Write an algebraic expression to represent the new y-coordinate after a translation of four yards south given any initial y-coordinate, y.

The probability of drawing 2 blue marbles from the box is 1/10. In this problem, we have a box with 2 blue marbles (B1 and B2) and 3 red marbles (R1, R2, and R3).

When we draw marbles without replacement, it means that after each draw, we do not put the marble back into the box.

To determine the probability of drawing 2 blue marbles, we need to calculate the favorable outcomes (drawing 2 blue marbles) and divide it by the total number of possible outcomes.

The favorable outcome is only one, which is drawing both B1 and B2. The total number of possible outcomes is the total number of ways to draw 2 marbles out of 5, which can be calculated using the combination formula: C(5, 2) = 5! / (2! * (5-2)!) = 10.

So, the probability of observing the event of drawing 2 blue marbles is 1/10.

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Answer:

  3)  25

  4)  32

Step-by-step explanation:

In each of the pairs of similar figures, you want to solve for the variable.

Sometimes, the problem statement gives you more information than you need. Here, the smaller triangle can be ignored. It has no marking corresponding to x, and the larger triangle has all the information needed.

The Pythagorean theorem can be used to find the length of the hypotenuse, given the lengths of the other two sides in the right triangle.

  c² = a² +b²

  x² = 15² +20² = 225 +400 = 625

  x = √625 = 25

The value of x is 25.

The similarity statement ABCD ~ EFGH means we can write the proportion ...

  HE/DA = EF/AB . . . . . . . . corresponding sides are proportional

  x/28 = 16/14 . . . . . . . . . use the given measures

  x = 28(16/14) = 32 . . . . multiply by 28

The value of x is 32.

__

Additional comment

If you recognize the ratios of the sides of the right triangles are 15:20 = 3:4, then you can make use of your knowledge of the 3-4-5 right triangle to write the proportion ...

  3 : 4 : 5 = 15 : 20 : 25 = 15 : 20 : x   ⇒   x=25

Answer:

X represents: The number of miles driven

Y represents: The cost for the cab ride

(1) The y-intercept is (0,5). In the context of the problem, (0,5) means that the passenger has to pay a fee of $5 to get in the cab. (0,5) is the initial value the passenger has to pay.

(2) The slope is 1.50. In the context of the problem, the slope 1.50 means that for every mile driven, the passenger has to pay $1.50.

(3) You cannot afford to take a cab.

Let y= the cost for the cab ride (in dollars) and let x= the number of miles driven.

If you substitute the number of miles it will take you to get to Lincon Center (3.5 miles):

\(y = 1.5x+5\)

\(y = 1.5(3.5) + 5\)

\(y = 5.25 + 5\)

\(y = 10.25\)

y, the cost for the cab ride, will be $10.25. $10.25 is greater than $10. Therefore, you cannot afford to take a cab.

Graph and table:

If my response helped you, please give a !

Answer: 24 band posters should be sold

Step-by-step explanation:

First take the expression down to its simplest form;

= 5:4

Assume she sells 30 movie posters, her movies posters drop to;

= 100 - 30

= 70 movie posters

We need a number of band posters remaining that will give a ratio of 5:4 with movie posters.

In fraction form, the number of movie posters is;

= 5/9 because 9 would be the total number of both movie posters and band posters.

Create an expression to find the total number of posters if 70 are movie posters;

5/9x = 70

x = 70 ÷ 5/9

x = 126 posters

Number of band posters that should be left are;

= 126 - 70

= 56

Number of band posters that should be sold;

= 80 - 56

= 24 posters

The new ratio would be 70:56.

The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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To graph the solution, we can draw a vertical line at x = 2 and shade in all the values of x that are to the left of the line.

Inequality is a mathematical statement that compares two values or expressions using symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

To graph the solution of this inequality, we can start by isolating the variable x on one side of the inequality:

3x + 1 < 7

3x < 6

x < 2

This means that all values of x that are less than 2 will satisfy the inequality. To graph this solution, we can draw a vertical line at x = 2 and shade in all the values of x that are to the left of the line, as shown in the below graph.

The shaded area represents the solution to the inequality 3x + 1 < 7.

For example, 5 < 10 is an inequality that states that 5 is less than 10. Similarly, 7x > 21 is an inequality that states that 7 times x is greater than 21.

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\(d = \sqrt{ - 2 - 0) {}^{2} + ( - 2 - 5) {}^{2} } \)

\(d = \sqrt{( - 2) {}^{2} + ( - 7) {}^{2} } \)

\(d = \sqrt{4 + 49} \)

\(d = \sqrt{53} = 7.28 = 7.3\)

In polar coordinates, r ² = x ² + y ², so

x ² + y ² = 144   →   r ² = 144

12² = 144, so this reduces to

r = 12

which represents a circle with radius 12.

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

10

Step-by-step explanation:

Remove parentheses.

|9+1|

Simplify  9+1  to 10.

|10|

simplify

10

From the result you can see that the result must have a significant figure of 2 since that is the lowest significant figure in question

The standard scientific notations is expressed according to the expression A * 10^n

where

A is any value from 1 to 10

Given the following quotient

4.0286 × 10^9/3.1 × 10^−4

This can also be expressed as:

4.0286 × 10^9/3.1 × 10^−4 = (4.0286/3.1) × 10^9+4
4.0286 × 10^9/3.1 × 10^−4 = 1.2995 × 10^13

From the result you can see that the result must have a significant figure of 2 since that is the lowest significant figure in question

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Answer: The answer is 2

Step-by-step explanation: Hope this helps :)

After dilation with the given scale factor, the coordinate of M is (-4/3, 2/3)

Dilation of a figure is a transformation that changes the size of the figure while preserving its shape. In a dilation, the figure is either enlarged or reduced by a scale factor, which is a constant ratio. The scale factor determines how much the figure is stretched or compressed.

During a dilation, each point of the original figure is multiplied by the scale factor to determine the corresponding position of the dilated figure. The center of dilation is a fixed point around which the figure is expanded or contracted.

In he figure given, the point M have coordinate at (-2, 1)

After dilation with a scale factor of 2/3, the coordinate of M changes to;

M(-2, 1) = 2/3(-2, 1) = -4/3, 2/3

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Answer:

24 cups of flour

Step-by-step explanation:

good luck

Answer:

17.2

Step-by-step explanation:

have a long division bar set up put the numbers in move the decimal until it makes a whole number and just divide and then how many spots you moved the decimal move it that amount of times

Answer:

17.2

Step-by-step explanation:

43 divided by 2.5

The divisor is not a whole number, so we need to make it a whole number, and so 2.5 times 10 = 25. It is now a whole number.

You must do the same for 43. 43 times 10 = 430

Now you divide.

430 divided by 25 = 17.2

17.2

Hope it helps!

Brainliest if it helped you

The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

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500KB = 1 sec

5minutes = ?KB

5 minutes × 60 = 300seconds

300seconds × 500KB = 150000KB

The errors she made are She did not find the correct vertex; it should be at (8, 5) and She used the wrong area formula; it should be A = one-half b h, the incorrect options are B and C.

Error is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Supopse that we're given that:

Population standard deviation =\(\sigma\)

Size of sample we're working on = n

Then, the standard error can be calculated as:

\(SE = \dfrac{\sigma}{\sqrt{n}}\)

where SE denotes the standard error.

Given;

On a coordinate plane, 2 line segments are formed by points (1, 5), (5, 2), (12, 2).

She begins by finding the missing vertex on the graph to be point (9, 5).

Now,

The parallelogram is a simple quadrilateral with two parallel pairs of sides; The opposite or reverse sides of the parallelogram are of similar duration and the reverse angles of the parallelogram are of equivalent proportion;

The square has two sets of parallel sides, four right angles, and the four sides are identical. It's even a triangle and a parallelogram;

The rhombus is known as a four-sided parallelogram;

Therefore, the error will be in B and C.

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The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Step 1

Find the polar coordinates of the rectangular coordinates

To convert from the cartesian coordinates (x,y) to polar coordinates (r,θ), we use the following equation.

Step 2

We have;

The answer therefore is;

Answer:

Decreases

Step-by-step explanation:

A negative correlation means the y is big when the x is small. As x gets bigger, y gets smaller.

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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Answer:

About a milli

Step-by-step explanation:

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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