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The sum of two numbers is 107, the difference is 51. Find the numbers.

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

We have a binomial probability distribution, in which:

P(X = 0) = 0.064

P(X = 1) = 0.288

P(X = 2) = 0.432

P(X = 3) = 0.216

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it is for domestic travel, or it is for international travel. Flights are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Let x be the number of requests among the next three requests received that are for domestic flights.

3 flights, and 60% are for domestic travel. This means that \(n = 3, p = 0.6\). The probabilities are given by:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.(0.6)^{0}.(0.4)^{3} = 0.064\)

\(P(X = 1) = C_{3,1}.(0.6)^{1}.(0.4)^{2} = 0.288\)

\(P(X = 2) = C_{3,2}.(0.6)^{2}.(0.4)^{1} = 0.432\)

\(P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216\)

The surface area of right rectangular prism is equal to 150 square centimeter

The surface area of a right rectangular prism can be found by finding the sum of the area of each of the faces of the prism.

A = 2(lw + hl + hw)

Where, "l" is the length and "h" is the height and "w" is the width

To determine the surface area of right rectangular prism.

Given the paramters as;

length = 4 cm

width = 9 cm

height = 3 cm

Substituting the given values, we get;

A = 2(lw + hl + hw)

A = 2 (36 + 27 + 12)

A = 150

Thus,  surface area of right rectangular prism is 150 square centimeter

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Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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The piecewise function for this problem is defined as follows:

B.

The function is a piecewise function, as the function has different definitions based on the input of the function.

The different definitions for the graph are given as follows:

To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:

y = 2x + 2, x ≤ 0.

To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:

y = -4/3x + 4, x > 0.

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The line that would appear parallel to HG and would go through point D, is DC.

When describing parallel lines, we describe two lines in the same plane that are equally spaced apart and never cross each other. Both horizontal and vertical shapes are possible.

The only line that would go through point D and would be parallel to line HG, would therefore be Line DC. This is because this line is equally spaced from line HG and would never cross it.

In conclusion, line DC would be parallel to line HG.

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Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

According to the information, the values would be organized like this: 2.75, 3.4, and 5.5.

To organize these values in a number line we have to solve the fractions and then organize them as follow:

So, we can organize them like this (from lesser value to greater value):

2.75, 3.4, and 5.5.

We have to consider that in a number line we can organize number with the number 0 as reference. So, greater number is in the right and lesser numbers are in the left. Here is the graph of these numbers.

Note: This question is incomplete. Here is the complete information:

Locate each value in a number line.

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Area of a square = side^2

In this problem,

Side = 4in

Therefore,

Area = 4^2 = 16in^2

Area of a rectangle = length * width

In this problem,

Length = 6in

Width = 12.5in

Area = 75in^2

Area of a parallelogram = base * height

In this problem

Base = 10in

Height = 3.5in

Area = 3.5 * 10 = 35in^2

Now we add up the area from each shape

35 + 75 + 16 = 126in^2

The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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Answer:

3/12

Step-by-step explanation:

Theres 12 possibilities and she has 3 numbers which means each number has a 1 out of 12 chance of winning the prize. Molly has three numbers so she has a probability of 3/12 to win a prize.

if the diameter of a tennis ball is 2.6 what is the circumference ​

we have that

the circumference is

C=Pi*D

we have

D=2.6 units

so

C=pi*2.6

C=2.6pi units ------> exact value

the approximate value is

C=3.14*2.6

C=8.16 units -----> approximate value

Answer:

it is correct I think it's right

Step-by-step explanation:

Answer:

No. The den will have 8 times the volume of the bedroom.

Step-by-step explanation:

The volume of the bedroom:

9 * 5 * 7 = 315 cubic feet

The volume of the den:

(9*2) (5*2) (7*2)

18 * 10 * 14 = 2,520

2,520/315 = 8

The area of the circle is equal to 56.52 square feet.

The circle is defined as the locus of the point traces around a fixed point called the center and is equidistant from the outer trace. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the diameter of a circle is 8ft. The area of the circle is calculated as,

Area = (π / 4)d²

Area = π/4 x (8)²

Area = 18 x 3.14

Area = 56.52 square feet

Therefore the area of the circle is equal to 56.52 square feet.

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The length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.

Given that a hydrogen atom has about 1.04 × 10⁻¹⁰ meters diameter, whereas a protein molecule has an overall length of 2 × 10³ times the diameter of a hydrogen atom.

We need to find the length of the protein molecule, in meters and in scientific notation.

We must multiply the diameter of a hydrogen atom by the specified factor (2 × 10³), in order to determine the length of the protein molecule in meters.

Let's compute the amount:

Length of protein molecule = Diameter of a hydrogen atom × 2 × 10³

Diameter of a hydrogen atom = 1.04 × 10⁻¹⁰ meters

Length of protein molecule = 1.04 × 10⁻¹⁰ meters × 2 × 10³

To multiply numbers in scientific notation, we add the exponents and multiply the coefficients:

Length of protein molecule = 2.08 × 10⁻⁷ meters

So, the length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.

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The length of the protein molecule, in meters and written in scientific notation, is approximately 2.08 × 10^(-7) meters.

To calculate the length of the protein molecule in meters, we'll start with the given diameter of a hydrogen atom and multiply it by the scaling factor of 2000. Let's perform the calculations:

Diameter of a hydrogen atom = 1.04 × 10^(-10) meters

Length of the protein molecule = 2000 × (Diameter of a hydrogen atom)

Multiplying the diameter by the scaling factor:

Length of the protein molecule = 2000 × (1.04 × 10^(-10))

When multiplying numbers written in scientific notation, we can multiply the coefficients and add the exponents:

Length of the protein molecule = 2000 × 1.04 × 10^(-10)

Calculating the coefficient:

2000 × 1.04 = 2080

Calculating the exponent:

10^(-10)

Putting the coefficient and exponent together:

Length of the protein molecule = 2080 × 10^(-10)

Writing it in scientific notation:

Length of the protein molecule = 2.08 × 10^(-7)

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the data classification (categorical or quantitative) and type of data (Nominal or Ordinal or Continuous or Discrete)

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

Data classification is a process of organizing data into categories based on their characteristics, attributes, or features. There are two main types of data classification:

Categorical Data: Data that can be divided into categories or classes. For example, color, gender, and type of cuisine are all examples of categorical data. Categorical data can be further classified into two types:

a. Nominal Data: Data that does not have an inherent order or ranking. For example, hair color, eye color, and favorite movie are all examples of nominal data.

b. Ordinal Data: Data that has a natural order or ranking. For example, education level (high school, college, postgraduate), star rating (1 star, 2 stars, 3 stars), and satisfaction level (very unsatisfied, unsatisfied, neutral, satisfied, very satisfied) are all examples of ordinal data.

Quantitative Data: Data that can be measured and expressed as a number. For example, height, weight, and time are all examples of quantitative data. Quantitative data can be further classified into two types:

a. Continuous Data: Data that can take on any value within a specified range. For example, height, weight, and temperature are all examples of continuous data.

b. Discrete Data: Data that can only take on specific values. For example, number of children in a family, number of pets, and number of rooms in a house are all examples of discrete data

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Answer:

C. 11

Step-by-step explanation:

36÷3.25= 11.07

Round down, he can cut 11 strings.

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

≈ 11695 yd^2

The answer d

Step-by-step explanation:

Given:

r = 61 yd

\(\pi = \frac{22}{7} \)

Find: a - ?

\(a = \pi \times {r}^{2} = \frac{22}{7} \times {61}^{2} ≈ 11695\)

Answer:

7x+5

Step-by-step explanation:

Add the similar terms only...

2x+2x+3x+5

7x+5

Answer:

7x+5

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

If x and y be  i.i.d. unif(0, 1), then the covariance of x + y and x - y is zero

Here  x and y be i.i.d. unif(0, 1)

The i.i.d stands for independent and identically distributed

unif means that the uniformly distributed

Here x and y are i.i.d unif (0,1)

The covariance is defined as the relationship between the two random variables . Therefore, variance of one variable is equal to the change in another variable

Here we have to find the covariance of x + y and x - y

According to the properties of covariance

Cov(x+ y, x - y) = Cov (x, x) + Cov(y, x) - Cov(x, y) - Cov(y, y) = 0

Because Cov(x, x) = Cov (y, y)

Cov(y, x) = Cov(x, y)

Therefore, the covariance of x+y and x - y is 0

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The graph of the linear inequality is given by the image presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The function for this problem is given as follows:

y = -3x/4 + 2.

Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.

The inequality is given as follows:

y < -3x/4 + 2.

Meaning that points below the dashed line are the solution to the inequality.

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Answer:

82

Step-by-step explanation:

205/5=41 jumps per minute

41*2= 82 jumping jacks

hope this helps :))

Answer:

The number of miles driven after

Step-by-step explanation:

is how much they charge flat out

2 dollars for each mile after the first

x-1 tells you how many miles they have driven after the first

student 3 i thin srry if im wrong

Answer:

student 3

Step-by-step explanation:

If Caisse can download a maximum of 1000 mb of songs or movies then the inequality that represents the number of movies and songs that Caisse downloads each month is 85x+4y<1000.

Given that Caisse can download a maximum of 1000 mb of songs or movies to her smartphone each month. the file of each movie is 85mb, and the file of each song is 4mb.

We are required to find the inequality that represents the number movies and songs that Caisse downloads each month.

Inequality is like an equation that shows the relationship between variables that are expressed in greater than, less than , greater than or equal to , less than or equal to sign.

let the number of movies be x and the number of songs be y.

According to question Caisse cannot download more than 1000 mb, so we will use less than towards equation.

It will be as under:

85x+4y<1000.

Hence if Caisse can download a maximum of 1000 mb of songs or movies then the inequality that represents the number of movies and songs that Caisse downloads each month is 85x+4y<1000.

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