Write each of the following numbers to 3 significant figures in exponential or scientific notation. Write each number with only one non-zero digit before the decimal point.
(i) 5590
(ii) 0.000498
(iii) 135000
(iv) 0.000438

Answers

Answer 1

Solution :

The significant figure of a number are defined as the positional notation of that number which are most reliable and are absolutely necessary to represent the quantity of something.

In the context, we have to express the given numbers into three significant figures in the form of scientific notation or in the exponential form :

(i). 5590    -----    [tex]$5.59 \times 10^3$[/tex]

(ii).  0.000498   -----    [tex]$4.98 \times 10^{-4}$[/tex]

(iii) 135000  -----   [tex]$1.35 \times 10^5$[/tex]

(iv) 0.000438   -----  [tex]$4.38 \times 10^{-4}$[/tex]

       


Related Questions

what is the value of 24 * 0.03 ​

Answers

Answer:

The value of 24x0.03 is gong to be, "800"

Caffeine: Following are the number of grams of carbohydrates in 12-ounce espresso beverages offered at a coffee shop. 44 29 11 61 15 38 20 41 42 25 26 10 30 12 18 40 21 24 43 6 46 55 34 35 Send data to Excel Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Your Answer is incorrect (a) Find the first and third quartiles of these data. The first quartile of these data is . The third quartile of these data is

Answers

Answer:

[tex]Q_1 = 19[/tex] --- first quartile

[tex]Q_3 = 41.5[/tex] --- third quartile

Step-by-step explanation:

Required:

The first and the third quartile

First, we order the dataset in ascending order[tex]Sorted: 6, 10, 11, 12, 15, 18, 20, 21, 24, 25, 26, 29, 30, 34, 35, 38, 40, 41, 42, 43, 44, 46, 55, 61[/tex]

The count of the dataset is:

[tex]n = 24[/tex]

Calculate the median position

[tex]Median=\frac{n+1}{2}[/tex]

[tex]Median=\frac{24+1}{2}[/tex]

[tex]Median=\frac{25}{2}[/tex]

[tex]Median=12.5th[/tex]

This means that the median is between the 12th and the 13th item

Next;

Split the dataset to two parts: 1 to 12 and 13 to 24

[tex]First: 6, 10, 11, 12, 15, 18, 20, 21, 24, 25, 26, 29[/tex]

[tex]Second: 30, 34, 35, 38, 40, 41, 42, 43, 44, 46, 55, 61[/tex]

The median position is:

[tex]Median = \frac{n + 1}{2}[/tex]

In this case; n = 12

So:

[tex]Median = \frac{12 + 1}{2}[/tex]

[tex]Median = \frac{13}{2}[/tex]

[tex]Median = 6.5th[/tex]

This means that the median is the average of the 6th and 7th item of the sorted dataset

So, we have:

[tex]Q_1 = \frac{18 + 20}{2}[/tex]

[tex]Q_1 = \frac{38}{2}[/tex]

[tex]Q_1 = 19[/tex] --- first quartile

[tex]Q_3 = \frac{41+42}{2}[/tex]

[tex]Q_3 = \frac{83}{2}[/tex]

[tex]Q_3 = 41.5[/tex] --- third quartile

A basketball player has a 0.498 probability of making a three-point shot. What is the probability that it takes the player 4 tries to make a three-point shot? (Round your answer to three decimals if necessary.)

Answers

Answer:

$1

Step-by-step explanation:

because of the dollar it makes sense to be a dollar

Which set of statements shows the correct steps to find 45 percent of 75?

A.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as StartFraction 1 Over 20 EndFraction. Then, find StartFraction 1 Over 20 EndFraction of 75: 75 times StartFraction 1 Over 20 EndFraction = StartFraction 75 Over 20 EndFraction = 3.75. Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
B.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as One-half. Then, find One-half of 75: 75 times one-half = StartFraction 75 Over 2 EndFraction = 33.75. Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
C.
Write 45 percent as StartFraction 1 Over 45 EndFraction. Then, find StartFraction 1 Over 45 EndFraction of 75: 75 times StartFraction 1 Over 45 EndFraction = StartFraction 75 Over 45 EndFraction = 1.67. So, 45 percent of 75 is 1.67.
D.
Write 45 percent as StartFraction 1 Over 4.5 EndFraction. Then, find StartFraction 1 Over 4.5 EndFraction of 75: 75 times StartFraction 1 Over 4.5 EndFraction = StartFraction 75 Over 4.5 EndFraction = 16.7. So, 45 percent of 75 is 16.7.

Answers

Pls the answer is

D

Thank you

You are welcome

Answer:

d

Step-by-step explanation:

im smart

A bank records deposits as positive numbers and withdrawals as negative numbers.
Mike withdrew \$60$60dollar sign, 60 from his bank account 333 times.
What is the change in Mike's account balance after all 333 withdrawals?
\$$dollar sign

Answers

Answer:

i think that $19980 is the answer

Step-by-step explanation:

i hope it will help u

What is the product?
(ay3)2 + 3y - 5)

Answers

I think the answer is 2ay^3+3y-5

What piece of information is needed to prove the triangles are congruent through AAS?

Answers

Answer:

C. <C is congruent to <Y

Step-by-step explanation:

to be AAS the angles need to be next to each other

A large on-demand, video streaming company is designing a large-scale survey to determine the mean amount of time corporate executives watch on-demand television. A small pilot survey of 10 executives indicated that the mean time per week is 12 hours, with a standard deviation of 3 hours. The estimate of the mean viewing time should be within 0.25 hour. The 95% level of confidence is to be used. How many executives should be surveyed? (Use z Distribution Table.)
How many executives should be surveyed? (Round the final answer to the next whole number.)

Answers

Answer:

554 executives should be surveyed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 3 hours.

This means that [tex]\sigma = 3[/tex]

The 95% level of confidence is to be used. How many executives should be surveyed?

n executives should be surveyed, and n is found with [tex]M = 0.25[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.25 = 1.96\frac{3}{\sqrt{n}}[/tex]

[tex]0.25\sqrt{n} = 1.96*3[/tex]

[tex]\sqrt{n} = \frac{1.96*3}{0.25}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*3}{0.25})^2[/tex]

[tex]n = 553.2[/tex]

Rounding up:

554 executives should be surveyed.

What is this expression in simplified form?

[tex]\sqrt{32} · \sqrt{24}[/tex]

Answers

Hello!

√32 × √24 =

= √768 =

= 163

Good luck! :)

Answer:

16×sqrt(3)

Step-by-step explanation:

what full square numbers are factors in the numbers under the square root that we can pull out ?

and then multiply the rest under the square root and possibly repeat one more time.

32 = 16×2

16 is a great square number.

in 24 we find 4 as the largest square factor.

so,

sqrt(32)×sqrt(24) = sqrt(16×2)×sqrt(4×6) =

= 4×sqrt(2)×2×sqrt(6) = 8×sqrt(2×6) = 8×sqrt(12) =

= 8×sqrt(4×3) = 8×2×sqrt(3) = 16×sqrt(3)

Which of the following slopes of a line pass through points (3, 1) and (0, 1)?

Answers

m or slope = (y2)-(y1)/(x2)-(x1)
= 1 - 1/0 - 3
= 0/-3
your slope would be 0/-3
or up 0, left 3

find the missing length. the triangles are similar.

Answers

70 + 78 + 91 = 239
239 - 42 - 36 = 161

Answer:

? = 130

Step-by-step explanation:

I'm letting ? be x

Since the triangles are similar, larger outer and smaller inner, then the ratios of corresponding sides are equal.

If x is the length of side of larger then x - 70 is corresponding length of smaller.

Then

[tex]\frac{x}{x-70}[/tex] = [tex]\frac{78}{36}[/tex] ( cross- multiply )

78(x - 70) = 36x ← distribute left side

78x - 5460 = 36x ( subtract 36x from both sides )

42x - 5460 = 0 ( add 5460 to both sides )

42x = 5460 ( divide both sides by 42 )

x = 130

Choose which triangle goes into the right category.

Answers

Answer:

obtuse cant be a right angle

Step-by-step explanation:

in order to be  obtuse you  have to be more than 90 dagrees

Tina conducted a survey to find the favorite weekend activity of the people in her state. She asked 10 of her neighbors what their favorite weekend activity is. Tina concludes that boating is the favorite weekend activity of the people in her state because 70% of her neighbors like to go boating on weekends.
Use at least two sentences to explain why Tina's sample may not be valid. Make sure to use facts to support your answe

Answers

Tina's sample may not be valid, because the average number of people in a state is approximately 6.3 million. Her survey was just carried out in her neighborhood and not in the entire state, so we cant judge a state with just a neighborhood.

Meaning of neighborhood and state

A neighborhood is a place, district, community that is within a town or city. it can be said to be the area of place that is close or that surrounds an individual.

A state is a territory or place that has a government that is in charge of an organized political community.

In conclusion, Tina's sample may not be valid

Learn more about neighborhood :https://brainly.com/question/6322160

#SPJ2

Find the value of X in each case:

Answers

Answer:

hi, see mate the third angle is not in the photo, please upload another one

The mean temperature for the first 4 days in January was 1°C.
The mean temperature for the first 5 days in January was -1°C.
What was the temperature on the 5th day?

Answers

Answer:

The temperature on the 5th day was of -9ºC.

Step-by-step explanation:

Mean of a data-set

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

The mean temperature for the first 4 days in January was 1°C.

This means that during the first 4 days, the sum of the temperatures was 4*1 = 4ºC.

The mean temperature for the first 5 days in January was -1°C.

First 4 days: Sum of 4º

5th day: Temperature of x.

The mean is -1, so:

[tex]-1 = \frac{4 + x}{5}[/tex]

[tex]x + 4 = -5[/tex]

[tex]x = -9[/tex]

The temperature on the 5th day was of -9ºC.

what is the value of pie​

Answers

Answer:

3.142

Step-by-step explanation:

Succinctly, pi which is written as the Greek letter for p, or π is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.142.

A random sample of 35 employees of the local green technologies plant Greenies, who completed two years of college, were asked to take a basic mathematics test. The mean and standard deviation of their scores were 75.1 and 12.8, respectively. In a random sample of 50 employees who had only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6, respectively. Assuming equal variance between the two populations, can we infer at the .10 level of significance that students who completed two years of college had a higher average than students who had only completed high school

Answers

Answer:

There is no significance evidence that students who completed two years of college had a higher average than students who had only completed high school.

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

n1 = 35 ; x1 = 75.1 ; s1 = 12.8

n2 = 50 ; x2 = 72.1 ; s2 = 14.6

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

df1 = n1 - 1 = 35 - 1 = 34

df2 = n2 - 1 = 50 - 1 = 49

(x1 - x2) ÷ Sp(√(1/n1 + 1/n2))

Sp² = (34*12.8^2 + 49*14.6^2) / (35+50-2)

Sp² = (5570.56 + 10444.84) / 83

Sp² = 192.95662

Sp = √192.95662

Sp = 13.89

Test statistic = (75.1 - 72.1) / 13.89 * √(1/35 + 1/50)

Test statistic = 3 / (13.89 * 0.2203892)

Test statistic = 0.980

df = n1 + n2 - 2

df = 35 + 50 - 2 = 83

Using the Pvalue calculator :

Pvalue(0.980, 83) = 0.165

α = 0.1

Pvalue > α ; We fail to reject the H0; and conclude that there is no significance evidence that students who completed two years of college had a higher average than students who had only completed high school.

1=5
2=12
3=39
4=148
5=?​

Answers

the answer might be 305?

Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive.
Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118
Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126
1. What is the alternative hypothesis for this study?
i. Worker productivity is higher with automatic dispensers.
ii. Automatic dispensers fill cups faster than manual dispensers.
iii. Worker productivity is lower with automatic dispensers.
iv. There is no difference in worker productivity between restaurants with automatic and manual dispensers.
2. What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal).
3. When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4 decimal places)
4. What can be concluded from this study at a 1% significance level?

Answers

Answer:

ii

Step-by-step explanation:

you have to look and read it it comes simple

if 2 (3x - 4 ) =5, then x =

Answers

Answer:

2.167 (rounded to the nearest hundredths).

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 2 from both sides of the equation:

(2(3x - 4))/2 = (5)/2

3x - 4 = 2.5

Next, isolate the variable, x. Add 4 to both sides of the equation:

3x - 4 (+4) = 2.5 (+4)

3x = 2.5 + 4

3x = 6.5

Then, divide 3 from both sides of the equation:

(3x)/3 = (6.5)/3

x = 6.5/3 = 2.167 (rounded).

~

Answer:

We have this equation

2*(3x-4) = 5

We can start solving the parentheses

2*(3x- 4) = 5

6x - 8 = 5

We can add 8 to both sides

6x - 8 + 8 = 5 + 8

6x = 13

And divide by 6

6x/6 = 13/6

x = 13/6

6. Tax: If sales tax is figured at 7.25%, how
much tax will be added to the total purchase
price of three textbooks, priced at $25.00,
$35.00, and $52.00?

Answers

Answer:

$8.12

Step-by-step explanation:

1. Looking at the question

The question says tax will be added to the total purchase price, so not each of them individually.

Prices: $25, $35, $52

Tax rate: 7.25%

2. Solving

[tex]25+35+52=112[/tex]

Percent to decimal = x/100

[tex]7.25[/tex]÷[tex]100=0.0725[/tex]

[tex]0.0725[/tex]·[tex]112=8.12[/tex] (this is the tax)

Hope this helped! Please mark brainliest :)

Answer:

1.81,2.54,3.77

Total

8.12

Step-by-step explanation:

To find the tax, multiply the original amount by the tax rate

tax

25 * 7.25%

25 *.0725

Rounding to the nearest cent

1.81

35 * 7.25%

35 *.0725

Rounding to the nearest cent

2.54

52 * 7.25%

52 *.0725

Rounding to the nearest cent

3.77

Total for all three

1.81+2.54+3.77=8.12

Prove this plzzz help me​

Answers

Answer:

Answer is in the picture. have a look

write the following in set builder form C={1,4,9,16,25}​

Answers

Answer:

C={n : n=i^2 where i belongs to Natural_numbers and 1 <= i <= 5}

3x is 18 what value is x

Answers

Answer:

6

Step-by-step explanation:

We have the expression "3x is 18" and we want to find out x, so the easiest way is to isolate x. The way to do this is by dividing both 3x and 18 by 3, leaving us with 6. This means that our answer for x is 6. I hope this helped and please don't hesitate to reach out for clarification!

Answer:

6

Step-by-step explanation:

3x = 18

Divide both sides by 3

3x / 3 ( the 3s cancel out and we're left with x )

18/3 = 6

We get that x = 6

We can then plug in 6 to x in 3x = 18 to check if our answer is correct

3x = 18

Replace x with 6

3(6) = 18

3(6) = 18

18 = 18

This is true hence we can confirm that x = 6

Let f(x)
2x + 8, g(x) = x2 + 2x – 8, and h(x) = 3x – 6.
Perform the indicated operation. (Simplify as far as possible.)
(h · f)(3) =

Answers

Answer:

36

Step-by-step explanation:

(h · f)(x) = h(f(x))

h(f(x)) = h(2x+8)

h(f(x))= 3(2x+8) - 6

h(f(x)) = 6x + 24 - 6

h(f(x))= 6x + 18

If x = 3

h(f(x))= 6(3) + 18

h(f(x))= 18 + 18

h(f(x))= 36

Hence (h · f)(3) = 36

Which of the following must be equal to 30% of x?
3x
(A)
1,000
3x
(B)
100
3x
(C)
10
(D) 3x

Answers

Answer:

You can go ahead with option D

Step-by-step explanation:

30% of x will be 3x

In the diagram, DG ∥ EF.

On a coordinate plane, quadrilateral D E F G is shown. Point D is at (negative 2, 2), point G is at (1, 2), point F is at (3, negative 3), and point E is at (negative 4, negative 3).

What additional information would prove that DEFG is an isosceles trapezoid?

DE ≅ GF
DE ≅ DG
EF ≅ DG
EF ≅ GF

Answers

Answer:

[tex]DE \cong GF[/tex]

Step-by-step explanation:

Given

See attachment for quadrilateral

Required

What proves DEFG as isosceles trapezoid

The non-parallel sides of an isosceles trapezoid are similar and equal.

From the attached quadrilateral, the non-parallel sides are: DE and GF

Hence, for DEFG to be an isosceles trapezoid;

[tex]DE \cong GF[/tex]

Answer:DE ≅ GF

Step-by-step explanation:

cause i said so

work out the area of this shape ,give me right answer with explanation I’ll pay you

Answers

Answer:240 square centimeters

Step-by-step explanation:

1. 10x7=70

2. 7x10=70

3. 25x4=100

70+70+100=240

hello guys i need help

Answers

Step-by-step explanation:

90*8.25=742 rounds to 675 because its the closest. 85-95=10 divided by 2=5+85=90. 9-7.5=1.5 divided by 2=0.75+7.5=8.25. thats how i got those numbers. THE ANSWER IS C

B. 600 hours is the answer just took the test

If anyone could help me figure out this problem I’d really appreciate it and I’ll give you brainliest

Answers

Answer:

A={Delaware, Pennsylvania, New Jersey}

|B|=3

Step-by-step explanation:

B={New Hampshire, Virginia, New York}

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