In a horse​ race, a particular bet is won if you selected the three horses that finish first, second, and third​, and they can be selected in any order. A certain horse race had a field of 20 horses. What is the probability of winning this bet if you randomly select the​ horses?

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

Answer: 39% chance

Step-by-step explanation: you look it ip on goooogle

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a\((b)^{x}\)

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = a\(b^{0}\) [ \(b^{0}\) = 1 ] , so

a = 3

y = 3\((b)^{x}\)

Using (1, 12 ) , then

12 = 3\(b^{1}\) = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3\((4)^{x}\) → A

Answer:

\(\text{Distance in miles between the cars = 25 miles}\)

Step-by-step explanation:

We can solve this problem by treating the locations of the cars as points on a X-Y coordinate plane

Let the X axis represent the horizontal distances with direction East being positive and direction West being negative

Let Y represent the vertical distance with North being positive and South being negative

The initial position of both cars is (0, 0)

Car 1 travels 8 miles north so it's y coordinate becomes 0 + 8 = 8 and point coordinates become (0, 8)
It then travels 6 miles east which puts its x-coordinate at 0 + 6 = 6 with y-coordinate staying at 8
So position of car 1 is (6, 8)

Car 2 travels 12 miles south first so new y-coordinate = 0- 12 = -12
It then travels 9 miles west so new x-coordinate = 0 - 9 = -9

Position of car 2 is (-9, -12)

The distance between these two points, d is the distance between the cars

The distance between any two points (x1, y1) and (x2, y2) is given by the distance formula

\(d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

If we let (x1, y1) represent the position of car 2 and (x2, y2) the position of car 1 then

\(d = \sqrt {(6 - (-9))^2 + (8 - (-12))^2}\\\\d = \sqrt {(15)^2 + (20)^2}\\\\d = \sqrt {{225} + {400}}\\\\d = \sqrt {625}\\\\d = 25\)

So the distance between the two cars = 25 miles

See attached image for a visual rendering

Answer:

11.232

Step-by-step explanation:

3.12 × 3.6 is 11.232

The value represented by the digit in the ten thousands place is 10 times greater than the value represented by the digit in the thousands place.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

The value represented by the digit in the ten thousands place is 4 times greater than the value represented by the digit in the thousands place.

To see why, we can look at the place value of each digit. The digit in the ten thousands place represents a value of 4 x 10,000 = 40,000. The digit in the thousands place represents a value of 4 x 1,000 = 4,000.

Therefore, the value represented by the digit in the ten thousands place is 40,000/4,000 = 10 times greater than the value represented by the digit in the thousands place.

So, the value represented by the digit in the ten thousands place is 10 times greater than the value represented by the digit in the thousands place.

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To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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Answer:

A: It has no solution

Step-by-step explanation:

1. 3/4z - 1/4z + 3 = 2/4z + 5

2. 2/4z +3 = 2/4z + 5

3. 3 = 5 (No solution because 3 can never be equal to 5)

Step-by-step explanation:

I will do 12 and 14 as examples.

12) Angles of a triangle add up to 180°.

m∠P + m∠Q + m∠R = 180

5x − 14 + x − 5 + 2x − 9 = 180

8x − 28 = 180

8x = 208

x = 26

m∠P = 5x − 14 = 116

m∠Q = x − 5 = 21

m∠R = 2x − 9 = 43

14) If two sides of a triangle are equal, then the angles opposite those sides are also equal.

(Conversely, if two angles are equal, then the sides opposite those angles are also equal.  Such a triangle is called an isosceles triangle.)

BC ≅ BD, so m∠C = m∠D.

5x − 19 = 2x + 14

3x = 33

x = 11

m∠B = 13x − 35 = 108

m∠C = 5x − 19 = 36

m∠D = 2x + 14 = 36

Answer:

\(2\sqrt{10}\)

Step-by-step explanation:

distance = \(\sqrt{(3-(-3))^2+((-1)-1)^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\)

Answer:

d. 80

Step-by-step explanation:

Similarity ratio of ABCD to EFGH = 4:3.

This implies that the ratio of AD to EH = 4:3

If EH = 60, then:

AD:60 = 4:3

AD/60 = 4/3

Multiply both sides by 60

AD = ⁴/3 × 60

AD = 80

Answer:

$63

Step-by-step explanation:

Find out the total amount of units that Jack and Molly have.

5 + 6 = 11

11 units = $77

Find out 1 unit to be able to find out how much Evan receives.

1 unit = $77 ÷ 11 = 7

Evan has 9 units, so find out how much money is 9 units.

9 units = 7 x 9 = $63

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

slope = 9/5

Step-by-step explanation:

as the formula of slope is

slope.= y2-y1/x2-x1

as we know that in the question x1 = 3 , y1 = 5 and x2 = -2 , y2 = -4

put these values in the formula of slope then we get the slope which is equal to (9/5)

Answer:

how far a line goes up

Step-by-step explanation:

rise/run gives the slope of the line

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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Answer:

C. -7/pi/2

Step-by-step explanation:

I calculated it logically

what the question............

Answer:

D

Step-by-step explanation:

Just stating the temperature, hope this helps

Answer:

temperature of 10 degrees

Step-by-step explanation:

every other option is negative, like owing $10 means you will have 10 less dollars, a hole 10 feet deep is 10 feet under the ground's surface, so they would be represented by -10. A temperature of 10 degrees is the only positive option :)

Answer:

2/52

Step-by-step explanation:

If he took one ace out of 52 cards then it would have been 4/52

but as he's taking 2 aces out of 52 cards it is 2/52

Answer:

\(P(AA) =\frac{1}{221}\)

Step-by-step explanation:

Deck contains = 52 cards

Deck contains = 4 Aces

Probability of choosing ace first time

                                                        \(= \frac{4}{52}\)

Probability of choosing ace again without replacement

                                                                                 \(=\frac{3}{51}\)

Probability of 2 aces without replacement

                                                               \(=\frac{4}{52} \times \frac{3}{51}\\\\=\frac{1}{13} \times \frac{1}{17}\\\\=\frac{1}{221}\)

Let's list down the given data in the question.

radius = 10 meters

central angle = 7π/4

The formula in getting the area of the sector given radius and central angle in radian is:

Since we have the value of the radius and angle in radian already, let's plug it in to the formula above. Use π = 3.14159

Then, solve.

Hence, the area of the sector of circle given radius and angle is approximately 274.89 square meters.

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:

Step-by-step explanation:

No

for it to be a right angle triangle the longest side would have to be the square root of 8 squared plus 11 squared which is 13.6

answer

no Pythagorean theorem doesnt work

steps

8²+11² should equal 17²

BUT

121+64=185

17²=289

The answer of the given question to fill the blanks is , (a) sum  , (b) squares , (c) deviations , (d) square .

In mathematics, squaring a number means multiplying the number by itself. This operation is represented by an exponent of 2, and the result is called the square of the number. Squares have many applications in mathematics, including in geometry, algebra, calculus, and statistics.

For example, squares are used to calculate areas of squares and rectangles, to solve quadratic equations, to find the derivative of certain functions, and to measure the variability of data in statistics. Squares are a fundamental concept in mathematics, and understanding their properties and applications is essential for many fields of study.

a. Σx is read as "the sum of all x values."

b. Σx² is read as "the sum of the squares of all x values."

c. Σ(x-x bar) is read as "the sum of the deviations of x minus x bar."

d. (Σx)² is read as "the square of the sum of all x values."

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Answer:

Step-by-step explanation:

5x + 4x = 180

9x = 180

x = 20

5x= 5(20) = 100 degrees

4x= 4(20)= 80 degrees

the solution is B

A becuase i worked it out and i got that so im really confident

Answer: ok?

Step-by-step explanation: