A pitcher throws a baseball 90.0 miles per hour. Convert this speed into feet per second. (1 mile = 5,280 feet)

In statistics, a scatter plot is used to identify a correlation between two variables by visually observing a collection of ordered pairs (x, y) in which two variables are plotted on the X and Y axis. The value of one variable is compared to the value of the other variable. The data can be measured and presented on a graph to determine whether there is a relationship between them. A scatter plot of home run leaders for each league in baseball is one such example.

To construct a scatter plot of home run leaders in baseball, the difference between the smallest and largest number of home runs by leaders for each league must first be calculated. The American League and the National League are the two leagues in baseball that have home run leaders. A scatter plot of home run leaders can be constructed using a graph. The vertical axis represents the number of home runs hit by the leaders in the National League.

The horizontal axis represents the number of home runs hit by the leaders in the American League. The difference between the greatest and smallest number of home runs hit by the leaders in each league will be measured. To get the difference between the smallest and greatest number of home runs in each league, the greatest number of home runs hit by leaders in a league is subtracted from the smallest number of home runs hit by leaders in a league.

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Answer:

√4 = 2

Because 2 × 2 = 4

If you want to get square root of any number find the number which you can multiply two times to give you that certain number

Answer:

Solution given:

2y+1=17

subtracting both side by 1

2y+1-1=17-1

2y=16

dividing both side by 2

2y/2=16/2

y=8

Answer:

x = 79°

Step-by-step explanation:

∠ABE = ∠BEF  = 41°           [Alternate angle ]

Now sum of angles of a triangle = 180°

Therefore,

∠EBF + ∠BEF + ∠BFE = 180°

60° + 41° + x = 180°

x = 180° - 60° - 41°

x = 79°

The most probable number of heads becomes more and more likely as the number of tosses increases.

Let's denote the probability of observing tails as q (which is 1/2 for a fair coin). Then the probability of observing exactly n heads in 4n tosses is given by the binomial distribution:

p(n) = (4n choose n) * (1/2)^(4n)

where (4n choose n) is the number of ways to choose n heads out of 4n tosses. We can express this in terms of the most probable number of heads, which is 2n:

p(n) = (4n choose n) * (1/2)^(4n) * (2^(2n))/(2^(2n))

= (4n choose 2n) * (1/4)^n * 2^(2n)

where we used the identity (4n choose n) = (4n choose 2n) * (1/4)^n * 2^(2n). This identity follows from the fact that we can choose 2n heads out of 4n tosses by first choosing n heads out of the first 2n tosses, and then choosing the remaining n heads out of the last 2n tosses.

Now we can express the ratio p(n)/p(2n) as:

p(n)/p(2n) = [(4n choose 2n) * (1/4)^n * 2^(2n)] / [(4n choose 4n) * (1/4)^(2n) * 2^(4n)]

= [(4n)! / (2n)!^2 / 2^(2n)] / [(4n)! / (4n)! / 2^(4n)]

= [(2n)! / (n!)^2] / 2^(2n)

= (2n-1)!! / (n!)^2 / 2^n

where (2n-1)!! is the double factorial of 2n-1. Note that (2n-1)!! is the product of all odd integers from 1 to 2n-1, which is always less than or equal to the product of all integers from 1 to n, which is n!. Therefore,

p(n)/p(2n) = (2n-1)!! / (n!)^2 / 2^n <= n! / (n!)^2 / 2^n = 1/(n * 2^n)

As n increases, the denominator n * 2^n grows much faster than the numerator (2n-1)!!, so the ratio p(n)/p(2n) approaches zero. This means that the probability of observing n heads relative to the most probable number of heads becomes vanishingly small as n increases, which is consistent with the intuition that the most probable number of heads becomes more and more likely as the number of tosses increases.

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By applying Pascal's triangle concept for the f(n) as per given condition the value f(2) is 1.

To find f(2),  calculate the sum of the elements in the second row of Pascal's triangle

and subtract the sum of all the elements from the previous rows.

Pascal's triangle is formed by starting with a row containing only 1

and then each subsequent row is constructed by adding the two numbers above it.

The first row of Pascal's triangle is simply 1.

The second row of Pascal's triangle is 1 1.

To calculate f(2),  sum the elements in the second row and subtract the sum of the elements in the previous rows.

Sum of elements in the second row = 1 + 1 = 2

Sum of elements in the first row = 1

This implies, f(2) = 2 - 1 = 1.

Therefore, using Pascal's triangle the value f(2) is equal to 1.

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Answer:

-495

Step-by-step explanation:

-360-135= -495

Answer:

Step-by-step explanation:

Comment

Use Desmos to enter a graph that you can make part of the question. I have made such a graph for you. You need only read where the red graph goes through the x axis. You will find x values that make y = 0 are -1 and  - 3

Graph

Answer:

Percent Increase in measure of the side of a square = 30%

Step-by-step explanation:

Let the measure of the side of a square = s

Area of the square = (Side)²

                                = s²

If the area of the square is increased by 69%

Area of the new square = s² + 69% of s²

                                        = s² + 0.69s²

                                        = 1.69s²

Therefore, measure of the side of the new square = √(Area of the square)

                                                                                    = √(1.69s²)

                                                                                    = 1.3s

Measure of side of the old square = s

Therefore, increase in measure of the square = 1.3s - s

                                                                            = 0.3s

Percent increase in the measure of the side of the square

= \(\frac{\text{Increase in measure}}{\text{Measure of the side of the original square}}\times 100\)

= \(\frac{0.3s}{s}\times 100\)

= 30%

The solution to the initial value problem 2y'' - 5y' - 3y = 0, with initial conditions y(0) = -3 and y'(0) = 1, is given by \(y(x) = 2e^{3*x}-3e^{-x}\) The graph of the solution will exhibit exponential growth and decay.

To solve the given initial value problem, we assume the solution has the form \(y(x)=e^{rx}\) and substitute it into the differential equation. We obtain the characteristic equation:

\(2r^{2} - 5r -3 =0\)

Factoring the quadratic equation, we get:

(2r + 1)(r - 3) = 0

Solving for r, we find two distinct roots: r = \(-\frac{1}{2}\) and r = 3.

Therefore, the general solution to the differential equation is given by:

\(y(x) = c_{1} e^{1/2x} + c_{2} e^{3x}\)

To find the particular solution, we use the initial conditions. Applying y(0) = -3, we have:

c₁ + c₂ = -3          (Equation 1)

Next, we differentiate y(x) to find y'(x):

\(y'(x) = -\frac{1}{2} c_{1} e^{-\frac{1}{2x} } + 3c_{2} e^{3x }\)

Applying y'(0) = 1, we have:

\(-\frac{1}{2} c_{1} + 3c_{2} =1\)  (Equation 2)

Solving Equations 1 and 2 simultaneously, we find c₁ = -2 and c₂ = -1.

Therefore, the particular solution is:

\(y(x) = -2e^{(-1/2x)} - e^{3x}\)

Simplifying further, we get:

\(y(x)=2e^{3x}-3e^{-x}\)

The graph of the solution will exhibit exponential growth as the term \(2e^{3x}\) dominates and exponential decay as the term \(-3e^{-x}\) takes effect.

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Answer:

1 \(\frac{5}{9}\)

Step-by-step explanation:

Both blocks contain 9 stars

left block has all 9 shaded = \(\frac{9}{9}\) = 1

right block has 5 shaded = \(\frac{5}{9}\)

mixed number = 1 + \(\frac{5}{9}\) = 1 \(\frac{5}{9}\)

Statistics on women in politics highlight that woman - who make up over 50 percent of the U.S. population - are substantially lag in high government positions.

In U.S. the population of Women are 50.8 percent. Approximately, 60 percent of women have their undergraduate degree, and 60 percent of women have their master's degree. They are very well educated. They earn almost 60 percent of law degrees.

But, when it comes to representation in high government positions, they substantially lag behind men. There are only 14.6 percent of executive officers, they hold only 24.2 percent of state legislative seats. They hold only 18.5 percent of congressional seats, and they are just 20 percent of U.S. senators.

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Step-by-step explanation:

5u - 8 > 32

5u > 32 + 8

5u > 40

u > 40/5

u > 8

Answer:

d

Step-by-step explanation:

trust me

Answer:

From its name, the zeros of a function are the values of x where f(x) is equal to zero. ... The function g(x) = x2 – 4 has two zeros: x = -4 and x = 4.

Step-by-step explanation:

Hope this helps :D                

Answer:

\(\sf y = \dfrac{-2}{5}x+1\)

Step-by-step explanation:

Where m is the slope and b is y-intercept.

      (5, -1)  & (-5, 3 )

    \(\sf \boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}\)

               \(\sf =\dfrac{3-[-1]}{-5-5}\\\\=\dfrac{3+1}{-10}\\\\=\dfrac{-4}{10}\\\\=\dfrac{-2}{5}\)

  Substitute m = (-2/5) in the equation,

           \(\sf y = \dfrac{-2}{5}x+b\\\\Now, substitute \ any \ point \ in \ the \ above \ equation \ and find \ 'b',\\\\(5,-1)\\\\ -1 = \dfrac{-2}{5}*5+b\\\\-1=-2+b\\\)

        -1 + 2 = b

                \(\sf \boxed{b = 1}\\\\\bf The \ equation \ of \ the \ line, \\\\ \ y =\dfrac{-2}{5}x+1\)

Answer:

14.5

Step-by-step explanation:

10 + (2 x 3)2 ÷ 4 × (3 x 1/2)

10 + (6)2 / 4 * (1.5)

10 + 12 / 4 * 1.5

10 + 3 * 1.5

10 + 4.5

14.5

Answer:

20.5

Step-by-step explanation:

10 + 12 ÷ 4 x 7/2

10 + 3 x 7/2

10 + 21/2

10 + 10.5

20.5

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

multiply by 2 to be 2x-6

Answer:

x=8//

Step-by-step explanation:

2(x- 3)

or,2x-6

or,X=6+2

hence,X=8//

Pack 216 cube-shaped boxes of edge 3 cm in a larger box with a volume of 5832 cubic cm.

The volume of each cube-shaped box is given by the formula:

\(V = edge^3\)

Substituting the value of edge as 3 cm, we get:

\(V = 3^3 = 27\) cubic cm

To find the number of boxes that can be packed in a larger box with a volume of 5832 cubic cm, we need to divide the volume of the larger box by the volume of each smaller box:

Number of boxes = Volume of larger box / Volume of each smaller box

Number of boxes = 5832 cubic cm / 27 cubic cm

Number of boxes = 216

Therefore, we can pack 216 cube-shaped boxes of edge 3 cm in a larger box with a volume of 5832 cubic cm.

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Answer:

8

Step-by-step explanation:

3x² + x - 2

3(-2)² + (-2) -2

3(4) + -4

12 - 4

8

Answer:

ai) n(E⋂C) = ∅ = null

n(E⋂G) = 4

aii) see attachment

bi) n(C⋂G) = x = 1

bii) n(G) only = 3

Step-by-step explanation:

Let chemistry = C

Economic = E

Government = G

n(E) = 12

n(G) = 8

n(C) = 7

ai) number of pupils for economics and chemistry = 0

number of pupils for economics and government = 4

The set notation for both:

n(E⋂C) = ∅ = null

n(E⋂G) = 4

aii) find attached the Venn diagram

bi) n(C⋂G) = ?

Let number of n(C⋂G) = x

From the Venn diagram

n(C) only = 12-4 = 8

n(G) only = 8-(4+x) = 4-x

n(E) only = 7-x

n(E⋂C⋂G) = 0

n(E⋂C) = 0

n(E⋂G) = 4

Total: 8+ 4-x + 7-x + x + 0+0+4 = 22

23 -x = 22

23-22 = x

x = 1

n(C⋂G) = x = 1

Number of pupils that take both chemistry and government = 1

(bii) government only = n(G) only = 4-x

n(G) only = 4-1 = 3

Number of students that take government only = 3

40 = 5X

X = 10 dollars

Now divide 40/5 = 8

On average, each girl spends $8 dollars

Now write an inequality ,for this situation

5X ≤ 40

(a + b + c + d + e)/5 = 40

The number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

The payment of car washing per hour = $10

The payment for landscaping = $12

Total number of hours worked = 14  hours

Number of hours worked in car washing = x

Number of hours worked in landscaping = y

Then the first equation will be

x + y = 14

x = 14 - y

Total amount he earned = $152

Next equation will be

10x + 12y = 152
Here we have to use substitution method

10(14-y) + 12y = 152

140 - 10y +12y = 152

140 + 2y = 152

2y = 152 - 140

2y = 12

y = 12/2

y = 6 hours

Then

x = 14 - y

x = 14 -6

x = 8  hours

Hence, the number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

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As per the formula of surface area of cube, the length of the cube is 5.45 meters.

The general formula to calculate the surface area of the cube is calculated as,

=> SA = 6a²

here a represents the length of cube.

Here we know that  the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters.

When we apply the value on the formula, then we get the expression like the following,

=> 180 = 6a²

where a refers the length of the cube.

=> a² = 30

=> a = 5.45

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You can use this trigonometry calculator in two common situations when trigonometry is required. Use the calculator's first section to get the values of sine, cosine, tangent, and their reciprocal functions.

A subfield of mathematics is trigonometry. In particular, it describes and applies the connections and ratios between angles and sides in triangles. Trigonometry largely works with angles and triangles. Thus, solving triangles exactly correct triangles as well as any other kind of triangle you choose is the main application.

Numerous difficulties in daily life, such figuring out the height or separation between two objects, can be solved using trigonometry. Other uses include the satellite navigation system, astronomy, and geography.

Additionally, sine and cosine functions are essential for explaining periodic events; with their help, we can explain oscillatory movements (like those in our straightforward pendulum calculator) and waves like sound, vibration, and light.

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Answer:

Ans 39

Step-by-step explanation:

3a² + 2b c² if a = 1, b = 2, and c = 3.The answer is 39

The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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The solution is y = -5

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c = 0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Let the function be f ( x ) = y

And , y = x² + 2x - 8

So , f ( x ) = x² + 2x - 8

Substituting the value for x in the equation , we get

When x = -3

f ( -3 ) = ( -3 )² + 2( -3 ) - 8

         = 9 - 6 - 8

         = 9 - 14

f ( -3 ) = -5

When x = 1

f ( 1 ) = ( 1 )² + 2( 1 ) - 8

       = 1 + 2 - 8

       = 3 - 8

f ( 1 ) = -5

Hence , the value of y = -5

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