PLEASE HELP!!!!! During the basketball game, the cheerleaders sold 50 scratch tickets. There are 2 winning scratch tickets and 48 that are not winners. What is the probability that neither the first nor the second scratch ticket SOLD are winners?

Answer:

52,5

Step-by-step explanation:

50+55=105

105:2=52,5

Average speed of the entire trip is 52.5 km/hr

Given that;

Speed of car during the way = 50 km/hr

Speed of car in return = 55 km/hr

Find:

Average speed of the entire trip

Computation:

Average speed of the entire trip = Sum of speed / 2

Average speed of the entire trip = [50 + 55] / 2

Average speed of the entire trip = 105 / 2

Average speed of the entire trip = 52.5 km/hr

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Answer:

isocles

Step-by-step explanation:

The sides are not equal

A) We calculate the scale point multypling the coordinates of the original point by the scale factor:

The transformed point is P'=(3,-6)

B) We have one point A=(-8,-5) that is reflected over a point C=(0,-3). The image is point B.

As it is reflected, the B point is at the same distance from C=(0,-3) than A.

We can see this in a graph:

A is at a distance of 8 units in the x-axis and 2 units in the y-axis.

Then, we add this distance to C (in the opposite direction from A) in order to get B.

B=(0,-3)+(8,2)=(8,-1).

The point B is (8,-1).

Answer:

42 degrees

Step-by-step explanation:

So, first to find <QUT, which is a vertical angle, we have to figure out either QUR or TUS.  So:

9x+3=11x-27

solve for x:

x=15

Then, plug it into one of the equations.  Let's use 9x+3.

9(15)+3=138

So, we know that QUR is 138 degrees.

That means that TUS is ALSO 138.

138x2=276

Now we know that QUT and RUS have to equal whatever 360-276 is:

360-276=84

QUT and RUS have to equal 84 degrees, so we DIVIDE by 2.

84/2=42

So, QUT=42 degrees

Answer:

42 Degrees

Step-by-step explanation

Becuase (11x-27) and (9x+3) are vertical angles that means they are equal to each other

(11x - 27) = (9x + 3)

First you will add 27 to both sides

11x -27 = 9x +3

     +27         +27

Making it to:

11x = 9x + 30

Now you need to subtract 9x from both sides

11x = 9x +30

-9x   -9x

Turning it into this

2x= 30

Now Lastly, divide both sides by 2

2x = 30

2x     2x

And the answer is...... X=15

Now that you have the x value, we go back to the 11x-27 and replace the X with 15

11(15) -27 = 138 degress

Now because angle QUT and 138 degrees make a straight line that means together they will be 180 degress so you will subtract 180 by 138

Giving you the final answer of

42 Degrees

The reliability of two components in series is 0.996.

To find the reliability of the engine, we need all the two components to work. Each components has a reliability of 0.998, so to find the reliability of the engine we need to find the probability of all two components working.

Reliability is defined as the probability that a product, system, or service will perform its intended function adequately for a specified period of time, or will operate in a defined environment without failure.

We can find this probability multiplying all the ten reliabilities:

P = 0.998^2 = 0.996004

Rounding to three decimal places, we have P = 0.996

The reliability of the engine is 0.996.

Hence,

The reliability of two components in series is 0.996.

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Answer:

125 degrees

Step-by-step explanation:

Answer:

Quadrilateral

Step-by-step explanation:

I remember learning this in math class. A parallelogram has two dimensions. Each of its four sides has two parallel pairs. The parallel sides have the same length.

Answer:

Move the variables to one side and the constants to the other through subtraction/additions to BOTH SIDES. Then, divide/multiply to get x = some constant.

Step-by-step explanation:

Try Khan Academy.

Answer:

x=7

Step-by-step explanation:

−3(x−1)+8(x−3)=6x+7−5x

(−3)(x)+(−3)(−1)+(8)(x)+(8)(−3)=6x+7+−5x(Distribute)

−3x+3+8x+−24=6x+7+−5x

(−3x+8x)+(3+−24)=(6x+−5x)+(7)(Combine Like Terms)

5x+−21=x+7

5x−21=x+7

Step 2: Subtract x from both sides.

5x−21−x=x+7−x

4x−21=7

Step 3: Add 21 to both sides.

4x−21+21=7+21

4x=28

Step 4: Divide both sides by 4.

4x/4=28/4

Answer:

x = 7

Step-by-step explanation:

Given

- 3(x - 1) + 8(x - 3) = 6x + 7 - 5x ← distribute parenthesis on left side and simplify

- 3x + 3 + 8x - 24 = x + 7

5x - 21 = x + 7 ( subtract x from both sides )

4x - 21 = 7 ( add 21 to both sides )

4x = 28 ( divide both sides by 4 )

x = 7

Answer:

A circle is one sided, so it would just be the circumference of the circle.

Answer:

The perimeter of a circle is called circumference. It can be found using the formula pi multiplied by 2 multiplied by the radius of the circle. Hope this helps!

The approximated possible propagated error in computing the volume of the cube is 20.25 .

The approximated possible propagated error in computing the surface area of the cube is 5.4.

The formula's for volume and surface area of cube is as follows,

\(V=a^3\\S=6a^2\)

Where a is the side of the cube.

When you utilize those questionable measurements to calculate something else, error propagation (or uncertainty propagation) occurs to measurement mistakes.

The error in the edge of the cube is 0.03 inch, so

\(a=15\pm0.03\)

Δa=0.03 inches

Now, differentiating the volume function of cube,

\(\frac{dV}{da} =3a^2\\dV=3a^2da\)

Putting the values,

Δ\(dV=3(15)^2\times0.03\\dV=20.25\)

Now, differentiating the surface area function of cube,

\(\frac{dS}{da}=12a\)

Putting the values,

\(dS=12\times15\times da\\dS=12\times15\times 0.03\\dS=5.4\)

Therefore, The approximated possible propagated error in computing the volume of the cube is 20.25 and The approximated possible propagated error in computing the surface area of the cube is 5.4.

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Using the normal distribution, the probability that a single randomly selected value is less than 971 dollars is 0.2123.

In the given question,

CNNBC recently reported that the mean annual cost of auto insurance is 1007 dollars.

The standard deviation is 241 dollars.

We take a simple random sample of 99 auto insurance policies.

We have to find the probability that a single randomly selected value is less than 971 dollars.

From the question,

Mean = 1107 dollars

Standard Deviation = 241 dollars

So the probability that a single randomly selected value is less than 971 dollars.

Using the normal distribution

z = (x−mean)/Standard Deviation

P(x<971) = P(z<(973−1107)/241)

Simplifying

P(x<971) = P(z<(−134)/241)

P(x<971) = P(z<−0.56)

P(x<971) = 0.2123

Hence, the probability that a single randomly selected value is less than 971 dollars is 0.2123.

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Answer:

\(\textsf{1)} \quad \dfrac{x^2}{169}+\dfrac{y^2}{144}=1\)

\(\textsf{2)} \quad \dfrac{x^2}{25}+\dfrac{y^2}{169}=1\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\\end{minipage}}\)

If a > b, the ellipse is horizontal:

If b > a, the ellipse is vertical:

Given the center of the ellipse is (0, 0):

Given the vertices are (±13, 0), the ellipse is horizontal.

Equate the vertex formula with the actual vertex and solve for a:

\(\begin{aligned}\implies (h \pm a, k) &= (\pm 13, 0)\\(0 \pm a, 0) &= (\pm 13, 0)\\(\pm a, 0) &= (\pm 13, 0)\\a&=13\end{aligned}\)

Given the foci are (±5, 0) and the ellipse is horizontal.

Equate the foci formula with the actual foci and solve for c:

\(\begin{aligned}\implies (h \pm c, k) &= (\pm 5, 0)\\(0 \pm c, 0) &= (\pm 5, 0)\\(\pm c, 0) &= (\pm 5, 0)\\c&=5\end{aligned}\)

To find b, substitute the found values of a and c into c² = a² − b²:

\(\begin{aligned} \implies c^2&=a^2-b^2\\5^2 &= 13^2 - b^2\\b^2 &= 13^2 - 5^2\\b^2 &= 169 - 25\\b^2 &= 144\\b&=12\end{aligned}\)

To create an equation of the ellipse with the given properties, substitute the values of h, k, a and b into the general equation of an ellipse:

\(\implies \dfrac{(x-0)^2}{13^2}+\dfrac{(y-0)^2}{12^2}=1\)

\(\implies \dfrac{x^2}{169}+\dfrac{y^2}{144}=1\)

Given the foci are (0, ±12), the ellipse is vertical.

Equate the foci formula with the actual foci:

\(\begin{aligned}\implies (k, h \pm c) &= (0,\pm 12)\end{aligned}\)

Therefore, the center is (0, 0) and c = 12:

The major axis of a vertical ellipse is 2b.

Given the major axis length is 26 units:

\(\begin{aligned}\implies 2b&=26\\b&=13\end{aligned}\)

To find a, substitute the found values of b and c into c² = b² - a²:

\(\begin{aligned} \implies c^2&=b^2-a^2\\12^2 &=13^2-a^2\\a^2&=13^2 + 12^2\\a^2&=169+144\\a^2&=25\\a&=5\end{aligned}\)

To create an equation of the ellipse with the given properties, substitute the values of h, k, a and b into the general equation of an ellipse:

\(\implies \dfrac{(x-0)^2}{5^2}+\dfrac{(y-0)^2}{13^2}=1\)

\(\implies \dfrac{x^2}{25}+\dfrac{y^2}{169}=1\)

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Given data; ace value, FV = $12,000Discount rate, i = 10%Time, t = 125 days Solution;(A) To calculate the bank discount, we use the formula for simple interest discount; Bank discount = FV * i * t/360.

we have; Bank discount = 12,000 * 0.10 * 125/360= $416.67Proceeds = FV - Bank discount Proceeds = 12,000 - 416.67= $11,583.33(C) To calculate the effective interest rate, we use the formula;Effective interest rate = [1 + (i * t/ 360)] / [1 - (i * t/ 360)] - 1Substituting the given values, we have; Effective interest rate = [1 + (0.10 * 125/ 360)] / [1 - (0.10 * 125/ 360)] - 1= 0.1429 / 0.8571= 0.1667The effective interest rate to nearest hundredth percent is 16.67%.Therefore; Bank discount = $416.67, Proceeds = $11,583.33 and the effective interest rate is 16.67%.

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Answer:

20% gained

Step-by-step explanation:

25 - 20 = 5

5 / 25 * 100 = 20%

Answer & Step-by-step explanation:

First, we have to subtract 3x² + 4x - 5 from 7x² + x + 9. Then we subtract 4x² - 3x from that difference.

(7x² + x + 9) - (3x² + 4x - 5)

Distribute the negative sign (-) to 3x² + 4x - 5

7x² + x + 9 - 3x² - 4x + 5

Combine like terms

4x² - 3x + 14

Now, we are going to subtract 4x² - 3x from this difference.

(4x² - 3x + 14) - (4x² - 3x)

Distribute the negative sign (-) to 4x² - 3x

4x² - 3x + 14 - 4x² + 3x

Combine like terms

14

So, after subtracting the first two polynomials and then subtracting 4x² - 3x from that difference, the final answer will be 14

Answer:

1/4

Step-by-step explanation:

The convex hull of the set of special orthogonal matrices in R3 (denoted by SO(3)) is the smallest convex shape that contains all the matrices in SO(3).

In simpler terms, it is the shape that you would get if you took all the matrices in SO(3) and stretched and molded them until they formed a solid 3D shape. The matrices in SO(3) are special because they are orthogonal (meaning their columns are perpendicular to each other) and have a determinant of 1.

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The convex hull of the set of special orthogonal matrices in ℝ³, denoted SO(3), can be described as the smallest convex shape that contains all the special orthogonal matrices in ℝ³.

What is a matrix?

A matrix is a rectangular array of numbers or elements arranged in rows and columns. It is a fundamental mathematical object used in various fields such as linear algebra, computer science, and physics.

To understand this concept in simple terms, we can think of special orthogonal matrices as matrices that represent rotations in three-dimensional space. They have special properties, such as having a determinant of 1 and being orthogonal (i.e., their columns and rows are orthogonal unit vectors).

The convex hull of SO(3) consists of all the possible rotations that can be achieved by combining different rotations about different axes. This convex hull forms a solid shape that encloses all the special orthogonal matrices.

In geometric terms, the convex hull of SO(3) can be visualized as a three-dimensional shape resembling a solid ball or sphere. It represents all the possible rotations in three-dimensional space that can be obtained by combining rotations about different axes.

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The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

The null and alternative hypotheses for testing the claim that the majority of college students' cell phone bills are paid by their parents can be stated as follows:

Null hypothesis (H0): The majority of college students' cell phone bills are not paid by their parents.

Alternative hypothesis (Ha): The majority of college students' cell phone bills are paid by their parents.

In this scenario, the null hypothesis assumes that the proportion of college students whose parents pay their cell phone bills is less than 50% (not a majority), while the alternative hypothesis suggests that the proportion is greater than or equal to 50% (a majority). The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

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The probability of exactly two foreclosures is 0.09.

If one loan out of every 136 loans is foreclosed, the probability of a loan being foreclosed is 1/136. Therefore, the probability of a loan not being foreclosed is 135/136.

Since the bank approved 300 loans last month, the number of loans that can be foreclosed ranges from 0 to 300. We can use the binomial probability formula to calculate the probability of exactly 2 foreclosures in 300 loans:

P(X = 2) = (300 choose 2) * (1/136)^2 * (135/136)^298

Using a calculator, we can evaluate this expression to get:

P(X = 2) ≈ 0.091

Therefore, the probability of exactly two foreclosures is 0.09 (rounded to two decimal places).

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A bottle of apple juice in store b is $1.48 higher than store a. You can find it by comparing the price between shop a and shop b.

As per given expression y = 0.96x where y is price in dollar for x bottle in store A. Since Landon buy 14 bottle than:

y = 0.96x

y = 0.96 (14)

Y = 13.44

Then calculate the price difference for a bottle in store b and a as follow

Bottle price difference = $34.16 - $13.44

Bottle price difference = $20.72

Because of the result still for 14 bottle difference, we divide the result with 14 to find out how much more a bottle of apple juice in store b than a as follow

Per bottle price difference = $20.72 : 14

Per bottle price difference = $1.48

Hence, A bottle of apple juice in store b is $1.48 higher than store a.

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Answer:

-7.5 also as -7 1/2

Step-by-step explanation:

Is this what you mean?

i hope it is.

Answer:

the answer is 4.96703296703

Step-by-step explanation:

hope it helps :)

Answer:

4.96703296703

Step-by-step explanation:

Dividing 452 by 91 will give you 4.96703296703.

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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Answer:

23 purple marbles

115 yellow marbles

Step-by-step explanation:

Let y represent the yellow marble

Let p represent the purple marbles

So, we have the equations

y = 5p

Therefore, y + p = 138

5p + p = 138

6p = 138

p = 23 marbles

Now let's put 23 in for the p in the equation to find the number of yellow marbles

y = 5(23)

y = 115 marbles

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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