in a random sample of 400 registered voters, 120 indicated they plan to vote for trump for president. determine a 95% confidence interval for the proportion of all the registered voters who will vote for trump. a. (0.25, 0.34) b. (0.29, 0.30) c. (0.27, 0.32) d. cannot be determined from the information given.

Answer:

5

Step-by-step explanation:

use formula a^2+b^2=c^2

so 4^2+3^2=25

then we square root 25 to get the length

square root of 25 equals 5

so the length is 5

hope this helps!

Explanation:

f(x) = (x+5)^2 = x^2+10x+25 = x^2+10x^1+25x^0

The exponents for that last expression are 2, 1, 0

The mix of even and odd exponents in the standard form means f(x) is neither even nor odd. We would need to have all exponents even to have f(x) even, or have all exponents odd to have f(x) be odd.

Answer:

Yes, actually I have five/5

Step-by-step explanation:

1 - If ABCD is a cyclic quadrilateral, then show that cos A + cos B + cos C + cos D = 0.

2 -  Show that, cos^2A + cos^2 (120° - A) + cos^2 (120° + A) = 3/2

3 -  If A, B, and C are angles of a triangle, then prove that tan A/2 = cot (B + C)/2

4 - If tan x - tan y = m and cot y - cot x = n, prove that, 1 /m + 1/n = cot (x - y).

5 - If tan β = sin α cos α/(2 + cos^2 α) prove that 3 tan (α - β) = 2 tan α.

Hope this helped!

Answer:

equilateral triangle

The solution to given inequality 12 > w + 3 is w < 9

In this question, we have been given an inequality 12 > w + 3

We need to solve the inequality for w.

Consider given inequality,

12 > w + 3                              ............(Given)

12 - 3 > w + 3 - 3                    ...........(Subtract 3 from each side)

9 > w

This means, w is less than 9.

Therefore, the solution to given inequality 12 > w + 3 is w < 9

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The probability of seeing exactly 5 hearts out of 10 cards is\((13/52)^5 × (39/52)^5.\)

The probability of seeing exactly 5 hearts out of 10 cards can be calculated as follows: The total number of cards in a deck is 52. The number of hearts in a deck is 13. Since no card has been removed from the deck, the probability of seeing a heart is 13/52. The probability of seeing a non-heart is 39/52. Since we are looking at 10 cards, the probability of seeing exactly 5 hearts,

p(h)= 13/52

p(nh) = 39/52

hence, \((13/52)^5 × (39/52)^5\)

This means that the probability of seeing exactly 5 hearts out of 10 cards is \((13/52)^5 × (39/52)^5.\)

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Answer: C

Step-by-step explanation:

For a relation to be a function, each x-value can only have one corresponding y-value and would, in turn, pass the vertical line test, a way to determine in a graph is a function. Since set C features the points (5, 4) and (5,7), an x-value with two corresponding y-values, this set of ordered pairs does not represent a function.

Answer:

B, 1/5

Step-by-step explanation:

Because 2/5 + 2/5 = 4/5 so 5/5 - 4/5 = 1/5 so the answer would be 1/5

a. The resultant magnetic field at point P due to currents in the two wires can be determined by vector addition of the individual magnetic fields.

b. Reversing the direction of currents in both wires would result in a reversed direction of the resultant magnetic field at point P.

a. To construct the vector diagram showing the direction of the resultant magnetic field at point P due to currents in the two wires, we can use the right-hand rule for determining the magnetic field direction around a wire carrying current.

For Wire 1, which has the current coming towards us (out of the plane of the paper), the magnetic field direction can be determined by wrapping the right-hand fingers around the wire in the direction of the current, and the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 1 is from left to right.

For Wire 2, which has the current going into the plane of the paper, we apply the right-hand rule again. Wrapping the right-hand fingers around the wire in the direction opposite to the current, the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 2 is from right to left.

At point P, which is equidistant from the two wires, the magnetic fields due to the currents in the wires will combine. The resultant magnetic field direction at point P can be found by vector addition. Drawing the vectors representing the magnetic fields for Wire 1 and Wire 2, with opposite directions, we can add them head-to-tail. The resultant vector will show the direction of the resultant magnetic field at point P.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), the directions of the magnetic fields due to the currents in the wires would be reversed compared to the previous case.

For Wire 1, the magnetic field direction would be from right to left, and for Wire 2, it would be from left to right. Following the same process as in part a, we would draw the vectors representing the magnetic fields for Wire 1 and Wire 2 in their respective reversed directions. Adding them head-to-tail would give us the resultant vector indicating the direction of the resultant magnetic field at point P in this scenario.

Complete Question:

Two wires lie perpendicular to the plane of the paper, and equal electric currents pass through the paper in the directions shown. Point P is equidistant from the two wires.

a. Construct a vector diagram showing the direction of the resultant magnetic field at point P due to currents in these two wires. Explain your reasoning.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), show the resultant magnetic field at point P.

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Since the bond is a discount bond, it's only payment is the repayment of the par value at maturity, i.e., in one year.Yield to maturity = 25%

Yield to maturity (YTM) is the total rate of return a bond will have achieved after all interest payments and principal repayments have been made.

In essence, YTM represents the internal rate of return (IRR) on a bond if held to maturity.It can be difficult to calculate yield to maturity because it makes the assumption that the bond's rate of return is applicable to all interest and coupon payments.

800 = \(\frac{1000} {1 + \:\:yield \:\:to \:maturity}\)

1 + Yield to maturity = 1.25

Yield to maturity = 25%

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Answer:

—8, —5, —2, 1, 4

Step-by-step explanation:

Check out the attached photo

To find the derivative of f(x) at x = 1, we can use the formula for implicit differentiation:

d/dx[f(x) + x^2[f(x)]^5] = 0

d/dx[f(1) + 1^2[f(1)]^5] = 0

d/dx[2 + 1[2]^5] = 0

d/dx[2 + 1[2]^5] = 0

d/dx[2 + 32] = 0

0 + 32 = 0

Therefore, the derivative of f(x) at x = 1 is 32.

To find the equation of the tangent line to the curve at the given point (pi/2, pi/4), we can use the formula for the slope of a tangent line:

m = f'(x) = d/dx[y sin 12x] / d/dx[x cos 2y]

m = d/dx[pi/4 sin 12(pi/2)] / d/dx[pi/2 cos 2(pi/4)]

m = d/dx[pi/4 sin 6pi] / d/dx[pi/2 cos pi/2]

m = 0 / 0

Since the derivative of the numerator is 0 and the derivative of the denominator is 0, the slope of the tangent line is undefined. This means that the tangent line is vertical and parallel to the y-axis.

The equation of the tangent line at the given point is therefore of the form:

x = c

where c is the x-coordinate of the given point, which is pi/2. Therefore, the equation of the tangent line is:

x = pi/2

Note that this is just the equation of a vertical line with an x-intercept at pi/2.

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Answer:

YOU DO IT X 2

Step-by-step explanation:

Answer:

69.6666........

Step-by-step explanation:

You add all the numbers together and then divide it by 6, because there are 6 numbers.

After solving the linear inequality, the number can have any value less than or equal to 12 (x ≤ 12). So the maximum possible value of the number is 12.

Let's suppose the number be "x".

From the given statement, we can write the following inequality:

2x ≤ 24

To solve for x, we can divide both sides by 2:

x ≤ 12

Therefore, the number "x" is at most 12. The exact value of "x" could not be found out. As it could be any number less than or equal to 12 that satisfies the inequality.

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The complete question is :

If twice a number is at most 24, find the number.

The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

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The constant of proportionality is 1/3, and the equation is y = (1/3)x represents the relationship.

The value of the proportionality constant is determined by the type of proportion between the two specified values.

Proportional relationships are written in the form y = kx

where k is the constant of proportionality.

As per the given table, the constant of proportionality will be

k = (1 - 2/3)/(3-2)

k = (1/3)/1

k = 1/3

So, the equation is y = (1/3)x.

Thus, the constant of proportionality is 1/3, and the equation is y = (1/3)x represents the relationship.

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The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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Distance from Breadth of one side of the wall = L/3 units

Distance from one corner i.e from Breadth = L - L/3 - L/6 = L/2

Distance from floor i.e surface = H/6 units

Distance from Ceiling= H - H/6 = 5H/6 units

Considering the room to be in the shape of a Cuboid as well as the Bed to be in the shape of a Cuboid.

Dimensions of Room:

In mathematics, space is the only light without elements; its magnitude or cardinality (number of elements in the set) is zero.

Let the Length of the cuboid which is in the shape of a room = L

The breadth of the cuboid which is in the shape of a room = B

Height of cuboid which is in the shape of a room = H

Considering, L>B>H

Dimension of Bed

Length = L/6 units

Breadth = B/4 units

Height = H/6 units

Taking one corner at origin i.e (0,0,0)

You can keep your bed at any place inside the room, but you want your bed to be at that place inside the room where the window is located so that proper ventilation and sunlight can enter your room.

Taking the bed to be in the middle of the room near the window and considering its upper face

Distance from one corner i.e from length= B- B/4 = 3B/4 Units

Distance from other corner =  0 Units

Distance from Breadth of one side of the wall = L/3 units

Distance from one corner i.e. from Breadth = L - L/3 - L/6 = L/2

Distance from floor i.e. surface = H/6 units

Distance from Ceiling= H - H/6 = 5H/6 units

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1. This is a ratio question in disguise.

By parts of the question: "When y varies directly with x" -> y/x

"if y=8 when x=4" -> y/x = 8/4

"how do you find y when x=5" -> y/x = 8/4 = y/5

so  -y  = 8x5/4 = 10

That's all i got..

The term that refers to the arithmetic average of a series of numbers is c. mean. It is calculated by summing up all the values in a data set and dividing the sum by the total number of values.

In statistics, the mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by summing up all the values in the data set and dividing the sum by the total number of values. The mean provides a representation of the typical or average value in the data set.

Option a, mode, refers to the value or values that appear most frequently in a data set.

Option b, median, is the middle value in a sorted list of numbers. It separates the higher half from the lower half of the data set.

Option d, range, represents the difference between the maximum and minimum values in a data set, providing a measure of dispersion.

Therefore, the correct term that corresponds to the arithmetic average of a series of numbers is c. mean.

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Answer:

its  5y−30

         2

Step-by-step explanation:

Because lets put this problem in slope form. The form is Y=mx+b

ok now lets put it with the number Y=2/5+6

Answer:

G. 9/24

the answer is unsimplified so It looks greater

Answer:

[See Below]

Step-by-step explanation:

✦ Use PEMDAS to solve \(8+2*(6-1)\):

A) So this would make Nadden Correct.

B) Abram didn't use PEMDAS to solve, so he got 50 instead of 18.

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

a. To simplify the integral ∫[(4x²-2)^(3/2)] dx, we can make the trigonometric substitution x = (sqrt(2/4))sec(t).

Let's solve for dx in terms of dt:

x = (sqrt(2/4))sec(t),

dx = (sqrt(2/4))sec(t)tan(t) dt.

Substituting these expressions into the integral, we have:

∫[(4x²-2)^(3/2)] dx = ∫(4(sqrt(2/4))sec(t)²-2)^(3/2)sec(t)tan(t) dt.

Simplifying the expression inside the integral:

(4(sqrt(2/4))sec(t)²-2) = 4(2/4)sec(t)² - 2 = 2sec(t)² - 2 = 2(tan²(t) + 1) - 2 = 2tan²(t).

Now, we can rewrite the integral as:

∫2tan²(t)sec(t)tan(t) dt.

Simplifying further:

∫2tan³(t)sec(t) dt = ∫(sqrt(2)tan³(t)sec(t)) dt.

At this point, we can use a trigonometric identity: tan³(t)sec(t) = sin(t).

Therefore, the integral becomes:

∫(sqrt(2)sin(t)) dt.

This integral is now simpler to evaluate. Once you find the antiderivative, you can convert back to the original variable x.

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Answer:

0.804

Step-by-step explanation:

First, we can express 0.1 as 0.100 for easier subtraction.

Then, we can subtract 0.100 from 0.904.

0.904 - 0.100 = 0.804.

Note: You can use the traditional subtracting method to get the answer too.

program in 'C' language to solve the boundary value problem

#include <stdio.h>

#include <math.h>

#define F(X,Y,Z) (X*Z+2*Y) // Function

#define H 0.25 // Step size

void main() {

 float x, y, z, k1, k2, k3, k4;

 int i;

 x = 0;

 y = 1;

 z = 0.45; // Assume value of y'(0)

 do {

   printf("x=%f, y=%f, z=%f\n", x, y, z);

   k1 = z;

   k2 = z + H * k1 / 2.0;

   k3 = z + H * k2 / 2.0;

   k4 = z + H * k3;

   z += (k1 + 2 * k2 + 2 * k3 + k4) / 6.0;

   k1 = F(x, y, z);

   k2 = F(x + H / 2.0, y + H * k1 / 2.0, z + H * k1 / 2.0);

   k3 = F(x + H / 2.0, y + H * k2 / 2.0, z + H * k2 / 2.0);

   k4 = F(x + H, y + H * k3, z + H * k3);

   y += (k1 + 2 * k2 + 2 * k3 + k4) / 6.0;

   x += H;

 } while (x <= 1.0);

 printf("x=%f, y=%f\n", x, y);

 if (fabs(y - 1.271) <= 150)

   printf("Error is within the given limit.");

 else

   printf("Error is not within the given limit.");

}

You can compile and run the above program using any C compiler of your choice.

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We would need to move 8 units along the y-axis to be lined up across from point D.

In an ordered pair (x, y), x represents the coordinate along the horizontal x-axis, and y represents the coordinate along the vertical y-axis. The origin is located at (0, 0), where both coordinates are equal to zero.

In this case, to determine how many units to move along the y-axis to be lined up across from point D, we need to know the y-coordinate of point D. If the coordinates of point D are given, we simply need to take the absolute value of the difference between the y-coordinate of the origin (which is 0) and the y-coordinate of point D.

For example, if the coordinates of point D are (5, 8), we would need to move 8 units along the y-axis to be lined up across from point D. The calculation would be:

|0 - 8| = 8

So, we would need to move 8 units along the y-axis to be lined up across from point D.

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Answer:

sin20°

Step-by-step explanation:

Using the cofunction identity

cosx = sin(90 - x) , thus

cos70° = sin(90 - 70)° = sin20°