If 1 tangerine, 2 oranges and 4 grapefruit cost $2.75 and if 3 tangerines, 5 oranges, and 8 grapefruit cost $6.25, how much does 1 tangerine and 1 orange cost?

The equation represents the general form a circle with a center at

(–2, –3) and a diameter of 8 units is,

\(x^{2} +4x+y^{2} +6y-3=0\)

Given that,circle with a center at (–2, –3)

diameter of circle is  8 units

To find

the equation of the circle that represents the general form of a circle with a center at (–2, –3) and a diameter of 8 units.

Radius of the Circle is,

The diameter of the circle is 8 units. therefore,

\(radius=\frac{d}{2}=\frac{8}{2} =4\)

Equation of a circle

The equation of the circle that represents the general form of a circle with a center at (–2, –3) and a radius of 4 units.

\((x-h)^{2} +(y-k)^{2} =R^{2}\)

Substituting the values,

\((x-(-2))^{2} + (y-(-3))^{2} =4^{2}\)

\((x+2)^{2} + (y+3)^{2} =4^{2}\\\)

\(x^{2} +4x+4+y^{2} +6y+9=0\)

\(x^{2} +4x+y^{2} +6y-3=0\)

Therefore, the option C is correct.

The equation represents the general form a circle with a center at

(–2, –3) and a diameter of 8 units is

\(x^{2} +4x+y^{2} +6y-3=0\)

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From the provided information we obtain the mean salary: RM 12,000 per month, the median salary: RM 5,000 per month and the mode of salaries: RM 5,000 per month

To calculate the mean, median, and mode of the salaries, we can use the provided information:

Executives' salary: RM 5,000 per month

Supervisor's salary: RM 20,000 per month

First, let's calculate the mean:

Mean = (Sum of all salaries) / (Total number of employees)

Total salary = (4 * RM 5,000) + RM 20,000 = RM 40,000 + RM 20,000 = RM 60,000

Mean = RM 60,000 / 5 = RM 12,000

So, the mean salary is RM 12,000 per month.

Next, let's calculate the median:

Since there are five employees, the median is the middle value when the salaries are arranged in ascending order.

Arranging the salaries in ascending order: RM 5,000, RM 5,000, RM 5,000, RM 5,000, RM 20,000

The median is the middle value, which in this case is RM 5,000.

So, the median salary is RM 5,000 per month.

Finally, let's calculate the mode:

The mode represents the value that appears most frequently in the dataset.

In this case, the mode is RM 5,000 because it appears four times (for the four executives' salaries), while the supervisor's salary of RM 20,000 appears only once.

So, the mode of the salaries is RM 5,000 per month.

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Answer:

big bodie built

Step-by-step explanation:

i used to be dusty

Based on the calculations, the value of the given prefix expression is equal to 2205.

The preorder traversal of a tree (T) are typically used in discrete mathematics to determine the value of a prefix expression on a specific expression tree.

For the preorder traversal of this tree (T), we would start from the right most expression:

Prefix expression = * + 3 + 3 ↑ 3 + 3 3 3

Prefix expression = * + 3 + 3 ↑ 3 6 3

Prefix expression = * + 3 + 3  3⁶  3

Prefix expression = * + 3 3 729 3

Prefix expression = * + 3 732 3

Prefix expression = * 735 3   ⇒ 735 × 3

Value = 2205.

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Complete Question:

Given the following prefix expression:

* + 3 + 3 ↑ 3 + 3 3 3

What is the value of the prefix expression?

Therefore, Sara has 3.5 grams of white beads in her jar.

Based on the information provided, Sara has 2.5 grams of blue beads, 4.9 grams of pink beads, and 7.1 grams of yellow beads. If she weighs her jar this week and finds out she has a total of 18 grams of beads, we can determine the number of grams of white beads she has by following these steps:

Step 1: Add the weights of the blue, pink, and yellow beads together.
2.5 grams (blue) + 4.9 grams (pink) + 7.1 grams (yellow) = 14.5 grams

Step 2: Subtract the total weight of the blue, pink, and yellow beads from the total weight of the jar (18 grams).
18 grams (total weight) - 14.5 grams (blue, pink, and yellow beads) = 3.5 grams
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The probability that a person holding a reservation will show up for a flight from Miami to Denver is 92%. The expression representing the probability that a seat will be available for everyone with a reservation is P(r ≤ 255). Using the normal approximation to the binomial distribution, the probability that a seat will be available for every person who shows up is calculated by finding the area under the normal curve for P(Z ≤ (255 - μ) / σ), rounding to four decimal places.

(a) The probability that a person holding a reservation will show up for the flight, we need to subtract the no-show rate from 1.

Probability of showing up = 1 - Probability of not showing up

= 1 - 0.08

= 0.92

Therefore, the probability that a person holding a reservation will show up for the flight is 0.92 or 92%.

(b) The expression that represents the probability that a seat will be available for everyone who shows up holding a reservation is:

P(r ≤ 255)

Here, "r" represents the number of people with reservations who show up for the flight, and we want to calculate the probability that this number is less than or equal to 255, which means there are enough seats available for everyone.

(c) To use the normal approximation to the binomial distribution, we can consider the number of ticket reservations as a large sample and use the normal distribution to approximate the binomial distribution.

Given that n = 267, p = 0.92 (probability of showing up), and q = 1 - p = 0.08 (probability of not showing up), we can calculate the mean (μ) and standard deviation (σ) of the binomial distribution using the formulas:

μ = n * p = 267 * 0.92 ≈ 245.64

σ = sqrt(n * p * q) = sqrt(267 * 0.92 * 0.08) ≈ 7.42

Next, we can use the normal distribution with the calculated mean and standard deviation to find the probability that a seat will be available for every person who shows up holding a reservation, which is equivalent to finding the probability that "r" is less than or equal to 255.

P(r ≤ 255) ≈ P(Z ≤ (255 - μ) / σ)

Using the standard normal distribution table or a calculator, we can find the corresponding probability. The result will be rounded to four decimal places.

Note: The normal approximation is valid when n * p and n * q are both greater than 5, which is satisfied in this case.

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Answer:

x = -7

Step-by-step explanation:

First, we simplify:

-3x = 21

Then, we divide -3 on both sides:

x = -7

Hope this helps ^^

The value of the test statistic = 2.06

What is Statistic ?

The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.

What is normally distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme.

Given,

weights of sugar bags are normally distributed.

Sample mean=5.2

sample standard deviation = 0.2366

Test statistic

t = x(bar) -µ/σ \(\sqrt{n}\)

= 5.2-5/0.2366/\(\sqrt{6}\)

= 2.0705

The test statistic's value is 2.06

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Answer: 358

Explanation:  370 - 12 = 358

Answer:

Step-by-step explanation:

Dilating a segment can change the length.  TRUE

A dilated line segment is parallel to its preimage.  TRUE

Dilation is a transformation that allows you to resize an object. The correct options are C and E.

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

A translation is a transformation that moves every point in a figure in the same direction by the same amount, while dilation is a transformation that allows you to resize an object.

Therefore, the statements that are true are,

Hence, the correct options are C and E.

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Answer:

B, C and D have a different price.

E has the same price.

Step-by-step explanation:

Answer:

Is it 5/8

Step-by-step explanation:

Because there are 7 shapes in total and are 5 blue shapes so the probablit that a blue shape is to get picked is 5 out of 7

Step-by-step explanation:

1st draw

Probability of drawing a blue card = ⅝

2nd draw

Probability of drawing another blue card = 4/8= ½

(Remember a blue card has already been drawn)

Probability of drawing two blue cards = ⅝ × ½

= 5/16

Number that belongs in the green box = 5

Pls mark my answer as brainliest

Answer:

y= 3/4x -7

Step-by-step explanation:

equation of a line

y= mx+b

the slope is m

and the y intercept is b

in this case it would be

y= 3/4x -7

Answer:

Step-by-step explanation:

y = mx + b

y = 3/4x - 7

Hope this helps!

The main anwers are:
(a) The parameter of interest is the proportion of all American adults who feel financially secure, denoted by p.

(b) The best estimate of the population parameter is the sample proportion, which is 72%.

(a) The parameter of interest in this scenario is the proportion of all American adults who feel financially secure. It represents the true percentage of the entire population that would respond "yes" when asked the question, "Do you feel financially secure?" The parameter is denoted by the letter p.

(b) To estimate the population parameter, we use the information from the sample. In this case, the sample proportion of respondents who said "yes" is 72%. Since the sample was randomly selected, we can use this proportion as the best estimate of the population proportion. The sample proportion serves as a point estimate for the parameter.

(c) The standard error, given as approximately 0.026, is a measure of the variability or uncertainty associated with the sample proportion. To construct a confidence interval for the parameter, we can use the sample proportion along with the standard error.

For a 95% confidence interval, we utilize the standard normal distribution (Z-distribution) with a critical value of 1.96 (corresponding to a 95% confidence level). We multiply the standard error by the critical value and add/subtract the result to/from the sample proportion to obtain the confidence interval.

In this case, the 95% confidence interval for the parameter p is [0.72 - (1.96 * 0.026), 0.72 + (1.96 * 0.026)], which simplifies to approximately [0.669, 0.771].

(d) Interpreting the confidence interval obtained in part (c), we can say that we are 95% confident that the true proportion of all American adults who feel financially secure falls within the range of 0.669 to 0.771. This means that if we were to conduct multiple random samples and calculate the confidence intervals, approximately 95% of those intervals would contain the true population proportion.

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Answer:

-21

Step-by-step explanation:

- * + = -

- * - = +

+ * + = +

Here + * - = -

7* 3 = 21 and sign is -ve

Answer:

-21

Step-by-step explanation:

(7)*(-3)=

7*-3=

-21

Answer:

πr^2h

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

HOPE IT'S HELPFUL TO YOU

PLS MARK ABOVE GUY ANSWER AS BRAINLIEST

A hostel is a form of budget inn that provides simple, shared lodging.

In the given case it can be concluded that the

a)Let total cost = y

Let no. of days = x

According to question,

y = 50x + 1000

(b) Given, no. of days = 21, i.e. x = 21

Putting x = 21 in the above equation ,we have

y = 50*21 + 1000

= 1050 + 1000 = Rs. 2050

The cost of your specific college will often determine the hostel and mess fees. However, the majority of the time the hostel rates include the mess fees. In addition to mess and hostel fees, there are laundry fees.

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The two points where the line meets the circle are (3,6) and (8,3).

To find the coordinates of the point where the line 2x+2y=18 meets the circle (x-2)^2+(y-3)^2=16, we need to first solve the system of equations.

We can start by simplifying the equation of the line by dividing both sides by 2, giving us x+y=9. We can then substitute y=9-x into the equation of the circle,

which results in (x-2)^2+(9-x-3)^2=16. Simplifying this equation yields x^2-4x+4+x^2-12x+81=16. Combining like terms and solving for x, we get x=3 or x=8.

Substituting these values back into the equation of the line gives us the corresponding y-coordinates of 6 and 3, respectively.

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The area of the region bounded by the curves y = 2x^2 ln x and y = 8 ln x can be found by integrating the difference between the two functions over the appropriate interval.

To find the points of intersection between the two curves, we set them equal to each other:

2x^2 ln x = 8 ln x

2x^2 = 8

x^2 = 4

x = ±2

Since ln x is only defined for positive values of x, we consider the interval [2, e^2] where e is the base of the natural logarithm.

To calculate the area, we integrate the difference between the two functions over this interval:

Area = ∫[2, e^2] (8 ln x - 2x^2 ln x) dx

Simplifying the integrand, we have:

Area = ∫[2, e^2] 2 ln x (4 - x^2) dx

By evaluating this integral, we can find the area of the region bounded by the given curves.

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Answer:

Yes, many times over.

Step-by-step explanation:

I'm sure there is a typo in the question.

640,000 mg = 0.64 kg

The correct answer of joint hypotheses on multiple regression coefficients ption (D) is the exception in this case.

In multiple regression analysis, joint hypotheses involve the null hypothesis of equality or inequality between two or more regression coefficients.

Option (A) H0: 3/2 = 1 and 4 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two regression coefficients.

Where the coefficients are 3/2 and 1, and another null hypothesis of inequality between a coefficient and zero, where the coefficient is 4.

Option (C) H0: 1 = −2 and 1 + 2 = 1 is an example of a joint hypothesis that involves the null hypothesis of equality between a coefficient and a negative value.

Where the coefficient is 1, and another null hypothesis of equality between the sum of two coefficients and a value, where the coefficients are 1 and 2.

Option (D) H0: 2 = 0 and 3 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two coefficients and zero, where the coefficients are 2 and 3.

However,

Option (B) H0:1 + 2 = 1 is not a joint hypothesis involving regression coefficients.

It is simply an equation involving two constants, 1 and 2, and the null hypothesis states that their sum is equal to 1.

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Answer:

-2x + y = -12

Step-by-step explanation:

y + 6 = 2 ( x - 3 )

y + 6 = 2x - 6

-2x + y = -12

Answer:

7m + 19 should be the answer

Step-by-step explanation:

total 7m + 19

The domain of f(x) is the set of all values of x for which the function is defined. In this case, the function is defined as long as the denominator of the fraction is not zero. Therefore, we have:

x^2 - 9 ≠ 0

Solving for x, we get:

x ≠ ±3

So the domain of f(x) is the set of all real numbers except x = -3 and x = 3. In interval notation, we can write:

(-∞, -3) ∪ (-3, 3) ∪ (3, ∞)

To find the values of x that make f(x) equal to zero, we need to solve the equation f(x) = 0, which means:

(x^2 - 6x + 8)/(x^2 - 9) = 0

We can see that the numerator can be factored as (x - 2)(x - 4), and the denominator can be factored as (x - 3)(x + 3). So we have:

(x - 2)(x - 4) / [(x - 3)(x + 3)] = 0

For this fraction to be equal to zero, the numerator must be zero while the denominator is not zero. Therefore, we get two solutions:

x - 2 = 0, which gives x = 2

x - 4 = 0, which gives x = 4

So the values of x that make f(x) equal to zero are x = 2 and x = 4.

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Answer: If your school is only giving you a day off take memories that one day.

Step-by-step explanation: I'm also very sorry that you didn't get 2-3 days off. I get 2 days off and then the weekend.

Can I get brainlest please?! Also have a great day! (Everyday)

Answer:

i feel the same way :>

Step-by-step explanation:

but what you can do is try to enjoy the day as much as you can!!  :)

The 95th percentile of the wave-height distribution would be -0.052 meters.

The median of a distribution is the value that divides the data into two equal halves. To find the median of the wave-height distribution, we need to arrange the wave heights in order from lowest to highest and find the middle value. If there is an odd number of values, then the median is the middle value.

If there is an even number of values, then the median is the average of the two middle values. Since we do not have any data or values given for the wave-height distribution, we cannot determine the median.

The 100pth percentile of the wave-height distribution is the value below which 100p% of the data falls. In other words, if we rank all the wave heights from lowest to highest, the 100pth percentile is the height at which 100p% of the data lies below. A general expression for the 100pth percentile of the wave-height distribution (p) can be given as:

(p) = (1 - p) x + p y

Where x is the wave height corresponding to the (n-1)p-th rank, and y is the wave height corresponding to the np-th rank, where n is the number of observations in the distribution.

Using the model (p) = m as a 1-hour significant wave height (m) at a certain site, we can calculate the 100pth percentile for any given value of p. For example, if p = 0.95, then the 95th percentile of the wave-height distribution would be:

(0.95) = (1 - 0.95) x + 0.95 y

Simplifying this expression, we get:

y = (0.95 - 0.05x)/0.95

Substituting the value of (p) = m, we get:

m = (0.95 - 0.05x)/0.95

Solving for x, we get:

x = (0.95 - 0.95m)/0.05

Therefore, the value of the wave height corresponding to the 5th percentile of the distribution would be:

(0.05) = (1 - 0.05) x + 0.05 y

Simplifying this expression, we get:

x = (0.05y - 0.05)/(0.95)

Substituting the value of (p) = m, we get:

m = (0.05y - 0.05)/(0.95)

Solving for y, we get:

y = (0.95m + 0.05)/(0.05)

Therefore, the value of the wave height corresponding to the 95th percentile of the distribution would be:

(0.95) = (1 - 0.95) x + 0.95 y

Substituting the values of x and y, we get:

(0.95) = (1 - 0.95) [(0.95 - 0.95m)/0.05] + 0.95 [(0.95m + 0.05)/(0.05)]

Simplifying this expression, we get:

m = 0.95y - 0.05x

Substituting the values of x and y, we get:

m = 0.95 [(0.95m + 0.05)/(0.05)] - 0.05 [(0.95 - 0.95m)/0.05]

Simplifying this expression, we get:

m = 19m + 1 - 19

Solving for m, we get:

m = -0.052

Therefore, the 95th percentile of the wave-height distribution would be -0.052 meters.

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There is only one optimal solution for this linear programming problem, and it can be found by solving the problem using appropriate linear programming techniques.

Based on the given linear programming problem, the best option that fits the empty space above is "only one optimal solution."

To determine the number of optimal solutions, we need to consider the objective function and the constraints of the problem. The objective function, Z = 3x1 + 9x2, represents the quantity we want to minimize.

The constraints of the problem are as follows:

2x1 + 4x2 ≤ 16

5x1 + 15x2 ≤ 30

6x1 + 14x2 ≤ 42

x1 ≤ 55

x1, x2 ≥ 0

The feasible region is the area in the xy-plane that satisfies all the constraints. In this case, the feasible region is a bounded region since all constraints involve inequalities.

Since the objective function is a linear function and the feasible region is a bounded region, linear programming theory guarantees that there exists at least one optimal solution.

In this case, the optimal solution is the point within the feasible region that minimizes the objective function Z.

Therefore, there is only one optimal solution for this linear programming problem, and it can be found by solving the problem using appropriate linear programming techniques, such as the simplex method or graphical method.

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