Ten people ordered calculators. The least expensive was $29.95 and the most expensive was $89.95. Half of them ordered a $69.95 calculator. Select the best
estimate of the amount spent on calculators.
$490
$660
$550
$805
Choose the best estimate for the total amount spent for all 10 calculators.
O A. $805
OB. $490
OC. $550
OD. $660

Answers

Answer 1

Answer:

310

Step-by-step explanation:

least money 19.95

Most money = 39.95

Mean = (least+most)/2 = 29.95

money for half people = 5 × (mean) 29.95

Amount of money for half people = 149.75

Lower limit for amount of the other half = 19.95 × 5 = 99.75

The Upper limit for the amount of the other half = 39.95 × 5 = 199.75

Mean = (99.75 + 199.75)/2 = 149.75

Total money spent (Mean) = 149.75 + 149.75 = 299.5

The Best estimate is B) 310 because it is closest to 295.5

Answer 2

A mean is an arithmetic average of a set of observations. The correct option is D.

What is Mean?

A mean is an arithmetic average of a set of observations. It is given by the formula,

Mean = (Sum of observations)/Number of observations

To make the calculations easy let's round off the given numbers. Therefore, we can write the values as,

Least expensive A=30Most expensive B=90half of order C=70

Now, the mean and the money for half the people can be written as,

Mean = (least + most)/2 = 60

money for half people = 5 × 60

Therefore, the amount of money for half people will be,

Amount of money for half people = 300

Lower limit for amount of the other half = 29.95 × 5 = 149.5

The Upper limit for the amount of the other half = 89.95 × 5 = 449.75

Mean = (149.75 + 449.75)/2 = 299.6

Total money spent (Mean) = 299.6 + 299.6 = 599.25

Hence, The Best estimate is $660. This is because it is closest to 599.25.

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Related Questions

Enter the answer to the problem below, using the correct number of
significant figures.
125.6.1

Answers

Answer:

126

Step-by-step explanation:

because after point no. greater than 5 will definitely

be 1 no. more than that

Solve the compound inequality: 3x + 6 < 12 AND 6x + 24 < 12

Answers

Answer:

[tex]x < -2[/tex].

Step-by-step explanation:

It is given that [tex]3x + 6 < 12[/tex] and [tex]6x + 24 < 12[/tex].

For [tex]3x + 6 < 12[/tex],

[tex]3x < 12-6[/tex]

[tex]3x < 6[/tex]

Divide both sides by 2.

[tex]x < 2[/tex]      ...(i)

For [tex]6x + 24 < 12[/tex],

[tex]6x< 12-24[/tex]

[tex]6x< -12[/tex]

Divide both sides by 6.

[tex]x < -2[/tex]      ...(ii)

From (i) and (ii), we get

[tex]x < 2\text{ and }x<-2[/tex]

[tex]\Rightarrow x<-2[/tex]

Therefore, the required answer is [tex]x < -2[/tex].

The entire collection of individuals about which information is sought is called a

Answers

Answer: u may want to look at your vocabulary

Step-by-step explanation:

anyways: The entire collection of individuals about which information is being sought is called a. population.

a windshield wiper blade is 17 in Long. Calculate the area come by the blade as it rotates through an angle of 138 degrees.​

Answers

Answer:  348 in²

Step-by-step explanation:

Area of a circle is πr².  Area of a sector is the same formula but only for the section so you need to determine what fraction of the circle it is.  You do this by dividing by 360° if degrees are provided or by 2π if radians are given.

[tex]A=\pi r^2 \bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given: r = 17

          Ф = 138°

[tex]A=\pi(17)^2\bigg(\dfrac{138^o}{360^o}\bigg)\\\\\\.\quad =289\pi \bigg(\dfrac{23}{60}\bigg)\\\\\\.\quad =\dfrac{6647\pi}{60}\pi\\\\\\.\quad =347.9\ in^2[/tex]

what number increase by 25 become s 150


Answers

150-25=125
The number is 125
Hope you get it

Answer:

125

Step-by-step explanation:

n+25 = 150.

150-25= 125.

n must equal 125.

answer is 125.

label the midpoint between 6.54 and 6.55​

Answers

6.545, since it is the midpoint of 6.54 and 6.55.

Hopefully it helps!

Please mark brainliest :)

The mid - point between the numbers is 6.545.

We have two decimal numbers → 6.54 and 6.55​

We have to determine their mid - point.

You have two numbers -  'x' and 'y'. Find the mid - point between these two numbers.

The midpoint (n) between these two numbers will be -

[tex]$n=\frac{x+y}{2}[/tex]

According to the question, we have -

Number 1 → 6.54

Number 2 → 6.55

Assume the mid - point be n. Therefore -

n = [tex]\frac{6.54+6.55}{2}[/tex] = 6.545

Hence, the mid - point between the numbers is 6.545.

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Think about your previous math courses. Identify one tope that you learned about which
you excelled​

Answers

The answer for this question I don’t think could be answered by anyone but yourself. To help you figure this out, just simply think about all of the math courses you’ve had previous to your current course and think about which course you did best in.

find the indicated angle. Round your answer to the nearest tenth. Part 2. Show work please​

Answers

Answer:  5) 72.6°      6) 68.7°       7) 37.3°        8) 81.5°

Step-by-step explanation:

Law of Cosines:    a² = b² + c² - 2bc · cos A

                              b² = a² + c² - 2ac · cos B

                              c² = a² + b² - 2ab · cos C

5) a = 27, b = 26, c = 20, A = ???

   a² = b² + c² - 2bc · cos A

27² = 26² + 20² - 2(26)(20) · cos A

729 = 676 + 400 - 1040 cos A

729 = 1076 - 1040 cos A

-311 = -1040 cos A

[tex]\dfrac{311}{1040}=\cos A\\\\\cos^{-1}\bigg(\dfrac{311}{1040}\bigg)=A[/tex]

72.6° = A

6) a = 11, b = 13, c = 12, B = ???

   b² = a² + c² - 2ac · cos B

13² = 11² + 12² - 2(11)(12) · cos B

169 = 121 + 144 - 264 cos B

169 = 265 - 264 cos B

-96 = -264 cos B

[tex]\dfrac{96}{264}=\cos B\\\\\cos^{-1}\bigg(\dfrac{96}{264}\bigg)=B[/tex]

68.7° = B

7) a = 19.2, b = 11.7, c = 16.5, B = ???

   b² = a² + c² - 2ac · cos B

11.7² = 19.2² + 16.5² - 2(19.2)(16.5) · cos B

136.89 = 368.64 + 272.25 - 633.6 cos B

136.89 = 640.89 - 633.6 cos B

-504 = -633.6 cos B

[tex]\dfrac{504}{633.6}=\cos B\\\\\cos^{-1}\bigg(\dfrac{504}{633.6}\bigg)=B[/tex]

37.3° = B

8) a = 8.8, b = 12.4, c = 14.1, C = ???

   c² = a² + b² - 2ab · cos C

14.1² = 8.8² + 12.4² - 2(8.8)(12.4) · cos C

198.81 = 77.44 + 153.76 - 218.24 cos C

198.81 = 231.2 - 218.24 cos C

-32.39 = -218.24 cos C

[tex]\dfrac{32.39}{218.24}=\cos C\\\\\cos^{-1}\bigg(\dfrac{32.39}{218.24}\bigg)=C[/tex]

81.5° = C

0.456(456 repeating) as a fraction

Answers

Answer:

Try 57/125

Step-by-step explanation:

Step 1: 0.456 = 456⁄1000

Step 2: Simplify 456⁄1000 = 57⁄125

Answer:

Step 1: 0.456 = 456⁄1000

Step 2: Simplify 456⁄1000 = 57⁄125

Hope this helps! (づ ̄3 ̄)づ╭❤~

What is the answer for 10-6(5-2y)

Answers

Answer:

-20 + 12y

Step-by-step explanation:

Equation: 10 - 6(5 - 2y)

Step 1:

10 - 30 + 12y          Multiply (5 - 2y) by -6 (distributive property)

Step 2:

-20 + 12y            Subtract 10 by 30 (10 - 30 = -20)

Answer:

[tex]12y-20[/tex]

Step-by-step explanation:

First, we need to distribute.

[tex]= 10+(-6)(5)+(-6)(-2y)= 10+-30+12y[/tex]

Now, we need to combine these terms.

[tex]=10+-30+12y=(12y)+(10+-30)=12y+-20[/tex]

The answer is

[tex]12y-20[/tex]

The length of a rectangle is 6 meters more than three times the width. The perimeter of the rectangle is 44 meters. What are the dimensions of the rectangle?

Answers

Answer:

width=4

length=18

Step-by-step explanation:

length-6=3width

length=3width+6

also:

perimeter of the rectangle=2(length+width)

44/2=width+length

22=width+length

now put the length we found in the 1st equation, in 22=width+length

=>22=width+3width+6

22-6=4width

width=4

now do the exact same thing with one of these equations:

22=width+length

length=3width+6

I'd do it with the 1st one:

22=4+length

22-4= length

length=18

Find 7/8 divided by 1/3

Answers

fraction: 2 5/8

Decimal 2.625

Dimensional analysis. How many years of your life will you be sleep if you live 3.95 x 10^7 minutes and average 8 hours sleep/night.

Answers

Answer:

The total years of sleep = 25.05 years

Step-by-step explanation:

Given total time in minutes = 3.95 x 10^7

Now convert the total time in hours = (3.95 x 10^7) / 60 = 658333.333 hours

Now covert the total hours into the day. Since a day has 24 hours so divide the total hours by 24 = 658333.333 / 24 = 27430.5555 days.

A person sleeps 8 hours a day, so total hours of sleep = 8 × a number of days.

A person sleeps 8 hours a day, so total hours of sleep = 8 × 27430.5555 days.

Thus, total sleeping hours = 219444.444

Now convert it into a number of years.

Convert total hours into the day and then years.

Number of days = 219444.444 / 24 = 9143.5185 days.

Now covert the total days in to years = 9143.5185 / 365 = 25.05 years

Tammy made a shirt using
1/4 yards of green fabric and
1/3 yards of red fabric. How many more yards of red fabric did Tammy use?
Write your answer as a fraction in simplest form.

Answers

1/12 is your answer! :)

The number of more yards of red fabric Tammy used will be 1/12 yards.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Tammy made a shirt using 1/4 yards of green fabric and 1/3 yards of red fabric.

Then the number of more yards of red fabric Tammy used will be

⇒ 1/3 - 1/4

⇒ (4 - 3) / 12

⇒ 1 / 12

The number of more yards of red fabric Tammy used will be 1/12 yards.

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Find an equation of the line passing through the given points. Use function notation to write the equation. ​(​1,​-1) and ​(2​,2​) f(x) = ? PLEASE HELP!

Answers

Answer:

Good luck!

Step-by-step explanation:

Roots = 1, 2

Sum of roots = 3

Product of roots = 2

Use f(x) = ax^2 - bx + c

Therefore, f(x) = x^2 - 3x + 2

x+12=7 x= needing help with this

Answers

Answer:

x=−5

Step-by-step explanation:

x+12=7

Step 1: Subtract 12 from both sides.

x+12−12=7−12

x=−5

Answer:

x = -5

Step-by-step explanation:

We subtract 12 on both sides.

After that, we got x = -5

And we're done ^^

Construct the perpendicular bisector for the segment in the following figure. What process did you use? Explain.

Answers

Answer:

Perpendicular bisector for the given segment AB is shown below.

Step-by-step explanation:

Construction steps for the perpendicular bisector for the given segment AB are:

1. Open your compass more than half of the distance between end points of the given segment, i.e., A and B.

2. Place the compass on point A and mark two arc on each side of line segment AB.

3. Place the compass on point B and mark two arc on each side of line segment AB, which intersect the previous arcs.

4. Arcs meet at two points. Mark them C and D.

5. Draw the line between C and D.

The perpendicular bisector for the given segment AB is shown below.

David bought a baseball card for $40. the value of the card increased by 25%. what is the new value of the card?

Answers

Answer:

65 i think

Step-by-step explanation:

Answer:

65 Im preety sure

Step-by-step explanation:

³√1,000,000 how do I solve this expression?

Answers

Answer:

100

Step-by-step explanation:

try to write it exponentially

³√10⁶

(10⁶)^⅓

(10)^6/3

(10)^2

10x10 = 100


Apply the distributive property to the expression 3(2 + x).

Answers

3(2+x)
3x2=6
3 x X =3x
So 3x+6
3(2+ x)
3x2=6
3 x X = 3x
So 3x+6

5 4th power times 5 to the 2 power

Answers

Answer:

15625

Step-by-step explanation:

Answer:

(5⁴)(5²) or 15625

Step-by-step explanation:

When looking at a problem like this you need to look for keywords such as "Power" and "times"

5 to the 4th power looks like this 5⁴

And 5 to the 2nd power looks like this

Making this (5⁴)(5²)

But if you want the answer after that the answer is 15625

Help please no one helps me

Answers

Answer:

The answer would be B because Ms. Shah's class planted four more trees so you would subtract 36 by 4 to get your answer

which expression is equivalent to x^6 - 5

Answers

Answer:

there are no options given

Step-by-step explanation:

the set of multiples of 8 which are greater than 20 but less than 40​

Answers

Answer:the answer would be i do believe 32

A quality control manager randomly selects 40 bottles of orange juice that were filled on june 12 to assess the calibration of of the filling machine.What is the population in the study?a. bottles of orange juice produced in the plantb. the 40 bottles of orange juice produced in the plantc. the 40 bottles of orange juice produced in the plant on june 12d. bottles of orange juice produced in the plant on june 12

Answers

Answer:

Option D - bottles of orange juice produced in the plant on june 12

Step-by-step explanation:

The population describes the data from which the sample size is gotten.

Now, we are told that A quality control manager randomly selects 40 bottles of orange juice that were filled on june 12 to assess the calibration of of the filling machine.

This means that the sample size is 40 bottles. The population from which this sample is gotten is therefore:

bottles of orange juice that were filled on june 12.

Option D is correct

How does the area of the scale drawing where 1 centimeter represents 10 miles compare to the area of a the drawing where 1 centimeter represents 30 miles? Area if 1 cm= 10 mi: square miles Area if 1 cm = 30 mi: square miles The area would be times as great.

Answers

Answer:

100 square miles900 square miles9 times as great

Step-by-step explanation:

It seems rather obvious that ...

  (1 cm)^2 ⇒ (10 mi)^2 = 100 mi^2 . . . on the first drawing

  (1 cm)^2 ⇒ (30 mi)^2 = 900 mi^2 . . . on the second drawing

The area on the second drawing is 900/100 = 9 times as great.

_____

These are the areas represented by 1 square cm on the scale drawing. If the drawing is larger, then the represented area is correspondingly larger. The ratio of represented areas is still 9 times for drawings of the same size.

Please help. Don’t understand this math problem!!!

Answers

Answer:

1). Option (C)

2). Option (A). degree of 3 = 0

Step-by-step explanation:

A polynomial having one term is called 'Monomial' in algebraic terms.

3 is a number that is a polynomial with a single term.

Therefore, the given expression is a polynomial.

Hence Option (C) is the answer.

3 can be written as 3x⁰ (Since x⁰ = 1)

Therefore, degree of the polynomial is 0.

Option (A). degree of the polynomial = 0

The temperature in a town is 28.1 during the day and -6.5 °F at night Find the difference in the temperatures

Answers

Answer:

28.1 - (-6.5) = 34.6

Step-by-step explanation:

Subtracting a negative is the same as adding a positive. So, 28.1 minus negative 6.5 is same as 28.1 plus 6.5 and you get 34.6

Answer:

yeah it is 34.6

Step-by-step explanation:

Determine whether the equation defines y as a function of x.
x+y=9 and x^2+y^2=1 and x=y^2

Answers

Answer:

Function: [tex]x+y=9[/tex]

Not Function: [tex]x^2+y^2=1[/tex]    and     [tex]x=y^2[/tex]

Step-by-step explanation:

Given

[tex]x+y=9[/tex]

[tex]x^2+y^2=1[/tex]

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

Required

Determine if [tex]y[/tex] is a function of [tex]x[/tex]

Solving x+y=9

[tex]x+y=9[/tex]

Make y the subject of formula

[tex]y = 9 - x[/tex]

Hence; y is a function of x

Solving [tex]x^2+y^2=1[/tex]

[tex]x^2+y^2=1[/tex]

Subtract x² from both sides

[tex]y^2=1 - x^2[/tex]

Square root of both sides

[tex]y =\± \sqrt{1 - x^2}[/tex]

This implies that

[tex]y =\sqrt{1 - x^2}[/tex]     or     [tex]y =-\sqrt{1 - x^2}[/tex]

Because [tex]y[/tex] can be any of those two expressions, it is not a function.

Solving [tex]x=y^2[/tex]

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

Reorder

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

Take square roots

[tex]y = \±\sqrt{x}[/tex]

This implies that

[tex]y = \sqrt{x}[/tex]      or        [tex]y = -\sqrt{x}[/tex]

Because [tex]y[/tex] can be any of those two expressions, it is not a function.

You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of each ingredient should you use to make 4 gallons of fruit punch?

Please help :)

Answers

Answer:

ggtr

Step-by-step explanation:

GIMME THOSE POINTS

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