The speed of light is about 2.998 x 10^8 meters per second. The speed of sound is about 343 meters per second. About how many times faster
is light than sound?

The variance of their​ weights is 128.87270 kg².

It is required to find the variance of their​ weights.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Let n=sample size=10 subjects

Standard deviation=11.352211.3522 kg

Using this formula

Variance=(Standard deviation)²

By the formula we get,

Variance=(11.352211.3522 kg)²

Variance=128.87270 kg²

Therefore, the variance of their​ weights is 128.87270 kg².

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3.0582524271844

Step-by-step explanation:

1.multiply the numbers:3.6×105=378

2.multiply the numbers:1.2 ×103=123.6

3.Divide the numbers:378/123.6=3.0582524271844

Answer:

7.538461538

Step-by-step explanation:

No, multiple boxes contain the same fruit.

3 boxes contains the same fruit : strawberry

all different = False

From the given table,

box ID |  fruit name   |  count

53686  |  kiwi         |    45

57181  |  strawberry   |   123

25274  |  apple        |    20

48800  |  orange       |    35

26187  |  strawberry   |   255

57930  |  grape        |   517

52357  |  strawberry   |   102

43566  |  peach        |    40

=> You can see that, each box have a unique box ID, and a fruit name for each box.

=> These 57181, 26187, 52357 boxes contains strawberry.

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Greetings from Brasil...

We know that

V = L³  ⇒  L = ∛V

and

dV/dt = 3cm³/s   (volume rate as a function of time)

Let

dL/dV = L' = 1/(3∛V²)    

We need dL/dt (side rate as a function of time), so

(dV/dt) . (dL/dV) = dL/dt

then

dL/dt = 3 . [1/(3∛V²)]

Answer:

No

Step-by-step explanation:

like terms are terms which have the same variable , that is

10x and - 5x are like terms, they both have the same variable x

The Length of perimeter of the shaded shape is; 24 - 8π

Let us first find the rectangle measurements that contains the shaded portions.

Width of rectangle = 2 * 4 = 8

Length of rectangle = 2 + 2 = 4

Perimeter of rectangle = 2(8 + 4) = 24 units

Now, let us find the perimeter of all semi circles and quarter circles that fall into into this rectangle region;

Perimeter of semi circles = πr + πr + πr + πr/2 + πr/2 = 4πr

Perimeter of semi circles inside the rectangle = 4π * 2 = 8π

Thus;

Length of perimeter of shaded shape = 24 - 8π

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The average velocity in km/h is: 34.3km/hr

Average velocity refers to speed at which the time intervals (t) change in position or displacement happens, divided by the change in position or displacement (x).

=> Average velocity = [tex]\frac{displacement}{time}[/tex]

Now,

The time taken is missing in the question; the time taken = 18 mins = [tex]\frac{18}{60}[/tex] hours.

The distance of her home to the university = 10.3 km

As, average velocity = [tex]\frac{displacement}{time}[/tex]

=> Velocity = [tex]\frac{10.3\times60}{18}[/tex] = 34.3 km/hr

Hence, the average velocity = 34.3 km/hr

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Answer:

To make AEH(triangle) do a vertical cut from A to H

Step-by-step explanation:

Answer: 2x..?

Not 100% sure but here's my reasoning

(1/2 + 1/2 + 1)x

1/2 + 1/2 = 1

1 + 1 = 2

then you add the x, making it 2x

i could be wrong im literally half asleep eating chicken wings and finishing my own homework so forgive me if this is completely wrong lol

Answer:

x<44

Step-by-step explanation:

The correct family is option D.

To understand this problem we must be aware of the concept of addition and subtraction and also BODMAS rules which applies in an linear equation.

The numbers given here are 4,2 and 6.

We can see here that on adding 4 and 2 we get 6;

4+2=6

And on subtracting 2 from 6 we get 4;

6-2=4

Also we can see here that on subtracting 4 from 6 we get 2;

6-4=2.

These three relations are true for the given numbers.

And we can see that option D clearly fits the answer.

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An isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

Therefore, an isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

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Answer: square root of 5 and square root of  9

Step-by-step explanation:

The fraction of a bag that you can put on each plate is 3 /16.

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator and the denominator are divided by a line. An example of a fraction is 1 / 2.

The fraction of the cheese that you can put on each plate can be determined by dividing the amount of cheese left by the number of plates. Division is the process of grouping a number into equal parts using another number.

Amount that can be put on each plate = fraction left / number of plates

3 /4 ÷ 4

3/4 × 1/4 = 3 /16.

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For the following equation of the line: y = (1/5)x + 1, y = (1/5)x + 5, y = 5x + 1, and y = 5x + 5, the line that is perpendicular to it and has the same y - intercept is: y = -5x + 1, y = -5x + 5, y = (-1/5)x + 1, and y = (-1/5)x + 5, respectively.

If two equations of the line are perpendicular with each other, then their slopes are negative reciprocal of one another.

To generate the equation of the line perpendicular to the given lines, with the same y-intercept,

1. Get the slope of each line and determine its y-intercept

2. Take the negative reciprocal of the slope and use it and the same y-intercept to get the equation.

y = (1/5)x + 1

slope = 1/5

y-intercept = 1

perpendicular line :

slope = -5

y-intercept = 1

equation : y = -5x + 1

y = (1/5)x + 5

slope = 1/5

y-intercept = 5

perpendicular line :

slope = -5

y-intercept = 5

equation : y = -5x + 5

y = 5x + 1

slope = 5

y-intercept = 1

perpendicular line :

slope = -1/5

y-intercept = 1

equation : y = (-1/5)x + 1

y = 5x + 5

slope = 5

y-intercept = 5

perpendicular line :

slope = -1/5

y-intercept = 5

equation : y = (-1/5)x + 5

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Answer:

C     y = 5x + 1

Step-by-step explanation:

Took the test on edu

Answer:

The median is: 4

Hope this helps! <3

[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{9}) \implies y +9= 4 (x -9)[/tex]

Answer:

m = 4

Step-by-step explanation:

slope = 4

Answer:

Step-by-step explanation:

Ramon is correct to write the expression (1/12)⁴ that can be rewritten as 1/12⁴.

Use the concept of exponent defined as:

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Given that,

Ramon says that (1/12)⁴ can be rewritten as 1/12⁴.

And, Jamal says that it cannot.

Here, the expression is,

(1/12)⁴

Apply the rule of exponent as

1⁴ / 12⁴

1 / 12⁴

Hence, Ramon is correct to write the expression.

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Answer:

The average salary is $57,500

Step-by-step explanation:

You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2

To find the total salaries"

18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000

2300000/40 = 57,500

Here is what the student wrote (re-pasting for clarity)

C = 1.9 x 9.95

C = 18.91

C = $18.91

The error happens in the 1st line

Why? Because the 1.9 should be 1.09

The 1.9 represents a tax of 90% when we want a 9% tax instead

In other words, 9% = 9/100 = 0.09 while 90% = 90/100 = 0.9

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

This is what the steps should look like

C = 1.09 x 9.95

C = 10.8455

C = 10.85

Don't forget to round to the nearest hundredth, aka nearest penny.

The total cost, after sales tax, is $10.85

176/2^10 = 0.171875.

n=10, p=1/2, q=1/2

probability of student passes the quiz only if he answers 7 or more than 7 questions correctly and let it be x

P(x)=10C7(0.5)^7(0.5)^3 + 10C8(0.5)^8(0.5)^2 + 10C9(0.5)^9(0.5)^1

+ 10C10(0.5)^10(0.5)^0

=120 /1024 + 45/1024 + 10/1024 + 1/1024

P(x)=176 / 1024

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Answer:

5 gallons

Step-by-step explanation:

You just add 2 gallons and 3 gallons and you get

the solution for it ..

solving the bracket is important

Hello, the answer is 194.04.

First, you would convert 140% to a decimal which is 1.4. Next, you would multiply 1.4 x 138.6 = 194.04.

So the steps to a percentage multiplied to a number are:

1. Convert the percentage to a decimal.

2. Multiply the decimal by the number.

3. You get the answer.

Answer: u=22

Step-by-step explanation:

4u = 88

Divide by 4 on both sides

4u/4 = 88/4

Cancel out 4u

u = 22

The equivalent expression to -1/3-(-5/12) is 1/12.

From the information, the expression given is -1/3-(-5/12).

Therefore, this will be computed thus:

= -1/3-(-5/12)

= - 1/3 + 5/12

= 5/12 - 1/3

= 5/12 - 4/12

= 1/12

Therefore, the equivalent expression to -1/3-(-5/12) is 1/12.

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From the calculation carried out below, it can be observed that the profit for 77 sales is $258.

Given revenue as:

f(x) = 5x ............................ (1)

Where:

x = Number of bracelets sold or sales = 77

Total obtain the revenue, substitute x = 77 into equation (1), we have:

Revenue = f(77) = 5 * 77

Revenue = $385

Since profit is $50 less than 80% of the revenue, we have:

Profit = (Revenue * 80%) - 50

Profit = (385 * 80%) - 50

Profit = 308 - 50

Profit = $258

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The actual mean weight of the infants when they were 1 month old is 4.297

The residual plot doesn't show any obvious leftover pattern, confirming that a linear model is appropriate.

the equation of this line as ˆy=12x−1 with an accent on the y to indicate that the y-values computed using this equation

y = 4.88 + 0.267(1)

y = 5.147

residual = -0.85 = A - 5.147 + 5.147

residual = 4.297

the actual mean weight of the infants when they were 1 month old is 4.297

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