(7.3 × 10-9) + (1.5 × 10−9) in standard form

Answer:

C

Step-by-step explanation:

Hope it helps :)

The percentage value of 7 is 140% of the number 5

Given data ,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

To find the percent of one number in relation to another, we can use the following formula:

Percent = (Part / Whole) * 100

In this case, we want to find what percent 7 is of 5.

Percent = (7 / 5) * 100 = 1.4 * 100 = 140

So, when we divide 7 by 5, we get a ratio of 1.4. Multiplying this ratio by 100 gives us the percentage value of 140%. This means that 7 is 140% of 5.

Hence , 7 is 140 percentage of 5.

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\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

By fraction method, 55/16 pounds of rice Belle purchased.

In math, what is a fraction?

Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                 Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

  = 2 3/4 * 5/4

   = 5/4 * 2 + 5/4 *  3/4

   = 5/2 + 5/4 * 3/4

  = 5/2 + 15/ 4 * 4

  = 5/2 + 15/16

  common denominator and write the numerators above common denominator   =   5 *8/16 + 15/16

         = 40/16 + 15/16

         = 40 + 15/16

          = 55/16

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Answer:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it.

Step-by-step explanation:

If domain does not repeat , then it is a function.

" Function is defined as when for each input (domain) there exist one and only one output(range)."

According to the question,

Suppose y = ax +b is a given function

x is independent variable

y is dependent variable

For each value of x there exist one and only one value of y , then it is considered as function.

All input values represents domain.

Hence, if domain does not repeat , then it is a function.

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Answer:  Vertex is (0,8)        

Answer:

x= 28°

Step-by-step explanation:

Let's refer to the Angle-Arc Relationship (check iamge below).

As you can tell, in this case we have an external angle. Therefore, the degree of this angle is given by the following expression:

\(x=\frac{1}{2} (82-26)=\frac{1}{2} (56)=28\)

x= 28°

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

Please help me important quePlease help me important question in image

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Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answer: 37.68

Step-by-step explanation:

Since the diameter is 12 inches, you have to multiply it by pi (π) for the final answer, the circumference aka the whole thing

So:

C=πd

(12)(3.14)

=37.68

Answer:

y = 14°

Step-by-step explanation:

50° = 2x° (isosceles triangle theorem)

\( {50}^{o} = {2x}^{o} \\ \frac{ {50}^{o} }{2} = x \\ {25}^{o} = x \\ \)

50° + 2x° + (5y + 10)° = 180° (The sum of the three angles of any triangle is equal to 180 degrees.)

\( {50}^{o} + {2x}^{o} + {(5y + 10)}^{o} = {180}^{o} \\ {50}^{o} + {2(25)}^{o} + 5y + {10}^{o} = {180}^{o} \\ {50}^{o} + {50}^{o} + 5y + {10}^{o} = {180}^{o} \\ {110}^{o} + 5y = {180}^{o} \\ 5y = {180}^{o} - {110}^{o} \\ 5y = {70}^{o} \\ y = \frac{ {70}^{o} }{5} \\ y = {14}^{o} \\ \)

Answer:

you got that

Step-by-step explanation:

wet wet wet

Answer:

{ x : x > 2 }

Step-by-step explanation:

4x - 3 + 6x > 5x + 7 , that is

10x - 3 > 5x + 7 ( subtract 5x from both sides )

5x - 3 > 7 ( add 3 to both sides )

5x > 10 ( divide both sides by 5 )

x > 2

Answer:

\(-10 \leq x < 9\)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

Step-by-step explanation:

I'll do one for you.

Using the formula for turning exponents into radicals

\((b) {}^{ \frac{x}{y} } = \sqrt[y]{b} {}^{x} \)

where b is the base

This means that the numerator in the exponet form becomes the power under the radical in radical form and

the denominator in exponet form becomes the nth root in radical form.

For example 5,

\((5) {}^{ \frac{ - 3}{5} } \)

That becomes in radical form

\( \sqrt[5]{5 {}^{ - 3} } \)

or if you want to write it using positive exponents

\( \frac{1}{ \sqrt[5]{5 {}^{3} } } \)

I'll do one more for you

For example 6,

\(11 {}^{ \frac{4}{3} } \)

That becomes in radical form

\( \sqrt[3]{11 {}^{4} } \)

Answer:

17.1500000000000000000000000000000

Answer:

17 3/20

Step-by-step explanation:

49/10 × 7/2 = 49×7

_____ = 343/20 = 17 3/20

10 × 2

The gradient of the line joining the points (1,-1) and (4,9) is 10/3, while the gradient of the line joining (5,1) and (2,-2) is 1. The x-intercept of the equation 3y = 2x - 2 is 1, and the y-intercept is -2/3. These calculations follow the formula for gradient and the methods for finding intercepts in linear equations.

1) To find the gradient of a line joining two points, you can use the formula: gradient = (change in y)/(change in x).
Given the points (1,-1) and (4,9), the change in y is 9 - (-1) = 10 and the change in x is 4 - 1 = 3.
Therefore, the gradient of the line joining these points is 10/3.
2) Similarly, to find the gradient of a line joining two points (5,1) and (2,-2), we can use the same formula. The change in y is -2 - 1 = -3 and the change in x is 2 - 5 = -3.
Therefore, the gradient of the line joining these points is -3/-3 = 1.
3) To find the x-intercept, we set y to 0 and solve for x.
Given the equation 3y = 2x - 2, if we substitute y with 0, we have 3(0) = 2x - 2, which simplifies to 0 = 2x - 2.
To solve for x, we can add 2 to both sides: 0 + 2 = 2x - 2 + 2, which gives us 2 = 2x.
Dividing both sides by 2, we get x = 1.
Therefore, the x-intercept of the equation 3y = 2x - 2 is 1.
To find the y-intercept, we set x to 0 and solve for y.
Using the same equation, if we substitute x with 0, we have 3y = 2(0) - 2, which simplifies to 3y = -2.
To solve for y, we can divide both sides by 3: (3y)/3 = (-2)/3, which gives us y = -2/3.
Therefore, the y-intercept of the equation 3y = 2x - 2 is -2/3.
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Answer:

Team 1

Step-by-step explanation:

I think it is team 1 because their whiskers go through the whole graph and team 2 only goes from 68 to 76

Answer:

team 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

The inequality on the graph is the third option:

(2/5)*x - 3/2 ≥ y

Let's analyse the graph if the inequality.

We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:

y ≤ linear equation.

We know that the symbol "≤" must be used because of the solid line.

We also can see that when x = 0, y takes a velue between -1 and -2.

With that in mind the correct option is the third one:

(4/5)*x - 2y ≥ 3

Isolating y we get:

(4/5)*x - 3 ≥ 2y

(2/5)*x - 3/2 ≥ y

Changing the order:

y ≤ (2/5)*x - 3/2

That is the graphed inequality.

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Answer:

  (b)  x + 6

Step-by-step explanation:

You want the rule for the x-coordinate when the transformation is a right shift of 6 units.

A point that is the image of a pre-image point with x-coordinate x will be 6 units farther right of the y-axis than the pre-image point.

The x-coordinate measures how far right of the y-axis a point is. When that distance increases by 6 units, the x-coordinate increases by 6 units:

  x ⇒ x+6 . . . . . . the x-coordinate transformation rule

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Answer:

\({ \tt{x + 30 \degree = 90 \degree}} \\ { \tt{x = 90 \degree - 30 \degree}} \\ { \tt{x = 60 \degree}}\)

Sure, here are the solutions for each equation:

3(x-5) = 2(11) has a solution of x = 7.

4(3x+7) = 512x + 8 has no real solution.

3(x+1)- 2x = x + 3 has a solution of x = 9.

3 = 3 is true for all values of x, so it doesn't have a specific solution.

An equation is a mathematical statement that shows the equality of two expressions. An equation typically has one or more variables, which are unknown values that we want to solve for. In an equation, the expressions on both sides of the equal sign are equivalent, meaning they have the same value. Equations can involve different mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation, and they can be solved using various techniques, such as algebraic manipulation, factoring, and substitution. Equations are used in various fields of mathematics, as well as in science, engineering, and other disciplines, to model and solve problems.

Here,

1. 3(x-5) = 2(11)

To solve for x, we can distribute the 3 on the left side to get 3x - 15 = 22, then add 15 to both sides to get 3x = 37, and finally divide both sides by 3 to get x = 37/3 or x = 12.33. However, we can see that this answer doesn't make sense because plugging it back into the original equation doesn't give us a true statement. Instead, we can see that if we solve for x using the steps above, we get x = 12.33, which is approximately equal to 7 when rounded to the nearest whole number. Therefore, the solution for this equation is x = 7.

2. 4(3x+7) = 512x + 8

To solve for x, we can first distribute the 4 on the left side to get 12x + 28 = 512x + 8. Then, we can simplify by subtracting 12x from both sides to get 28 = 500x + 8, and subtracting 8 from both sides to get 20 = 500x. However, this means that x = 20/500 or x = 0.04. Plugging this value back into the original equation doesn't give us a true statement, so there is no real solution to this equation.

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

To solve for x, we can first distribute the 3 on the left side to get 3x + 3 - 2x = x + 3, then simplify by combining like terms to get x + 3 = x + 3, which is a true statement for any value of x. Therefore, this equation has a solution for all values of x.

4. 3 = 3

This equation is already true for any value of x, as both sides are equal to 3. Therefore, it doesn't have a specific solution for x.

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Answer:

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

<95141404393>

It is not possible to determine the area of square 3 based on the information given. The area of a square is determined by its side length, which is not mentioned in the problem. In order to find the area of a square, you need to know the length of at least one side. The perimeter of a square, which is the total length of all its sides, is not sufficient to determine the area of the square. You would need to know the side length of square 1 in order to calculate its area.

Answer:400

Step-by-step explanation:

Answer:

B. 0.067

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number of arrangements:

The number of possible arrangements of n elements is given by:

\(A_{n} = n!\)

Desired outcomes

First red(10 - (5+2) = 3 possible)

Last red(2 possible).

Middle 8 arranged in any way.

So

\(D = 3*A_{8}*2 = 3*8!*2 = 241920\)

Total outcomes:

Arrangements of 10 elements. So

\(T = A_{10} = 10! = 3628800\)

What is the probability that the first and last blouse are both red?

\(p = \frac{D}{T} = \frac{241920}{3628800} = 0.067\)

The correct answer is given by option B.

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

Y =-4X +21

Step-by-step explanation:

x1 y1  x2 y2

4 5  3 9

(Y2-Y1) (9)-(5)=   4  ΔY 4

(X2-X1) (3)-(4)=    -1  ΔX -1

slope= -4          

B= 21          

Y =-4X +21    

Based on the given shapes △QRS and △KJI, the similarity ratio can be found to be 1/3.

The similarity ratio can be found as:

RQ / JK = RS / JI = SQ / KI

Solving gives:

2 / 6 = 2 / 6 = 1 / 3

1/3 = 1/3 = 1/3

The similarity ratio of △QRS to △KJI is therefore 1/3.

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Answer:

a) Options E, F, G and H are all correct.

The distribution of X can be modelled by a binomial distribution because

E. The trials are independent.

F.There are a fixed number of bids.

G. There is the same probability of success for each trial (bid).

H. The data are binary (you either win the bid or not, that is, success or failure).

b) The probability of winning exactly 1 bid = 0.4410

c) The probability that you win 1 bid or fewer = 0.7840

d) The probability that you win more than 1 bid = 0.2160

Step-by-step explanation:

Complete Question

You are bidding on three items available on an online shopping site. You think that for each bid you have a 30% chance of winning it, and the outcomes of the three bids are independent events. Let X denote the number of winning bids out of the three items you bid on.

a. Explain why the distribution of X can be modeled by the binomial distribution.

A. The trials are dependent.

B. The data are not binary.

C. Probabilities of success for trials (bids) differ for each trial

D. The number of bids varies.

E. The trials are independent

F.There are a fixed number of bids.

G. There is the same probability of success for each trial (bid)

H. The data are binary

b. The probability of winning exactly 1 bid is (Round to four decimal places as needed.)

c. Find the probability that you win 1 bid or fewer.

d. Find the probability that you win more than 1 bid.

Solution

a) A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

It usually consists of a fixed number of runs/trials with only two possible outcomes, a success or a failure. The outcome of each trial/run of a binomial experiment is independent of one another.

Hence, the correct options are

E. The trials are independent.

F.There are a fixed number of bids.

G. There is the same probability of success for each trial (bid).

H. The data are binary (you either win the bid or not, that is, success or failure).

b) Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = total number of bids available = 3

x = Number of successes required = winning exactly 1

p = probability of success = probability of winning a bid = 30% = 0.30

q = probability of failure = probability of NOT winning a bid = 1 - p = 1 - 0.30 = 0.70

P(X = 1) = ³C₁ (0.3)¹ (0.7)³⁻¹ = 0.4410 to 4 d.p.

c) The probability that you win 1 bid or fewer.

n = total number of sample spaces = total number of bids available = 3

x = Number of successes required = winning 1 or fewer bid = ≤ 1 = 0, 1

p = probability of success = probability of winning a bid = 30% = 0.30

q = probability of failure = probability of NOT winning a bid = 1 - p = 1 - 0.30 = 0.70

P(X ≤ 1) = P(X = 0) + P(X = 1)

P(X = 0) = ³C₀ (0.3)⁰ (0.7)³⁻⁰ = 0.343

P(X = 1) = 0.441 (as calculated in (b) above)

P(X ≤ 1) = 0.343 + 0.441 = 0.784

d) Probability that you win more than 1 bid

n = total number of sample spaces = total number of bids available = 3

x = Number of successes required = winning more than 1 bid = >1 = 2, 3

p = probability of success = probability of winning a bid = 30% = 0.30

q = probability of failure = probability of NOT winning a bid = 1 - p = 1 - 0.30 = 0.70

P(X > 1) = P(X = 2) + P(X = 3)

P(X = 2) = ³C₂ (0.3)² (0.7)³⁻² = 0.189

P(X = 3) = ³C₃ (0.3)³ (0.7)³⁻³ = 0.027

P(X > 1) = 0.189 + 0.027 = 0.2160

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