Lunch break: In a recent survey of 643 working Americans ages 25-34, the average weekly amount spent on lunch as $43.21 with standard deviation $2.95. The weekly amounts are approximately bell-shaped. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 Your Answer is incorrect (a) Estimate the percentage of amounts that were less than $40.26. Round the answer to one decimal place. Approximately % of the amounts were less than $40.26.

Answers

Answer 1

Answer:

107%

Step-by-step explanation:

Round up all possible algorithms


Related Questions

The number formed by subtracted 1 from smallest 7-digit number is

Answers

Step-by-step explanation:

the number formed by subtracting 1 from the smallest 7 digit number is largest 6 digit number.

The answer is 6 because the if you are seeing this the answer has to be 6

what equation shows a slope of 2/3 and a white intercept of 0, -2

Answers

y = 2/3 x - 2

Or

y + 2 = 2/3 ( x )

Answer:

y= 2/3x - 2

hope this helps :)

find the LCM of 210, 280, 360 by prime factorisation​

Answers

Answer:

Step-by-step explanation:

210=2x3x5x7

280=2x2x2x5x7

360=2x2x2x3x3x5

Answer:

210= 2×3×5×7

280=2×2×2×5×7

360=2×2×2×3×3×5

common factors=2×2×2×3×5×7=840

uncommon factors=3

L.C.M=Common factors× uncommon factors

L.C.M=840×3

L.C.M=2520

Step-by-step explanation:

i hope it will be helpful

plzz mark as brainliest

PLEASE HELP FAST!! WILL GIVE FIRST PERSON THAT RESPONDS A HIGH RATING AND POINTS!

Answers

Answer:

Step-by-step explanation:

3

This figure shows △ABC. BD¯¯¯¯¯ is the angle bisector of ∠ABC.

What is AD?

Answers

Answer:

AD = 8/3 units

Step-by-step explanation:

Based on the angle bisector theorem, angle bisector BD divides AC into AD and CD such that they are proportional to AB and CB.

This implies:

AB/AD = CB/CD

AB = 8

CB = 10

Set AD equal to x

AD = x

CD = 6 - x

Substitute the values

8/x = 10/(6 - x)

8(6 - x) = 10(x)

48 - 8x = 10x

48 - 8x + 8x = 10x + 8x

48 = 18x

48/18 = 18x/18

8/3 = x

x = 8/3

AD = 8/3 units

Answer:8/3

Step-by-step explanation:

I just took the quiz

what is the main protein of a scientific investigation A. To form an opinion B. to test a hypothesis C. To persuade a bias D. To teach a lesson

Answers

Answer:

D.To teach a lesson

Step-by-step explanation:

Hope it helps you

13 is subtracted from the product of 4 and a certain number. The result is equal to the sum of 5 and the original number. Find the number.​

Answers

Answer:

The number is 6.

Step-by-step explanation:

[tex]4x-13=x+5\\3x-13=5\\3x=18\\x=6[/tex]

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 18 inches and a second side that is 3 inches less than twice the third side, what are the possible lengths for the second and third sides?

Answers

Answer: One side could be 18 and the other side will be 33.

Step-by-step explanation:

Side #1 = 18Side #2 = 2x - 3Side #3 = x

One way of setting up the inequality is: Side #2 + Side #3 > Side #1

[tex]2x-3+x>18\\3x-3>18\\3x>18+3\\3x>21\\x>7[/tex]

Another way of setting up the inequality is: Side #1 + Side #3 > Side #2

[tex]18+x>2x-3\\18+3>2x-x\\x<21[/tex]

Final way of setting up the inequality is: Side #1 + Side #2 > Side #3

[tex]18+2x-3>x\\15>x-2x\\15>-x\\x>-15[/tex]

Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.

True or false? If it is false, replace the underlined word with the correct word. (Constant is underlined) The constant term in a polynomial expression is a number that is not multiplied by a
variable.

Answers

Answer:

true

Step-by-step explanation:

what else would it be. that is exactly the reason why we have constants.

f(x) = 3x3
3.3 – 2.02 + 4x - 5
g(x) = 6x - 7
Find (f + g)(x).

Answers

Answer:

C) (f+g)(x)= 3x^3-2x^2+10x-12

Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY

Answers

Answer:

y=8 and x=8 ✔3. the check is meant to be square root symbol lol

Write this ratio as a fraction in simplest form without any units.
7 gallons to 40 quarts

Answers

9514 1404 393

Answer:

  7/10

Step-by-step explanation:

In order to make the units cancel, they must be the same. There are 4 quarts in 1 gallon, so 40 quarts = 10×4 quarts = 10×(1 gal) = 10 gal.

Then the ratio is ...

  (7 gal)/(10 gal) = 7/10

Bob travels from Inglewood to anytown; a distance of 20 km.
He walks 800 meters and cycles the rest of the way.
What percentage of the journey does he travel by bicycle?

Answers

Answer:

Total Distance = 20km = 20 × 1000 = 20,000 m

Distance walked = 800m

Distance travelled by cycle = 20,000 - 800 = 19,200m

Percentage of journey by cycle = (distance travelled by cycle ÷ total distance) × 100

Percentage of journey by cycle = (19200 / 20000) * 100

Percentage of journey by cycle = 96%

Which expression does NOT equal to 10
_
12

Answers

I believe your answer is D

Answer:

option(d)

Step-by-step explanation:

5/12 + 4/12 + 3/12 + 2/12 + 1/12

=> (5+4+3+2+1)/12

=> 15/12 ≠ 10/12

What are the factors of 60 ???

Answers

Answer:

Factors are 1,2,3,4,5,6,10,12,15,20,30,60

Step-by-step explanation:

Hope this helps

Factors refers to those numbers which muntiplied that no.here, numbers that muntiply 60 are 1,2,3,4,5,6,10,12,15,20,30,60.

thus these numbers are factors of 60.

You can run at a speed of 4 mph and swim at a speed of 2 mph and are located on the shore, 6 miles east of an island that is 1 mile north of the shoreline. How far (in mi) should you run west to minimize the time needed to reach the island

Answers

9514 1404 393

Answer:

  5.423 miles

Step-by-step explanation:

Let x represent the distance to run. Then the remaining distance to the point that is closest to the island is (6-x) miles. The straight-line distance (d) to the point x from the island is given by the Pythagorean theorem:

  d² = 1² +(6 -x)² = x² -12x +37

  d = √(x² -12x +37)

The total travel time is the sum of times running and swimming. Each time is found from ...

  time = distance/speed

  total time = x/4 + d/2 = x/4 +(1/2)√(x² -12x +37)

__

The total time will be minimized when its derivative with respect to x is zero.

  t' = 1/4 +(1/4)(2x -12)/√(x² -12x +37) = 0

Multiplying by 4 and combining fractions, we can see the numerator will be ...

  √(x² -12x +37) +2x -12 = 0

Subtracting the radical term and squaring both sides, we get ...

  4x² -48x +144 = x² -12x +37

  3x² -36x +107 = 0

The quadratic formula tells us the smaller of the two roots is ...

  x = (36 -√(36² -4(3)(107)))/(2(3)) = (36 -√12)/6 ≈ 5.423 . . . mi

You should run 5.423 miles west to minimize the time needed to reach the island.

__

A graphing calculator solves this nicely. The attached graph shows the time is a minimum when you run 5.423 miles.

Please answer! These r my last questions

Answers

Answer:

8. -2a+14

9. w=3/2

Step-by-step explanation:

8.

The distributive property states that we can multiply each component in the parenthesis separately by the number on the outside, and then add that up to get our final answer.

For -2(a-7), this means that we can multiply -2 by a and then -2 by -7 (as 2 is the number on the outside, and a and -7 are the components in the parenthesis), add them up, and get our answer. This can be expressed as

-2 * a + (-2) * (-7) = final answer

= -2 * a + 14

We know that -2 * -7 = 14 because 2 * 7 = 14, and the two negatives in multiplication cancel each other out

9.

Using the subtraction property of equality, we can isolate the variable (w) and its coefficient (-2/3) by subtracting 5, resulting in

(-2/3)w = 4-5 = -1

Next, we can use the multiplication property of equality to isolate the w. To isolate the w, we can multiply its coefficient by its reciprocal. The reciprocal is the fraction flipped over. For (-2/3), its reciprocal is (-3/2), flipping the 2 and 3. We can multiply both sides by (-3/2) to get

w = (-3/2)

To check this, we can plug (-3/2) for w in our original equation, so

(-2/3) * (-3/2) + 5 = 4

-1 + 5 = 4

4 = 4

This works!

Gabrielle's age is two times Mikhail's age. The sum of their ages is 30 . What is Mikhail's age?

Answers

Step-by-step explanation:

G=2m

m+G=30

m +2m =30

3m=30

m=10

In how many ways can a committee of 3 men and 2 women can be formed from 7 men and 5 women?​

Answers

Answer:

in five (5) ways a committee can be formed from 7 men and 5 women

Which graph best represents the equation -4x + 5y = 8

Answers

Answer:

a or b

Step-by-step explanation:

the pictures are a little hard to tell apart but im my opinion go for a because its the closest

Answer:

A.)

Step-by-step explanation:

I took the test.

Three brothers enter a race with 8 friends. The racers draw lots to determine their
starting positions. What is the probability that the older brother, Mike, will start in lane 1, with
his other brothers, Stan and Steve beside him in lanes 2 and 3 in that order?

Answers

11 people
If there are 11 lanes then the probability that mike is in lane one is 1/11 and the probability that Stan and Steve will be behind him would be 1/121

So the probability would be 1/1331 or 0.075% chance

What is the slope-intercept equation of the line below?



10 minutes left

Answers

Answer:

y=-3x+4

Step-by-step explanation:

The y intercept is 4 because the line crosses the y axis at the 4 tic mark

The slope will be -3 because the y decreases by 3 every time the x incerases by 1

y=mx+b

y=-3x+4

Rewrite the expression as the algebraic expression in x
Sin
(tan^-1(x))

Answers

9514 1404 393

Answer:

  sin(tan^-1(x)) = x/√(x² +1)

Step-by-step explanation:

We know that for an angle in a right triangle...

  Tan = Opposite/Adjacent

and

  Sin = Opposite/Hypotenuse

so we can let Opposite = x and Adjacent = 1. The Pythagorean theorem tells us that ...

  Hypotenuse² = Opposite² + Adjacent² = x² +1

Then the sine of the angle is ...

  sin(tan^-1(x)) = x/√(x² +1)

n a history class there are 88 history majors and 88 non-history majors. 44 students are randomly selected to present a topic. What is the probability that at least 22 of the 44 students selected are non-history majors

Answers

Answer:

0.5675 = 56.75% probability that at least 22 of the 44 students selected are non-history majors.

Step-by-step explanation:

The students are chosen without replacement from the sample, which means that the hypergeometric distribution is used to solve this question. We are working also with a sample with more than 10 history majors and 10 non-history majors, which mean that the normal approximation can be used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Approximation:

We have to use the mean and the standard deviation of the hypergeometric distribution, that is:

[tex]\mu = \frac{nk}{N}[/tex]

[tex]\sigma = \sqrt{\frac{nk(N-k)(N-n)}{N^2(N-1)}}[/tex]

In this question:

88 + 88 = 176 students, which means that [tex]N = 176[/tex]

88 non-history majors, which means that [tex]k = 88[/tex]

44 students are selected, which means that [tex]n = 44[/tex]

Mean and standard deviation:

[tex]\mu = \frac{44*88}{176} = 22[/tex]

[tex]\sigma = \sqrt{\frac{44*88*(176-88)*(176-44)}{176^2(175-1)}} = 2.88[/tex]

What is the probability that at least 22 of the 44 students selected are non-history majors?

Using continuity correction, as the hypergeometric distribution is discrete and the normal is continuous, this is [tex]P(X \geq 22 - 0.5) = P(X \geq 21.5)[/tex], which is 1 subtracted by the p-value of Z when X = 21.5. So

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

[tex]Z = \frac{21.5 - 22}{2.88}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a p-value of 0.4325

1 - 0.4325 = 0.5675

0.5675 = 56.75% probability that at least 22 of the 44 students selected are non-history majors.

A certificate of deposit offers a nominal interest rate of 2.5 percent annually.
If inflation is 1 percent, what is the real rate of return?

Answers

To solve this question, the real rate of return formula is used, and we apply the data given in the exercise into the formula to find the real rate of return.

Formula for the real rate of return:

[tex]R = \frac{1 + N}{1 + i} - 1[/tex]

In which N is the nomial rate and i is the inflation rate, as decimals.

A certificate of deposit offers a nominal interest rate of 2.5 percent annually.

This means that [tex]N = 0.025[/tex]

Inflation is 1 percent

This means that [tex]i = 0.01[/tex]

What is the real rate of return:

Now we apply the formula:

[tex]R = \frac{1 + 0.025}{1 + 0.01} - 1[/tex]

[tex]R = 1.0149 - 1[/tex]

[tex]R = 0.0149[/tex]

0.0149*100% = 1.49%

Thus, the real rate of return is of 1.49%.

For another example of a similar problem, you can check https://brainly.com/question/20164190

what is the volume of a rectangular prism with length 5cm, width 3cm and height 4cm?

Answers

Answer:

60 cm^3

Step-by-step explanation:

The equation to find the volume for a rectangular prism is length times width time height.

So just multiply 5 times 3 times 4

V=(5)(3)(4)

V=60

Answer:

60cm^3

Step-by-step explanation:

w=3cm

h=4cm

l=5cm

[V=whl]

V=3×4×5=60

If the triangle above is translated two units to the right, what is the correct coordinate for A'?

Answers

Answer: 0, 5

Step-by-step explanation: a translation is just like sliding the object in this case a triangle/point on the triangle. so the point it is at now is -2, 5 because it is 2 to the left and 5 up. and if you go to the right 2. then you are adding 2 to the x value. so -2 +2 = 0. which is how you get 0, 5

Which expression is equivalent to:
15x + 20y
5(4x+3y)
5(3x+4y)
5y(3x + 4)​

Answers

Answer:

5(3x+4y)

Step-by-step explanation:

HELP PLEASE!

The length of a rectangle is 2V5. The width of the same rectangle is 5V5. Find the perimeter and area of the rectangle.

Answers

Answers:

[tex]\text{Perimeter} = 14\sqrt{5}\\\\\text{Area} = 50\\\\[/tex]

=======================================================

Work Shown:

[tex]L = 2\sqrt{5} = \text{length}[/tex]

[tex]W = 5\sqrt{5} = \text{width}[/tex]

P = perimeter

[tex]P = 2*(L+W)\\\\P = 2*(2\sqrt{5}+5\sqrt{5})\\\\P = 2*(7\sqrt{5})\\\\P = 14\sqrt{5}\\\\[/tex]

-------------

A = area

[tex]A = L*W\\\\A = (2\sqrt{5})*(5\sqrt{5})\\\\A = (2*5)(\sqrt{5}*\sqrt{5})\\\\A = 10\sqrt{5*5}\\\\A = 10\sqrt{25}\\\\A = 10*5\\\\A = 50\\\\[/tex]

Area=5rad5 times 2rad5 equals 50 Bc rad 5 times rad 5 is rad 25 or 5 and 2 timers 5 is ten so now it is 5 times 10=50

Anna earned $9 an hour babysitting. She wants
to buy a 16 GB iPod that is $120. Anna has
saved $45 so far. How many more hours of
babysitting does she need to do to earn the rest
to purchase the iPod

Answers

Answer:

8.33 hours

Step-by-step explanation:

120-45 = 75

75 ÷ 9 = 8.33

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