.

Answers

Answer:

vanilla=$5 and fruit juice=$3

Step-by-step explanation:

let $x and $y denote the cost of vanilla thickshake and fruit juice respectively.

Now,

$x=$y+2$ (Given)-----(i)

3×$x + 5×$y =30

3×($y+$2)+5×$y=30 (From equation i )

3×$y +$6 + 5×$y = 30

8×$y + $6 = $30

8×$y= $24

.: $y =$3

Then,

From i

$x =$y+$2

=$3+$2

#$5

The table shows values of a function f(x) what is the average rate of change of f(x) over the interval from x=4 to x=9

Answers

Answer:

18/5

Step-by-step explanation:

it's just slope formula

(14- -4)/(9-4)

(14+4)/5

18/5

Get moneyy. Answer this.

Answers

It should be a 80 degrees.

Answer:

60

Step-by-step explanation:

all the outer angles have to add up to 360

please help thank you

Answers

Answer:

goofy

Step-by-step explanation:

4. What is the value of b in the triangle shown below?
(1 point)
3b
24 in.?
b
0-4 in
04 in
0 =4 in
O no solution

Answers

Answer:

4 inches

Step-by-step explanation:

[tex]24 = \frac{1}{2} (b)(3b) \\ \\ \implies \: 24(2) = 3 {b}^{2} \\ \\ \implies \: 48 = 3 {b}^{2} \\ \\ \implies \: \frac{48}{3} = {b}^{2} \\ \\ \implies \: {b}^{2} = 16 \\ \\ \implies \: {b} = \pm\sqrt{16} \\ \\ \implies \: {b} = \pm \: 4 \\ \because \: b \: is \: side \: length \\ so \: its \: value \: cant \: be \: negative. \\ \implies \: b = 4 \: in[/tex]

Please Help! Explain too!​

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Answer:

A Because probability cannot be of - sign it ranges from o-1

Pleaseee someone plizzz help me on this one ✊✊✊

Answers

Answer:ok so u have to help

Step-by-step explanation:

POINTS AND BRAINLY
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Answers

Answer:

the answer would be A a pure sound

Answer:

I think it is A pure Sound

Step-by-step explanation:

Owen measured a line to be 17.9 inches long. If the actual length of the line is 17.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

0.6%

Step-by-step explanation:

Percent Error = the absolute value of (actual value observed-expected value)/(expected value) x100%

(17.8-17.9)/(17.9) = -0.006

Absolute value is 0.006

0.006 times 100% equals 0.6%

The percent error of the measurement in the length is 10%.

What is percent error in measurement?Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage.

Given is that Owen measured a line to be 17.9 inches long. The actual length of the line is 17.8 inches.

We can calculate the percentage error as -

%e = {(A.V. - E.V.)/(A.V.)} x 100

%e = (17.9 - 17.8) x 100

%e = 0.1 x 100

%e = 10%

Therefore, the percent error of the measurement in the length is 10%.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Is (6, 1) a solution to the equation y = 5x?

Answers

Answer:

False, but depends on…

Step-by-step explanation:

If you are dealing with x and y-intercepts, or slopes, then no. The answers wouldn't be in the given format. If you're looking for a coincidence, then it could be a solution. Hope this helps!

I would appreciate a lot if y’all help me!

Answers

Answer:

Deductive reasoning

Step-by-step explanation:

mZ3 = 37. Find mZ1.
1
4
2
3

Answers

Answer:

37⁰

Step-by-step explanation:

Angles 3 and 1 are vertical angles. Therefore it is congruent.

Consider the expression (1.0045)^4t that represents the interest earned on a money
market account, where t is the time In years. What is the approximate yearly interest rate? Round your percent to the nearest tenth. INCLUDE THE % SYMBOL IN YOUR ANSWER

Answers

The approximate yearly interest rate is 1.02%

Exponential equations

Given the expression  that represents the interest earned on a money given as (1.0045)^4t

In order to calculate the approximate yearly percent, we will substitute t = 1 into the expression as shown:

f(t) = (1.0045)^4t

f(1) = (1.0045)^4(1)

f(1) = (1.0045)^4

f(1) = 1.018

Hence the approximate yearly interest rate is 1.02%

Learn more on interest rate here: https://brainly.com/question/25545513

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