The number of purses a vendor sells daily has the probability distribution represented in the table. Number of Purses, x 0 1 2 3 4 5 P(x) 0.35 0.15 0.2 0.2 0.03 0.07 If each purse sells for $50.00, what is the expected daily total dollar amount taken in by the vendor from the sale of purses? $1.62 $35.00 $79.30 $81.00 $162.00

Answer:

No.

Step-by-step explanation:

Since 3x²y has an x² and -8xy² has a y², they are not like terms. Since they are different terms, you cannot add them together.

1/3 is the rate of change (slope) given the set of data points below

To find the rate of change (slope) given the set of data points, we can use the formula for slope:

slope = (change in y) / (change in x)

Using the given points:

Point 1: (10, 19)

Point 2: (4, 17)

Point 3: (-2, 15)

Point 4: (-8, 13)

We can calculate the slope between each pair of points:

Slope between Point 1 and Point 2:

slope = (17 - 19) / (4 - 10) = -2 / -6 = 1/3

Slope between Point 2 and Point 3:

slope = (15 - 17) / (-2 - 4) = -2 / -6 = 1/3

Slope between Point 3 and Point 4:

slope = (13 - 15) / (-8 - (-2)) = -2 / -6 = 1/3

The rate of change (slope) between these points is consistent and equal to 1/3.

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To calculate the total amount that Mary must pay back at the end of the loan period, we need to calculate the interest and add it to the principal amount.

Step 1: Calculate the interest:
Interest = Principal * Rate * Time
       = $1700 * 0.09 * 4
       = $612

Step 2: Add the interest to the principal amount:
Total amount = Principal + Interest
            = $1700 + $612
            = $2312

Therefore, Mary must pay back a total amount of $2312 at the end of the loan period.

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The answer is: Oscar's number is 210.

What is Sum?

In mathematics, the sum is the result of adding two or more numbers or quantities together. It is a basic arithmetic operation and is often denoted by the symbol "+".

To solve this question, we need to find a number that satisfies the following conditions:

The number is between 200 and 220.

The number is divisible by 6.

The sum of all the digits is 3.

Let's start by finding all the multiples of 6 that are between 200 and 220:

204 = 2 + 0 + 4 = 6

210 = 2 + 1 + 0 = 3

216 = 2 + 1 + 6 = 9

Out of these numbers, only 210 has a sum of digits that is equal to 3. Therefore, the number that Oscar is thinking of is 210.

To check that 210 is between 200 and 220, we can see that it is indeed between the two numbers:

200 < 210 < 220

And to check that 210 is divisible by 6, we can see that:

210 ÷ 6 = 35

Therefore, the answer is: Oscar's number is 210.

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Answer:

the answer is 3/4 because 7/12 + 2/12 is 9/12 which simplified is 3/4

Step-by-step explanation:

Hello!

1/6 ≈ 0.167

the answer is 0.167

Answer:

\(\displaystyle y-1=\frac{1}{3}(x+3)\)

Step-by-step explanation:

Equation of a Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\(\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

The table shows the relation between x and y. It contains the following points

(-3,1), (6,4), (12,6), (30,12).

Taking the two first points, we find the equation of the line:

\(\displaystyle y-1=\frac{4-1}{6+3}(x+3)\)

\(\displaystyle y-1=\frac{3}{9}(x+3)\)

Simplifying:

\(\displaystyle y-1=\frac{1}{3}(x+3)\)

To ensure the rest of the points belong to the line, we test them:

For the point (12,6):

\(\displaystyle 6-1=\frac{1}{3}(12+3)\)

\(\displaystyle 5=\frac{1}{3}(15)\)

5=5

Since equality is true, the point belongs to the line.

For the point (30,12):

\(\displaystyle 12-1=\frac{1}{3}(30+3)\)

\(\displaystyle 11=\frac{1}{3}(33)\)

11=11

Since equality is true, the point belongs to the line.

Thus, the equation of the line is:

\(\mathbf{\displaystyle y-1=\frac{1}{3}(x+3)}\)

Answer: m = 7

7 x 2 = 14

idk anymore

Steps to solve:

m² = 14

~Take the square root of both sides

√m² = √14

~Simplify

m = ±√14

Best of Luck!

Product of -6 and -5

Answer:

30

Step-by-step explanation:

as...

-6 × -5

minus and minus git cancelled

u r left with 6 × 5

nd that's 30

Answer:

18 blueberries

Step-by-step explanation:

also nice zoro profile pic

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.

Here,

X υ N (22,1)

Probability that  basketball  will weigh between 20.5 and 23.5

is:

=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1   ]

=>   P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)

=>  P(20.5 < x < 23.5) = 0.866

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

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Answer:

This is your answer ☺️

Rationalizing the denominator of the expression, it is found that the simplified expression is given by:

\(\frac{\sqrt{6}(12x + 20x^2) + 3\sqrt{x} + 5\sqrt{x^3}}{x(96x - x)}\)

It is given by:

\(\frac{3 + 5\sqrt{x^2}}{4\sqrt{6x^2} - \sqrt{x}}\)

We rationalize the denominator, using the subtraction of perfect squares, hence:

\(\frac{3 + 5\sqrt{x^2}}{4\sqrt{6x^2} - \sqrt{x}} \times \frac{4\sqrt{6x^2} + \sqrt{x}}{4\sqrt{6x^2} + \sqrt{x}}\)

Then, solving the expression:

\(\frac{(3 + 5\sqrt{x^2})(4\sqrt{6x^2} + \sqrt{x})}{16(6x^2) - x}\)

\(\frac{12\sqrt{6x^2} + 3\sqrt{x} + 20x^2\sqrt{6} + 5\sqrt{x^3}}{96x^2 - x}\)

\(\frac{\sqrt{6}(12x + 20x^2) + 3\sqrt{x} + 5\sqrt{x^3}}{x(96x - x)}\)

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Answer:

x ≈ 63.5°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle = x°

Opposite Leg = 17

Hypotenuse = 19

Step 2: Solve for x

Answer:

I want to say that X= 62.8 or 63  17/19= 0.89 arcsin= 62.8 rounded 63

Step-by-step explanation:

The graph of g(x) is the graph of f(x) stretched vertically and reflected over the axis.

The correct option is C.

We can compare the graphs of two functions f(x)=x² and g(x)=-2/3 x² by determining their vertices, domain, range, axis of symmetry, and shape of the graphs. The vertex of f(x)=x² is at the origin (0,0), which means that the parabola opens upward and is symmetrical around the y-axis.

The domain is all real numbers, and the range is y≥0. The axis of symmetry is the y-axis. On the other hand, the vertex of g(x)=-2/3 x² is also at the origin, and it opens downward. It is also symmetrical around the y-axis. The domain is all real numbers, and the range is y≤0.

The axis of symmetry is the y-axis, just like f(x).It is important to remember that g(x) is the negative of f(x), which indicates that g(x) is reflected across the x-axis. Furthermore, the stretch factor is 2/3, which makes the graph of g(x) flatter than the graph of f(x) and it is  stretched vertically and reflects over x axis(option c).

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Answer:

R3. Definition of Linera Pair

S4. m∠3 +m∠4 =180°

R5.  Substitution Property of Equality

I'm not sure if it's right but I tried :/

lmk if it's wrong

The area of the shaded portion of the diagram is 218 mm².

The area of the shaded portion of the diagram can be found by subtracting the area of the triangle XYZ from the the area of the circle.

Area of triangle XYZ = 1/2 * YZ * XY

YZ = 16 mm, XZ = 2 * 10 = 20 mm (XZ is the diameter of the circle)

XY = √(20²-16²) = 12 mm      (Pythagoras' theorem)

Area of triangle XYZ = 1/2 * 16 * 12 = 96 mm²

Area of circle = πr²

Area of circle = 3.14 * 10² = 314 mm²

area of the shaded portion = area of circle - Area of triangle XYZ

area of the shaded portion = 314 - 96 = 218 mm²

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Complete Question

The image of the question is attached

the value of tan(3π/4 + 7π) is 1. we can get this answer by using  the trigonometric identity tan(x + π) = -tan(x) . to rewrite expression

what is trigonometric identity?

A trigonometric identity is an equation that is true for all values of the variables in the equation, where the variables are angles or trigonometric functions of angles. Trigonometric identities are important in mathematics, physics, and engineering,

what is expression?

itis a mathematical phrase  containing numbers, variables, and mathematical operations some of them are addition, subtraction, multiplication, and division. It represents a mathematical relationship between one or more quantities or variables.

In the given question,

We know that the value of tan(3π/4) is -1.Now, let's consider the expression tan(3π/4 + 7π).We can use the following trigonometric identity to rewrite this expression:

tan(x + π) = -tan(x)

tan(3π/4 + 7π) = tan(3π/4 + π + 6π) = -tan(3π/4 + π)

Now, we know that tan(3π/4) is -1, and we can use the following trigonometric identity to find the value of tan(3π/4 + π):

tan(x + π) = -tan(x)

Using this identity, we can rewrite the expression as:

tan(3π/4 + π) = -tan(3π/4) = -(-1) = 1

Therefore, the value of tan(3π/4 + 7π) is 1.

In summary, we used the trigonometric identity tan(x + π) = -tan(x) to rewrite the expression tan(3π/4 + 7π) as -tan(3π/4 + π), and then we used the same identity again to find the value of tan(3π/4 + π), which is 1.

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Answer:

hope this will help you

The error made in subtracting the two rational expressions 1/(x - 2) - 1/x is that the common denominator is not correctly identified and applied.

To subtract rational expressions, we need to find a common denominator and then subtract the numerators. In this case, the common denominator should be (x - 2) * x. However, the error lies in neglecting the parentheses in the first expression, leading to a miscalculation of the common denominator.

The correct subtraction of the given expressions should be: (x - 2)/(x - 2) - 1/(x * (x - 2)). Simplifying this expression further would result in (x - 2 - 1)/(x * (x - 2)), which can be simplified as (x - 3)/(x * (x - 2)).

Therefore, the error made in the subtraction lies in incorrectly identifying and applying the common denominator, which resulted in an inaccurate calculation of the expression.

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Answer:

42000

Step-by-step explanation:

So you first work out what 5 percent is and it is 2,000 and times that by 2

If it isnt that then it would be 76,000 but its not likely.

Answer:

Step-by-step explanation:

Think of it this way. On a coordinate plane if you write out all your values you have (this is an example) such as (0,0) (0,2) (1,2) and want to dilate it by a scale factor of 4 you are multiplying each value meaning x + y by positive 4.

These would become my new coordinates:

(0*4, 0*4) = (0,0)

(0*4, 2*4) = (0, 8)

(1*4, 2*4) = (2, 8)

In this case the same thing is happening to the figure meaning it is getting larger instead of smaller since the scale factor is not negative. I can't see the rest of the answers to give you the answer you're looking for but I hope that this helps you look at dilating and scale factor differently rather than something more complex :)

Answer:

(0*4, 0*4) = (0,0)

(0*4, 2*4) = (0, 8)

(1*4, 2*4) = (2, 8)

Step-by-step explanation:

.

Answer:

-70

Step-by-step explanation:

keep adding -4 until you reach the 18th term for example

-2

-6

-10

-14

-18

-22

-26

-30

-34

-38

-42

-46

-50

-54

-58

-62

-66

-70

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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EXPLANATION

Given the system of equations:

(1) 3x + 5y = -17

(2) 2x + 4y = 6

Multiplying (1) by 2 and (2) by 3:

(1) 6x + 10y = -34

(2) 6x + 12y = 18

Subtracting (2) to (1):

(2) 6x + 12y = 18

-

(1) 6x + 10y = -34

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

2y = 52

Dividing both sides by 2:

y = 52/2

Simplifying:

y = 26

Simplify:

Divide both sides by 6:

Simplify:

The solutions to the system of equations are:

Answer:

7

Step-by-step explanation:

Changing LHS as

Comparing LHS and RHS

If she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

For given question,

a basketball player makes approximately 69% of free throws.

So, the probability of success (p) = 0.69

the probability of failure (q) = 0.31

She plays in a game in which she shoots 7 free throws.

So, n = 7

We need to find the probability that she will make all 7.

Using Binomial probability Distribution,

For x = 7,

\(P(x = 7) =~ ^7C_7\times (0.67)^7\times (0.31)^{7-7}\\\\P(x=7)= 1\times 0.0606\times 0.31\\\\P(x=7)=0.0188\)

Therefore,  if she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

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The result is not equal to zero, (x - 10) is not a factor of x² + 3x - 40.

None of the given expressions (A, B, C, D) are factors of x² + 3x - 40.

To determine which expression is a factor of the given quadratic expression, we need to check if substituting the value from each expression into the quadratic expression results in zero. Let's evaluate each option:

A. (x - 4)

Substituting x - 4 into x² + 3x - 40:

(x - 4)² + 3(x - 4) - 40 = x² - 8x + 16 + 3x - 12 - 40 = x² - 5x - 36

Since the result is not equal to zero, (x - 4) is not a factor of x² + 3x - 40.

B. (x - 5)

Substituting x - 5 into x² + 3x - 40:

(x - 5)² + 3(x - 5) - 40 = x² - 10x + 25 + 3x - 15 - 40 = x² - 7x - 30

Since the result is not equal to zero, (x - 5) is not a factor of x² + 3x - 40.

C. (x - 8)

Substituting x - 8 into x² + 3x - 40:

(x - 8)² + 3(x - 8) - 40 = x² - 16x + 64 + 3x - 24 - 40 = x² - 13x

Since the result is not equal to zero, (x - 8) is not a factor of x² + 3x - 40.

D. (x - 10)

Substituting x - 10 into x² + 3x - 40:

(x - 10)² + 3(x - 10) - 40 = x² - 20x + 100 + 3x - 30 - 40 = x² - 17x + 30

Since the result is not equal to zero, (x - 10) is not a factor of x² + 3x - 40.

None of the given expressions (A, B, C, D) are factors of x² + 3x - 40.

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Answer:

Step-by-step explanation:

The gradient of the line 3y-12x+7=0 is; 4.

According to the question;

We are responsible to determine the gradient of the line 3y-12x+7=0.

To do this; we must rewrite the equation 3y-12x+7=0 in the slope-intercept form as follows;

3y-12x+7=0

3y = 12x - 7

y = 4x -7/4

By comparison with; y = mx + c;

where, gradient/slope is m;

The gradient/slope of the line 3y-12x+7=0 is; 4.