What is the value of 3,520 × 10³

Answer:

0.071, 0.54, 75%

Step-by-step explanation:

75% is 0.75, so it’s 0.071, 0.54, then 75% hope that helps and have a great day!

Answer:

  9. Cylinder

  10. 14 in

  11. 20π in³

  12. circle, ellipse, rectangle, truncated ellipse

Step-by-step explanation:

You want the solid obtained by revolving a rectangle around one edge, the perimeter of the rectangle, the volume of the solid, and the names of at least 2 cross sections of the solid.

Every point on the outside edge of the solid will be 2 inches from the center axis. That is, the cross section perpendicular to the axis of revolution will be a circle. The solid is a cylinder.

The perimeter of a rectangle is given by the formula ...

  P = 2(L +W)

  P = 2(2 in + 5 in) = 2(7 in) = 14 in

The perimeter is 14 inches.

The radius of the cylinder is 2 inches, and its height is 5 inches. The volume is given by ...

  V = πr²h

  V = π(2 in)²(5 in) = 20π in³

The volume is 20π cubic inches, about 62.8 cubic inches.

The four attachments show possible cross sections of the cylinder. They include a circle, ellipse, rectangle, and truncated ellipse. The truncated ellipse may be cut off on one or both ends.

Answer:

14. (-8, 12)   15. (6, 7)

For the probability distribution the mean of the random variable X is 5.258 this means that, on average, the crew size of a randomly selected shuttle mission is approximately 5.258.

To find the mean of the random variable X, we multiply each value of X by its corresponding probability and sum them up. Let's calculate it step by step:

x | P(X = x)

2 | 0.064

3 | 0.015

4 | 0.055

5 | 0.276

6 | 0.124

7 | 0.387

8 | 0.079

Step 1: Multiply each value of X by its corresponding probability.

2 × 0.064 = 0.128

3 × 0.015 = 0.045

4 × 0.055 = 0.22

5 × 0.276 = 1.38

6 × 0.124 = 0.744

7 × 0.387 = 2.709

8 × 0.079 = 0.632

Step 2: Sum up the products from Step 1.

0.128 + 0.045 + 0.22 + 1.38 + 0.744 + 2.709 + 0.632 = 5.258

Step 3: The mean (μ) is the sum from Step 2.

μ = 5.258

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The question is -

The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts A through c.

x                   2            3              4             5             6             7              8

P(X = x)     0.064     0.015       0.055     0.276      0.124      0.387      0.079

a. Find and interpret the mean of the random variable.

μ=

The solution to the system of equations as an ordered pair is (4, -3).

We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.

We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".

y = (-1/2)x - 1

(-1/4)x + y + 4 = 0

Substitute the value of "y" from the first equation into the second equation.

(-1/4)x + (-1/2)x - 1 + 4 = 0

(-3/4)x+3 = 0

(3/4)x = 3

x = 4

Substitute the value of "x" back into the first equation to get the value of "y".

y = (-1/2)x - 1

y = (-1/2)4 - 1

y = -2 - 1

y = -3

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Answer:

3, 3 x 3 is 9 ( maybe)......

Answer:

Add total rolls:

The number of rolls is the height of each bar:

14 + 12 + 16 + 15 + 13 = 70

70 total rolls

The numbers greater than 3 are 4 and 5

4 was rolled 15 times and 5 was rolled 13 times

15 + 14 =28 Total times

The probability of that happening would be 28/70 which reduces to 2/5

The answer as a fraction is 2/5 which is 40% as a percentage.

IF your graph matches this data :)

Answer:

4*4*4 = 64, so the volume is 64 inches cubed

Step-by-step explanation:

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.

The tangents BC and DC are drawn from a common point C to the circle A.

Therefore, by The Two-Tangent Theorem:

BC ≅ DC

Hence, the required reason is:

The Two-Tangent Theorem

y= mx+b

m= slope

b= y-intercept

m= y2 -y1 / x2-x1

x1=1

x2=4

y1= 2

y2=8

m=8-2/ 4-1

m=6/3

m=2

The domain of the function is  (-3, ∞) and the range of the function includes all real numbers.

The function is defined for x values greater than -3 since x + 3 appears inside the logarithm. So, the domain is (-3, ∞).

The range of the function includes all real numbers, which means the function can take any y value.

The graph of the function has a vertical asymptote at x = -3, where the denominator of the logarithmic expression becomes zero.

The function does not have a horizontal asymptote since the logarithmic function does not approach a specific value as x approaches positive or negative infinity.

To find the x-intercept, we set f(x) = 0 and solve for x:

log3(x + 3) = 0

x + 3 = 1

x = -2

So, the x-intercept is -2.

However, since the function is not defined for x = -3, the graph does not pass through (-2, 0).

The function does not have a y-intercept.

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The statements describe a cylinder are

(i) It has two bases

(ii) It has one lateral face

(iii) Its lateral face is a rectangle

A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.

"The top and bottom of a cylinder are called the bases. The height h of a cylinder is the distance between the two bases."

"The lateral surface of an object is defined as the area of all the sides of the object, excluding the area of its base and top. For a cylinder, the lateral surface area is the curved surface that connects the base and the top."

The statements describe a cylinder are

(i) It has two bases

(ii) It has one lateral face

(iii) Its lateral face is a rectangle

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Answer:

The answer is -3.

(Hope this helps)

Step-by-step explanation:


The diameter of a nucleus is much smaller than the diameter of a proton. In fact, it is about 10,000 times smaller!

If we imagine the diameter of a proton to be equal to 1 unit, then the diameter of a nucleus would be equal to 0.0001 units.

To write this in scientific notation, we can express it as 1 x 10^-3 units.

So, the diameter of a proton times 10 raised to what power is equivalent to the diameter of a nucleus?

The answer is -3.

The diameter of a proton times 10 raised to the power of -1 is equivalent to the diameter of a nucleus.

The diameter of a proton is approximately 1.75 x 10-15 meters, and the diameter of a typical atomic nucleus is approximately 1 x 10-14 meters.

To find the power to which we need to raise 10 in order to equate the two diameters, we can set up an equation:

1.75 x 10-15 = 1 x 10-14 * 10x

Dividing both sides of the equation by 1 x 10-14, we get:

x = -1

Therefore, the diameter of a proton times 10 raised to the power of -1 is equivalent to the diameter of a nucleus.

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Answer:

16 (: That is what i think...

Step-by-step explanation:

Answer:

2 people can have 18 cupcakes each

3 people can have 12 cupcakes each

4 people can have 9 cupcakes each

9 people can have 4 cupcakes each

Step-by-step explanation:

Answer: 1,2,3,4,6,9,12,18,36

Step-by-step explanation:

45 probably or maybe 2

Answer:

A ≈ 28.5

Step-by-step explanation:

a, b, c

P = a + b + c

Semiperimeter s = \(\frac{a+b+c}{2}\)

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

~~~~~~~~~~~~~~~

\(P_{ABC}\) = 4.3 + 2.89 + 6.81 = 14

s = 14 ÷ 2 = 7

\(A_{ABC}\) = \(\sqrt{7(7-4.3)(7-2.89)(7-6.81)}\) = √14.75901 ≈ 3.84

\(P_{BCD}\) = 8.59 + 7.58 + 6.81 = 22.98

s = 22.98 ÷ 2 = 11.49

\(A_{BCD}\) = \(\sqrt{11.49(11.49-8.59)(11.49-7.58)(11.49-6.81)}\) = √609.7343148 ≈ 24.6928

\(A_{ABCD}\) = 3.84 + 24.6928 ≈ 28.5

The  radius of the pizza rounded to the nearest foot as calculated from the given data is 2.1 foot.

Area of a circle = 2(pi)r²

Therefore ,

29 = 2 x 22 / 7 x r²

=> r² = 29 x 7 / 2 x 22

=> r² = 4.61

Therefore , the required radius will be

r = √4.61

r = 2.147

Pizza is circular in shape and that is why here we are applying the formula for area of a circle to obtain the radius. Circle is a geometric shape which is made up of infinite points . There are also an infinite number of tangents which passes from a circle.

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Answer:

0.011

Step-by-step explanation:

To convert a percentage into a decimal, simply divide by 100;

Some examples are:

1% = 0.01

5% = 0.05

10% = 0.1

50% = 0.5

N.B. finding a percentage of a number is multiplying by the decimal form, so, e.g. 1.1% of 1000 is:

1000 × 0.011 = 11

Answer:

0.011

Step-by-step explanation:

To convert a percentage to a decimal, you must divide the percentage by the number 100.

Therefore, 1.1% / 100 = 0.011.

(If the question was the other way around and you wanted to turn a decimal into a percentage. All you have to do is the opposite. When you have a decimal multiply it by 100 to get a percentage.)

Hope this helped you!

Answer:

12.68

Step-by-step explanation:

With reference angle 45°

perpendicular (p) = 9

hypotenuse (h) = c

Now

sin 45 ° = p/ h

0.71 = 9 / c

c = 9 / 0.71

c = 12.68

Hope it will help :)

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

c

Step-by-step explanation:

edge

Answer:

three billion eight hundred million

Step-by-step explanation:

Answer:

X= 43/3

Step-by-step explanation:

-1/4 x 5 = 3/4x - 12

-5/4=3/4x -12

-5=3x - 48

-3x-5 = -48

-3x = -48 + 5

-3x= -43

-3 x= -43

X= 43/3

In probability theory, the expected value of a random variable is a measure of the center of the distribution of the variable. It is a crucial concept that appears in various statistical problems. The expected value of a discrete random

variable can be calculated by the following formula: E(X) = ∑ x P(X = x), where E(X) is the expected value of the random variable X, x is a possible value of X, and P(X = x) is the probability that X takes the value x. Now let's calculate the expected value of Gavin's gain. Gavin tosses an unbiased coin, which means that the probability of getting head is 0.5 and the probability of getting tail is also 0.5. If Gavin gets head, he receives Php 100, and if he gets tail, he pays Php 40. Therefore, the random variable X that represents Gavin's gain can take two possible values: 60 and -40. We can calculate the expected value of X by plugging in the values of x and P(X = x) into the formula above: E(X) = 60*0.5 + (-40)*0.5 = 10. Therefore, the expected value of Gavin's gain is Php 10.

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Answer:

children is 48 and adults is 8.25 and children is 90

Step-by-step explanation:

Answer:

\(8x^6y^9\)

Step-by-step explanation:

Multiply the numbers

\(2x^2y^3x^2\) · \(4y^3x^2y^2y\)

\(8x^2y^3x^2y^3x^2x^2y\)

Combine exponents

\(8x^2y^3x^2y^3x^2x^2y\)

\(8x^2y^9x^2x^2\)

Combine exponents

\(8x^2y^9x^2x^2\)

\(8x^6y^9\)

Solution

\(8x^6y^9\)