i need help with number 19 in geometry asap.

The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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Answer:

see explanation

Step-by-step explanation:

1

the 2 legs of the triangle are congruent then the triangle is isosceles.

the segment from the vertex to the base is a perpendicular bisector, then

x = 6

using Pythagoras' identity in the lower right triangle to calculate the leg, which is the hypotenuse h

h² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )

h = \(\sqrt{100}\) = 10

then

perimeter = 10 + 10 + 6 + 6 = 32

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

2

Δ DFE and Δ HFG are similar by the AA postulate , then corresponding angles are congruent, so

∠ E = ∠ G , that is

6x - 4 = 5x + 4 ( subtract 5x from both sides )

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

x = 8

then

∠ E = 6x - 4 = 6(8) - 4 = 48 - 4 = 44°

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

3

line P bisects XZ , then WX = 5

Δ XYZ is isosceles with XY = ZY

since perimeter = 36 then

XY = (36 - XZ) ÷ 2 = (36 - 10) ÷ 2 = 26 ÷ 2 = 13

using Pythagoras' identity in right triangle WXY

WY² + WX² = XY²

WY² + 5² = 13²

WY² + 25 = 169 ( subtract 25 from both sides )

WY² = 144 ( take square root of both sides )

WY = \(\sqrt{144}\) = 12

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

4

∠ ACB and ∠ BCD are a linear pair and sum to 180°

∠ ACB + 120° = 180° ( subtract 120° from both sides )

∠ ACB = 60°

since AC = BC then Δ ABC is isosceles with base angles congruent

∠ B = ∠ A

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ BCD is an exterior angle of the triangle , so

∠ A + ∠ B = 120° ( since ∠ A = ∠ B ) , then

2 ∠ B = 120° ( divide both sides by 2 )

∠ B = 60°

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

5

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ XYZ is an exterior angle of the triangle , then

15x - 18 = 5x + 2 + 8x + 4

15x - 18 = 13x + 6 ( subtract 13x from both sides )

2x - 18 = 6 ( add 18 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Statement (C) "For X>0, the only solution is the trivial solution y = 0" is NOT correct.

The incorrect statement is (C) "For X>0, the only solution is the trivial solution y = 0."  The given boundary value problem represents a second-order linear differential equation with boundary conditions.

The equation y" + xy = 0 is a special case of the Airy's equation. The boundary conditions y(0) = 0 and y(L) = 0 specify that the solution should satisfy these conditions at x = 0 and x = L.

Statement (C) claims that the only solution for x > 0 is the trivial solution y = 0. However, this is not correct. In fact, for A > 0, where A represents a parameter, there exist nontrivial solutions when the parameter A takes values λ², where λ = 1, 2, 3, and so on.

These nontrivial solutions can be expressed in terms of Airy functions, which are special functions that arise in various areas of physics and mathematics.

Therefore, statement (C) is the incorrect statement, as it incorrectly states that the only solution for x > 0 is the trivial solution y = 0, disregarding the existence of nontrivial solutions for certain values of the parameter A.

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The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.

The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.

If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.

This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.

And is more conservative in its estimation of significance.

If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.

This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.

And is more powerful in detecting significant results in that specific direction.

Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

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We want to choose 6 colors without replacement from a set of 14 distinct colors. We need to determine the number of possible combinations.

To find the number of combinations, we can use the concept of combinations without replacement. The formula for combinations is given by:

C(n, r) = n! / (r!(n - r)!)

Where n represents the total number of items and r represents the number of items to be chosen.

In this case, we have 14 distinct colors and we want to choose 6 colors. Plugging the values into the formula, we get:

C(14, 6) = 14! / (6!(14 - 6)!)

Simplifying the expression:

C(14, 6) = 14! / (6!8!)

Using factorials:

C(14, 6) = (14 * 13 * 12 * 11 * 10 * 9) / (6 * 5 * 4 * 3 * 2 * 1)

Calculating the result:

C(14, 6) = 3003

Therefore, there are 3003 possible combinations of 6 colors that can be chosen from 14 distinct colors without replacement.

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The given argument is invalid. It says that if one person has more gray hair in their beard than another person, then they have a higher percentage of gray hair in their beard.

The argument is invalid because it is possible for one person to have a higher percentage of gray hair in their beard but a lower number of gray hairs in total.One possible counterexample by model is:Suppose Plato has 200 hairs in his beard and 50 of them are gray. So, 1/4 of his hairs are gray. Now, let's suppose Aristotle has 400 hairs in his beard, and 300 of them are gray. So, 3/4 of his hairs are gray. Even though Plato has fewer gray hairs than Aristotle, his percentage of gray hairs is more significant (1/4) than Aristotle's (3/4).

Therefore, the given argument is invalid since Aristotle's beard contains more gray hairs in quantity, but Plato has a higher percentage of gray hair in his beard.

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Answer: the answer would be 75.6 i think, sorry if that's wrong

Step-by-step explanation:

38-9.4=28.6

28.6+47=75.6

Answer: Squares

Step-by-step explanation:

The 2-dimensional shapes that one sees when one looks at the cube is the square. The cube consist of several squares.

It should be noted that the sides of a cube that is, its faces are squares. Also, the edges of the cube are straight lines while the corners which are the vertices are right angles.

Answer:

a) 17.5%

b) $150,000

c) 27°

Step-by-step explanation:

Angles around a point add up to 360°.

Therefore, to find the percentage of the portion of the pie chart, divide the degree of the portion by 360° and multiply by 100%

Assuming that Real Estate is half of the circle, and Mutual Funds are a quarter of the circle.

a)  Government Bonds = (63° ÷ 360°) x 100% = 17.5%

b) Crypto Currency = 90° - 63° = 27°

Therefore, (27° ÷ 360°) x 100% = 7.5%

7.5% of $2,000,000 = 0.075 x $2,000,000 = $150,000

c) Crypto Currency = 90° - 63° = 27°

#a

Find percentage (whole is 360°)

#2

Angle of crypto=180-(90+63)=180-153=27°

Percentage:-

Total

#c

Found in second part

Answer:

(-1, 3)

Step-by-step explanation:

After using the linear equation - The smaller number is 7, and the greater number will be 23.

what is the substitution method?

Mathematicians frequently use the substitution method to resolve an equation system. With this method, you solve the equation for the first variable first, and then plug the answer into the second equation.

what is a linear equation in two variables?

When an equation is written in the form axe + by + c=0 and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero and the greater of the two numbers is four times the smaller number minus 5, that equation is said to be linear in two variables.

Let's assume that "x" is the smaller number, making "4x-5" the greater number. The requirement that the difference between the two numbers be 16 is also included.

thus,

4x - 5 - x = 16
3x -5 = 16
3x = 16 +5
3x =21
x = 21/3
x = 7
for the second number
4x-5
=4(7)-5
=28-5
=23

hence the smaller number is 7, and the greater number will be 23.

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Answer:

300 miles

Step-by-step explanation:

125 ÷ 2.5 = 50 miles per hour

50 x 6 = 300 miles

The integral ∫[-2, 4] |t^2 - 2t - 3| dt evaluates to -35/2. The roots of the integrand are t = 3 and t = -1, and the evaluation is done using the Fundamental Theorem of Calculus.

To evaluate the integral ∫[-2, 4] |t^2 - 2t - 3| dt using the Fundamental Theorem of Calculus, we need to identify the roots of the integrand to remove the absolute values.

Step 1: Find the roots of the integrand:

We have |t^2 - 2t - 3|. To find the roots, we set the expression inside the absolute value bars equal to zero and solve for t:

t^2 - 2t - 3 = 0

To factorize the quadratic equation, we look for two numbers that multiply to -3 and add up to -2. The factors are -3 and +1:

(t - 3)(t + 1) = 0

Setting each factor equal to zero gives us:

t - 3 = 0 --> t = 3

t + 1 = 0 --> t = -1

So, the roots of the integrand are t = 3 and t = -1.

Step 2: Evaluate the integral using the Fundamental Theorem of Calculus, Part 2:

We divide the interval [-2, 4] into three subintervals:

[-2, -1], [-1, 3], and [3, 4].

Within each subinterval, we have different expressions for the integrand:

For the subinterval [-2, -1]:

|t^2 - 2t - 3| = -(t^2 - 2t - 3) = -t^2 + 2t + 3

For the subinterval [-1, 3]:

|t^2 - 2t - 3| = t^2 - 2t - 3

For the subinterval [3, 4]:

|t^2 - 2t - 3| = -(t^2 - 2t - 3) = -t^2 + 2t + 3

Now, we can evaluate each part of the integral using the Fundamental Theorem of Calculus:

∫[-2, -1] -t^2 + 2t + 3 dt:

= [-t^3/3 + t^2 + 3t] from -2 to -1

= [(-(-1)^3/3 + (-1)^2 + 3(-1))] - [(-(-2)^3/3 + (-2)^2 + 3(-2))]

= [1/3 + 1 - 3] - [-8/3 + 4 - 6]

= [-5/3] - [-2/3]

= -5/3 + 2/3

= -3/3

= -1

∫[-1, 3] t^2 - 2t - 3 dt:

= [t^3/3 - t^2/2 - 3t] from -1 to 3

= [(3^3/3 - 3^2/2 - 3(3))] - [(-1^3/3 - (-1)^2/2 - 3(-1))]

= [27/3 - 9/2 - 9] - [-1/3 - 1/2 + 3]

= [9 - 9/2 - 9] - [-1/3 - 1/2 + 3]

= [9 - 18/2 - 18] - [-2/6 - 3/6 + 18/6]

= [9 - 9 - 18] - [13/6]

= -18 - 13/6

= -36/2 - 13/6

= -72/6 - 13/6

= -85/6

∫[3, 4] -t^2 + 2t + 3 dt:

= [-t^3/3 + t^2 + 3t] from 3 to 4

= [-(4^3/3) + 4^2 + 3(4)] - [-(3^3/3) + 3^2 + 3(3)]

= [-64/3 + 16 + 12] - [-27/3 + 9 + 9]

= [-64/3 + 28] - [-9 + 18]

= [-64/3 + 84/3] - [9]

= [20/3] - [9]

= 20/3 - 27/3

= -7/3

Finally, we sum up the results for each subinterval to get the overall integral:

∫[-2, 4] |t^2 - 2t - 3| dt = ∫[-2, -1] -t^2 + 2t + 3 dt + ∫[-1, 3] t^2 - 2t - 3 dt + ∫[3, 4] -t^2 + 2t + 3 dt

= -1 + (-85/6) + (-7/3)

= -1 - (85/6) - (7/3)

= -6/6 - (85/6) - (14/6)

= -(6 + 85 + 14)/6

= -105/6

= -35/2

Therefore, the value of the integral ∫[-2, 4] |t^2 - 2t - 3| dt is -35/2.

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Answer:

x/90=6/100

Hope this helps :)

Answer:

8

Step-by-step explanation:

yº  (in words, 'y to the power zero') is simply 1.  We then have

3yºx+x-y  =  3(1) + 2x - y  =  3 + 2x - y.

Substituting 1 for x and -3 for y, we get the expression value:

3 + 2 - (-3)  =  8

Answer:

Step-by-step explanation:

g = c + x

g - c = x

According to data from the Pew Research Center, there were approximately 10.5 million unauthorized immigrants living in the United States in 2017. This number represents around 25% of the total foreign-born population in the country. In conclusion, out of the 41.3 million foreign-born individuals in the U.S., about 10.5 million are considered unauthorized immigrants.

Unauthorized immigrants, also known as undocumented immigrants, are individuals who enter the United States without legal permission or overstay their visas. They are not eligible for most government benefits and are often subject to deportation if caught.

The Pew Research Center estimates that there were 41.3 million foreign-born individuals living in the United States in 2017, which includes both authorized and unauthorized immigrants. Of this population, around 10.5 million were unauthorized immigrants.

Unauthorized immigration is a complex and contentious issue in the United States, with many different opinions on how to address it. Understanding the size and characteristics of this population is an important part of any discussion or policy debate.

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Answer:

Plot these points

(1,935)

(2,870)

(3,805)

(4,740)

(5,675)

Slope= -65

y intercept = 1000

and what it's saying is that we travel at a speed of 65 units an hour and we start 1000 miles away

Step-by-step explanation:

Just graph these points which you can get by plugging in the numbers

1000-65= 935

(1,935)

1000-65*2=870

(2,870)

1000-65*3= 805

(3,805)

1000-65*4=740

(4,740)

1000-65*5= 675

(5,675)

B:

y= mx+b where m is the slope and B is the y intercept

we can re write the equation as follows

-65x+1000

It's pretty clear that -65 is the slope and 1000 is the y intercept

Step-by-step explanation:

Step 1:

\(3-4(3+2y)+7\)

Step 2:

\( = 3 - 12 - 8y + 7\)

Step 3:

\( = 10 - 12 - 8y\)

Step 4:

\( = -2 - 8y\)

hope it helped you:)

Answer:

160 chemistry books and 80 history books

Step-by-step explanation:

C=chemistry books sold, H=history books sold

C=2H

C+H=240, 3H=240, H=80, C=160

Answer:

27

Step-by-step explanation:

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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Answer:

113.04 in^2

Step-by-step explanation:

6^2×3.14=113.04 in^2

Answer:

113.04

Step-by-step explanation:

3.14 x (6x6) = 113.04

Answer:

y= 16, 64, 256, 1024

y/x= 16/2, 64/3, 256/4, 1024/5,

Step-by-step explanation:

    This is just like any other equation, except instead of x being a number, it is an exponent. For example, when x equals 2, y equals 16 because y always equals four to the power of x.  This applies to all of the parts in your table. when x equals 3, y equals 4^3 (4 times 4 times 4) which is 64, and when x equals 4, y equals 4^4 (4 times 4 times 4 times 4), which is 256.

    For the y over x part that is just the value y, divided by the value x. For the first line on the table x equals 2, and we know y equals 16 (4^2 is 4 times 4, which is 16) so 16 divided by 2 is 8. That is the answer.

Hope this helps :)

This is approximately 0.283 hours, or 17 minutes. Therefore, it will take the boat approximately 17 minutes to cross the river.

The key to solving this problem is to understand the concept of relative velocity. In this case, the boat's speed relative to the water is 5 km/hr, and the water's speed relative to the shore is also 5 km/hr. Therefore, the boat's speed relative to the shore is the vector sum of these two velocities, which is 0 km/hr. This means that the boat will not make any progress toward the other side of the river unless it angles its course slightly upstream.
To determine the angle required, we need to use trigonometry. Let θ be the angle the boat makes with the direction perpendicular to the river. Then sin θ = 5/5 = 1, so θ = 45 degrees. This means that the boat needs to head upstream at a 45-degree angle to make progress across the river.
Now we can use the Pythagorean theorem to find the distance the boat travels:
d = √(1² + 1²) = √(2) km
Since the boat's speed relative to the shore is 0 km/hr, the time required for the crossing is simply the distance divided by the boat's speed relative to the water:
t = d / 5 = √(2) / 5 hours
This is approximately 0.283 hours or 17 minutes. Therefore, it will take the boat approximately 17 minutes to cross the river.

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Answer:

The answer is -3<x≤2

Answer:

-1078

Step-by-step explanation:

To find the nth term in an arithmetic sequence we use the following formula

aₙ=a₁+(n-1)*d

Where a₁ is the first time, and d is the common difference (in this case -20)

So we have

2+(55-1)*-20

2+(54)*-20

2-1080

-1078

Answer:

28

Step-by-step explanation:

\(7+7+7+7 = 14+7+7 = 21+7 = 28\)

O sino:

\(7*4 = 28\)