Find UV. This is Geometry. Help

Chebyshev's theorem states that for any distribution, the proportion of observations in any sample or population that lie within k standard deviations of the mean is at least 1 - 1/k². This means that the farther away an observation is from the mean, the less likely it is to occur.

Therefore, Chebyshev's theorem provides a measure of how spread out a distribution is. In contrast, the formula for the coefficient of variation is the standard deviation of the observations divided by their mean. It is a measure of the relative variability of a distribution. When this value is small, it indicates that the distribution is less spread out. In other words, the observations are closer to the mean. Finally, the statement that approximately 68% of all observations fall within one standard deviation of the mean is known as the empirical rule. This rule only applies to distributions that are bell-shaped and symmetrical.

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If 4 - 5i is a zero of a quadratic function with real coefficients, then 4 + 5i is also a zero. The zeros of a quadratic function with real coefficients always occur in conjugate pairs.

In a quadratic function with real coefficients, the complex zeros occur in conjugate pairs due to the nature of the quadratic equation. The quadratic equation can be factored as (x - a)(x - b), where "a" and "b" represent the zeros of the function. If 4 - 5i is one of the zeros, it means that (x - (4 - 5i)) is a factor of the quadratic equation.

By expanding this factor, we get x - 4 + 5i. To ensure the coefficients remain real, the conjugate of 4 - 5i must also be a zero. Therefore, the other zero will be 4 + 5i. This property of complex zeros occurring in conjugate pairs is essential when dealing with quadratic functions with real coefficients.

When a quadratic function with real coefficients has a complex zero of 4 - 5i, it will also have a complex zero of 4 + 5i. This is due to the conjugate pair property, where complex zeros occur in pairs that differ only in the sign of the imaginary part.

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The solution for R2 is:

R2 = (R1*R)/(R1+R)

We can begin by multiplying both sides of the equation by the product of R2 and R1 to eliminate the denominators:

1/R = 1/R1 + 1/R2

Multiplying both sides by R1*R2:

R1R2(1/R) = R1R2(1/R1) + R1R2(1/R2)

Simplifying:

R2 = (R1*R)/((R1+R))

Therefore, the solution for R2 is:

R2 = (R1*R)/(R1+R)

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did you mean 5x-x/y?

if so:

5×4-4/2

=20-2

=18

The area of the triangle is 94.9 square inches

For given question,

We have been given triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches.

Let x be the third side of ΔRST

⇒ 22 + 13 + x = 50

⇒ x = 50 - 35

⇒ x = 15

Let s = sum of three sides of the triangle / 2

s = (22 + 13 + 15)/2

s = 25

Now using the formula for the area of the triangle,

A = √[s × (s-a) × (s-b) × (s-c)]

Let a = 22 inches, b = 13 inches, c = 15 inches

Substituting the values,

⇒ A = √[25 × (25 - 22) × (25 - 13) × (25 - 15)]

⇒ A = √(25 × 3 × 12 × 10)

⇒ A = √9000

⇒ A = 94.9 square inches

Therefore, the area of the triangle is 94.9 square inches

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The area of  triangle rst which have sides 22 inches and 13 inches with perimeter 50 inches is 95 square inches.

We are given that the two sides of the triangle rst are 22 inches and 13 inches respectively. Also perimeter of the triangle rst is 50 inches.

We have to find the area of  triangle to the nearest square inches.

Let the third side of the triangle rst be x.

Hence,

22 + 13 + x = 50 inch

35 + x = 50 inch

x = 50 - 35
x = 15 inches

Hence, the third side of the triangle is 15 inches.

We will use the Heron's formula here to find the area of the triangle.

Heron's formula = \(\sqrt{s(s-a)(s-b)(s-c)}\)
Here,

s = Semi- perimeter

a, b, and c are sides of the triangle.

Hence,

\(s=\frac{50}{2} \\\\s=25 inches\)

a = 22 inches

b = 13 inches

c = 15 inches

Hence,

Area of the triangle rst = \(\sqrt{25(25-22)(25-13)(25-15)}\\\\ \sqrt{25(3)(12)(10)} =\sqrt{5*5*3*3*2*2*5*2}=5*3*2\sqrt{5*2}=30\sqrt{10}\)

We know that,

\(\sqrt{10}\) ≈ 3.162277
Hence,

\(\sqrt{10} * 30\) ≈ 94.86831 ≈ 95 square inches.

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b < 45 represents the inequality of how many books can be put on the shelves.

An inequality is a mathematical statement that shows the relative size or ordering of two values. It is represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), and "≠" (not equal to).

The inequality that represents how many books can be put on the shelves is:

b < 45

This inequality states that the number of books to be shelved, represented by b, must be less than 45 in order to fit on the bookshelf.

The inequality "b > 45" would represent a scenario in which the number of books to be shelved is greater than 45, which is not possible given the constraint that the bookshelf can hold a maximum of 45 books.

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Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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Answer:

f(x) = 8 + x

f(5) = 8 + 5

[What I just did there: I replaced x with 5]

f(5) = 13!

Answer: sorry took look long F(5)= 13

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 11.74\ in.\²}\)

Step-by-step explanation:

Area of Rectangle:

Length = 11.8 in.

Width = 3.6 in.

Area = Length * Width

Area = 11.8 * 3.6

Area = 42.48 in.²

Area of 3 circles:

Diameter = 3.6 in.

Radius = D/2 = 3.6/2 = 1.8 in.

\(\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2\)

Area of 3 circles = 3(10.18) = 30.5 in.²

Area of the figure when the 3 circles are cut:

= Area of the rectangle - Area of 3 circles

= 42.28 - 30.5

= 11.74 in.²

\(\rule[225]{225}{2}\)

Hope this helped!

To determine if the average hospital stays are statistically the same for the three hospitals, a statistical test called ANOVA (Analysis of Variance) can be used. With a significance level of 5%, the null hypothesis is that the means of the three hospital stays are equal, while the alternative hypothesis is that at least one mean is different.

In this scenario, the administrator collects random data for the length of hospital stay from three hospitals in the city. Since the samples were randomly selected and independent, and the populations have normal distribution with equal variances, the conditions for performing an ANOVA test are satisfied.

ANOVA allows for comparing the means of multiple groups simultaneously. By conducting an ANOVA test, the administrator can determine if there are statistically significant differences among the average hospital stays in the three hospitals.

The test will calculate the F-statistic, which is the ratio of the between-group variability to the within-group variability. If the calculated F-statistic exceeds the critical value at the 5% significance level, it indicates that there are significant differences among the means.

If the ANOVA test results in rejecting the null hypothesis, indicating significant differences among the average hospital stays, the administrator can proceed with post-hoc tests to identify which specific hospital means differ from each other.

Overall, by utilizing the ANOVA test with the provided conditions and a significance level of 5%, the hospital administrator can determine if the average hospital stays are statistically the same or if there are significant differences among the three hospitals.

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The sum of\(6.97×10^4\) and \(4.25×10^4\)is equal to\(4.12×10^4.\)

To calculate the sum of 9.45×10^-4 and 6.97×10^4, we need to ensure that the exponents are the same. In this case, we can convert 9.45×10^-4 to scientific notation with the same exponent as 6.97×10^4.

9.45×10^-4 can be written as 0.000945×10^4.

Now, we can add the two numbers:

0.000945×10^4 + 6.97×10^4 = (0.000945 + 6.97)×10^4 = 6.970945×10^4.

Therefore, the sum of 9.45×10^-4 and 6.97×10^4 is 6.970945×10^4.

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Answer:

3 (m-2)-5=8-2 (m-4)

Step-by-step explanation:

please mark me as brainliest.

Answer:

-12

Step-by-step explanation:

Answer:

2550-2500 = 50

25% percent increase.

The scalar k for which u and v are orthogonal is either k = 5 or k = -2.

The scalar k for which the vectors u and v are orthogonal are as follows:

Given vectors are u = [k, k, -2] and v = [-5, k+2, 5].

Then the dot product of u and v must be 0 as they are orthogonal.

Let's find the dot product of u and v:

u.v = k(-5) + k(k+2) + (-2)(5)

u.v = -5k + k² + 2k - 10

u.v = k² - 3k - 10

Now equate the dot product of u and v to 0 and solve for k:

k² - 3k - 10 = 0(k - 5)(k + 2) = 0

Therefore, the scalar k for which u and v are orthogonal is either k = 5 or k = -2.

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Answer: its c

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

3.6=30%    3.6+12=15.6       $15.6

Step-by-step explanation:

I hope this helps! Have a fantastic fri-yay! May I have brainliest!

Answer:

c = 1

Step-by-step explanation:

4c + 16 = 20

subtract 16 from both sides

4c + 16 - 16 = 20 - 16

4c = 4

divide both sides by 4

\(\frac{4}{4}\) c = \(\frac{4}{4}\)

c = 1

The answer is:

Work/explanation:

The equation is \(\sf{4c+16=20}\).

Subtract 16 from each side.

\(\sf{4c=20-16}\)

\(\sf{4c=4}\)

Divide each side by 4.

\(\sf{c=1}\)

The probability that 8 flowers will bloom early out of a row of 35 flowers is 24.19%.

The probability that 8 flowers will bloom early out of a row of 35 flowers can be calculated by multiplying the probability of an individual flower blooming early (24.2%) by the number of flowers in the row (35) and then dividing by the total number of possible outcomes (35). This gives us:
Probability = (24.2% x 35) / 35
Probability = 0.242 x 35 / 35
Probability = 8.47 / 35
Probability = 0.2419
Therefore, the probability that 8 flowers will bloom early out of a row of 35 flowers is 24.19%.

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Answer:

500

Step-by-step explanation:

Hello!

Let the smallest number be x. The next number would be x + 1, then the next would be x + 2, then x + 3.

The sum of these four is 1998.

Solve for x:

The third number is (x + 2), so simply add 2 to 498 = 500

The third number is 500.

All 4 numbers are 498, 499, 500, and 501.

Answer:

75 degrees

Step-by-step explanation:

At 3:30, the hour hand is halfway between the 3 and the 4. The minute hand is exactly on the 6.

There are 360/12 = 30 degrees between each of the marked hours. The angle between the hands covers 2.5 of these gaps, so the angle between the hands is 2.5(30) = 75 degrees.

Hope this helps!

The angle between the hands at 3:30 pm is 90°.

At that time, one hand points at the 3, and the other hand points at the 6.

Now, there is a rule to transform time into angles.

We know that a clock has 12 hours in a full revolution, and a circle has 360° in a complete revolution.

Then we know that:

12 hours = 360°

Then:

1 hour = (360°/12)  = 30°

So each between each number in the clock we have an angle of 30°.

Then, between 3 and 6 (3 hours) we have:

3*30° = 90°

The angle between the hands at 3:30 pm is 90°.

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Answer:

 ∠BFC = 50

Step-by-step explanation:

∠AFC = 90

∠AFB + ∠BFC = 90

40 + ∠BFC = 90

           ∠BFC = 90 - 40

          ∠BFC = 50

Answer: B-C

Step-by-step explanation:

I believe it is the angle of B-C becuase B-E is a strieght line which equals 180. Also EFD looks the same as AFB so it is 40. And DFC is 90 becuase of the square. So we take 180-40-90=50. And the only one that is not solved is B-C

The cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

Based on the information given, we can represent the pure-breeding colors and shapes as follows:

Red color (RR) is dominant over white color (rr)

Long shape (LL) is dominant over round shape (ll)

We can also represent the hybrids as:

Purple color (Rr) is a result of a cross between red and white pure-breeding colors

Oval shape (Ll) is a result of a cross between long and round pure-breeding shapes

Given that we are crossing a red oval (RrLl) with a purple oval (RrLl), we can set up a Punnett square to determine the possible genotypes and phenotypes of their offspring:

RL Rl rL rl

RL RRLl RRll rRLL rRlL

Rl RRLl RRll rRLL rRlL

rL RrLL RrLl rrLL rrLl

rl RrLl Rrll rrLl rrll

From the Punnett square, we can see that there are nine possible phenotypes, which can be grouped by color and shape:

Red long (RRLL, RRLl, RrLL, RrLl): 4/9 or about 44.4% chance

Red oval (RRll, Rrll): 2/9 or about 22.2% chance

Purple long (rRLL, rRlL): 2/9 or about 22.2% chance

Purple oval (rrLL, rrLl, rrll): 1/9 or about 11.1% chance

Therefore, the cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

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To find the equation of a line given its slope and a point, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1). The slope is given as -3 and the point is (10, -5).

Using the point-slope form of a linear equation, we have:

y - (-5) = -3(x - 10)

Simplifying the equation, we get:

y + 5 = -3x + 30

Subtracting 5 from both sides, we have:

y = -3x + 25

Therefore, the equation of the line is y = -3x + 25, and the y-intercept (where the line crosses the y-axis) is 25.

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Answer:

c

Step-by-step explanation:

Answer:

I think it is A not sure though

No Solution.

Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

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Answer:

forth serving will be : 1/24

Step-by-step explanation:

first serving :2/3*1/2= 2/6=1/3

second serving : 1/3*1/2= 1/6

third serving : 1/6 *1/2=1/12

forth serving : 1/12*1/2=1/24

fifth serving = 1/24*1/2=1/48 and so on

Answer:

D

Step-by-step explanation:

If 2 tangents are drawn to a circle from the same external point then they are congruent.

AG and AE are tangents to the circle from the same external point, thus

AG is congruent to AE

AG is congruent to AE. Then the correct option is D.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

If two tangents are drawn to a circle from the same external point then they are congruent.AG and AE are tangents to the circle from the same external point.

Hence, the correct option is D.

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Answer:

Answer will be the 7/3<x>7/3

The probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in boston is 0.4232

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

calculation has been attached in the picture below

the probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in boston is 0.4232

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