Hello User,
Answer/Step:
1 mile = 5280 ft...so 90 miles = 90 * 5280 = 475200 ft
60 seconds in 1 minute...and 60 minutes in 1 hr = 60 * 60 = 3600 sec/hr
475200/3600 = 132 ft per second...so 90 miles per hr = 132 ft per second.
so the pitcher on the Robins throws faster at 132 ft/sec compared to the Bluebirds pitcher who throws at 121 ft/sec
One possibility for considering a correlation between the data is to form a scatter plot. To form a scatter plot, first mark off axes for numbers of home runs by each leagues home run leaders. For each league, what is the difference between the smallest number of home runs by the leaders and the greatest number
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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what is the square root of 4
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
Find the value of p that makes quadrilateral QRST a parallelogram.
S
T
Q
R
3p+25°
5p–93°
p+87°
2p
p=° NO WRONG ANSWERS PLS
Solve :-
2y+1=17
......
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
The value of y is 8.AC and DG are parallel. Find the value of x, show CLEARLY how you got your answers with reasons
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°
flip a coin 4n times. the most probable number of heads is 2n, and its probability is p(2n). if the probability of observing n heads is p(n), show that the ratio p(n)/p(2n) diminishes as n increases.
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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solved previously. for each integer $n$, let $f(n)$ be the sum of the elements of the $n$th row (i.e. the row with $n 1$ elements) of pascal's triangle minus the sum of all the elements from previous rows. for example,\[f(2)
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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John's clock is broken. The minute hand rotates around the clock correctly, but the hour hand is stuck in the three o'clock position. Suppose John first looks at the clock when the hands are
aligned and it shows 3:15. He looks at the clock again and sees that the hour and minute hands of the clock form the arms of an angle measuring -145 degrees. How many degrees could the minute
hand have rotated to reach its current position?
Answer:
-495
Step-by-step explanation:
-360-135= -495
Below is the graph of equation y= |x+2|-1. Use this graph to find all values of x such that... y=0
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
If the area of a square is increased by 69%, then the side of the square is increased by what percent?
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%
Find the solution to the initial value problem 2y
′′
−5y
′
−3y=0;y(0)=−3,y
′
(0)=1 and sketch a graph of the solution. Using a graphing utility for making sketches is fine, but you must show all work in determining the solution to receive credit.
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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Someone help me please
The dots are the shaded parts
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 women - who make up over 50 percent of the u.s. population - are ________ in high government positions.
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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5u-8>32 simplify your answer
Step-by-step explanation:
5u - 8 > 32
5u > 32 + 8
5u > 40
u > 40/5
u > 8
Which function has two distinct real zeros?
A.) F(x)=2x+2
B.) F(x)=(x-2)²
C.) F(x)=x³+2
D.) F(x)=lxl-2
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
HALP ME PLS E-x-p-la-i-n how you got your answer plsssssss i neeed to know this cr9p
Answer:
\(\sf y = \dfrac{-2}{5}x+1\)
Step-by-step explanation:
Equation of the line: y = mx + bWhere 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
\(\sf \boxed{b = 1}\\\\\bf The \ equation \ of \ the \ line, \\\\ \ y =\dfrac{-2}{5}x+1\)
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)?
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
Review:
Bookmark
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ALGEBRA 2 BRIDGING DIAGNOSTIC / SECTION 1 / 5 OF 10
Determine which expression is equivalent to 12 을
-
(
+
A. -
B. *
o c. 1/3
1
ODE-
2
Answer:
B
Step-by-step explanation:
3. 2(x − 3)
A) 2
B) −4
C) 2x − 6
D) 2x − 4 4)
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//
Find the number of cubical boxes of edge 3cm that can be packed in a box of volume 5832cm square
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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Evaluate 3x^2 + x - 2 when x = -2.
Answer:
8
Step-by-step explanation:
3x² + x - 2
3(-2)² + (-2) -2
3(4) + -4
12 - 4
8
in a certain class, 22 pupils take one or more of chemistry, economic, government. 12 take economic (E), 8 take government (G) and 7 take chemistry (C). Nobody take economic and chemistry, and 4 pupils take economic and government. (ai) Using set notation and the letters indicated above, write down the two statement in the last information. (aii) Draw a venn diagram to illustrate the information ( bi ) both chemistry and government? ( bii ) government only? (This is sets )
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
5 girls decide to only spend $40 between them. on average, how much money can each girl spend? Write an inequality. Each sister has 10 dollars
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
Jackson is working two summer jobs, making $10 per hour washing cars and $12 per hour landscaping. Last week jackson worked a total of 14 hours and earned a total of $152. Determine the number of hours jackson worked washing cars last week and the number of hours he worked landscaping last week.
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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the formula gives the length of the side, s, of a cube with a surface area, sa. how much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
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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trigonometric ratios find an angle measure calculator
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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I need help with this Quadratic equation-standard form
3a² + 2b c² if a = 1, b = 2, and c = 3.
Answer:
Ans 39
Step-by-step explanation:
3a² + 2b c² if a = 1, b = 2, and c = 3.The answer is 39
b) If the joint probability distribution of three discrete random variables X, Y, and Z is given by, f(x, y, z)=. (x+y)z 63 for x = 1,2; y=1,2,3; z = 1,2 find P(X=2, Y + Z ≤3).
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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please help asap
(possible answers are: 2,-5,1,-8)
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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