What division problem is represented in the picture?
-2/3 divided by 3 1/3
-3 1/3 • 3/2
-3 • 2/3
3 1/5 divided by 5

Answer:

See below.

Step-by-step explanation:

A. <2 is congruent to <3

B. <3 is congruent to <7

Hypothesis Testing for the given case: Hypothesis Test: To determine if the percentage of the students in the school who speaks languages other than English is different from 42.3%. Null Hypothesis (H0): The proportion of the students in the school who speaks languages other than English is equal to 42.3%.H0: p = 0.423. Alternate Hypothesis (Ha):The proportion of the students in the school who speaks languages other than English is not equal to 42.3%.Ha: p ≠ 0.423. Random Variable: The random variable is defined as the proportion of students in the school who speaks languages other than English. p = Proportion of students in the school who speaks languages other than English. Distribution to Use: Since the sample size (n) is greater than or equal to 30, the normal distribution can be used. Test Statistic: Using the sample data, the test statistic is calculated as shown below: z = (x - μ) / (σ / √n)where x = number of students who speak other languages at home = 38μ = proportion under the null hypothesis = 0.423σ = standard deviation = √(p(1 - p) / n) = √(0.423(1 - 0.423) / 38) = 0.0878z = (38 - 0.423(38)) / (0.0878) = 14.862P-Value:The P-Value can be calculated by finding the area under the normal distribution curve. Z = 14.862 is too high and therefore, the area in the tail region is very low. The P-value is found to be less than 0.0001. Since the P-value is much lower than the level of significance (α = 0.05), we can reject the null hypothesis.

Conclusion: Based on the hypothesis test, the proportion of students in the school who speak languages other than English is different from 42.3%.

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Answer:

The selected option

Step-by-step explanation:

Coincidentally, you answered correctly.

From the values of 3 and five, we can assume that the function of the table is Y=x+2.

But if we move to the next value pairs, that function is false.

10=6+2 that isn't correct.

If you apply this to all the pairs in the table you will find that there is not a function that represents the values given. Therefore, the first option is correct.

Answer:

 - 5/3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -1 -9)/(4 - -2)

   = (-1-9)/(4+2)

  = -10/6

  - 5/3

Answer:

\(slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 1 - 9}{4 - - 2} \\ \frac{ - 10}{6} \\ = - \frac{5}{3} \\ thank \: you\)

Answer:

The interior angle of a regular hexagon (a hexagon in which all sides are equal in length and all angles are equal) is 120 degrees because the sum of the interior angles in any polygon can be calculated using the formula:

(n-2) * 180

where n is the number of sides in the polygon.

So for a hexagon, which has 6 sides, the formula would be:

(6-2) * 180 = 4 * 180 = 720

This means that the sum of the interior angles in a hexagon is 720 degrees. Since there are 6 interior angles in a hexagon, and the sum of all of them is 720 degrees, each angle must measure 720/6 = 120 degrees.

I hope this helps! Let me know if you have any more questions.

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

24/60=180/300

So, about 180 students prefer basketball out of the whole school.

Answer:

.........x = 110............

Answer:

-5/2

Step-by-step explanation:

x + 5/ x - 2

x and x cancel each other

5/-2

The new score was less than 50. (B)

When one new score is added to a distribution, the mean can either increase, decrease or stay the same, depending on the value of the new score and the number of scores in the distribution.

The mean of the distribution is equal to the sum of all the scores divided by the number of scores. If the new mean is found to be less than the previous mean, then it can be concluded that the new score was less than the previous mean.

In this case, the mean of the distribution was originally 50, but when the new score was added, the mean became 48. Since the mean decreased, it can be concluded that the new score was less than 50.

This result is consistent with the idea that the new score was smaller than the previous mean, which would result in a decrease in the mean when added to the distribution.

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Answer:

Step-by-step explanation:

The picture shows the preimage ABCD and the image A'B'C'D'.

Notice that both images are at the same distance from the x-axis, which implies a reflection across the x-axis. Them, the image was translated 1 units to the left.

Therefore, the right answers are reflection and translation.

Answer: id-k C and don’t know didn’t look into it to much

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

The auxiliary equation is 4r² + 3r - 10 = 0. The roots of the auxiliary equation are r₁ = 5/4 and r₂ = -2. The complementary function is y_c = C₁e^(5/4x) + C₂e^(-2x).

a) The auxiliary equation can be obtained by replacing d²y/dx² with r² and dy/dx with r in the equation. Thus, the auxiliary equation is 4r² + 3r - 10 = 0.

b) To find the roots of the auxiliary equation, we can solve the quadratic equation 4r² + 3r - 10 = 0. We can use the quadratic formula: r = (-b ± √(b² - 4ac)) / (2a). Plugging in the values a = 4, b = 3, and c = -10, we get r = (-3 ± √(3² - 4(4)(-10))) / (2(4)). Simplifying further, we have r = (-3 ± √(9 + 160)) / 8, which becomes r = (-3 ± √169) / 8. This gives us two roots: r₁ = (-3 + 13) / 8 = 10 / 8 = 5/4, and r₂ = (-3 - 13) / 8 = -16 / 8 = -2.

c) The complementary function is given by y_c = C₁e^(r₁x) + C₂e^(r₂x), where C₁ and C₂ are constants. Plugging in the values of r₁ and r₂, the complementary function becomes y_c = C₁e^(5/4x) + C₂e^(-2x).

In summary, the auxiliary equation is 4r² + 3r - 10 = 0. The roots of the auxiliary equation are r₁ = 5/4 and r₂ = -2. The complementary function is y_c = C₁e^(5/4x) + C₂e^(-2x).

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The total change in Jamie's score is -96

The term total in math is defined as the result of arithmetically adding numbers or quantities.

Here we have given that Jamie is playing a card game.

Here we also know that Jamie score changes by -12 for 8 turns in row.

Then the value of Each turn score = -12

And the Number of turn = 8

Then then total of Jamie's score is calculated by using the following formula,

=>  Total of Jamie's score = Each turn score × Number of turn

Apply the value on the formula, then we get

=> Total of Jamie's score = -12 × 8

Therefore the total of Jamie's score is written as -96

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If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.

Here,

4 is a root/zero of polynomial

P(x)  =   (k-2) x²  - 2 x  - (k+5)

P(4) = 0

(k - 2) 4²  - 2 * 4 - (k+5)  = 0

15 k - 45 = 0  

k = 3

The value of k if 4 is one of the zeros of the quadratic polynomial is 3.

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Complete question:

If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.

Answer:

See below

Step-by-step explanation:

750 000  = 425 000 ( 1 + .042)^n  

   .042 = decimal increase/year  n = years

750 000 / 425 000  = 1.042^n

Take LOG of both sides

.2466 = n (.01786)

n=13.81 yrs

The required number of years until the population will be 13.81.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

Given that increasing at a rate of 4.2% each year

To predict the number of years until the population will be 750,000.

According to the given question, we can write the exponential function would be as

750000  = 425000 ( 1 + 0.042)ⁿ  

750000 / 425000 = 1.042ⁿ

30/17 = 1.042ⁿ

1.76470 = 1.042ⁿ

Take logarithms of both sides,

log 1.76470 = log 1.042ⁿ

log 1.76470 = n log 1.042

log 1.76470/log 1.042 = n

n = 13.81

Thus, the required number of years until the population will be 13.81.

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The ordered pairs of the data that should be used to plot the points on the scatter plot are (18, 12), (20, 17), (24, 10), (25, 6), (28, 4), (30, 4), (32, 2), and (34, 3).

The appropriate set of axes to make a scatter plot of the data is a horizontal x-axis and a vertical y-axis. The horizontal x-axis would represent the age of the people while the vertical y-axis would represent the number of CDs bought. The ordered pairs of the data that should be used to plot the points on the scatter plot are (18, 12), (20, 17), (24, 10), (25, 6), (28, 4), (30, 4), (32, 2), and (34, 3).

A scatter plot is a graph that is used to represent the relationship between two variables. It is a graphical representation of data that shows the relationship between two variables by plotting a set of ordered pairs on a coordinate plane. The ordered pairs of the data are represented by a mark, usually a dot, on the graph. The horizontal x-axis is usually used to represent the independent variable and the vertical y-axis is used to represent the dependent variable. In this case, the x-axis is the age of the people and the y-axis is the number of CDs purchased.

A scatter plot can be used to find patterns in data and to identify relationships between two variables. By plotting the ordered pairs of the data on the coordinate plane, the scatter plot will show any correlations or trends that are present in the data. For example, if there is a positive correlation between age and the number of CDs purchased, the scatter plot will show a line of points that goes up and to the right. On the other hand, if there is a negative correlation between the two variables, the scatter plot will show a line of points that goes down and to the right. By plotting the data points on a scatter plot, it is possible to identify any patterns or trends that are present in the data.

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Answer:

82.96 people/km^2

Step-by-step explanation:

people / square km

3.70 x 10^9        

----------------- =    

4.46 x 10^7      

3.70 x 10^2

----------------

 4.46

0.8295... x 100 = 82.959641 or rounded 82.96

Answer:

\(\boxed {x = 8}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(4(2x - 3) = 52\)

-Divide both sides by \(4\):

\(2x - 3 = \frac{54}{4}\)

\(2x - 3 = 13\)

-Add both sides by \(3\):

\(2x - 3 + 3 = 13 + 3\)

\(2x = 16\)

-Then, divide both sides by \(2\):

\(\frac{2x}{2} = \frac{16}{2}\)

\(\boxed {x = 8}\)

Therefore, the value of \(x\) is \(8\).

Answer:

37 years

Step-by-step explanation:

Answer:

36 years

Step-by-step explanation:

it would take 36 years to reach the height of 40 feet. I know this because it is already 4 feet and needs to grow 36 feet and if it is growing at a rate of 1 foot per year then it would take 36 years

If a bank receives a new deposit of $15,000, the bank can lend out $13,785.

The required reserve ratio is the fraction of deposits that banks must hold as reserves. If the current required reserve ratio is 8.1% and a bank receives a new deposit of $15,000, they can lend out $13,785.

The bank can lend out the amount equal to the deposit minus the required reserve amount. In this case, the new deposit is $15,000 and the required reserve ratio is 8.1%, so the calculation is as follows:

Required reserve amount = Deposit × Required reserve ratio

Required reserve amount = $15,000 × 0.081

Required reserve amount = $1,215

The bank must hold $1,215 as required reserves and can lend out the remaining amount:Amount available for lending = Deposit − Required reserve amount

Amount available for lending = $15,000 − $1,215

Amount available for lending = $13,785

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Answer:

1080°

Step-by-step explanation:

hope this helped <3

Answer: A,C,E

Step-by-step explanation:

edge 2023

Considering the vertex of a quadratic equation, the greatest rectangular area that the farmer can enclose with 100 m is of 625 m².

A quadratic equation is modeled by the rule presented as follows:

y = ax^2 + bx + c

The vertex has these following coordinates.

\((x_v, y_v)\)

In which:

Considering the coefficient a, we have that the vertex can represent either a maximum or a minimum point in the function, as follows::

In this problem, the coefficients of the quadratic equation representing the area are given as follows:

a = -1, b = 50.

The greatest rectangular area that the farmer can enclose with 100 m is the y-coordinate of the vertex of the quadratic equation, hence:

\(y_v = -\frac{50^2 - 4(-1)(0)}{4(-1)} = 625\)

The area is of 625 m².

The quadratic equation for the area is:

A(w) = -w² + 50w

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Answer:

625

explanation:

trust

The given table represents the additive property of the relation.

What about additive property?

In mathematics, the additive property refers to the property that allows the addition of two or more numbers to produce a sum or total. It states that the order in which the numbers are added does not affect the result.

The additive property can be expressed mathematically as follows:

⇒ a + b = b + a

For example, the additive property of integers states that if you add any two integers, the order in which you add them does not matter. So, 3 + 4 is the same as 4 + 3, and both equal 7.

The additive property can be extended to other mathematical operations as well, such as addition of vectors, matrices, and complex numbers. In all cases, the order in which the elements are added does not affect the final result.

According to the given information:

When we check in case of (X) we have that ,

5 + 10 = 15 , 10 + 15 = 25 , 15 + 25 = 40 that follow additive property

In the same way for (Y)

1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8 that also follow additive property of the given condition.

So, the both condition follow additive property .

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Answer:

It would cost $ 34.5

Step-by-step explanation:

Given,

The cost of 3/4 lb of chopped walnut = $ 3.45,

So, the cost of 1 lb of chopped walnut = 4/3*3.45

=4*1.15

= $ 4.6,

Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut

= 7.5 × 4.6

= $ 34.5

The density of Object A is 2 g/\(cm^3\) and the density of Object B is 3 g/\(cm^3\). To calculate the densities of Object A and Object B, we first need to find their volumes.

The volume of Object A can be calculated using the formula length x width x height, which gives us 6 cm x 3 cm x 1 cm = 18 \(cm^3\). The volume of Object B can be calculated using the same formula, which gives us 10 cm x 5 cm x 2 cm = 100 \(cm^3\).
Now that we have the volumes, we can calculate the densities. Density is defined as mass divided by volume, so for Object A, the density is 36 g ÷ 18 \(cm^3\) = 2 g/\(cm^3\). For Object B, the density is 300 g ÷ 100 \(cm^3\) = 3 g/\(cm^3\).
It's important to always include units in our calculations and final answers to ensure that they are accurate and clear. In this case, we used cm for length, width, and height, g for mass, \(cm^3\) for volume, and g/\(cm^3\) for density.

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Answer:

Step-by-step explanation:

\( \frac{2x - 4}{5} =4\)

First of all multiply through by 5 to eliminate the fraction

That's

\(5 \times \frac{2x - 4}{5} = 4 \times 5 \\ 2x - 4 = 20\)

Next using the addition property add 4 to both sides of the equation

We have

\(2x - 4 + 4 = 20 + 4 \\ 2x = 24\)

Divide both sides by 2

\( \frac{2x}{2} = \frac{24}{2} \)

We have the final answer as

Hope this helps you

x=12

I take a photo of the problem, I hope I helped you