What is the probability of the compound event of spinning a 3 on a 5 number spinner and landing on tails with a coin.​

Answer:

i think in order it would go c, b, d

Answer:

1. D

2. B

3. A

Step-by-step explanation:

1. This is the only graph with a negative y-int.

2. Proportional means the graph has a y-int of zero and this graph is the only graph that does.

3. This is the only graph with a positive slope.

Answer:

hi

Step-by-step explanation:

84⁰+103⁰+120⁰=307⁰

360⁰-307⁰=53⁰

x is 53⁰

have a nice day

Answer:

x=53

Step-by-step explanation:

A quadrilateral has four sides, four vertices and its  interior angles that add to 360 degrees:.

360 -120-103-84-= x

360-307 = x

53 = x

Answer:

A number line going from 95 to 103. A closed circle is at 98.6. Everything to the right of the circle is shaded.

Step-by-step explanation:

We want to determine the graph of \(x\geq 98.6.\)

Since we have the sign, \(\geq\), we use a closed circle to show that the number 98.6 is included in the domain of definition.

Then since the sign is greater than, we shade to the right of 98.6.

The correct option is A.

I will say it fast the answer is A

Step-by-step explanation:

And hi

Answer:

answer it yourself

Step-by-step explanation:

After answering the given query, we can state that Consequently, P1's coordinates values are (-9, -3). So, the appropriate choice is (-9,-3).

When locating points or another geometrical entities precisely on a manifold of spaces, such as a Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a plane in two dimensions requires the use of coordinates, which are pairs of integers. Two numbers called the coordinates of x and y are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations. The figure typically contains two digits. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are twelve fractions below as well as 5 above.

The scale factor is 3/2, and the center of dilation is at the beginning (0,0). We must use the elongation formula to determine P1's coordinates:

P¹ = (3/2) * P

where P represents the spot P's initial coordinates.

When we substitute P's coordinates, we obtain:

P¹ = (3/2) * (-6, -2) = (-9, -3)

Consequently, P1's values are (-9, -3). So, the appropriate choice is (-9,-3).

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The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.

The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern.

Given the least square regression model equation:

y hat = -959.00 + 8.60x

weld diameter x ; shear strength y (in pounds)

1 lb = 0.4536 kg

To express shear strength y in kilogram:

y is multiplied by 0.4536

(y hat × 0.4536) = -959.00 + 8.60x

Divide both sides by 0.4536

(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536

y hat = 2114.1975 + 18.959435x

y hat = 2114.20 + 18.96x

The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.

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Disclaimer

The question given by you is incomplete, the above answer is done as per a similar question

The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern. The least-squares line is y hat = -959.00 + 8.60x. Because 1 lb = 0.4536 kg, strength observations can be re-expressed in kilograms through multiplication by this conversion factor: new y = 0.4536(old y). What is the equation of the least-squares line when y is expressed in kilograms? (Give the answer to two decimal places.)

Answer:

3,000,000

Step-by-step explanation:

Answer:

5x

Step-by-step explanation:

2+3=5 with the variable

Answer:

y = 32

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 16 when x = 8, then

16 = 8k ( divide both sides by 8 )

2 = k

y = 2x ← equation of variation

When x = 16, then

y = 2 × 16 = 32

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer: Negative 2 is less because you would still have more positives than negatives.

e

Answer: less than

Explanation: On a number line, all negative integers are to the left of the positive integers. So negative integers are always less than positive integers.

Answer: 25, 20, 15, 10, 5.

Step-by-step explanation:

The first five terms of the sequence are:

25, 20, 15, 10, 5.

To find the nth term, we use the formula:

an = an-1 - 5

Starting with a1 = 25:

a2 = a1 - 5 = 25 - 5 = 20

a3 = a2 - 5 = 20 - 5 = 15

a4 = a3 - 5 = 15 - 5 = 10

a5 = a4 - 5 = 10 - 5 = 5

So, the first five terms are 25, 20, 15, 10, 5.

Answer:

The shown in the diagram shows that

more the height , lesser will be the distance covered.

Here the point A Is maximum relative.

because if its X value is increased , it's Y value will decreased.

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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The relative frequency of business majors in the given table survey is: 0.24

Relative frequency is defined as the number of times an event occurs divided by the total number of events occurring in a given scenario

To calculate the relative frequency the following must be known:

- Number of total events/trials

- Frequency count for a category/subgroup

We want to find the relative frequency of business majors in the given table.

Total number of business majors = 37 + 38 = 75

Total number of students in the survey = 318

Thus:

Relative Frequency = 75/318 = 0.2358 ≈ 0.24

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The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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Using the normal distribution, it is found that:

a) The 65th percentile is of 37.31.

b) The 90th percentile is of 42.68.

c) There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.

d) There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

Question a:

The 65th percentile is X when Z has a p-value of 0.65, so X when Z = 0.385.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.385 = \frac{X - 35}{6}\)

\(X - 35 = 0.385(6)\)

\(X = 37.31\)

The 65th percentile is of 37.31.

Question b:

The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.28 = \frac{X - 35}{6}\)

\(X - 35 = 1.28(6)\)

\(X = 42.68\)

The 90th percentile is of 42.68.

Question c:

The probability is the p-value of Z when X = 38 subtracted by the p-value of Z when X = 28, hence:

X = 38:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{38 - 35}{6}\)

\(Z = 0.5\)

\(Z = 0.5\) has a p-value of 0.6915.

X = 28:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{28 - 35}{6}\)

\(Z = -1.17\)

\(Z = -1.17\) has a p-value of 0.121.

0.6915 - 0.121 = 0.5705.

There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.

Question d:

The probability is the p-value of Z when X = 44 subtracted by the p-value of Z when X = 41, hence:

X = 44:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{44 - 35}{6}\)

\(Z = 1.5\)

\(Z = 1.5\) has a p-value of 0.9332.

X = 41:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{41 - 35}{6}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.8413.

0.9332 - 0.8413 = 0.0919

There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.

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Answer:

The custodian will be able to repaint 7 bookcases with the amount of paint.

Step-by-step explanation:

The custodian  has  5 1/4 gallons of  paint, to find the number of bookcases the custodian will be able to repaint with this amount of paint if each bookcase requires 3/4 gallons, then we will simply divide 5 1/4 by 3/4 to give  us the number.

But first we need to change 5 1/4 to improper fraction,

thus; 5 1/4 =  

5 1/4 ÷3/4   =   ÷

(We will want to change the division sign to multiplication, to do that, we will have to take the inverse of 3/4 which is 4/3 hence;

                   = ×

4 will cancel out 4 hence;

                    =

                    = 7

Therefore the custodian will be able to repaint 7 bookcases with the amount of paint.

Answer:400

Step-by-step explanation: 12/3= 4 4x100= 400

The diameter of the circle is AB and option b is the correct answer.

The diameter of a circle is the distance along which the circumference begins at one end and terminates at the other. Its length is double that of the circle's radius. In other words, the line that splits a circle into two equal pieces and runs through its centre is the diameter of the circle. Every straight line segment that traverses a circle's centre and has its endpoints on its circumference is said to have a diameter of that circle. The diameter is also referred to as the circle's longest chord.

We know that, the diameter of the circle is the longest segment that passes through the center of the circle.

From the given figure we observe that, the segment AB passes through the center and connects with the circle on either side.

Hence, the diameter of the circle is AB and option b is the correct answer.

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Answer:

AB

Step-by-step explanation:

The average of the other 3 numbers is 72.

Average or mean is a measure of central tendency which calculates the central point of a data-set.

Average of a set of numbers is calculated by taking the sum of the numbers and dividing it by the total frequency of the numbers.

If 3 numbers a , b and c are taken then the average is equal to

(a+b+c) ÷3

Given average of 5 numbers is 72.

Therefore the sum of the numbers is  72 × 5 = 360

Two of the numbers are 70 and 74 .

Sum of the remaining 3 numbers = 360 - (70 + 74) = 360 - 144 = 216

Average of the 3 numbers = 216 ÷ 3 = 72

Therefore the average of the remaining 3 numbers is 72.

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A conjecture and a hypothesis are preliminary ideas that require further investigation, while a theory is a well-established framework that has withstood rigorous testing and scrutiny.

A conjecture is a statement that is believed to be true based on limited evidence or intuition, but has not yet been proven. It is essentially an educated guess, and requires further testing and analysis to be confirmed or refuted.

A hypothesis is a tentative explanation for a phenomenon or observation that is based on limited evidence or prior knowledge. It is often formulated as a testable prediction that can be supported or disproven through further investigation.

A theory, on the other hand, is a well-substantiated explanation of a natural phenomenon that is supported by a large body of empirical evidence and has been rigorously tested and confirmed through multiple lines of inquiry.

It is a broad and comprehensive framework that can explain a wide range of phenomena and is widely accepted within the scientific community.

The distinction between these terms is important because it reflects the level of evidence and confidence in the statement being made. It is important to use the appropriate term depending on the level of evidence and confidence in the statement being made.

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The points of horizontal tangency on the polar curve r = 4csc(θ) + 5, where 0 < θ < 2π, are (9, π/2) (smaller r-value) and (1, 3π/2) (larger r-value).

To find the points of horizontal tangency to the polar curve given by r = 4csc(θ) + 5, where 0 < θ < 2π, we need to find the values of θ where the derivative of r with respect to θ is equal to zero.

First, let's express r in terms of θ using the trigonometric identity csc(θ) = 1/sin(θ):

r = 4csc(θ) + 5

r = 4/(sin(θ)) + 5

Now, let's find the derivative of r with respect to θ:

dr/dθ = d/dθ (4/(sin(θ)) + 5)

dr/dθ = -4cos(θ)/(sin²(θ))

To find the points of horizontal tangency, we need to solve the equation dr/dθ = 0. In this case, that means solving -4cos(θ)/(sin²(θ)) = 0.

Since the denominator sin²(θ) is never zero, the only way for the equation to be true is if the numerator -4cos(θ) is equal to zero. This occurs when cos(θ) = 0, which happens at θ = π/2 and θ = 3π/2.

Now, let's find the corresponding values of r at these angles:

For θ = π/2:

r = 4csc(π/2) + 5

r = 4(1) + 5

r = 9

For θ = 3π/2:

r = 4csc(3π/2) + 5

r = 4(-1) + 5

r = 1

Therefore, the points of horizontal tangency on the polar curve r = 4csc(θ) + 5, where 0 < θ < 2π, are (9, π/2) (smaller r-value) and (1, 3π/2) (larger r-value).

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Answer:

C

Step-by-step explanation:

A. 81 + 144 = 225. Is Pythagorean triple.

B. 25 + 144 = 169. Is Pythagorean triple.

C. 16 + 36 = 52, but 7² is 49. Is not Pythagorean triple.

D. 36 + 64 = 100. Is Pythagorean triple.

Area = ∫[π/12, 5π/12] (144sin²(2θ) - 36)dθ

What is Utility?

Utility is a term in economics that refers to the total satisfaction gained from the consumption of a good or service... The economic utility of a good or service is important to understand because it directly affects the demand and therefore the price of that good. or service.

We can use a graphing utility such as Desmos to plot the polar equations and find the area of ​​the common interior region. Here are the steps:

Enter the first polar equation in the input line: r = 12sin(2θ).

Press Enter to plot the graph.

Enter the second polar equation in the input line: r = 6.

Press Enter to plot the graph.

If necessary, adjust the display window to see the intersection of the two graphs.

12sin(2θ) = 6

Dividing both sides by 6:

sin(2θ) = 0.5

Using the identity sin(2θ) = 2sin(θ)cos(θ):

2sin(θ)cos(θ) = 0.5

sin(θ)cos(θ) = 0.25

Now, we can solve this equation to find the values of θ that satisfy it. Since sin(θ)cos(θ) = 0.25 is positive, we know that θ lies in the first and third quadrants.

sin(θ)cos(θ) = 0.25

0.5sin(2θ) = 0.25

sin(2θ) = 0.5

2θ = π/6 or 5π/6 (since θ lies in the first and third quadrants)

θ = π/12 or 5π/12

So, the points of intersection between the two curves are θ = π/12 and θ = 5π/12.

To find the area of the common interior, we set up the integral using the formula:

Area = (1/2)∫[θ1,θ2] (r²)dθ

where θ1 and θ2 are the angles of intersection.

Since the curves are symmetric about the y-axis, we can find the area for one half and then double it.

Area = 2 * (1/2)∫[π/12, 5π/12] (r²)dθ

Now, let's express r² in terms of θ for each curve:

For r = 12sin(2θ):

r² = (12sin(2θ))² = 144sin²(2θ)

For r = 6:

r² = 6² = 36

Plugging these expressions into the integral:

Area = ∫[π/12, 5π/12] (144sin²(2θ) - 36)dθ

The resulting value will be the area of ​​the common internal region.

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Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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For figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

What is the Basic Proportionality Theorem?

The Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle that intersects the other sides into two distinct points, then the line divides those sides in proportion.

Figure 2)

By using the Basic Proportionality Theorem, we can write

                        \(\frac{11}{22}=\frac{x}{42-x}\\\\\frac{1}{2}=\frac{x}{42-x}\\\\42-x=2x\\\\3x=42\\\\x=14\)

Now for figure 3)

            By using Pythagoras' theorem, we can write

                        \(24^2+(x+7)^2=(2x-10)^2\\\\576+x^2+14x+49=4x^2-40x+100\\\\3x^2-54x+51=0\\\\x^2-18x+17=0\\\\x^2-17x-x+17=0\\\\(x-17)(x-1)=0\\\\x=17 $ or $ x=1\)

Hence, for figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

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Answer:

X1=-4

X2=-4

two answer with the same result

Step-by-step explanation:

the quadratic formula is -b+/-√(b²-4ac)

where A is the number that multiplies x², B is the number that multiplies x and C is the number that does not have x.

if you put the number A B C in the formula under the √ you will have 16-16 that means 0 so the only results is the -B

sorry my really bad English is not my first language