Please answer ASAP Due in 4 hours

For the given spinner, the experimental probability of spinning a 2 is 8/25.

What is probability?

Probability is a mathematical concept used to quantify the chance or possibility of a specific event or outcome happening. It is represented by a number ranging from 0 to 1, inclusive, where 0 indicates that the event is not possible and 1 signifies that the event is guaranteed to happen.

Let's denote the probability of spinning a 2 as P(2). We know that the probability of spinning a 1 is 7/25 and the probability of spinning a 3 is 2/5. Since these are the only possible outcomes, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1 to find P(2):

P(1) + P(2) + P(3) = 1

For P(2) we rewrite the formula as:

P(2) = 1 - P(1) - P(3)

Substituting the given probabilities, we get:

P(2) = 1 - (14/50) - (20/50)

P(2) = 1 - 34/50

P(2) = 16/50

P(2) = 8/25

Therefore, the experimental probability of spinning a 2 is 8/25 or 0.32 (which can also be written as a percentage: 32%).

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A $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.  A $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

The formula to calculate the value of a CD after a specific duration at a specific interest rate compounded annually is given by:

A = P(1 + r/n)^(nt)

where P is the principal,

r is the annual interest rate,

n is the number of times compounded per year,

t is the number of years, and

A is the value of the CD at maturity.

Here, we need to calculate the value of a $1,000 initial investment in each bank's CD at maturity.

Let's calculate the value of a $1,000 investment in Bank ABC's CD.

P = $1,000

r = 5.0% compounded annually

t = 10 years

n = 1

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.05/1)^(1x10)A = $1,628.89

Therefore, a $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.

Let's calculate the value of a $1,000 investment in Bank XYZ's CD.

P = $1,000

r = 4.95% compounded daily

t = 10 years

n = 365

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.0495/365)^(365x10)A = $1,622.82

Therefore, a $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

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Check the picture below.

50 minutes later, well, each cat has been running for 50 minutes, so same time for each.  Let's say the rate of A is slower so is "r" and the rate of B is twice that much or "2r".  Now, by the time 50 minutes passed, they're 750 meters apart, that means if cat A has covered "d" meters then cat B has covered that much plus 750 meters, as you see in the picture.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{meters}{distance}&\stackrel{m/min}{rate}&\stackrel{minutes}{time}\\ \cline{2-4}&\\ A&d&r&50\\ B&d+750&2r&50 \end{array}\hspace{5em} \begin{cases} d=(r)(50)\\\\ d+750=(2r)(50) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{we know that}}{d=50r}\hspace{5em}\stackrel{\textit{substituting on the 2nd equation}}{(50r)~~ + ~~750=(2r)(50)} \\\\\\ 50r+750=100r\implies 750=50r\implies \cfrac{750}{50}=r\implies \stackrel{ \textit{\LARGE A} }{\boxed{15=r}}~\hfill~\stackrel{ \textit{\LARGE B} }{\boxed{2r=30}}\)

Answer:

\( \infty \infty \infty \infty \infty \)

The probability of the intersection of two events occurring can never be more than the probability of the union of two events occurring.

False.

It should be stated that the likelihood of the intersection of two events occurring is always less than the likelihood of the events occurring together.

It is always less likely than or equal to the likelihood of either event occurring alone for an intersection of two events, which is the chance that both occurrences take place.

In other words, the probability of the intersection and the probability of the union are subsets of one another.

The chance of the intersection of two events occurring can never be greater than the likelihood of the union of two events occurring, hence that is the right statement.

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The function decreases on the intervals (-∞, -1) and (1.5, ∞).

Hence the decreasing intervals are given as follows:

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The probability that a randomly chosen test-taker will score between 470 and 530 is 0.2358 (or 23.58% when expressed as a percentage).

To solve this problem, we need to use the standard normal distribution formula:
Z = (X - μ) / σ
where Z is the standard score (z-score) of a given value X, μ is the mean, and σ is the standard deviation.
First, we need to convert the given values of 470 and 530 to z-scores:
Z1 = (470 - 500) / 100 = -0.3
Z2 = (530 - 500) / 100 = 0.3
Next, we need to find the probability that a randomly chosen test-taker will score between these two z-scores.

We can use a standard normal distribution table or a calculator to find the area under the curve between -0.3 and 0.3.
Using a calculator or an online tool, we find that the area under the curve between -0.3 and 0.3 is approximately 0.2358.

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Answer:

y=-35

Step-by-step explanation:

Steps

$\frac{y}{5}-=-7$

$\mathrm{Subtract\:}-\mathrm{\:from\:both\:sides}$

$\frac{y}{5}=-7$

$\mathrm{Simplify}$

$\frac{y}{5}=-7$

$\mathrm{Multiply\:both\:sides\:by\:}5$

$\frac{5y}{5}=5\left(-7\right)$

$\mathrm{Simplify}$

$y=-35$

Answer:

y = 35

Step-by-step explanation:

    multiply by -5 on both sides

    -5 and -5 cancel out

    -5 times -7 is 35

    y = 35

Answer:

-8, 3

Step-by-step explanation:

\(f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: \)

Answer:

first blank= 2

second blank= 3

Step-by-step explanation:

Answer:

-4.75

Step-by-step explanation:

4+5=9

2*2=4

9/4=2.25

2.25-7=-4.75

The system of equations can be solved by following step-by-step procedures, such as eliminating variables or substituting values, until the values of x, y, and z are obtained.

To solve the system of equations using the substitution or elimination method, we will work step by step to find the values of x, y, and z.

1. Equations:

  Equation 1: x + 4y + z = 37

  Equation 2: 3x - y + z = 17

  Equation 3: -x + y + 5z = -23

2. Elimination Method:

  Let's start by eliminating one variable at a time:

  Multiply Equation 1 by 3 to make the coefficient of x in Equation 2 equal to 3:

  Equation 4: 3x + 12y + 3z = 111

  Subtract Equation 4 from Equation 2 to eliminate x:

  Equation 5: -13y - 2z = -94

3. Substitution Method:

  Solve Equation 5 for y:

  Equation 6: y = (2z - 94) / -13

  Substitute the value of y in Equation 1:

  x + 4((2z - 94) / -13) + z = 37

  Simplify Equation 7 to solve for x in terms of z:

  x = (-21z + 315) / 13

  Substitute the values of x and y in Equation 3:

  -((-21z + 315) / 13) + ((2z - 94) / -13) + 5z = -23

  Simplify Equation 8 to solve for z:

  z = 4

  Substitute the value of z in Equation 6 to find y:

  y = 6

  Substitute the values of y and z in Equation 1 to find x:

  x = 5

4. Solution:

  The solution to the system of equations is x = 5, y = 6, and z = 4.

By following the steps of the substitution or elimination method, we have found the values of x, y, and z that satisfy all three equations in the system.

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No, the relation is not a function. Because at x = 0, the value of y will be 2 and 1 which is not possible.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

We know that if the number of dependent values is more than one for a given independent value. Then the relation is not a function.

But if the number of dependent values is more than one for a different given independent value. Then the relation is a function.

At x = 0, the value of y will be 2 and 1 which is not possible.

Thus, No, the relation is not a function.

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Answer:

Hello,

Step-by-step explanation:

\(n=\overline{EDCBA}\\\\A=3*B\ My\ ones\ digit\ is\ three\ times\ greater\ than\ my\ tens\ digit.\\E=3+B\ My\ ten\ thousands\ digit\ is\ 3\ more\ than\ my\ tens\ digit.\\C=2*E\ My\ hundreds\ digit\ is\ twice\ my\ ten\ thousands\ digit. \\D=C-1\ My\ thousand\ digit\ is\ one\ less\ than\ my\ hundreds\ digit.\\\\A=3*B\\E=3+B\\C=2*E\\D=C-1\\\\\begin{array}{|c|c|c|c|c|}A&B&C&D&E\\--&--&--&--&--\\0&0&6&5&3\\3&1&8&7&4\\6&2&X&X&5\\9&3&X&X&6\\X&4&X&X&X\\--&--&--&--&--\\\end{array}\\\)

\(\\\\Numbers\ are\ 35600\ or\ 47813.\)

Answer:

problem 2

Step-by-step explanation:

The feeding time constraint for cats can be written symbolically as:

12 minutes/day * number of cats <= 8 hours/day

The feeding time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The pampering time constraint for cats can be written symbolically as:

16 minutes/day * number of cats <= 8 hours/day

The pampering time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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(a) The ball was thrown at a speed of approximately 11.3 m/s. (b) The ball took approximately 0.41 seconds to reach the hoop. (c) when the ball reaches the hoop, its velocity components are approximately Vy = 8.00 m/s vertically and Vx = 8.00 m/s horizontally.

To solve the problem, we can use the equations of projectile motion. Let's calculate the values step by step:

(a) We can use the horizontal and vertical components of the initial velocity to find the magnitude of the initial velocity.

Initial height (h) = 2.00 m

Distance to the hoop (d) = 7.24 m

Launch angle (θ) = 45.0°

The initial vertical velocity (Vy) can be found using the formula:

Vy = V * sin(θ)

The initial horizontal velocity (Vx) can be found using the formula:

Vx = V * cos(θ)

Since the ball is launched from the same height it lands on, we can equate the final and initial vertical positions:

d = V * t * sin(θ) -\((1/2) * g * t^2\)

Here, g is the acceleration due to gravity (9.8 m/\(s^2\)), and t is the time of flight.

Rearranging the equation, we get:

t = 2 * Vy / g

Substituting the value of t back into the equation for d, we have:

d = V * (2 * Vy / g) * sin(θ)

Solving for V, we find:

V = d * g / (2 * Vy * sin(θ))

Substituting the given values, we get:

\(V = (7.24 m * 9.8 m/s^2) / (2 * (2.00 m) * sin(45.0°))\)

Calculating this, we find:

V ≈ 11.3 m/s

Therefore, the ball was thrown at a speed of approximately 11.3 m/s.

(b) We can use the equation for the time of flight of a projectile:

t = 2 * Vy / g

Substituting the given values, we have:

t = 2 * (2.00 m) / \(9.8 m/s^2\)

Calculating this, we find:

t ≈ 0.41 s

Therefore, the ball took approximately 0.41 seconds to reach the hoop.

(c) At the time the ball reaches the hoop, its vertical velocity component (Vy) is given by:

Vy = V * sin(θ)

Substituting the given values, we have:

Vy = (11.3 m/s) * sin(45.0°)

Calculating this, we find:

Vy ≈ 8.00 m/s

The horizontal velocity component (Vx) remains constant throughout the motion and is given by:

Vx = V * cos(θ)

Substituting the given values, we have:

Vx = (11.3 m/s) * cos(45.0°)

Calculating this, we find:

Vx ≈ 8.00 m/s

Therefore, when the ball reaches the hoop, its velocity components are approximately Vy = 8.00 m/s vertically and Vx = 8.00 m/s horizontally.

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Answer:

38feet 4.4 inches. .. ..........

a very fast way to do it:

Trivially 8.8*5>10, so the power of 10 is 6+2+1 = 9.

Therefore, the answer is \(\boxed{4.4 \text{ x }10^9}\)

Answer:

120 km

distance = speed * time

90 minutes can be converted to 1.5 hours

speed given 80 km/h and time given 1.5 hours

so distance =  80 * 1.5 = 120 km

Answer:

The panther will run 120 km in 90 mins

Step-by-step explanation:

An hour is 60 mins and you know in 1 hour the panther can run 80km

all you need to do is figure out how many miles an xtra 30 mins will be

60 minutes divided by 2 = 30 minutes and 80 km divided by 2 = 40km

Therefore 30 minutes = 40km

just add this to the original statement and you're good

60 mins + 30 mins = 90 mins

80km + 40km = 120km

The panther will run 120km in 90 mins

The expected number of rolls until all faces have appeared in some order in six consecutive rolls is 1 / [1 - (5/6)^6].

To find the probability that all faces have appeared in some order in six consecutive rolls of a 6-sided die, we can use the principle of inclusion-exclusion.

Let's calculate the probability of the complement event first, which is the probability that at least one face is missing from the sequence in six consecutive rolls.

In the first roll, there are 6 possibilities for the face that appears. In the second roll, there are 5 possibilities remaining, and so on. Therefore, the probability of missing a face in one roll is (5/6).

Since we want to find the probability of missing a face in six consecutive rolls, we multiply the probabilities together: (5/6)^6.

Now, to find the probability of all faces appearing in some order in six consecutive rolls, we can subtract the probability of the complement event from 1.

Probability = 1 - (5/6)^6.

For the expected number of rolls until such a sequence appears, we can use the concept of geometric distribution. The expected number of rolls for a geometric distribution is equal to 1 divided by the probability of success.

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The expression to calculate the number of different ways is:

C(26, 24) = 26! / (24! * (26-24)!)

The expression that calculates the number of different ways to choose two dozen donuts from 26 varieties can be calculated using combinations. The formula for combinations is given by:

C(n, r) = n! / (r! * (n-r)!)

In this case, we have 26 varieties of donuts, and we want to choose 2 dozen, which is equivalent to choosing 2 * 12 = 24 donuts.

Simplifying this expression will give you the numerical value of the total number of ways to choose two dozen donuts from 26 varieties at the donut shop.

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The expression to calculate the number of different ways is:

C(26, 24) = 26! / (24! * (26-24)!)

The expression that calculates the number of different ways to choose two dozen donuts from 26 varieties can be calculated using combinations. The formula for combinations is given by:

C(n, r) = n! / (r! * (n-r)!)

In this case, we have 26 varieties of donuts, and we want to choose 2 dozen, which is equivalent to choosing 2 * 12 = 24 donuts.

Simplifying this expression will give you the numerical value of the total number of ways to choose two dozen donuts from 26 varieties at the donut shop.

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Answer:

The total cost of the meal was $52.92.

Step-by-step explanation:

Find the amount of tax:

Find the amount of tip:

Add the cost of the meal, tax and tip to find total cost:

Based on the given information, the value of x is 35.

What is proportion?

Proportion is a mathematical concept that describes the equality of two ratios. In other words, it is a statement that two ratios or fractions are equal. If we have two fractions, a/b and c/d, we can say that they are in proportion if:

a/b = c/d

Since the polygons are similar, their corresponding sides are proportional. This means that:

8/20 = 14/x

To solve for x, we can cross-multiply and simplify:

8x = 20 * 14

8x = 280

x = 35

Therefore, the corresponding dimension of the second polygon is 35.

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Answer:

a₅=27.

Step-by-step explanation:

1) according to the condition the given subsequence is arithmetic sequence. It means, the a₁=7 and d=5, then

2) a₅=a₁+4*d; => a₅=7+4*5=27.

Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.

Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.

To find the profit-maximizing level of output, we compare the profits at different quantities.

Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12

Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11

Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29

Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40

Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20

From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

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Answer:

D and E

Hope this help for you

Red

Answer:

(m - 10) and (m - 2)

Step-by-step explanation:

Given

m² - 12m + 20

Consider the factors of the constant term (+ 20) which sum to give the coefficient of the m- term (- 12)

the factors are - 10 and - 2, since

- 10 × - 2 = + 20 and - 10 - 2 = - 12, thus

m² - 12m + 20 = (m - 10)(m - 2)