Determine whether the scenario involves independent or dependent events

A basket contains six apples and four peaches. You randomly select a piece of
fruit and then return it to the basket. Then you randomly select another piece of fruit.
Both pieces of fruit are apples.
A) Independent
B) Dependent

The measure of the largest angle is 87°. The solution has been obtained using angle sum property of triangle.

What is angle sum property?

The inner angles of a triangle add up to 180°, which is known as the triangle's "angle sum property."

Let the smallest angle be 'x'.

We are given that one angle in a triangle has a measure that is three times as large as the smallest angle.

So, the angle is 3x.

Also, we are given that the measure of the third angle is 35 degrees more than that of the smallest angle.

So, the third angle is (x+35).

Now, using angle sum property, we get

⇒x + (x+35) + 3x = 180

⇒5x + 35 = 180

⇒5x = 145

⇒x = 29°

So, other angles come out to be

3x = 29*3 = 87°

x+35 = 29+35 = 64°

Hence, the measure of the largest angle is 87°.

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The answer is $7.02  including Sales tax.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government. A company is liable for sales taxes in a particular jurisdiction if it has a nexus there, which, depending on the local rules, can be a physical location, an employee, an affiliate, or some other presence.

Formula:- Total Sales Tax = Cost of item x Sales tax rate.

6.5 x 8% = $.52 = 52 cents

add .52 + 6.50 = $7.02 for all suppliers

$1.50 x 8% =  12 cents

$1.25 x 8% = 10 cents

$0.75 x 8% = 6 cent

$3.00 x 8% = 24 cents

12+10+6+24 = 52 cents = $0.52

$6.50 + $0.52 = $7.02

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By property of congruence of triangles we must have ∠M=∠D

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given here: TH=SE,TM=SD, ME=HD

Thus by SSS property of congruence we must have ΔEDS≅ΔHMT

Therefore by property of congruence we must have ∠M=∠D

Hence, by property of congruence we must have ∠M=∠D

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Answer: The z-score, also known as the standard score, is a measure of how many standard deviations an individual's score is from the mean. To calculate the z-score, we can use the following formula:

z-score = (x - μ) / σ

Where x is the individual's score, μ is the mean, and σ is the standard deviation.

In this case, the mean is 140, the standard deviation is 40, and the individual's score is 48. So, we can plug these values into the formula:

z-score = (48 - 140) / 40

z-score = -3

So, the person who scored 48 on the exam has a z-score of -3 which means the score is 3 standard deviation below the mean.

Step-by-step explanation:

Answer:-2

Step-by-step explanation: i put in -3 DM said it was wrong. its -2

By assertions Chelsie's claim is true because it has been multiplied by 4, and the result of 16 and 4 is symbolized by y.

The unit method is a type of troubles where you first evaluate the price of a specific unit, then multiply that value to get the answer. Simply written, a minimum unit value is extracted from a specified multiple using the unit method. For contrast, 40 pens will costs you 400 rupees, or $1.01. The strategy used to perform this might be defined. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its homologue and reciprocal are equivalent. (Linear Equation is an equation, Quantitative Analysis, Mathematics of Matrix or Operators)

given

Mary multiplied 16 by 4.

Since it states that 16 + 4 = x

x = 4 is incorrect, it is divided.

Chelsie divided 16 by 4, and the result was

16 x 4 = y

y = 64, which is the right answer according to the statement.

By assertions Chelsie's claim is true because it has been multiplied by 4, and the result of 16 and 4 is symbolized by y.

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Answer: w=-1

Step-by-step explanation:

Therefore , the solution of the given problem of polynomials comes out to be (a, b, c, d) = (1, -5, 1, 3) , (2, -12, 1, 3) and (4, 2, 1, 2).

A polynomial is a mathematical expression that solely uses additions, erasures, multiplications, and powers of positive integer variables. It is composed of coefficients and uncertainty. A single uncertain x polynomial is indicated by the expression x2 4x + 7. In mathematics, a polynomial is a mathematical equation made up of variables and factors that can be added, subtracted, duplicated, and raised to negatives integer powers.

Here,

Given :

Factors can obviously be stated in any sequence.

There are thus various responses to this question.

1. x² -2x -15

=> (x -5)(x +3)

(a, b, c, d) = (1, -5, 1, 3)

2. 2x² -6x -36

= > 2(x² -3x -18)

=> 2(x -6)(x +3)

(a, b, c, d) = (2, -12, 1, 3)

3. 4x² +10x +4

=> 2(2x² +5x +2)

=> 2(2x +1)(x +2)

(a, b, c, d) = (4, 2, 1, 2)

Therefore , the solution of the given problem of polynomials comes out to be (a, b, c, d) = (1, -5, 1, 3) , (2, -12, 1, 3) and (4, 2, 1, 2).

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Answer:47

Step-by-step explanation:

complementary angles are angles that add up to 90.

Writing this as an equation and using x so substitute for unknown values, we have:

     x +(x+4) = 90

    2x+4 = 90

subtract 4 from both sides

   2x = 86

now divide by 2

  x = 43

To find the larger one, we add 4 to this : 47

Answer:

x = 30

Step-by-step explanation:

Answer:

55 - 19.95 = 35.05

35.05 > 28.50

she can buy 3 shirts and one pair of pants

Step-by-step explanation:

Answer:

yeah “w” would just be 100-36 which is 64.

Answer:

Last year they earned 269.28

Answer:

(i)The value of the ratio=250/3feet per second

(ii)Unit rate=250/3feet per second

(iii){Where, k is the constant of proportionality}

k= Distance/Time =250/3feet per second

Step-by-step explanation:

The distributive property can be used to eliminate the parentheses in the equation.

The value of h in the equation -10 + 6(h - 8) = -4(2h + 3) is 3.29.

To use the distributive property, we would first multiply the -4 and 2h inside the first set of parentheses, and -4 and 3 inside the second set of parentheses.

-10 + 6(h - 8) = -4(2h + 3)

-10 + 6h - 48 = -8h - 12

Collect the like terms

6h + 8h = -12 + 10 + 48

14h = 46

h = 46 / 14

h = 3.29

The value of h is 9.

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Answer:

-10 + 6(h - 8) = -4(2h + 3)

-10 + 6h - 48 = -8h - 12

Collect the like terms

6h + 8h = -12 + 10 + 48

14h = 46

h = 46 / 14

h = 3.29

Step-by-step explanation:

This equation doesn't have any real solutions.

[tex]\frac{1}{6} (3x-6)=\frac{1}{8} (4x+8)[/tex]

Here, we apply the distributive property of multiplication (check attached image 1).

[tex](\frac{1}{6} )(3x)+(\frac{1}{6})(-6)=(\frac{1}{8})(4x)+(\frac{1}{8})(8)\\ \\\frac{3x}{6} +(\frac{-6}{6})=(\frac{4x}{8} )+(\frac{8}{8} )\\ \\\frac{1}{2} x+(-1)=\frac{1}{2}x+1\\ \\\frac{1}{2} x-1=\frac{1}{2}x+1[/tex]

[tex]\frac{1}{2} x-1+1=\frac{1}{2}x+1+1\\ \\\frac{1}{2} x=\frac{1}{2}x+2[/tex]

[tex]\frac{1}{2} x-\frac{1}{2} x=\frac{1}{2}x+2-\frac{1}{2} x\\ \\0=2[/tex]

This equation doesn't have any real solutions, because when we got a false statement (0=2) when attempting to solve it.

Check attached image 2 to see a representation of this problem.

See how the lines never meet, that means that there isn't an x value that makes these lines meet, because they have the same slope, making them be parallel to each other. Therefore, there's not a real solution for this problem.

well, in the II Quadrant, let's recall the sine or opposite side is positive, whilst the cosine or adjacent side is negative, so hmm

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\underset{hypotenuse}{13}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{13^2 - 5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12=a\implies \stackrel{II~Quadrant}{-12=a} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\underset{hypotenuse}{13}}~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{5}}{\underset{adjacent}{-12}} ~\hfill cot(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\underset{opposite}{5}}~\hfill \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{13}}{\underset{adjacent}{-12}}\hspace{3.2em} csc(\theta )=\cfrac{\stackrel{hypotenuse}{13}}{\underset{opposite}{5}}[/tex]

On solving the provided question we can say that by equation in 1 year , let it grow x feet,  5x = 8 => x = 8/5 => x = 1.6

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Tree A grows at a rate of 1.5 feet per year

tree B in 2 year 3.2 ft

5 years = 8 feet

by equation

in 1 year , let it grow x feet,  5x = 8 => x = 8/5 => x = 1.6

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The rational numbers are -1.75, -3/4, 1/4, 0.75, 1 1/2

You should recall that a rational number is a number that can be expressed as the quotient or fraction. A Rational Number can be made by dividing two integers

The number line contains all real integers positive and negative

Starting from left to right the numbers  should be

-1.75, -3/4, 1/4, 0.75, 1 1/2

Simply go from the smallest to the largest number.

If it's a negative the bigger the number is actually going to be less

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Area, A, is x times y. Rectangle: 5.5 in x 14.4 in = 77.2 [tex]in^{2}[/tex]

Triangle: (1/2) x 3.3 in x 6.1 in = 9.945 [tex]in^{2}[/tex]

The area of a form is the measurement of its surface. To calculate the area of a rectangle or square, multiply the length and breadth of the rectangle or square. A is equal to x times y. To summarize, scale drawings share a proportionality constant, ‘k,’ which explains the connection between similar lengths in the scaled picture and the original. The scaled area may be calculated by multiplying the original area by the square of ‘k’.

Actual cash value (ACV) is a method of determining the worth of your commercial property that is being repaired or replaced due to covered damage. ACV is calculated by deducting depreciation from the replacement cost value of an item.

The shape is a rectangular prism, which has three dimensions - length, width, and height. The length is 5.5 inches, the width is 14.4 inches, and the height is 3.3 inches. To calculate the area of this shape, we need to calculate the area of all six faces.

The area of the two side faces (length x height): 5.5 in x 3.3 in = 18.15 [tex]in^{2}[/tex]

The area of the top face (length x width): 5.5 in x 14.4 in = 78.8 [tex]in^{2}[/tex]

The area of the bottom face (length x width): 5.5 in x 14.4 in = 78.8 [tex]in^{2}[/tex].

The area of the front and back faces (width x height): 14.4 in x 3.3 in = 47.52 [tex]in^{2}[/tex]

The total area of the rectangular prism is 18.15 [tex]in^{2}[/tex] + 78.8 [tex]in^{2}[/tex] + 78.8 [tex]in^{2}[/tex] + 47.52 [tex]in^{2}[/tex] = 223.35 [tex]in^{2}[/tex]

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Starting temperature 29 degrees would serve as the beginning point.

The term "initial value" describes a variable's initial value, which is its value at the start of a process or time period. A variable's end value or value at the conclusion of a procedure or time frame is referred to as its final value.

The initial value in the context of a mathematical function would be the value of the function at the start of the domain, and the final value would be the value of the function at the end of the domain.

If in the course of six hours, the outside temperature fell by 23 degrees. A beginning temperature of 29 degrees (-6 + 23) would be appropriate given the final temperature of -6.

(-6 + 23) would equal 29 degrees as the beginning temperature.

In this case, 29 degrees would be the beginning temperature.

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Answer:

x = 140

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

sum the 6 interior angles and equate to 720

x + 90 + 104 + 123 + 155 + 108 = 720

x + 580 = 720 ( subtract 580 from both sides )

x = 140

The function rule that models the amount I spend on my car per month is 299m.

The total cost after the full term of the lease will be c = 2500 + 299m

From the information given, it should be noted that it was stated that in order to lease the car, the person put $2500 down and then paid $299 per month

The function rule that models the amount I spend on my car per month is:

= 299 × m

= 299m.

The total cost after the full term of the lease will be:

= 2500 + (299 × m)

= 2500 + 299m

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The difference  between a simple random sample and a systematic sample are;

(5).In a systematic sample, the only samples possible are those including every kth item from the random starting position.

(8).In a simple random sample, every sample of size n has an equal chance of being included.

A simple random sample is defined as a subset of a statistical population whereby each member of the subset has an equal probability or chance of being chosen or selected.

Meanwhile systematic sampling is defined as a probability sampling method where researchers select members of the population at a regular interval.

Looking at the given options, we can conclude that the correct ones are;

In a simple random sample, every sample of size n has an equal chance of being included.

In a systematic sample, the only samples possible are those including every kth item from the random starting position.

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At the same rate, the amount of water that she drinks in an hour will be 4.5 ounce.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

On average shown drinks 1/2 of a 6-ounce glass of water for 2/3 hour.

Amount that Shawnte drinks = 1/2 of 6 ounces = 3 ounces

3 ounces for 2/3 hour

Per hour = 3 x 3/2 = 9/2 = 4.5 ounce

Hence "At the same rate, the amount of water that she drinks in an hour will be 4.5 ounce.".

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Answer:

8:27

Step-by-step explanation:

The ratio of the surface areas is 4:9

Taking the square roots of each side, we can get the ratio of the scale factors

sqrt(4) : sqrt(9)

2 : 3

The get the ratios of the volumes, we cube each side

2^3  : 3^3

8   : 27

The ratio of the volumes is 8:27

Answer:

Step-by-step explanation: