If I could get the answer that would be great

You have 48 different choices for your schedule if you need to select one math, one English, one science, and one history course. It's important to note that this calculation assumes that there are no restrictions or prerequisites for the courses, and that all options are available to all students.

When selecting your schedule in school, you have to choose one math course from the three options, one English course from the four options, one science course from the two options, and one history course from the two options. To find out how many different schedule options you have, you need to multiply the number of options for each subject. So, you have:
3 options for math x 4 options for English x 2 options for science x 2 options for history = 48 possible schedule combinations.
Therefore, you have 48 different choices for your schedule if you need to select one math, one English, one science, and one history course. It's important to note that this calculation assumes that there are no restrictions or prerequisites for the courses, and that all options are available to all students.
To determine the number of possible schedules, you need to multiply the number of choices for each subject together. You have three math courses, four English courses, two science courses, and two history courses. The formula for calculating the total number of choices is:
Total choices = (Math choices) x (English choices) x (Science choices) x (History choices)
Total choices = (3) x (4) x (2) x (2) = 48
So, you have 48 different possible schedules when selecting one math, one English, one science, and one history course.

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Answer:

for 1st depositsx

p=$36000

r=2.6%

t=9years

compound amount =p(1+r/100)^t

=$36000(1+2.6/100)^9=$45355.37

for another deposit.

p=$36000

r=2.6%

t=9years

simple amount

=ptr/100=36000×2.6×9/100=$8424

total amount =$8424+$36000=$44424

the sum of the balances of these accounts at the end of 9 years=$44424+$45355.37=$89,779.37

Answer:

-3/8

Step-by-step explanation:

(-2/3)³ / x = (9/8) -²

-2³/3³ = (2³/3²)²x

-2³/3³ = (2^6/3^4)x

-2³ × 3^-3 × 3^4 × 2^-6 = x

-2^-3 × 3 = x

x = -3/8

American adults believes in alien for the  given 95% confidence interval and sample surveyed is in the interval range of ( 0.66 , 0.78 ).

As given in the question,

Sample of American adults surveyed 'n' = 200

Percent of people believes in aliens are success  'p'= 72%

                                                                                      = 0.72

Percent of people who don't believes (failure) in aliens ' 1 - p'  = 1 - 0.72

                                                                                          = 0.28                                                                                    

95% Confidence interval that represents Americans adults who believes in aliens

value of z - score for 95% confidence interval = ± 1.96

Margin of error 'MOE'= (z-score)√p ( 1- p) /n

                                   = ( 1.96)√(0.72 × ( 1 - 0.72 )/ 200

                                   = 1.96 ( √0.2016 / 200)

                                   = 1.96 ×√0.001008

                                   = 0.063

Lower limit = p - MOE

                 = 0.72 - 0.063

                 = 0.66

Upper limit =  p + Margin of error

                 = 0.72 + 0.063

                 = 0.78

Therefore, 95% confidence interval with sample size of the Americans adults who believes in alien are in the interval of ( 0.66 , 0.78 ).

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Answer:

5

Step-by-step explanation:

Answer:

<C+83=90 [ sum of complementary angles ]

<C=90-83

<C=7

Now,

<C+83=180 [ sum of supplementary angles ]

<C=180-83

<C=97

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:

³/₈ cup of flour

Step-by-step explanation:

Given;

a cake recipe as 3/4 cup of flour

Determine how many cups of flour gray will use;

half of the size that the recipe = ¹/₂ x 3/4 cup of flour

                                                  = ³/₈ cup of flour

Therefore, gray will need ³/₈ cup of flour, to make it half of the size that the recipe.

The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.

To find the range, we need to subtract the smallest number from the largest number in the sample. So, the range is:

94 - 15 = 79

To find the sample variance and standard deviation, we first need to find the mean of the sample. We can do this by adding up all the numbers and dividing by the total number of players:

(33 + 74 + 70 + 65 + 56 + 47 + 39 + 72 + 57 + 94 + 15) / 11 = 54.18

Next, we need to find the difference between each number and the mean, square them, and add them up. This gives us the sum of squares:

[(33 - 54.18)^2 + (74 - 54.18)^2 + (70 - 54.18)^2 + (65 - 54.18)^2 + (56 - 54.18)^2 + (47 - 54.18)^2 + (39 - 54.18)^2 + (72 - 54.18)^2 + (57 - 54.18)^2 + (94 - 54.18)^2 + (15 - 54.18)^2] = 15864.4

The sample variance is then calculated by dividing the sum of squares by the total number of players minus one:

15864.4 / 10 = 1586.44

Finally, we can calculate the sample standard deviation by taking the square root of the variance:

√1586.44 ≈ 39.83

The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.

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Answer:

the anser is 5

Step-by-step explanation:

Answer:

it's answer is E. S = (t² - 2p) / a

Step-by-step explanation:

As

t² = 2p + as

Making s subject then

as = t² - 2p

s =( t² - 2p) / a

Hope it will help :)

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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The given polynomial function, 2x³ + 9x² + 4x - 15, represents the volume of a fish tank in cubic feet. Where the depth of the tank is (x - 1) and the length is 13 feet. We need to calculate all dimensions of the tank.

We can get the width of the tank by using the formula:

Width × Depth × Length = Volume

We need to substitute the given values of volume and length into the above formula to get the value of width as follows: 2x³ + 9x² + 4x - 15 = Width × (x - 1) × 13

Since we got an equation of 3rd degree, we need to solve for the roots to find the value of 'x'.

After solving the above equation, we get the value of x = 1 and x = -1/2.

However, the value of x = -1/2 doesn't satisfy the equation. Therefore, the value of x is 1.

The value of x = 1, so we can find the value of Width and Depth by substituting the value of x into the equation.

Width × Depth × Length = Volume

Width × (x - 1) × 13 = 2x³ + 9x² + 4x - 15

                             = Width × (1 - 1) × 13

                             = 0× 13= 0 ft

So, the width of the fish tank is 0 ft. The depth of the fish tank is (x - 1) and the value of x is 1. Therefore, the depth of the fish tank is 1 - 1 = 0 ft.The length of the fish tank is 13 feet. Hence, the dimensions of the fish tank are 13 ft in length, 0 ft in width and 0 ft in depth.

The width of the fish tank is 'w', the depth of the tank is 'd' and the length of the tank is 13 feet.Substituting the given values into the above formula, we get,

w × d × 13 = 2x³ + 9x² + 4x - 15

We need to solve the above equation to find the value of 'd'.

The given polynomial function is 2x³ + 9x² + 4x - 15.

We can solve the above equation to get the value of 'x' and substitute it into the formula for the depth of the tank.

The above polynomial equation is of the 3rd degree, so we can solve this equation by factoring or by using the synthetic division method.

Using synthetic division, we get the value of 'x' = 1. This value of 'x' is the only root of the equation.

Therefore, the depth of the fish tank is (x - 1) = (1 - 1) = 0.The value of width is obtained by the formula:

Width × Depth × Length = Volume

Substituting the value of width and depth into the above formula, we get,

0 × 0 × 13 = 0

Therefore, the width of the fish tank is 0 feet. Hence, the dimensions of the fish tank are 13 feet in length, 0 feet in width and 0 feet in depth. In other words, the fish tank is a flat rectangular container with no depth or width.

Therefore, the dimensions of the fish tank are 13 feet in length, 0 feet in width and 0 feet in depth. The given polynomial function, 2x³ + 9x² + 4x - 15, represents the volume of a fish tank in cubic feet, where the depth of the tank is (x - 1) and the length is 13 feet. We have found all the dimensions of the tank by using the formula

Width × Depth × Length = Volume and solved the equation 2x³ + 9x² + 4x - 15 to get the value of 'x'.

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Simulation is a method that uses repeated random sampling of values in order to represent uncertainty in a model that represents a real system and computes the values of model outputs. The given statement is True.

Simulation is a powerful method that is widely used to model real-world systems, particularly those that are complex, uncertain, or have many variables. The main idea behind simulation is to create a computer model that represents the real system, and then use random sampling to generate values for the input variables of the model. These values are used to compute the values of the model outputs, which represent the behavior or performance of the system under different scenarios or conditions.

The key advantage of simulation is that it allows researchers to explore the behavior of a system under different conditions, without actually having to run experiments or collect data from the real system. This can save time, money, and resources, while also providing valuable insights into the behavior of the system. Simulation is used in many different fields, including engineering, finance, healthcare, and environmental science, among others.

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Non-parametric tests are statistical tests that do not require specific assumptions about the population distribution, such as normality or equal variances. They are useful in situations where the data does not meet the assumptions of parametric tests, or when the variables are ordinal or categorical.

There are some additional examples of non-parametric tests.

Hence, non-parametric tests offer a flexible alternative to traditional parametric tests and can be useful in a variety of situations.

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Answer:

2.5

Step-by-step explanation:

Answer:

10a+b+9c

Step-by-step explanation:

first you have to join the like terms then you add them then you write the answer, I hope you understood

9c+5a+5a+b

9c+10a+b

10a+b+9c

Answer:

Numbers are 29 and 34

Step-by-step explanation:

Let x = one number

let y = second number

x + y = 63

x - y = 5

substitution method, x = 5 + y

5 + y + y = 63

2y + 5 = 63

2y = 58

y = 29

Find value of x:  x - 29 = 5

x = 34

Answer:

Step-by-step explanation:

Answer: A

Step-by-step explanation:

We need to convert each city to percentage. Los Angeles is 13/50 and we can double that to convert it to a percentage of 26%. Next is Seattle which is 3/10 and we can multiply that by 10 to get a percentage of 30%. Next is San Francisco, which is at 2/5 and we multiply that by 20 to get a percentage of 40%. Next is Boston which is 43%. The final city is New York City which is 48%. The order of these cities in least to greatest in percentage of public transport use is Los Angeles, Seattle, San Francisco, Boston,  and New York City. Therefore the answer is A.

Answer:

4/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Observe what happens to y if we move from x = 1 to x = 9:  y decreases by 2.  Thus, the slope of the line in question is m = rise / run = -2/8, or -1/4.

Writing the equation in point-slope form, y - k = m(x - h), we get:

y - 7 = (-1/4)(x - 1)      (point-slope form)

Solving for y results in the slope-intercept form:

y = 7 - x/4 + 1, or

y = (-1/4)x + 8     (slope-intercept form)

Answer:

Step-by-step explanation:

Cost of toy =100

Selling price = 90

Loss = 100

Loss in percentage = 10/90*100

Loss in %= 11.11

Answer:

i can't answer this but i can tell you this

The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs.

y = a(x – h)2 + k, where (h, k) is the vertex. ... In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

Step-by-step explanation:

it is not the answer but i hope it helps:)

The probability of being dealt a jack, given that you were dealt a card above a 9 (counting aces high), depends on the number of cards above a 9 in the deck.

The explanation below will consider a standard deck of 52 cards.

In a standard deck of 52 cards, there are 4 jacks. Given that you were dealt a card above a 9, there are 12 cards (10, J, Q, K, and A) that satisfy this condition. Among these 12 cards, there is 1 jack.

Therefore, the probability of being dealt a jack, given that you were dealt a card above a 9, can be calculated as the number of favorable outcomes (1 jack) divided by the number of possible outcomes (12 cards above a 9).

Hence, the probability is 1/12, which can also be expressed as approximately 0.083 or 8.33%. This means that there is an approximately 8.33% chance of being dealt a jack when you are already dealt a card above a 9 in a standard deck of 52 cards.

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The scientist first operated the time-travel machine in the year 7.

To determine the year the scientist first operated the time-travel machine, we need to work backward from the given end point of 2023.

Since he ended up in 2023, we know that after going back 2000 years, the scientist was in the year 23. Going back even further, we subtract three years to account for the initial forward jump. This takes us to the year 20.

From there, we need to find the year when the scientist made the jump forward by two times the current year. To do this, we divide 20 by 2, resulting in 10. This means that the scientist made the jump forward in the year 10.

Finally, to determine the year when he first operated the time-travel machine, we subtract three more years from 10, which gives us the year 7.

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Answer:

b

Step-by-step explanation:

the y-intercept is 41 so and the year 1945 is x=0