Which expression gives the closest estimate of 268 + 524?
300 + 600
275 + 525
200 + 500
250 + 500

Answer:

\(\frac{43}{60}\)

Step-by-step explanation:

The computation of the fractions of the students wearing either a white shirt or blue shirt is as follows:

\(= \frac{3}{10} + \frac{5}{12}\\\\= \frac{18 + 25}{60} \\\\= \frac{43}{60}\)

Hence, the fractions of the students wearing either a white shirt or blue shirt is \(\frac{43}{60}\)

The value of r in the exponential decay function 7000 = 20000(1-r)^10 is 10%

The equation is given as:

7000 = 20000(1-r)^10

The above equation is an exponential decay function.

So, we have:

7000 = 20000(1-r)^10

Divide both sides of the equation by 20000

0.35 = (1-r)^10

Take the 10th root of both sides

0.35^(1/10) = 1 - r

Evaluate the exponent

0.9 = 1 - r

Add r to both sides

0.9 + r = 1

Subtract 0.9 from both sides

r = 1 - 0.9

Evaluate

r = 0.1

Express as percentage

r = 10%

Hence, the value of r in the exponential decay function 7000 = 20000(1-r)^10 is 10%

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Therefore, the probability of landing on land would be higher than landing on water, with a ratio of approximately 1:3.

If you were dropped at a completely random spot on the planet, the chances of landing on land would be one in three, or approximately 33.33%. This is because approximately 71% of the Earth's surface is covered by water, while the remaining 29% is land.

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Answer:

hrs =4

Step-by-step explanation:

550-11

200-x

cross multiply

550x=200×11

550÷550=2200÷560

x=4

As per the given scenario, a cereal comes in three different package sizes.

The ratio of the cost of an 8-ounce box to a 16-ounce box of cereal can be calculated as follows :Ratio of 8-ounce box to 16-ounce box= 8 : 16Here, the ratio of 8 and 16 can be simplified by dividing both the terms by \(8.8 : 16 = 1 : 2\)

Therefore, the ratio of the cost of an 8-ounce box to a 16-ounce box of cereal is 1 : 2.

Note: The answer should be represented in the simplest form possible.

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The probability of Sam having a cheeseburger along with an apple juice  is 1/6. can be found by multiplying the probabilities of choosing a cheeseburger and an apple juice.

Step 1: Determine the probability of choosing a cheeseburger.
Since Sam has the options of a hamburger, a cheeseburger, or a chicken burger, and there are three choices in total, the probability of Sam choosing a cheeseburger is 1/3.

Step 2: Determine the probability of choosing an apple juice.
Similarly, since Sam has the options of orange juice or apple juice, and there are two choices in total, the probability of Sam choosing an apple juice is 1/2.

Step 3: Calculate the probability of having a cheeseburger and an apple juice.
To find the probability of two independent events occurring together, we multiply the individual probabilities. Therefore, the probability of Sam having a cheeseburger along with an apple juice is (1/3) * (1/2) = 1/6.

So, the probability of Sam having a cheeseburger along with an apple juice is 1/6.

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Answer:

thx for points ....,..................

Answer:

scale factor = 2.5

x = 10

Step-by-step explanation:

to find the scale factor, divide 10 by 4.

use the answer and divide it by 25 :)

________

10÷4=2.5

25÷2.5=10

The scale factor is 2.5 and the value of x will be 10.

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. The scale factor is the ratio of the scaled size to the original size.

Given that one triangle has the sides x and 4 and another has 25 and 10.

The scale factor will be calculated as below:-

Scale factor = 10 / 4

Scale factor = 2.5

Use the answer and divide it by 25. The value of x will be calculated as below:-

x = 25÷2.5

x = 10

Therefore, the scale factor is 2.5 and the value of x will be 10.

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The perimeter of a square is given by

Where "L" is the length of one side, if the perimeter is 32 inches, we can use the equation to solve it

Each side is 8 inches.

It's impossible to answer this without the table...

Answer:

12

Step-by-step explanation:

set up your proportion 80/200=X/30 and cross multiply.
200X=2400 then isolate the variable by dividing 2400 by 200. This gives you 12 and that is your answer.

Answer:

c- 5 times

Step-by-step explanation:

The critical value approach specifies a region of values, called the critical region or rejection region. If the test statistic falls into this region, we reject the null hypothesis.

In hypothesis testing, the critical value approach is a method used to determine whether to reject or fail to reject the null hypothesis. This approach involves specifying a level of significance, alpha (α), which is the maximum probability of making a Type I error (rejecting the null hypothesis when it is true).

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The correct answer is  the formula for probability is equal to the number of times an event occurs divided by the number of attempts or chances for each outcome.

The formula for probability is equal to the number of times an event occurs divided by the number of attempts or chances for each outcome.

This means that the probability of a specific outcome is calculated by dividing the number of successful attempts by the total number of attempts. This is different from the number of possible outcomes, which represents the total number of different outcomes that could potentially occur.

So, to answer the multiple choice question, the formula for probability is equal to the number of times an event occurs divided by the number of attempts or chances for each outcome.

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Answer:

Step-by-step explanation:

y = 66x - 1200

The charity organisation has to sell a number of tickets to cover their production costs of $1,200. It is given that after selling 200 tickets they retain a net profit of $12,000. Net profit is deduced as: Total sales - total costs. Sales is calculated as total tickets x selling price per ticket.

If we let b represent the sales earned from selling tickets, then:

Net profit = total sales - total costs

12,000 = 200b - 1,200

We can then solve for b by taking the 1200 to the other side of the equal sign. When we do that the sign of that number changes. This is also the same as adding 1200 to both sides of the equal sign:

∴12000 + 1200 = 200b

13200 = 200b

To get the price of one single ticket, b, we need to divide both sides by 200.

∴ b = 66

This means that each ticket's selling price is $66.

So when when we take it back to the calculation of net profit then it becomes:

Net profit = total sales - total costs

y = 66x - 1200

To test:

y = 66x - 1200

= 66 (200 tickets) - 1200

= $12,000

Answer: 50 flowers in total

24 is 48% of the total.

it has to be close to 48 because 48% is almost 50% which is a half.

idek my logic is weird but it's 50 flowers in total :)

Solution :

It is given that the Precision Scientific Instrument company Manufactures thermometers that provide readings at 0 degree Celsius for the freezing point of water.

A quality control analyst examines the thermometers which provide readings in the bottom of 4%.

Using the standard normal table, we get

P(z < z) = 4%

P(z < z) = 0.04

See the probability of 0.04 in the standard normal corresponding to the z-value is = -1.75

Therefore,

P(z < -1.75) = 0.04

z = -1.75

So the temperature reading that separates the bottom of 4% from the other thermometers is - 1.75°C

Therefore correct option is (D). -1.75

The calculated inequalities that define shaded region are y ≤ 3, y ≥ 2x - 3 and y ≥ -x

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following properties

Using the above as a guide, we have the following:

y ≤ 3

y ≥ 2x - 3

y ≥ -x

Hence, the inequalities that define shaded region are y ≤ 3, y ≥ 2x - 3 and y ≥ -x

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Answer:

Step-by-step explanation:

To evaluate the predictive performance of the tree model, we need to create the lift chart using the test data and analyze its shape.

A lift chart is a graphical representation of the performance of a predictive model. It can be used to evaluate the effectiveness of a model in identifying a target variable, compared to a random guess. The lift chart shows how much better the model is performing than a random guess, at different levels of the target variable.

To produce a lift chart for a decision tree model, we typically first rank the test data according to the predicted probabilities of the target variable. Then, we divide the data into equal-sized segments, called quantiles, based on the predicted probabilities. For example, if we divide the data into 10 quantiles, the first quantile will contain the 10% of cases with the lowest predicted probabilities, the second quantile will contain the next 10% of cases, and so on, up to the 10th quantile, which will contain the 10% of cases with the highest predicted probabilities.

For each quantile, we calculate the ratio of the number of cases in that quantile that have the target variable to the number of cases we would expect to see if the model was performing no better than random chance. This ratio is called the lift, and it represents how much better the model is performing than random chance, at that level of the target variable.

We can then plot the lift for each quantile on a graph, with the x-axis representing the quantiles and the y-axis representing the lift. A good model will have a lift chart that is above the diagonal line, which represents the performance of a random guess.

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Answer:

29/8

You had to multiply and solve making lowest common multiple

Answer:

115/24

Step-by-step explanation:

first convert the mixed numbers to a whole fraction

then find the least common denominator which is 24

so 31 - 23 + 7 = 115/24

The solution to the system of equation is (4.75, -11)

3.2x + 0.5y = 4.2

-1.6x -0.5y = 3.4

3.2x + 0.5y = 4.2

-1.6x -0.5y = 3.4

add equation(i) to equation(ii)

Therefore,

1.6x = 7.6

divide both sides by 1.6

x = 7.6 / 1.6

x = 4.75

Therefore,

3.2(4.75) + 0.5y = 4.2

0.5y = 4.2 - 15.2

0.5y = -11

y = - 11 / 0.5

y = - 22

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Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

The total amount in the account at the end of 8 years, if no deposits or withdrawals were made, at 3.5 percent simple interest is $384

The simple interest on an amount is; I  = P × R × T

Where;

I = The simple interest on the amount

P = The principal amount saved

R = The interest rate.

The amount or principal deposited in the account, P = $300

The interest rate on the account, R = 6.5% simple interest

The number of years, which is the time duration of the deposit, or savings, T = 8 years

The interest earned on the account after 8 years is therefore;

Interest, I = $300 × (3.5/100)/year × 8 years = $84

The amount in the account after 8 years, A = P + I

Therefore;

The total amount in the account, A = $300 + $84 = $384

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The largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

Explanation:

To find where the function is increasing, we need to find where the first derivative of the function is positive. Taking the derivative of f(x), we get:

f'(x) = (-2x) / (x^2 + 1)^2

The denominator of this expression is always positive, so the sign of f'(x) is determined by the numerator. The numerator is negative for x < 0 and positive for x > 0. Therefore, f(x) is decreasing on (-∞, 0) and increasing on (0, ∞).

We also need to check the endpoints of these intervals to make sure that the function is increasing on the entire interval. As x approaches negative infinity, the function approaches 0, and as x approaches positive infinity, the function approaches 0. Therefore, the function is increasing on (-∞, 0) ∪ (0, ∞).

In summary, the largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

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Answer:

Give Brainliest please! BRAINLIEST

Step-by-step explanation:

Using the rational root theorem, the possible rational roots of f(x) = 4x^3 + 10x^2 + 14x + 6 can be expressed as follows:

Factors of 6 (constant term): ±1, ±2, ±3, ±6

Factors of 4 (leading coefficient): ±1, ±2, ±4

So the possible rational roots are:

±1, ±2, ±3, ±6, ±1/2, ±3/4, ±1/4, ±3/2

Therefore, the list of all possible/candidate rational roots of f(x) is:

-6, -3, -2, -1, -3/2, -1/2, -3/4, -1/4, 1/4, 3/4, 1/2, 3/2, 1, 2, 3, 6

These roots can be expressed as integers or as fractions in simplest form.

We need to determine which of the given vectors is not in the span of the vectors {2, -2, 1}, {3, 1, 2}, and {3}.

To check if a vector is in the span of other vectors, we need to see if we can find coefficients such that when we multiply each vector by its respective coefficient and add them together, we obtain the given vector. If we can find such coefficients, then the vector is in the span; otherwise, it is not.

Let's go through each given vector and check if it can be expressed as a linear combination of the three vectors {2, -2, 1}, {3, 1, 2}, and {3}.

a. 2 -2 A: We can express this vector as (1/2) * {2, -2, 1}. So, it is in the span.

b. 1 H 3: This vector cannot be expressed as a linear combination of the given vectors. Therefore, it is not in the span.

c. 1 2 {Q[]}: We can express this vector as -2 * {2, -2, 1} + (1/2) * {3, 1, 2}. So, it is in the span.

d. 3: This vector can be expressed as (1/3) * {3}. So, it is in the span.

Therefore, the vector 1 H 3 is not in the span of the vectors {2, -2, 1}, {3, 1, 2}, and {3}.

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Okay, here we have this:

Considering the provided function, we are going to calculate the requested roots, so we obtain the following:

Finally we obtain that the roots of the function are x=8 and x=4.

Step-by-step explanation:

x = 3/2 + y/2

Answer:

To get back to sea level, the scientist must now rise a total of 19.2 feet. This is calculated by subtracting the total amount of feet she has descended (37.4 + 8.4 = 45.8 feet) from the total amount of feet she has traveled (37.4 + 19.8 + 8.4 = 65.6 feet). Therefore, 19.2 feet (65.6 - 45.8) must be ascended in order to reach sea level.

Answer:

I'm pretty sure its 6

Step-by-step explanation:

14-8 is equal to 6 so I'm pretty sure it would be six.