Ms. Castellano is filling small containers from a large basket of strawberries she fills each container and then weighs she records the weight of each container in poundsAnd sorts them by Weight The line plot shows The number of containers at each weight 

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

The standard error of the sample mean is approximately 8.9 pounds.

What is standard error of the sample mean?

Simple division of the standard deviation by the square root of the sample size yields the SEM. By evaluating the sample-to-sample variability of the sample means, standard error determines the accuracy of a sample mean.

To find the standard error of the sample mean, we need to first find the sample mean weight of the students. To do this, we add up the weights of all the students and divide by the number of students:

(128 + 193 + 166 + 147 + 202 + 183 + 181 + 158) / 8 = 171.5

Next, we need to find the variance of the sample. The variance is a measure of the spread of the data around the mean, and is calculated as follows:

       \(variance = ((weight - mean)^2) / (n-1)\)

where weight is the weight of each student, mean is the sample mean weight, and n is the number of students.

Plugging in the values from our data, we get:

variance = (128 - 171.5)^2 + (193 - 171.5)^2 + (166 - 171.5)^2 + (147 - 171.5)^2 + (202 - 171.5)^2 + (183 - 171.5)^2 + (181 - 171.5)^2 + (158 - 171.5)^2 / 7

= 1096.5

Finally, we can find the standard error of the sample mean by taking the square root of the variance and dividing by the square root of the number of students:

                \(standard\ error = \sqrt{(variance / n)} \\\\= \sqrt{1096.5 / 8 )\\\\=8.9\)

So, The standard error of the sample mean is approximately 8.9 pounds.

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Answer:

3:2:1

Step-by-step explanation:

2 is the grilled chicken

Hope this helps.

The number of bacteria that represents y at the end of x days will be \(y=(500)(2)^{x}\)

As per the given data on the day 0, there are 500 bacteria in a dish.

The number of bacteria that doubles every day after that.

Here we have to determine that how many bacteria which represent y are there after x number of days.

Therefore, the number of bacteria after every day will form a geometric progression (G.P) with the first term as a = 500 and the common ratio as r = 2

Therefore \(\mathrm{a}_3=\mathrm{ar}^2=(500)(2)^2=2000\)

Therefore, the number of bacteria at the end of 2nd day will be 480

\($a_5=a^4=(500)(2)^4=8000\)

And \($\mathrm{a}_{\mathrm{n}+1}=\mathrm{ar}^{\mathrm{n}}\)

\($\mathrm{a}_{\mathrm{n}+1}\) represents y and n represents x

\(y=(500)(2)^{\mathrm{x}}\)

Thus the number of bacteria at the end of x days will be \((500)(2)^{x}$=y\)

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Answer:

5040 ways

Step-by-step explanation:

here we need to find the number of permutations of the 7 balls :

= 7!

= 7×6×5×4×3×2×1

= 5 040

Answer:

\(y = {4}^{x} \)

is the answer

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you multiply radicals together, the only rule that needs to be followed is that the index is the same on both. These are both square roots (so the index is a 2 on each radical) so we can multiply the radicals together to get 5√66.  That does not simplify at all and is irrational (since the decimal goes on without repeating)

The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

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Answer:

38 + S - 10 = 2S - 20

Collect like terms

38 - 10 + 20 = 2S - S

48 = S

Son is 48 years old

Father is 86 years old.

Step-by-step explanation:

Answer:

The Father is 86 and The son is 48

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If you divide each answer choice and then you divide the equation then you would know that both D and the normal problem equals 3.5.

Answer:

it spells ucla, or U C LA

get it you see Los Angeles

or the school name in Los Angeles

Step-by-step explanation:

you shade in 12.5in^2

77cm

1.35m^2

48m

17cm^2

11400 in ^2

20.8cm

25m

20in

275 cm ^2

120 ft

43.4 cm^2

6.6m

105m^2

544 in

30m^2

28.8cm

600ft^2

By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.

To perform a simulation using a table of random digits to determine the number of correct answers Jason gets on a 10-question multiple-choice exam, follow these steps:

1. Assign each answer choice a digit from 0 to 4. For example, A=0, B=1, C=2, D=3, and E=4.

2. Determine the correct answers for each question and note down the corresponding digits. For example, if the correct answers are A, B, C, D, and E for the first five questions, the correct answer digits would be 0, 1, 2, 3, and 4.

3. Select a starting point in the table of random digits. You can choose any point, as long as you use a consistent method to move through the table.

4. For each question, compare the random digit in the table to the correct answer digit. If the digits match, that means Jason guessed the answer correctly.

5. Move to the next random digit in the table for the next question, until you have simulated all 10 questions.

6. Count the number of correct answers based on matching digits and record the result.

7. Repeat steps 3 to 6 multiple times to get a more accurate estimate of Jason's expected number of correct answers. You can use different starting points in the table for each repetition.

8. Calculate the average number of correct answers from all the repetitions to estimate Jason's performance when guessing the answers.

By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.

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Answer:

54

Step-by-step explanation:

We'll call the number "ab".

From left to right, the value of this number will be \(10a+b\).

From right to left, the value of this number will ve \(10b+a\).

From the question,

\(10a+b=1.2(a+10b)\\10a+b=1.2a+12b\\8.8a=11b\)

For a and b to be whole numbers,

\(\left \{ {{a=5} \atop {b=4}} \right.\)

So the number is 54.

Answer:

44

Step-by-step explanation:

Since the triangles are congruent.

Angle B and angle E are equal in size.

x + 4 = 48

x = 48 - 4

x = 44

The percentage of students who scored higher than 750 is 0.23%, or approximately 0.2%.

The percentage of students who scored higher than 750 on the SAT math exam can be calculated using the standard normal distribution table. First, we need to standardize the score using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation. Substituting the values, we get z = (750 - 580) / 60 = 2.83. Using the standard normal distribution table, we can find that the area to the right of z = 2.83 is 0.0023. Therefore, the percentage of students who scored higher than 750 is 0.23%, or approximately 0.2%.

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Answer:

The answer would be no, Monica is wrong.

Step-by-step explanation:

By using the formula for simple interest; Time ( $ x Rate) = Interest

After a year, Monica would have gotten $40.80 in interest,

Paul would have gotten $81.60 in interest.

Because Paul deposited a higher amount of money than Monica, Paul earns more interest.

Find an equation of a parabola with a vertex at the origin and directrix y is:The equation of the parabola with vertex at the origin and directrix y=-2.5 is:

y^2 = 10x



A parabola is defined as the set of all points that are equidistant to a fixed point (called the focus) and a fixed line (called the directrix). In this case, the vertex is at the origin (0,0) and the directrix is y=-2.5.

The distance from any point (x,y) on the parabola to the directrix is equal to the distance from (x,y) to the focus (which is also at the origin).

Using the distance formula, we can write:

|y - (-2.5)| = sqrt(x^2 + y^2)

Simplifying, we get:

(y + 2.5)^2 = x^2 + y^2

Expanding the right side and collecting terms, we get:

x^2 = 10y

This is the standard form of the equation of a parabola with vertex at the origin and axis parallel to the y-axis. To get the equation in terms of x, we can solve for y:

y = x^2/10

So the equation of the parabola is:

y^2 = 10x

Conclusion:

The equation of the parabola with vertex at the origin and directrix y=-2.5 is y^2 = 10x.

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Joint density function is as follows: \(f(x, y) = 16y\ x3 , x > 2, 0 \leq y \leq 1\).

We need to find the marginal density function of X. Using the formula of marginal density function, \(f_X(x) = \int f(x, y) dy\)

Here, bounds of y are 0 to 1.

\(f_X(x) =\int 0 1 16y\ x3\ dyf_X(x) \\= 8x^3\)

Now, the marginal density function of X is \(8x^3\).

Marginal density function helps to find the probability of one random variable from a joint probability distribution.

To find the marginal density function of X, we need to integrate the joint density function with respect to Y and keep the bounds of Y constant. After integrating, we will get a function which is only a function of X.

The marginal density function of X can be obtained by solving this function.

Here, we have found the marginal density function of X by integrating the given joint density function with respect to Y and the bounds of Y are 0 to 1. After integrating, we get a function which is only a function of X, i.e. 8x³.

The marginal density function of X is \(8x^3\).

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If the mean time for problem 1 is 10 minutes, and the mean time for problem 2 is 15 minutes, The dot plots show the amount of time it takes each person in a random sample to complete two similar problems.

To find the mean time for each problem, we need to add up all the times and divide by the total number of people in the sample. Let's assume that the first dot plot represents problem 1 and the second dot plot represents problem 2.

After calculating the mean times for each problem, we can make a comparative inference based on the mean values. For instance, if the mean time for problem 1 is 10 minutes, and the mean time for problem 2 is 15 minutes, we can infer that problem 2 takes longer to complete on average than problem 1.

Comparative inference refers to the process of comparing two or more sets of data to draw conclusions about their similarities or differences. In this case, we are comparing the mean times for two similar problems to see which one takes longer on average.

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Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.

Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;

\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)

In the given data;

n = 5

k = 4

p = 3/6 = 1/2

Using the binomial probability formula, we can calculate:

P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴

P(X=4) = 5 * (1/2)⁴ * (1/2)¹

P(X=4) = 5 * (1/16) * (1/2)

P(X=4) = 5/32

Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.

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The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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The function can be expressed as a piecewise function as,

f(x) = -1, x < 3 and x > 3

f(x) = -4, x = 3

A piecewise function is a function which has different definitions of values for different intervals.

Given is a graph of a function.

A line is drawn through y = -1 for all the points of x, except at the point x = 3.

At x = 3, the value of y = -4

So we can define the function as,

f(x) = -1 for all x other than 3 and f(x) = -4 for x = 3.

Or in other words,

f(x) = -1, for x < 3 and x > 3

f(x) = -4 for x = 3

Hence the piecewise function defined is f(x) = -1, for x < 3 and x > 3

f(x) = -4 for x = 3.

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Answer: $5

Step-by-step explanation: To calculate how much she spent on the 4 boxes of candy, we need to subtract 5 from 25, because we won't be including the cost of the magazine. So, therefore 25-5 is 20. So, now to find the cost for one, we need to set up a proportional relationship like this:

\(\frac{20}{4}\) = \(\frac{?}{1}\)

So, with that, we need to divide 4 by 20 to find the cost of 1. So, if you know, 20 divided by 4 = 5. So, therefore the cost of each candy box is $5. We can check our answer if we use the inverse operations, so our new equation would look like this:

5(4) + 5 = 25

We can check this, because we know 5 x 4 = 20, and 20 + 5 = 25. So 25 = 25, so it is $5.00

Answer:

-25

Step-by-step explanation: the negative/ opposite of 25 is -25

Answer:

a+2

Step-by-step explanation:

The simplification of the expression 1/2 (2a+4) is a+2. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is 1/2 (2a+4). The expression will be solved as below,

E = 1/2 (2a+4)

E = (2a / 2 ) + ( 4 / 2 )

E = a + 2

Therefore, the simplification of the expression 1/2 (2a+4) is a+2. The correct option is B.

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The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.

For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.

There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.

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