Create a real life scenario where the following equation could be used.

−90 +30 = −60

The correct answer is (a) there is a 95% chance that the interval (51%, 57%) contains the true percent of American adults who do not think that human beings developed from earlier species.

The margin of error, stated as 3% in the Harris Poll, is associated with a 95% confidence level. This means that in repeated sampling, 95% of the confidence intervals generated would contain the true proportion of American adults who do not believe in human evolution. Therefore, answer (a) is the correct interpretation of the margin of error.

Answer (b) is incorrect because the margin of error does not imply that the poll's estimate will be within 3% of the true proportion in 95% of cases. The margin of error only pertains to the width of the confidence interval, not the individual estimates.

Answer (c) is also incorrect because the margin of error only applies to the specific poll conducted and does not guarantee that the results of a future poll would fall within the same range.

Answer (d) is incorrect because the margin of error does not indicate the probability of the interval being correct. It is associated with the level of confidence, not the probability of correctness.

Answer (e) is incorrect because the margin of error does not ensure that 95% of all possible samples would contain the true proportion. It only provides a measure of uncertainty for the specific sample taken.

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1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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Answer:

the jar of peanut butter is $2.36

Step-by-step explanation:

Answer: $2.36

Step-by-step explanation:

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0,

What is the inflection point?

An inflection point of a function is a point on the graph of the function where the concavity (curvature) of the graph changes. In other words, an inflection point is a point where the curve switches from being concave up to concave down, or vice versa.

The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0, because the concavity of the graph changes at that point. To find the value of b such that the function has at least one inflection point over the interval (1,2), we can set x = 1 and x = 2 in the function and solve for b.

If we set x = 1, we get the equation f(1) = 1 + b + 1 = 0. Solving for b, we find that b = -2.

If we set x = 2, we get the equation f(2) = 16 + 2b + 1 = 0. Solving for b, we find that b = -9.

Since the function has an inflection point at x = 0 for any value of b, it will have at least one inflection point over the interval (1,2) for any value of b.

Therefore, the value of b can be any real number.

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Answer:

24x-6

Step-by-step explanation:

To find the perimeter we have to ads all of our sides to together

8x-3+8x-3+4x+4x

Combine light terms

24x-6

Answer:

it depends on what is z for, if it's for the whole triangle then i would think it would be 2z - 4 10 and 7 added or multiplied. Or it could be 2z -4 witch would be z = 2

Two column proof is a way to portray proofs in geometry.A two column proof always has two columns, one for statement and the other for reason.

The rules of a two column proof are, every statement should be numbered, every statement should have a reason. There is no order for the statements but it is better to maintain logocal order.Reasons for the statements are theories, previously proved theorems that justify the statement.

A,B,C,D are on a line and we have to prove that if AB=CD then AC=BD

Statements                                                  Reasons

1.A,B,C,D are collinear                               1.given

2.AB=CD                                                     2.given

3.BC=BC                                                     3.reflexive

4.AB+BC=BC+CD                                       4.adding 2 and 3

5.AB+BC=AC and BC+CD=BD                  5. Segment addition

6.AC=BD                                                     6.Substitution

Thus it is proved by two column proof that if AB=BC then AC=BD

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Answer:

(a) The system returns to equilibrium when y(t) = 0 at t = 2πk

(b) The turning points of the solution occur when y'(t) = 0 at t = 2πk + π/2

Step-by-step explanation:

To find the particular solution that satisfies the initial conditions of being stretched 1 unit away from equilibrium and given an initial velocity of 10 units/sec, we can solve for the constants c1 and c2.

y(0) = c1 = 1

y'(0) = -c1/2 + (c2/2)i + 5 = 10

c2 = 10i - 6

So the particular solution is y(t) = e^(-t/2) (cos(t/2) + (10i - 6)sin(t/2)).

Since the damping coefficient is proportional to the coefficient of the first derivative in the differential equation, the damping ratio is 1, which means that the system is critically damped, and therefore not damped or oscillatory.

The system returns to equilibrium when y(t) = 0, which occurs when

cos(t/2) + (10i - 6)sin(t/2) = 0.

This equation has roots at t = 2πk, where k is an integer.

The turning points of the solution occur when y'(t) = 0.

Using the expression for y(t) above, we can find that

y'(t) = -e^(-t/2) (sin(t/2) + 5cos(t/2) - 3),

which has roots at t = 2πk + π/2, where k is an integer. The first turning point occurs when k = 0, so t = π/2.

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Answer:

14 = c

Step-by-step explanation:

it is just like u said;

a + b = c

6 + 8 = c = 14

(it could also be 8-6 = c = 2)

Answer:

-18 =x

Step-by-step explanation:

-3/4 = x/24

Using cross products

-3*24 = 4*x

-72 = 4x

Divide each side by 4

-72/4 = 4x/4

-18 =x

Answer:

B. -18

Step-by-step explanation:

solve the proportion using cross multiplication

swap the side

divide both side by 4

Answer:

20hours;

27houses.......................

I believe the answer is -2, 7

Answer:

2,350,000

Step-by-step explanation:

542~500

4681~4700

500×4700

=2,350,00

Answer:

542 rounded to the nearest hundred would be 500

542 rounded to the nearest thousand would be 1000

4,681 rounded to the nearest hundred would be 4,700

4,681 rounded to the nearest thousand would be 5000

the estamated product would be 14550000

The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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The truth value of the given proposition is "false".

The truth value of the given proposition can be evaluated using the following steps:

Convert the binary representation of the numbers to decimal:

0 = 0

~1 = -1 (invert the bits of 1 to get -2 in two's complement representation and add 1)

10 = 2

Apply the comparison operator "=" between the left and right sides of the equation:

(0 = -1) = 2

Evaluate the left side of the equation, which is false, because 0 is not equal to -1.

Evaluate the right side of the equation, which is true, because 2 is a nonzero value.

Apply the comparison operator "=" between the results of step 3 and step 4, which yields:

false = true

Therefore, the truth value of the given proposition is "false".

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As per the linear equation the system has one solution, which is x = 1 and y = 1.

A linear equation is a mathematical expression that represents a straight line. A linear equation has a set of variables, and the coefficients (numbers in front of the variables) are constant.

The reason why most overdetermined linear systems are inconsistent is that there are more restrictions placed on the variables than what is required to find a solution.

It is possible for an overdetermined linear system to have one solution, but this is a rare occurrence.

When an overdetermined system has infinitely many solutions, this means that there are an infinite number of combinations of values that satisfy all of the equations simultaneously.

For example, consider the following system of linear equations:

2x + 3y = 6

4x + 6y = 12

This system is overdetermined because there are two equations and only one variable (x and y). In this case, the system has one solution, which is x = 1 and y = 1.

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The equation of the line that is perpendicular to m and passes through the point (3, 2) is 3x - 2y = 5.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question, we find the slope of line m.

The slope of line m can be found using the slope formula:

slope of m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (3, -7) and (x₂, y₂) = (-3, -3).

slope of m = (-3 - (-7)) / (-3 - 3)

slope of m  = 4 / (-6)

slope of m = -2/3

The negative reciprocal of -2/3 is 3/2.

Hence;

The slope of the line perpendicular to m is 3/2.

Using the point-slope form of the equation of a line, we can write the equation of the line that is perpendicular to m and passes through the point (3, 2):

y - y₁ = m(x - x₁)

where m = 3/2 and (x₁, y₁) = (3, 2).

y - 2 = (3/2)(x - 3)

Multiplying through by 2 to eliminate the fraction:

2y - 4 = 3(x - 3)

2y - 4 = 3x - 9

Rearranging the terms to get the equation in standard form:

3x - 2y = 5

Therefore, the equation of the line in standard form is 3x - 2y = 5.

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Answer:

Step-by-step explanation:

x=5

Answer:

x is 5.

Step-by-step explanation:

X varies directly with y, so we can use the equation x = yk (with k standing for the constant of variation) to find what the constant is. Substitute 3 for x and 15 for y

3 = 15k

Now divide both sides by 15.

3/15 = k

3/15 simplifies to 1/5.

1/5 = k

Now that we know the constant, then what we need to do is find 1/5 of 25 to get x.

1/5(25) = x

Multiply 1/5 by 25 to get 5.

5 = x

The problem is solved.

X will be 5 in this scenario.

The radius of curvature of the lens is = 8cm

The radius of curvature is defined as the radius of the circle that is made by a spherical mirror or lens.

The focal length is defined as the distance between the point of convergence of your lens and the sensor

The refractive index is the measure of bending of a light ray when passing from one medium to another.

The relationship between focal length and radius of curvature is that R=2f

Where R = radius of curvature

f= Focal length

Therefore, radius of curvature = 2×4 =8cm

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Answer:

Step-by-step explanation:

Answer:

u > -3

Step-by-step explanation:

5-8u < 11 - 6u

-2u < 6

u > -3

note: when you're diving by a negative you flip the sign.

Answer:

8.30256

Step-by-step explanation:

Step 1: Write out expression

\(((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4\)

Step 2: Use BPEMDAS to evaluate

\((-1.24573)^{4(3^{\frac{1}{5} })^4\)

\((-1.24573)^{4(1.24573)^4\)

\((-1.24573)^{4(2.40822)\)

\((-1.24573)^{9.6329}\)

= 8.30256

And we have our answer!

Answer:

y=1/6x+5

Step-by-step explanation:

y=mx+b is the slope intercept form

m represents the slope

y=1/6x+b

now we have to find b

plug in y and x

5=0+b

b=5

y=1/6x+5

Answer: %53.333333333333 or 53 1/3

Step-by-step explanation:

Answer:

22.88 or 23

Step-by-step explanation:

2.6 * 8.8 = 22.88, rounded is 23

I hope this helped, please mark Brainliest, thank you!

Answer:

One-fourth(90)

Step-by-step explanation:

One-fourth is closer to 26% and 88 is closer to 90.

Hope this helped