Estimating Using Compatible Numbers
You purchase 3 items for $4.23. About how much did you spend?

Answers

Answer 1

9514 1404 393

Answer:

  about $12

Step-by-step explanation:

For estimating purposes, you often want to round numbers to 1 or 2 significant digits. The price $4.23 can be rounded to $4. Then 3 such items will cost about ...

  3×$4 = $12

You spent about $12.

_____

Additional comments

Along with an estimate, you often want to estimate the error in the estimate. Here, a first approximation of the error is that it is 3 × $0.20 too low. That is, the estimate of spending will be closer if we revise it upward by $0.60 to $12.60.

We know that even that estimate is low by $0.03 on each of the 3 items, so a better approximation of the spending is $12.60 +0.09 = $12.69.

This has accounted for all of the errors, so the actual spending was $12.69.


Related Questions

the smallest three digit whole number ending with 9 ​

Answers

Answer:

769

Step-by-step explanation:

Answer:

109

Step-by-step explanation:

Write an equation for the graph below which represents a logarithmic function f with base 2 or 3 translated and/or reflected. X=3 (7,1) (5,0) (4,-1)

Answers

Answer:

The answer is "[tex]\log(x-3)- \log(2)[/tex]"

Step-by-step explanation:

The asymptote is that when the group is 0 within. Let's all assume that log base 2 is: Log(ax-b); a position mostly online also they know. Let's use this (5,0)  and log(5a-b)=0; they get out of it 5a-b=1; now that the results for a and b must be known. So we can say unless the asymptote is x=3, 3a-b=0; then we have the equations system, and with a and b we can solve

[tex]\to b=5a-1 \\\\ \therefore\\\\\to 3a-(5a-1)=0\\\\\to 3a-5a+1=0\\\\\to -2a+1=0\\\\\to -2a=-1\\\\\to a=\frac{1}{2} \ and\ b= \frac{3}{2}[/tex]

[tex]\to \log(\frac{x}{2}-\frac{3}{2})\\\\\to \log(\frac{(x-3)}{2})\\\\\to \log(x-3)- \log(2)[/tex]

Help plz:))) I’ll mark u brainliest
10 ez POINTS

Answers

I think is 24, 27, 2.
I hope is correct.

Question 3
The distribution of random variable R has mean 10 and standard deviation 4. The distribution of random variable S
has mean 7 and standard deviation 3. If Rand S are independent, what are the mean and standard deviation of the
distribution of R-S?
Mean 3 and standard deviation 1
B
Mean 3 and standard deviation 5
Mean 3 and standard deviation 7
mong
D
Mean 17 and standard deviation 1
E
Mean 17 and standard deviation 5

Answers

Answer:

(B) Mean 3 and standard deviation 5

Step-by-step explanation:

Property of mean

The mean of the sum or difference of two random variable R and S is the sum of their means.

μ (R-S) = μ(R) - μ(S)

μ(R-S) = 10 - 7 = 3

Property of standard deviation

The variance of Independent variable R and S is is the sum of their variances. Even when we subtract two random variables, we still add their variances; subtracting two variables increases the overall variability in the outcomes.

σ^2(R-S) = σ^2 (R) + σ^2(S)

            = 16 + 9           ( variance = (standard deviation)^2  )

             = 25

σ(R-S)  = 5

The mean of the  distribution of R-S is 3 and the standard deviation of the  distribution of R-S is 5 and this can be determined by using the given data.

Given :

The distribution of random variable R has a mean of 10 and a standard deviation of 4. The distribution of random variable S  has mean 7 and standard deviation 3.

The following steps can be used in order to determine the mean and standard deviation of the  distribution of R-S:

Step 1 - The mean can be determined by using the below formula.

[tex]\rm \mu(R-S) = \mu(R)-\mu(S)[/tex]

Step 2 - Substitute the values of [tex]\rm \mu(R)[/tex] and [tex]\rm \mu(S)[/tex] in the above expression.

[tex]\rm \mu(R-S) = 10-7[/tex]

[tex]\rm \mu(R-S) = 3[/tex]

Step 3 - The standard deviation can be determined by using the below formula.

[tex]\rm \sigma^2(R-S) = \sigma^2(R)+\sigma^2(S)[/tex]

Step 4 - Substitute the values of [tex]\rm \sigma(R)[/tex] and [tex]\rm \sigma(S)[/tex] in the above expression.

[tex]\rm \sigma^2(R-S) = 16+9[/tex]

[tex]\rm \sigma(R-S) = 5[/tex]

Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/12402189

The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=34(3)−x6, find the revenue if 6 units are sold. Round to two decimal places.

Answers

rawr jshsjsjsjshhsjsjsj

I’m so confused, please help

Answers

I think is D

PLEASE MARK ME AS BRAINLIEST

please answer this. i’ve asked 3 questions of this same thing bc people don’t even answer them, i’ll give brainliest to whoever answers correctly. i’m failing and really need this answered

1. A wave has a wavelength of 5 m and a frequency of 2 Hz. At what speed/velocity does the
wave travel?

2. The speed/velocity of a wave on a guitar string is 100m/s and the frequency is 1,000 Hz. What
is the wavelength of the wave?

3. If the speed/velocity of a wave is 25 m/s and the wavelength is 5 m, what is the frequency of
this wave?

Answers

We will be using the formula: Speed = Wavelength * Frequency

1. Given:  Wavelength = 5 m     and     Frequency = 2 Hz

Speed of the wave = Wavelength * Frequency

Speed of the wave = 5 * 2

Speed of the wave = 10 m/s

__________________________________________________________

2. Given: Speed of the wave = 100 m/s   and    Frequency= 1000 Hz

Wavelength = Speed / Frequency

Wavelength = 100 / 1000

Wavelength = 0.1 m

__________________________________________________________

3. Given: Speed of the Wave = 25 m/s           Wavelength = 5 m

Frequency = Speed / Wavelength

Frequency = 25 / 5

Frequency = 5 Hz

What does the point (0, 0) mean in this situation?

Answers

It’s undefined because division by zero is an undefined operation.

Answer:

at 0 hours, 0 miles were traveled

Hermina cut a 10 by 15 piece of cardboard down the diagonal


What is the c of the cut, in inches??

Answers

Answer:

[tex]\sqrt{325}[/tex]

Step-by-step explanation:

This is because you use Pythagorean theorem. a^2 + b^2 = c^2.

Are the ratios 20:16 and 10:8 equivalent?​

Answers

No they are not equivalent

Write an expression:

The temperature today was 10 degrees colder then twice(times two) yesterday’s temperature “t”

Answers

Answer:   T=10-2 x y

Step-by-step explanation: that is the reason

2t minus 10, you multiply t by 2 then subtract ten from that

Every 100 pounds on Earth are equivalent to 38 pounds on Mars.A boy weighs 60 pounds on Earth how much would he weigh on Mars

Answers

Answer:

22.8 pounds

Step-by-step explanation:

The answer is 22.8 because when you divide 100 by 38 you get 2.63157894737 and if you divide 60 by 2.63157894737 you get 22.8

If you want to buy an item in a store that costs $9 and is on sale for 20% off, then how much would the item actually cost you after the discount? Round to the nearest cent.

Answers

Answer:

Step-by-step explanation:

20% off is $1.80

9-1.8

the cost would be $7.20

Matthew is competing in a race. He runs 20 kilometers in 2 hours. At the rate given how many kilometers can Matthew run in 1 hour?

Answers

Answer:

Mattew would run 10 kilometers in 1 hour

Step-by-step explanation:

20/2  = 10 Kilometers

2/2 = 1 hour

A car travels 180 miles in 3 hours, which is a rate of miles per hour.

Answers

Answer:

540

Step-by-step explanation:

multiply 180 by 3

The sum of three non-negative numbers is 36, and one of the numbers is twice one of the other numbers. What is the maximum value of the product of these three numbers?

Answers

Answer: 726.

Step-by-step explanation:

we have:

a, b and c non-negative numbers.

we know that:

a + b + c = 36.

(i also assume that the numbers are whole numbers)

and "one of the numbers is twice one of the others"

Then we can write:

a = 2*b

replacing that in the above equation, we get:

2*b + b + c = 36

3*b + c = 36.

Then the product between the 3 numbers will be:

P = a*b*c = (2*b)*b*c = 2*b^2*c.

Because we have b squared in the product, we want to find the maximum possible value of b, such that:

3*b + c = 36.

3*b = 36 - c

We know that 36 is a multiple of 3, and also is 3*b.

Then 36 - c must also be a multiple of 3, this means that c must be a multiple of 3 (and the smallest possible), which is 3.

Then if we have:

3*b = 36 - 3 = 33

3*b = 33

b = 33/3 = 11.

The prodct will be:

P = 2*(11^2)*3 = 726.

The maximum value of the product of the three given numbers is;

P_max  = 726

Let the three non-negative numbers be x, y and z

We are told that they sum up to 36.

Thus;

x + y + z = 36.

Now, one of the numbers is twice one of the other numbers.

Thus;

x = 2y

Then, we now have;

2y + y + z = 36

⇒ 3y + z = 36.

We want to find the maximum value of the  product between the 3 numbers. Let's say their product is P, then we have;

P = xyz

P = 2y²z

Since y is squared here, then let's make 3y the subject in 3y + z = 36.

3y + z = 36.

3y = 36 - z

since 3 is multiplied by y, it means that  36 - z be a multiple of 3 and we can infer that z must also be a multiple of 3. If we take z = 3, we have;

Then if we have:

3y = 36 - 3

3y = 33

y = 33/3

y = 11.

Since Product is P = 2y²z, then we have;

P = 2 × 11² × 3

P_max  = 726

Read more at; https://brainly.com/question/10385705

Is d=2t portional or non portional?

Answers

Yes it is portional

An urn contains 17 white balls and 18 red balls. A sample of four balls is selected at random from the urn. What is the probability that the sample contains two white balls and two red ones?

a. 0.0286
b. 0.2286
c. 0.3974
d. 0.0944
e. 0.0442
f. None of the above.

Answers

Answer:

c. 0.3974

Step-by-step explanation:

Given;

number of white balls, W = 17

number of red balls, R = 18

Total number of balls, T = 35

The number of ways the event will occur is given by

= P(2 whites) and P(2 reds)

= P(2whites) x P(2 reds)

= 17C2 x 18C2

= 136 x 153

= 20,808

The total number of possible outcome

= 35C4

= 52,360

The probability = 20,808 / 52,360

                          = 0.3974

The correct option is "C"

Probability that the sample contains two white balls and two red ones is equal to 0.3974.

So, option c. is correct.

Permutations and combinations

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim.

Number of white balls [tex]=\boldsymbol{17}[/tex]

Number of red balls [tex]=\boldsymbol{18}[/tex]

Total number of balls [tex]=\boldsymbol{35}[/tex]

Probability that the sample contains two white balls and two red ones  

[tex]=\frac{\binom{17}{2}\binom{18}{2}}{\binom{35}{4}}[/tex]

[tex]=\frac{\frac{17!}{15!2!}\frac{18!}{16!2!}}{\binom{35!}{31!4!}}[/tex]

[tex]=\boldsymbol{0.3974}[/tex]

So, option c. is correct.

Find more information about combinations here:

https://brainly.com/question/815369?referrer=searchResults

Find two postive numbers such that the ratio of the two numbers is 5 to 3 and the product of the two numbers is 540.

Answers

Answer:

337.5 and also 202.5

Step-by-step explanation:

do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.

Answer:

[tex]lets \: number \: to \: be \: 5x \: and \: 3x \\ a.c \: \: \: \: \: (5x) \times (3x) = 540 \\ 15 {x}^{2} = 540 \\ {x}^{2} = \frac{540}{15} \\ {x}^{2} = 36 \\ x = \sqrt{36} \\ x = 6 \\ so \: number \: will \: be \\ 5x = 5 \times 6 = 30 \\ 3x = 3 \times 6 = 18 \\ [/tex]mark it as a Breallent answer and like

Solve for r. r + 62 ÷ 2 =1​

Answers

Hey there!

“r + 62 ÷ 2 = 1”

Combine your like terms

(62 ÷ 2)

62 ÷ 2 = 31

New equation

r + 31 = 1

SUBTRACT by 31

Like: r + 31 - 31 = 1 - 31

Cancel out: 31 - 31 because that gives you 0

Keep: 1 - 31 because that gives you the value of “r”

1 - 31 = -30

Therefore, your answer is: r = -30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

what is 656x106 rounded

Answers

Answer:

69536

LOLLLLLLLLLL

Answer:

69536

Step-by-step explanation: and rounded to the nearest what

PLEASE HELP!!! The half life of carbon-11 is 20 minutes. A sample of carbon-11 has
25mCi. How much is left after 1 hour?*
A)12.5mci
B)10.2mCi
C)2.25mci
D)3.125mci

Answers

Answer:

3.125 (D)

Step-by-step explanation:

1 is 1/2

25-1 4

20x3 = 60mins

3.125 would be took away results end with what you have took for this equation

I need help answering the second one. please i really need to pass my final and this is extra credit.
Karl is a basketball player whose height is 76in. His team’s mean height is 79.5 in.
a) What is Karl’s z-score?
b) What percent of players in the team are shorter than Karl?

Answers

It’s A because I did this before thanks for points hdhjjsdjdj

Craig likes to collect vinyl records. Last year he had 10 records in his collection. Now he has 12 records. What is the percent increase of his collection.

Please answer with explanation.

Answers

Answer:

Craig's collection increased by 20%.

Step-by-step explanation:

Original amount: 10

New amount: 12

To find the percent increase, we first need to find how much Craig's record collection increased by. To do this, subtract the old amount from the new amount:

12 - 10 = 2

The amount his collection increased by is 2. To find the per cent increase, divide 2 by the original amount of records:

[tex]\frac{2}{10}=\frac{1}{5}= 0.20[/tex]

Convert the decimal into a percentage:

0.20 * 100 = 20%

The percent increase of Craig's record collection is 20%.

Hii, can someone please help? I'm giving BRAINLIEST

Answers

Answer:

It would Be C I hoped this helped

The different kinds of beads that Casey is
using to make purses come in packages of
3 and 9. What is the least number of each
kind of bead that Casey can buy to have an
equal number of each of the different kinds
of beads?

Answers

Answer:

Casey can buy 3 packages with 3 beads and one package with 9 beads to have the same number of beads of each kind.

Step-by-step explanation:

Given that:

The beads come in packages of 3 and 9.

To calculate the least number of beads that Casey can have, we will find the least common multiple of both packages.

Package of three = 3, 6, 9, 12, 15

Package of nine = 9, 18, 27, 36

The least common multiple of 3 and 9 is 9.

Hence,

Casey can buy 3 packages with 3 beads and one package with 9 beads to have the same number of beads of each kind.

Anyone wanna help me with this‍‍

Answers

Question 1 Answer: both of them equal 20

Step-by-step explanation: when you add 9+3 it equals 12 then you add 8 and that makes 20. 9+8 also equals 17 then you add 3 which equals 20

Identify the type of slope each line has. Place your answer under each graph.

Answers

-3, 0, 1/2, undefined

if it is going down its negative if it goes up its positive

first one you can tell because each one to the right it goes 3 down

2nd is 0 because there is no slope to it, last one is undefined because it cant be all the numbers when x is -4

Please help me help me!! PLS

Answers

Its 13 ik this because i just took the test!

Answer:

m

Step-by-step explanation:

Helpppp ! Will give brainlist!

Answers

So it gives you the answer for the first one

1 and 5 for the first box because it says he visited 5 in his first month
Then it says he visited 2 more each following month meaning each time it’s going to go up 2

So the box should look like

1-5
2-7
3-9

Then we have to figure out what goes in the x when y equals 23
So you can just go up by each month until one reaches 23 and it will be 10

So the final part of the box should say

10-23


The amount of parks is proportional to the amount of months.

Answer:

5 parks

7 parks

9 parks

10 months

Step-by-step explanation:

1 month: 5 state parks

2 months:5+2=7 state parks

3 months:7+2=9 state parks

x months : 23 state parks

23-9 state parks = 14 state parks

14/2=7 it means 7 months more

3+7=10 months

10 months : 23 state parks

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