i really need help with this​

If 3 appears on the first die, then the sum of the numbers on the two dice can be 8 only if 5 appears on the second die. The probability of rolling a 5 on a single die is 1/6, so the probability of rolling a 3 and a 5 on two dice is 1/6 * 1/6 = 1/36. This means that the probability of rolling a sum of 8 when 3 appears on the first die is 1/36.

1. a) sqrt(-24) * sqrt(-3) simplifies to -6sqrt(2). b)(sqrt(-8)) / (sqrt(72))^2 simplifies to (i * sqrt(8)) / 24 2.a)w + z = -1 + 6i b)w - z = 7 + 4i c)wz = -17 - 17i d)w/z = -3/4 - 5/4 i. Let's determine:

(a) To find the product of two square roots of negative numbers, we can simplify as follows:

sqrt(-24) * sqrt(-3)

Using the property of square roots, we can rewrite this expression as:

sqrt((-1)(24)) * sqrt((-1)(3))

Taking the square root of -1, we get:

i * sqrt(24) * i * sqrt(3)

Simplifying further, we have:

i^2 * sqrt(24) * sqrt(3)

Since i^2 is equal to -1, the expression becomes:

-1 * sqrt(24) * sqrt(3)

Finally, simplifying the square roots, we get:

sqrt(24) * sqrt(3) = - 2sqrt(6) * sqrt(3) = - 2sqrt(18) = - 2sqrt(9 * 2) = - 6sqrt(2)

Therefore, sqrt(-24) * sqrt(-3) simplifies to -6sqrt(2).

(b) To simplify the quotient of two square roots, we can follow these steps:

(sqrt(-8)) / (sqrt(72))^2

Starting with the numerator:

sqrt(-8) = sqrt((-1)(8)) = sqrt(-1) * sqrt(8) = i * sqrt(8)

And for the denominator:

(sqrt(72))^2 = sqrt(72) * sqrt(72) = sqrt(72 * 72) = sqrt(5184) = 72

Now, substituting the numerator and denominator back into the expression:

(i * sqrt(8)) / 72

Simplifying further, we have:

i * (sqrt(8) / 72) = i * (sqrt(8) / 8 * 9) = i * (sqrt(8) / 8 * sqrt(9)) = i * (sqrt(8) / 8 * 3) = (i * sqrt(8)) / 24

Therefore, (sqrt(-8)) / (sqrt(72))^2 simplifies to (i * sqrt(8)) / 24.

(a) To find the sum of two complex numbers w and z in rectangular form, we simply add their real and imaginary parts:

w = 3 + 5i

z = -4 + i

Adding the real parts gives us:

3 + (-4) = -1

Adding the imaginary parts gives us:

5i + i = 6i

Therefore, w + z = -1 + 6i.

(b) To find the difference between two complex numbers w and z in rectangular form, we subtract their real and imaginary parts:

w = 3 + 5i

z = -4 + i

Subtracting the real parts gives us:

3 - (-4) = 7

Subtracting the imaginary parts gives us:

5i - i = 4i

Therefore, w - z = 7 + 4i.

(c) To find the product of two complex numbers w and z in rectangular form, we use the distributive property:

w = 3 + 5i

z = -4 + i

Multiplying the real parts gives us:

3 * (-4) = -12

Multiplying the imaginary parts gives us:

5i * i = 5i^2 = -5

Multiplying the real part of w by the imaginary part of z gives us:

3 * i = 3i

Multiplying the imaginary part of w by the real part of z gives us:

5i * (-4) = -20i

Adding the results together, we get:

-12 - 5 + 3i - 20i = -17 - 17i

Therefore, wz = -17 - 17i.

(d) To find the quotient of two complex numbers w and z in rectangular form, we divide their respective parts:

w = 3 + 5i

z = -4 + i

Dividing the real parts gives us:

(3) / (-4) = -3/4

Dividing the imaginary parts gives us:

(5i) / (i) = 5

Dividing the real part of w by the imaginary part of z gives us:

(3) / (i) = -3i

Dividing the imaginary part of w by the real part of z gives us:

(5i) / (-4) = -5/4 i

Putting the results together, we have:

-3/4 - 5/4 i

Therefore, w/z = -3/4 - 5/4 i.

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The expected number of adults who prefer coffee is 150.

We must determine the anticipated number of adults who prefer coffee in order to test for independence between age and drink preferences.

First, let's look at the totals of the rows and columns to figure out the expected values for each category. The formula is available to us:

Anticipated esteem = (Line absolute * Section complete)/Stupendous aggregate

The stupendous complete for this situation is 1000.

Number of adults expected to prefer coffee:

= (Adults total minus Coffee total) / Grand total = (600 minus 250) / 1000 = 150; consequently, 150 adults are anticipated to prefer coffee.

In this way, the right response is (a) 150.

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Answer: The answer I got is 15.6

Answer:

6 6/7

Step-by-step explanation:

Hope this helps:)

Answer:

1/4 more Ice Cream than Marita

Step-by-step explanation:

1/2 = 2/4

3/4 - 2/4 = 1/4

Hope this helps!

Yours Truely, TheAnimeCatUwU.

Answer:

1/4

Step-by-step explanation:

please mark branliest i need to move up a rank :D

If the absolute value of your calculated t-statistic exceeds the critical value from the appropriate t-distribution, you can reject the null hypothesis.

In regression analysis, the t-statistic is used to test the significance of the regression coefficients. It measures how many standard errors the estimated coefficient is away from zero. To determine whether the coefficient is statistically significant, we compare the absolute value of the calculated t-statistic to the critical value from the t-distribution.

The critical value is based on the desired level of significance (usually denoted as alpha) and the degrees of freedom in the regression model. If the absolute value of the calculated t-statistic is greater than the critical value, it indicates that the coefficient is statistically significant at the chosen level of significance. This means that the coefficient is unlikely to be zero, and we can reject the null hypothesis that the coefficient is not significantly different from zero.

On the other hand, if the absolute value of the calculated t-statistic is less than the critical value, it suggests that the coefficient is not statistically significant, and we fail to reject the null hypothesis. This means that the coefficient may be zero or not significantly different from zero.

When the absolute value of the calculated t-statistic exceeds the critical value from the appropriate t-distribution, it indicates that the regression coefficient is statistically significant. This allows us to reject the null hypothesis and conclude that there is a significant relationship between the independent variable and the dependent variable.

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The average Temperature will be 0°F. Property of Mean will be used to find out the Average temperature.

In the given question, we are given a data series which is -5 °F, 3 °F, -1°F, 2°F 4 °F, -3 °F. We have to find out the Average High temperature in this series. For finding out the average we need to use the property of Mean.

The formula for Mean can be defined as:

=>  Mean = Sum of all number/Number of terms

Putting the data values in the formula of mean we get:

     => Mean = (-5 +3 -1 +2 +4 -3)/6  => Mean = 0/6

     => Mean = 0

Hence, The average Temperature of the recorded data will be: 0 °F.

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Answer:

Functions: 2

Not a Function: 1 and 3

Step-by-step explanation:

1 and 3 cross over each other and don't go in a straight line.

Whilst, 2 does technically go in a straight line.

To determine the number of offspring with skin darker than their parents, we need more information about the specific genetic inheritance patterns and traits involved.

The answer depends on factors such as the dominance or recessiveness of genes controlling skin color, the genotype of the parents, and the specific combination of alleles passed on to the offspring.

Without additional information, it is not possible to provide an accurate count of the number of offspring with darker skin. Genetic inheritance is a complex process that involves multiple genes and interactions, making it necessary to consider specific genetic traits and their inheritance patterns to determine the outcome.

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After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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After the conversion of $500 in japanese yen Ben will have 61,650 yen.

According to the question.

The amount of money in US dollars Ben wishes to convert in Japanese yen is $500.

Also, it is given that

$1 = 123.3yen

Therefore,

The number of yen Ben have after the conversion of dollars in yen

= 500 × 123.3

= 61,650

Hence, after the conversion of $500 in japanese yen Ben will have 61,650 yen.

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Answer:

0.1%

Step-by-step explanation:

0.1%

Answer:

No solution.

Step-by-step explanation:

Then the equation has no solution.

For example

2x - 2 = 2x + 1

-2x - 2x

-2 = 1.

___________________________________________

Brainliest?

Answer:

Infinite answers

Step-by-step explanation:

To solve the initial value problem, we first need to find the general solution of the given differential equation, which is a second-order linear differential equation with constant coefficients. The characteristic equation is r^2 - 8x^3 = 0, which has roots r = ±(2x)^(3/2). Therefore, the general solution of the differential equation is v(x) = c1(2x)^(3/2) + c2(-2x)^(3/2).

To find the values of the constants c1 and c2, we use the initial conditions v(8) = -48 and x0 = 2. Substituting x = 8 and v(x) = -48 into the general solution, we get -48 = c1(16)^(3/2) + c2(-16)^(3/2). Simplifying, we get c1 - c2 = -3.

To find c1 and c2, we differentiate the general solution with respect to x and substitute x = 2 and v'(2) = -8 into the resulting expression. We get v'(x) = 3x^(1/2)c1 - 3x^(1/2)c2, and substituting x = 2 and v'(2) = -8, we get -8 = 6c1 - 6c2. Simplifying, we get c1 + c2 = 4/3.

Solving the system of equations c1 - c2 = -3 and c1 + c2 = 4/3, we get c1 = 5/6 and c2 = -17/6. Therefore, the solution of the initial value problem is v(x) = (5/6)(2x)^(3/2) - (17/6)(-2x)^(3/2).

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there are a total of 150 chocolate chips for each tray of cookies. if bella is baking 2 trays of chocolate chip cookies, then Bella will bake a total of 36  cookies.

To determine the total number of cookies Bella will bake, we need to calculate the number of cups of flour she will use. Since it takes 1/6 cup of flour to bake 6 cookies, for 150 chocolate chips (which equals 3 cups), Bella will need (3/1)  (1/6) = 1/2 cup of flour.

Since Bella is baking 2 trays of chocolate chip cookies, she will use a total of 1/2 × 2 = 1 cup of flour.

Now, let's determine how many cookies can be baked with 1 cup of flour Using combination of conversion . We know that Bella uses 1 cup of flour for every 50 chocolate chips. Since each tray has 150 chocolate chips, Bella will be able to bake 150 / 50 = 3 trays of cookies with 1 cup of flour.

Therefore, Bella will bake a total of 3 trays × 6 cookies per tray = 18 cookies per cup of flour. Since she is using 1 cup of flour, she will bake a total of 18 * 1 = 18 cookies.

As Bella is baking 2 trays of chocolate chip cookies, the total number of cookies she will bake is 18 × 2 = 36 cookies.

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Consider the selection of officers for a club. This is a combination.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

The combination formula is used to determine how many options there are for choosing things from a collection so that the order in which they are chosen is irrelevant. Combination, to put it simply, is the choosing of items or things from a bigger group when the order doesn't important.

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To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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Answer:

To construct a triangle with angles 67° and 54° and a side length of 6 cm, follow these steps:

Using a ruler, draw a horizontal line segment of length 6 cm. This will be the base of the triangle.

Using a pair of compasses, set the distance to 3 cm (half the length of the base). Place the point of the compasses on one end of the base line, and draw an arc above the line.

Repeat step 2 on the other end of the base line. The two arcs should intersect at a point above the base line.

Using a protractor, measure the angle between the base line and one of the arcs. It should be 67°.

Using a pencil, draw a line segment connecting the intersection of the arcs to one end of the base line. This line segment will be one of the sides of the triangle.

Measure the length of this line segment using a ruler. This will be the length of the side adjacent to the 67° angle.

The resulting triangle should have angles of 67°, 54°, and 109° (the sum of the angles in any triangle is 180°). The length of the side adjacent to the 67° angle can be measured using a ruler.

x + 7y + 3z

Explanation:

The expression: 4x + 2y + 6z - 3x + 5y - 3z​

collect like terms by bringing same letters together:

= 4x - 3x + 2y + 5y + 6z - 3z

= x + 7y + 3z

Since the letters are different, we can't simplify any further

The simplified form: x + 7y + 3z

Answer:

x=20 cm

Step-by-step explanation:

Let x be the  length of  equal sides.

Area of triangle=\(200cm^2\)

We have to find the values of x.

We know that

Area of right triangle=\(\frac{1}{2}bh\)

Where b=Base of triangle

h=Height of triangle

Using the formula

Area of right triangle=\(\frac{1}{2}x^2\)

\(200=\frac{x^2}{2}\)

\(x^2=200\times 2\)

\(x^2=400\)

\(x=\sqrt{400}\)

\(x=20cm\)

Hence, the value of x=20 cm

Answer:

y = -2x + 5

Step-by-step explanation:

Slope-intercept form is writen like this; y = mx + b. Where m = slope and b = y-intercept.

We know the slope, so, find the y-intercept.

y = -2x + b

3 = -2(1) + b

3 = -2 + b

5 = b

Put everything we know/solved for into the original formula.

y = -2x + 5

Best of Luck!

\(base \: area = 44.3 \: {units}^{2} \)

\(volume = 221.5 \: {units}^{3} \)

the height of the given rectangular prism.

\(volume= base \: area \times height\)

\(height = \frac{volume}{base \: area} \)

\(height = \frac{221.5}{44.3} \)

\(height = 5 \: units\)

Therefore, the height of the given rectangular prism is 5 units.

The value of height of rectangular prism is,

⇒ h = 5 units

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The rectangular prism below has a base area of 44.3 units² and a volume of 221.5 units³.

Since, The volume of rectangular prism is,

⇒ V = Base area x height

⇒ 221.5 = 44.3 × h

⇒ h = 221.5 / 44.3

⇒ h = 5 units

Thus, The value of height of rectangular prism is,

⇒ h = 5 units

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The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.

Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.

The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.

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The  variable x represent the length of rectangle.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter= 64 units

let the length be x.

So, width = x - 3

So, Perimeter of rectangle = 2 ( l + w)

64 = 2( x+ x -3)

32 = 2x -3

29= 2x

x= 29/2

Hence, the variable x represent the length of rectangle.

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Answer:

(4x - 10) = 58  

Step-by-step explanation:

Problem? ?   If   (4x - 10) - 58 = 0  

        (4x -10) - 58 +58 = 0 + 58             Add 58 to both side of the equation  

   (4x - 10) = 58        

The order of the angles from the least measure to greatest measure is ∠HGB, ∠ECD, ∠FGH and ∠GBH. The solution has been obtained by using the properties of angles.

What is an angle?

When two rays or lines share an endpoint, they form an angle, which is a figure in plane geometry.

We are given that CEFH is a parallelogram. We know that the adjacent angles of a parallelogram are supplementary.

So,

⇒∠FEC + ∠HCE = 180°

⇒124° + ∠HCE = 180°

⇒∠HCE = 56°

We know that angles on a straight line form a linear pair.

So,

⇒∠BCH + ∠HCE + ∠ECD = 180°

⇒90° + 56° + ∠ECD = 180°

⇒∠ECD = 34°

We know that the opposite angles of a parallelogram are equal.

So,

⇒∠FEC = ∠FHC

⇒∠FHC = 124°

Now,

⇒∠FHC + ∠FHG = 180°

⇒∠FHG = 56°

Using the angle sum property of triangle, we get

⇒∠FHG + ∠FGH + ∠GFH = 180°

⇒56° + ∠FGH + 87° = 180°

⇒∠FGH = 37°

∠GHB = 124°     (Vertically opposite angles)

∠CHB = 56°     (Vertically opposite angles)

Using the angle sum property of triangle, we get

⇒∠BCH + ∠CHB + ∠HBC = 180°

⇒90° + 56° + ∠HBC = 180°

⇒∠HBC = 34°

∠GBH = 44°    (Straight line angle)

∠HGB = 12°     (Angle sum property of triangle)

Hence, order of the angles from the least measure to greatest measure is ∠HGB, ∠ECD, ∠FGH and ∠GBH.

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