Anna found a piece of sediment with a diameter of 0.977 millimeters. Write the size of Anna’s sample in expanded form without exponents

Answers

Answer 1

Answer:

The answer in the expanded form is (0.9 + 0.07 + 0.007) millimeters

Step-by-step explanation:

Here, we want to write the size of the diameter of the sediment in the expanded form without exponents

Thus, we have;

0.977 = 0.9 + 0.07 + 0.007

Answer 2

The size of Anna's sample in expanded form can be written be expanding the decimal places.

The expanded form without exponents is (0.9 + 0.07 + 0.007).

Given:

The given diameter is 0.977 millimeters.

Separate the two decimal place of given number.

[tex]0.977=0.9+0.077[/tex]

Separate the three decimal place of given number.

[tex]0.977=0.9+0.07+0.007[/tex]

The expanded form without exponents is (0.9 + 0.07 + 0.007).

Learn more about number expansion here:

https://brainly.com/question/1665479


Related Questions

Y = x Squared - 2x - 15

Answers

Answer:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y. x-intercept(s): (5,0),(−3,0)y-intercept(s): (0,−15)


If a certain sum of money can become
5 times of its principal in 10 years, then
the rate of interest is​

Answers

So, you are asking at what interest rate will a sum of money double in 10 years.

Question, simple interest or compounded?

Simple interest accumulated on a sum for 10 years will double in 10 years with an interest rate of 10%. Now, if you want it to accumulate five times principle, the interest rate will have to be: P(i)(10)=5P. Modifying the equation, we could get: (i)(10)=5. Alas, (.5)(10)=5. 50% is the rate for simple interest.

However, we started out with an amount, and your question asks at what rate will our original investment increase to five times the original amount. So, our equation must be modified: P(i)(10)= 5(P)-P. So, working the equation, i (10)=5(P)-P/P. 5xP-P= 4(P)/P. To restate, i(10)+P=5P. Also, i(10)=4P. Further, i =4P/10. I = .4, or 40%.

As proof, if a sum earns 4 each year for 10 years, the product is 40. If the investment earns 4 per year, at 40% interest, that investment must be 10. 40+10=50.

Compounding, we will have the following equation: P(1+i)^10=5P. P(i)^10=5.

Modified, 5=1(i)^10. \/5^10= 1.1746. Subtracting 1, results in 17.46% interest rate. (1.1746)^10=4.999. 4.999(1)=~5.

How do you find the whole in percent problems

Answers

Answer:

So essentially, you are trying to find what the overall whole is based off of a number that is the percent of the number. In order to do this, you must turn your percentage into a fraction over 100. You are going to then create the number that is a percentage of another number into a fraction over "x". Cross multiply the two fractions. Since there is an "x", count is as a zero. Now, create a fraction with the numerator as the number you just got from multiplying, and the denominator as the number you have to refer to as the percent of the whole. Since fraction is division, divide the two numbers and you get your answer. Sorry if this is so complex I tried to simplify it as best as I could

Step-by-step explanation:

Example: 8 is 80% of what number?

80% to 80/100

8 to 8/x

*cross multiply*

80x/80 = 800/80

800 divided by 80 is 10.

so, 8 is 80% percent of 10.

In the picture, what is the ratio of the number of circles to the number of squares? Select your answers from the drop-down list.

Answers

Answer:

3/6 ‍♀️

Step-by-step explanation:

the ratio of ten more than three times a number to the square of the same number is equal to ... Write an expression for the number of circles in the Nth figure.

Answer:

7 circles and 6 squares

Step-by-step explanation:

7 to 6

Which of the following is a binomial?

Answers

Answer:

B

Step-by-step explanation:

3. Write the inequality that best represents the relationship shown on this number line:

Answers

we can’t help if we don’t have context...where’s the number line.

Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon, 1 (Choice B) B 9:39:39, colon, 3 (Choice C) C 6:36:36, colon, 3 (Choice D) D 9:69:69, colon, 6 (Choice E) E 12:312:3

Answers

Answer:

A. [tex]Ratio = 3:1[/tex]

B. [tex]Ratio= 9:3[/tex]

Step-by-step explanation:

Given

[tex]Ratio= 27:9[/tex]

Required

Determine equivalent ratios:

[tex]Ratio= 27:9[/tex]

First, we simplify the ratio to the least possible

[tex]Ratio = 27/9:9/9[/tex]

[tex]Ratio = 3:1[/tex]

By comparison with the given options, we have A and B as answer.

See Proof Below

Proof: A

Compare this to the simplified ratio (given), we have:

[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]

Proof B

[tex]Ratio= 9:3[/tex]

Simplify the ratio to the least possible

[tex]Ratio= 9/3:3/3[/tex]

[tex]Ratio= 3:1[/tex]

Compare this to the simplified ratio (given), we have:

[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]

Answer:

9:3 and 3:1

Step-by-step explanation:

I just did this lesson

To find the quotient Two-fifths divided by one-fourth,
multiply Two-fifths by 4.
multiply Two-fifths by One-fourth.
multiply Five-halves by One-fourth.
multiply Five-halves by 4.

Answers

To do this, you keep the first number, so options 3 and 4 are out. You do change the operation to multiplication, but you flip the other number. In this case, that would eliminate 2, and the answer would be option 1. 2/5 times 4.


Hope this helps:)

Answer:

above is right

Step-by-step explanation:

Jodi bought a new sofa for $1,430, plus fees and insurance. She made paid off the balance in 18 months at $89 per month. How much did she pay in insurance and fees?

Answers

Answer:

$172

Step-by-step explanation:

Ok, So $1430 is the total amount PLUS fees and insurance. So 18 months at $89 per month. so do 18*89=1602. $1602-$1430=$172.

So She paid insurance and fees $172.

90% of runners in a marathon successfully completed it. 30% of these runners were men. How many total runners began the marathon if 270 men completed it?​

Answers

Answer:

1000

Step-by-step explanation:

270 is 30% of 900 total who completed.

900 is 90% of 1000

Find f’(2) for f(x)=5e^-xln(x^2+5x)

Answers

9514 1404 393

Answer:

  f'(2) ≈ −1.3508

Step-by-step explanation:

The derivative of the function is ...

  f'(x) = 5(-e^-x·ln(x^2 +5x) +e^-x·(2x +5)/(x^2 +5x))

Then ...

  f'(2) = 5e^(-2)(-ln(14) +9/14) ≈ -1.3508

Kari is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an inequality to find the possible width of her garden bed.

Answers

Answer:

ahe using 12 feet of boards and threre 8 ft of board left so i guess the with will be 4.

Step-by-step explanation:

6+6 =12 for the lenghth

4+4=8= for the with

Write 1.96 ...... as a mixed number in simplest form.

Answers

1 24/25

1.96= 196/100
196/100= 49/25

49-25= 24

1 24/25

The probabilities that stock A will rise in price is 0.42 and that stock B will rise in price is 0.58. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.14. a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.)

Answers

Answer:

0.92

Step-by-step explanation:

a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.)

P(A) = 0.42

P(B) = 0.58

P(A|B) = 0.14

Step 1

P(A|B) × P(B) = 0.14 × 0.58

= 0.0812

The probability that at least one of the stocks will rise in price

P(A) + P(B) - 0.0812

0.42 + 0.58 - 0.0812

= 1 - 0.0812

= 0.9188

Approximately to 2 decimal place = 0.92

jessie worked four more hours than Ben. They worked a total of 25 hours. How many hours did each boy workz?

Answers

Answer:

jessie: 14.5

ben: 10.5

alexis rolled a six sided die and recored the results of each roll as shown below. what is the probability of rolling a six

Answers

Answer:

1/6

Step-by-step explanation:

there is six sides so theres only a 1/6 chance it will land on 6

What’s this formula used to calculate?

Answers

Answer : definitely sampling error

maria has 15 fewer apps on her phone than orlando. if the total number of apps on both phones is 29, how many apps are on each phone

Answers

This is impossible because 15 fewer than 29 is 14 and then she would have to have negative apps.

Step-by-step explanation:

Orlando's number of apps = 22

Maria's number of apps = 7

Given,

Maria has 15 fewer apps on her phone than Orlando.

The total number of apps on both phones is 29.

We need to find out how many apps are on each phone.

What does the term mean?

- M fewer than N by 2

This means if N = P then M = P - 2

- M more than N by 2

This means if N = P then M = P + 2

We have,

Total number of apps = 29 _____(1)

Maria has 15 fewer apps on her phone than Orlando.

We can write this as:

Orlando's number of apps = O.

Now,

Maria's number of apps = O - 15

Now,

From (1)

Orlando's number of apps + Maria's number of apps = 29

O + O - 15 = 29

2O - 15 = 29

2O = 29 + 15

20 = 44

O = 44/2

0 = 22

Orlando's number of apps = 22

Maria's number of apps = 22 - 15 = 7

Thus,

Orlando's number of apps = 22

Maria's number of apps = 7

Learn more about how to find the number of apps for each person here:

https://brainly.com/question/13502950

#SPJ2

Isopropyl alcohol has a density of 0.786 grams per cubic centimeter (g/cm 3). An object has a mass of 13 grams (g) and a volume of 21 cubic centimeters (cm 3). What will happen when the object is placed into isopropyl alcohol?

Answers

Answer:

B, it will float bc it is less dence. give me brainliest ;)

Step-by-step explanation:

What is the slope of a line that is perpendicular to the line y =-1/5

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .

What is the slope of a line that is perpendicular to the line y = x + 4?

The slope of the line is

Answers

Answer:

-1

Step-by-step explanation:

Answer:

- 1/6 is correct

perpendicular refers to the opposite of 1/6 therefor being negative 1/6

Step-by-step explanation:

esearchers studying anthropometry collected body girth measurements and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically active individuals. The histogram below shows the sample distribution of heights in centimeters (Heinz, 2003). Min 147.2 Q1 163.8 Median 170.3 Mean 171.1 SD 9.4 Q3 177.8 Max 198.1 a) What is the point estimate for the average height of active individuals

Answers

hello

the question is incomplete, but based on directives from brainly i did an online search and i was able to get the complete question.

Researchers studying anthropometry collected body girth measurements

and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically

active individuals. The histogram below shows the sample distribution of heights in centimeters(a) What is the point estimate for the average height of active individuals? What about the  median?

(b) What is the point estimate for the standard deviation of the heights of active individuals?

What about the IQR?

(c) Is a person who is 1m 80cm (180 cm) tall considered unusually tall? And is a person who is  1m 55cm (155cm) considered unusually short? Explain your reasoning.

(d) The researchers take another random sample of physically active individuals. Would you

expect the mean and the standard deviation of this new sample to be the ones given above.

Explain your reasoning.

(e) The samples means obtained are point estimates for the mean height of all active individuals,

if the sample of individuals is equivalent to a simple random sample. What measure do we use  to quantify the variability of such an estimate? Compute this quantity using the data from  the original sample under the condition that the data are a simple random sample

Step-by-step explanation:

1. the point estimate for the average height is the mean = 171.1

the median of active individuals is 170.3

2. point estimate of sd = 9.4

to get IQR

[tex]Q3-Q1[/tex]

= 177.8 -163.8

= 14

3. mean +- SD

171.1 +-2(9.4)

171.1+18.8  = 189.9

171.1-18.8 = 152.3

[189.9, 152.3]

180CM is within the limits of 2SD. so a height of 180cm is not unusually tall

155 cm is within the 2sd limit so this height is not unusually short

4.

mean and sd are not same. a great probability exists that a different sample would have similar but different results if the same sample size is 507.

5.

[tex]9.4/sqrt507[/tex]

= 0.417

≈ 0.42

Compute a 99% confidence interval for the mean weight of toxic substance per gram of mold culture. State the assumption you make about the population.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  99% confidence interval is  [tex]2.4309 <  \mu <   4.9328[/tex]

Step-by-step explanation:

From the question we are told that

   The data is   3, 2,5, 3, 2, 6, 5,4.5, 3, 3, and 4

    The sample size is  n  =  11

Generally the sample mean is mathematically represented as

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

=>  [tex]\= x  =  \frac{3+ 2+5+ \cdots +4 }{11}[/tex]

=>  [tex]\= x  =  3.6818 [/tex]

Generally the sample standard deviation  is mathematically represented as

    [tex]\sigma  =  \sqrt{\frac{\sum [ x_i - \= x ] }{n} }[/tex]

=>  [tex]\sigma  =  \sqrt{\frac{[ 3 - 3.6818 ]^2 +[ 2 - 3.6818 ]^2 + \cdots + [ 4 - 3.6818 ]^2   }{11} }[/tex]

=>  [tex]\sigma  =  1.3091[/tex]

Given that the confidence interval is 99% then the level of significance is mathematically represented as

         [tex]\alpha= (100 - 99) \%[/tex]

=>      [tex]\alpha= 0.01[/tex]

Given  that the sample size is small we will making use of t distribution table  

Generally from the t distribution table the critical value  of   at a degree of freedom of  is  

   [tex]t_{\frac{\alpha }{2} , 10 } =3.16927267   [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E =  3.16927267  *  \frac{1.3091 }{\sqrt{11} }[/tex]

     [tex]E = 1.251[/tex]

Generally 99% confidence interval is mathematically represented as  

      [tex]3.6818 -1.251 <  p < 3.6818 + 1.251 [/tex]

=>    [tex]2.4309 <  \mu <   4.9328[/tex]

A product's demand per period follows a normal distribution with mean of 60 and standard deviation of 10. The lead time is 3 periods. What order-up-to level should be used to achieve at least a 90% in-stock probability?

Answers

Answer:

209

Step-by-step explanation:

Since the lead time is 2 periods at the time of order, the stocks should last for 3 periods with the 90% probability.

The z-value of 90$ in stock probability = 1.7

Mean of the demand over is (1 + 1 + 1 )  or (2+1 which is 3)

                                                           = 60 x 3 = 180

Now the standard deviation of demand over the three periods = 17.3

Therefore, the order up level would be  = 180 + ( 1.7 x 17.3 )

                                                                   = 209

(7p² + 4p+3)-(4p²- 3p+1)

Answers

Answer:

Step-by-step explanation:

(7p² + 4p+3)-(4p²- 3p+1)

opening the brackets

7p² + 4p + 3 - 4p²+ 3p - 1

By grouping the like terms,

7p² - 4p² + 4p + 3p + 3 - 1

3p² + 7p + 2

Hope this helps

plz mark as brainlest!!!!!!!

The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The cost for a sample of 9 cars, in hundreds of dollars, is provided below: 10,6,8,10,4,3.5,7.5,8,9 (a) What is the median cost of the total damage suffered for this sample of cars? (b) What is the first quartile for the above data? (c) What is the interquartile range of the above data? (d) What is the mean of the total damage suffered for this sample of cars? (e) Using the correct units, what is the value of the variance?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the cost data: 10,6,8,10,4,3.5,7.5,8,9

A.) Median cost :

Sorted data:

3.5, 4, 6, 7.5, 8, 8, 9, 10, 10

0.5(n + 1)th term ; n = number of samples

0.5(9 + 1)th term

= 0.5(10)th term = 5th term

Median = 5th term = 8

B.) First quartile (Q1) :

0.25(n + 1)th term ; n = number of samples

0.25(9 + 1)th term

= 0.25(10)th term = 2.5th term

Q1 = (2nd term + 3rd term) / 2 = (4+6)/2 = 10/2 = 5

Q1 = 5

C.) interquartile range = (Q3 - Q1)

Q3 = 0.75(n + 1)th term ; n = number of samples

0.75(9 + 1)th term

= 0.75(10)th term = 7.5th term

Q3 = (7th term + 8th term) / 2 = (9+10)/2 = 19/2 = 9.5

Q3 = 9.5

Q3 - Q1 = (9.5 - 5) = 4.5

D.) Mean (μ) :

μ = ΣX / n

n = sample size

μ =(10+ 6 + 8 + 10+ 4 + 3.5 + 7.5 + 8 + 9) / 9

μ = 66 / 9

μ = 7.33

3.) Population variance (s²)

Σ(x - μ)² / n - 1

=[(10 - 7.33)^2 + (6 - 7.33)^2 + (8 - 7.33)^2 + (10 - 7.33)^2 + (4 - 7.33)^2 + (3.5 - 7.33)^2 + (7.5 - 7.33)^2 + (8 - 7.33)^2 + (9 - 7.33)^2] / 9

= 45.5001 / 8

= 5.687

Which of the expressions below will have a 8 in the thousandths place of the quotient? Select all that apply.

A) 765.812 ÷ 100
B) 98.14 ÷ 1,000
C) 18.723 ÷ 100
D) 22.38 ÷ 10

Answers

I’m pretty sure it’s A. Sorry if it’s not. :(

Answer:

A

Step-by-step explanation:

The function that represents the amount of caffeine in milligrams remaining

Answers

Answer:

Step-by-step explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.

Answer:

If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:

A(t) = c×e^(dt)

where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)

I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.

This relationship solving for the remaining miligrams can be given by:

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.

7. A crew of electricians can wire 6 houses in 243 hours. How many hours will it take them to wire
13 houses?

Answers

Answer:

243*2=486

243/6=40.5 Or how many hour it would take to wire one house.

486+40.5=526.5Hrs

An architect wants to build a scale model of a building that is in the shape of a rectangular prism. The building has a height of 500 ft., a width of 120 ft., and a length of 600 ft.The scale model is 1% of the size of the building based off its length and width, so the length of the scale model is and the height of the scale model is .

Answers

Height: 5ft.

Legnth: 6ft.

Width: 1.2 ft.

1% of 500 is 5ft

1% of 600 is 6ft

1% of 120 is 1.2ft

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