Which functions is nonlinear

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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Answer:

Here you go!

Step-by-step explanation:

Answer:

If circles A and B are congruent, then AC, CD, DB, and BA are all congruent since they are all radii. We then have:

ACDB is a rhombus.

ADB is an equilateral triangle.

CD is perpendicular to AB.

CD bisects AB.

The ordered pairs of Nicole and Ian's sequence pattern are:(5,1),(17,3),(53,5),(161,10),(485,20).

Given that Nicole uses the  rule multiply by 3 then add 2 starting with it and Ian uses the rule add 1/2 then multiply by 2 starting from 0,

We ar rquired to find the ordered pairs of Nicole's and Ian's rules.

We are told that Nicole's pattern is multiply by 3 then add 2 starting with 1.

Thus Nicole's pattern is :5,17,53,161,485.

Ian's pattern is add 1/2 then multiply by 2 and starting with 0.Thus the  numbers are :1,3,5,10,20.

If we combine the numbers of both the person'rule then we will get the ordered pairs which can be written as under:

The ordered pairs are (5,1),(17,3),(53,5),(161,10),(485,20).

Hence the ordered pairs are (5,1),(17,3),(53,5),(161,10),(485,20).

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The largest value among F(0), F(3), F(6), F(9), and F(12) depends on the function f(t) and cannot be determined without additional information.

To find the largest value among F(0), F(3), F(6), F(9), and F(12), we need to evaluate the function f(x) = ∫\(x^6\) f(t) dt for each given value of x.

The given function represents the indefinite integral of f(t) with respect to t, where f(t) is the function whose graph is given.

The integral represents the area under the curve of f(t) from 0 to \(x^6\). By evaluating the integral at different values of x, we can find the corresponding values of F(x).

Since the function f(t) is not specified, we cannot determine the exact values of F(0), F(3), F(6), F(9), and F(12) without additional information.

The values of F(x) depend on the specific form and properties of f(t).

To find the largest value among F(0), F(3), F(6), F(9), and F(12), we would need to know the function f(t) and evaluate the integral at each specific value of x.

Without further information, it is not possible to determine which of the given values is the largest.

In summary, the largest value among F(0), F(3), F(6), F(9), and F(12) depends on the function f(t) and cannot be determined without additional information.

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Answer:

m = 7, -8

Step-by-step explanation:

√(56-m) = m

To remove the radical on the left side of the equation, square both sides of the equation.

\(\sqrt{(56-m)}\)² = m²

Simplify each side of the equation.

56 - m = m²

Now we solve for m

56 - m = m²

56 - m - m² = 0

We factor

- (m - 7) (m + 8) = 0

m - 7 = 0

m = 7

m + 8 = 0

m = -8

So, the answer is m = 7, -8

Answer:

√(56 - m) = m

Square both sides to clear the radical.

56 - m = m²

Add m to both sides, then subtract 56 from both sides.

m² + m - 56 = 0

Factor this quadratic equation.

(m - 7)(m + 8) = 0

Set each factor equal to zero, and solve for m.

m - 7 = 0 or m + 8 = 0

m = 7 or m = -8

Check each possible solution.

√(56 - 7) = 7--->√49 = 7 (true)

√(56 - (-8)) = -8--->√64 = -8 (false)

-8 is an extraneous solution, so the only solution of the given equation is 7.

m = 7

Answer:

It is y = -| x + 4 |

Answer:

UT + CV = 4x + 33

Step-by-step explanation:

Given:

TW = 14

WU = 2x + 2

VW = 2x + 5

WC = 12

Find:

UT + CV

Computation:

UT = TW + WU  

UT = 14 + 2x + 2 = 16 + 2x

CV = VW + WC

CV = 2x + 5 + 12 = 2x + 17

UT + CV

16 + 2x + 2x + 17

UT + CV = 4x + 33

The cost per pound of coffee if three pounds of coffee costs $22. 56 is $7.52.

This is a basic division problem. Division is one of the four basic mathematic operations : addition, subtraction, multiplication and division.

Here the cost of an item implies the amount of money required to purchase that item.

Here it is given that three pounds of coffee cost $22.56, therefore one pound of coffee cost is obtained by dividing the cost of three pounds o coffee by the amount of coffee, that is 3.

Cost per pound of coffee = $22.56/ 3

= $7.52

Thus one pound of coffee costs 7 dollars and 52 cents.

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Answer:

A

Step-by-step explanation:

Here, we are to select which of the options best answer the question. The correct answer here is that the product of the slopes of the two lines is -1.

When we talk about perpendicular lines, these are lines that are at an angle of 90 degrees to each other.

These lines have slopes of which their product is -1. What this means is that one of the slopes is a negative reciprocal of the other. By multiplying these two slopes together, we get -1.

Say we have two perpendicular lines with slopes m1 and m2 respectively, the product of both slopes is equal to -1.

Mathematically in this case;

m1 * m2 = -1

Answer:

the slopes have a product of -1

Step-by-step explanation:

i got it right and i just took the test on gradpoint

good luck!!

The given series, 2, 1, 3, 2, 4, is not alternating series with given partial sum.

A series in which the terms' signs alternate between positive and negative is known as an alternating series. The signs of the words in the given series—2, 1, 3, 2, 4—do not rotate regularly. The signs change between the first two phrases (2 and 1), but they do not change between the following terms. The alternating pattern is broken by the third term, 3, which is positive. As a result, the described series does not satisfy the requirements of an alternating series with given partial sum.

Let's examine the signs of the terms in the series to further demonstrate this. The initial term, 2, is favourable. The next term, 1, is unfavourable. Until now, the indicators have changed. The third term, 3, on the other hand, is positive, breaking the alternating pattern. The third term does not alternate with the fourth term, 2, which is positive once more. In line with the fourth term, the fifth term, 4, is also good. Because the series' sign alternation is inconsistent, it cannot be considered an alternating series.

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Complete Question: You are given the first five partial sums of a series' values in problem 1. Is the series a recurring one? Why not, then?

2,1,3,2,4

Answer:

B

Step-by-step explanation:

1 yard and 1 foot = 1 1/2

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The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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Answer:

B. 48

Step-by-step explanation:

plug in the value of h into the expression and simplify from there

Answer: Where is the picture

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Answer :c

step by step explanation:

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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Using mathematical operations we know that the average amount spent per person in September is $30.19.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).

So, calculate the average as follows:

6400/100 * 19 = 1,216

Then,

September = 1,216+6400 = 7,616

43200/100 * 15 = 6,480

Then,

September = 43200 - 6,480 = $36,720

Then, the average amount spent per person:

36,720/1,216 = 30.19

Therefore, using mathematical operations we know that the average amount spent per person in September is $30.19.

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Answer:

\(\huge\boxed{\sf 63}\)

Step-by-step explanation:

\(= x^2+10x + 24\)

Put x = 3

= (3)² + 10(3) + 24

= 9 + 30 + 24

= 63

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

Answer:

Option D) 63 is the correct answer.

Step-by-step explanation:

where :

\( \quad\sf{\dashrightarrow{{x}^{2} + 10x + 24}}\)

Substituting the value of x :

\( \quad\sf{\dashrightarrow{{(3)}^{2} + 10 \times 3 + 24}}\)

\( \quad\sf{\dashrightarrow{(3 \times 3) + 30 + 24}}\)

\( \quad\sf{\dashrightarrow{(9) + 54}}\)

\( \quad\sf{\dashrightarrow{9 + 54}}\)

\( \quad\sf{\dashrightarrow{63}}\)

\(\quad{\star{\underline{\boxed{\sf{\pink{63}}}}}}\)

Hence, the answer is 63.

Answer:

4x - 90= 90

Explain:

Simplifying

(4x + -90) = 90

Reorder the terms:

(-90 + 4x) = 90

Remove parenthesis around (-90 + 4x)

-90 + 4x = 90

Solving

-90 + 4x = 90

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '90' to each side of the equation.

-90 + 90 + 4x = 90 + 90

Combine like terms: -90 + 90 = 0

0 + 4x = 90 + 90

4x = 90 + 90

Combine like terms: 90 + 90 = 180

4x = 180

Divide each side by '4'.

x = 45

Simplifying

x = 45

Answer:

77.14

Step-by-step explanation:

To find the mean(average) we add all the values and divide the sum by the number of values. Here, we are given 7 total values.

The sum of these values = 79 + 83 + 54 + 77 + 98 + 61 + 88 = 540

Because there are 7 total values we divide the sum by 7 to get the mean

So mean = 540 / 7 = 77.14 (rounded to two decimal places)

No, we cannot measure 3 gallons of water using 2 jugs of size 100 and 98 gallons. But, we can measure 4 gallons of water using these jugs.

Let's call the two jugs A and B, with A being the 100-gallon jug and B being the 98-gallon jug.

To measure 3 gallons of water, we need to have one jug that is smaller than 3 gallons and another jug that is larger than 3 gallons.

However, both of these jugs are larger than 3 gallons.

This means that it is impossible to measure 3 gallons of water using these jugs.

To measure 4 gallons of water, we can follow these steps:

Fill jug A to the top with water.

Pour the water from jug A into jug B until jug B is full.

This will leave 2 gallons of water in jug A.

Pour the water from jug B down the drain, then pour the 2 gallons from jug A into jug B.

Fill jug A to the top with water.

Pour the water from jug A into jug B until jug B is full.

This will leave 96 gallons of water in jug B, with 4 gallons of water in jug A.

Thus, we can measure 4 gallons of water using these jugs.

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Deon's Coffee Shop used 26 pounds of type A coffee.

Let's consider Deon's Coffee Shop, which used "a" pounds of type A coffee and "4a" pounds of type B coffee. The total cost of the blend is $578.50, so we can equate the total cost of the type A and type B coffee to that amount. This leads us to the following equation: 5.45a + 4.20(4a) = 578.50.

To solve the equation, we simplify it: 5.45a + 16.80a = 578.50. Combining like terms, we get 22.25a = 578.50.

To find the value of "a," we divide both sides of the equation by 22.25. Therefore, a = 26. Hence, Deon's Coffee Shop used 26 pounds of type A coffee.

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The results of given question's parts based on hypothesis testing.

a) Null and Alternative hypothesis

H₀ : p = 0.8

H₀ : p = 0.8 Hₐ : p < 0.8

b) test statistic (z value ) is Z = -2.25.

c) P- value ( Z꜀ ) is - 1.64

d) Rejected the null hypothesis.

We have given that

Sample size, n = 900

Hypothesis population proportion, p₀ = 0.80

Sample proportion , p-hat = 0.77

favourable cases, X = 693

significance level, α = 0.05

a) The following null and alternative hypothesis for population proportion needs to be tested :

H₀ : p = 0.8

Hₐ : p < 0.8

This is corresponding to a left tailed test for a z test for one population will used .

c) we have given that, Significance level is α=0.05 and the critical value for a left tailed test is Z꜀ = - 1.64

so, the rejection region for left tailed test R = { Z Z<- 1.64 }

b) Z- statistic value :

Z = (p-hat - p₀)/√p₀(1-p₀)/n

=> Z = ( 0.77 - 0.8 )/√0.8×0.2/900

=> Z = -2.25

d) Decision about Null hypothesis,

Since, it is observed that Z = - 2.25 < Z꜀ = - 1.645 it is then concluded that the null hypothesis is rejected. Reject the null hypothesis. There is not enough evidence to conclude that the percentage of infants who receive immunization s is less than 80%.

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The result is number \(r\) where:

\(r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}\)

Hope this helps.

Answer:

160

Step-by-step explanation:

If the scale factor is 4, we would have to multiply the height and width by 4

4*5=20

4*4=16

Now to find the area of the triangle using the formula (20*16)/2

That equals to 160

Answer:

See below.

Step-by-step explanation:

Perimeter:  use the Distance Formula  \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance from (-3, 4) to (4, 5) is

\(\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}\)

Distance from (4, 5) to (2, -3) is

\(\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}\)

Distance from (2, -3) to (-4, 4) is

\(\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}\)

Distance from (-4, 4) to (-3, 4) is

\(\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}\)

The perimeter is the sum of all these distances.

Area:

To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle.  See the attached figure.

The surrounding rectangle has area 8 x 9 = 72 square units.

The unwanted areas (green rectangles and four triangles).  Remember, the area of a triangle is (1/2)(length)(width).

Rectangle A:  1 x 1 = 1 square unit

Triangle B: (1/2)(7)(1) = 3.5 square units

Triangle C: (1/2)(8)(1) = 4 square units

Triangle D: (1/2)(8)(2) = 8 square units

Triangle E: (1/2)(6)(1) = 3 square units

Rectangle F: 2 x 1 = 2 square units

Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units

Subtract this total from the surrounding rectangle's area to get

72 - 21.5 = 50.5 square units

Answer:

Step-by-step explanation:

x   - first number

2x   - twice the first number

twice the first number exceeds the second number by 4 so:

2x-4   -the second number

y - the third number

the second number is equal to the sum of the first and third numbers:

2x-4 = x + y

x + y = 2x - 4

  -x        -x

y = x - 4       - the third number

the sum of three numbers:

x + 2x-4 + x-4 = 4x - 8

The sum of three numbers is 12 so:

4x - 8 = 12

   +8       +8

  4x = 20

  ÷4    ÷4

   x = 5

2x-4 = 2•5 - 4 = 6

x-4 = 5 - 4 = 1

Check:

5+1 = 6

2•5 = 10,  10-4 = 6

Answer:

Cada bombón negro cuesta $3,125 y cada bombón blanco cuesta $6,75

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones. Es decir, resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

Si compro 2 bombones de chocolate negro y 5 de chocolate blanco, la suma da $40. Si compro 4 bombones de chocolate negro y 2 de chocolate blanco, gasto $26. Siendo:

Entonces el sistema de ecuaciones a resolver es:

\(\left \{ {{2*x+5*y=40} \atop {4*x+2*y=26}} \right.\)

El método de sustitución consiste en aislar en una ecuación una de las dos incógnitas para sustituirla en la otra ecuación.

Entonces, aislando la variable x de la primer ecuación:

\(x=\frac{40-5*y}{2}\)

Sustituyendo en la segunda ecuación:

\(4*\frac{40-5*y}{2}+2*y=26\)

Resolviendo:

\(\frac{4}{2}* (40-5*y)+2*y=26\)

2* (40-5*y)+2*y=26

2*40- 2*5*y+2*y=26

80- 10*y+2*y=26

- 10*y+2*y=26 -80

-8*y= -54

y= (-54)÷ (-8)

y= 6,75

Reemplazando en la expresión \(x=\frac{40-5*y}{2}\), se obtiene:

\(x=\frac{40-5*6,75}{2}\)

\(x=\frac{40-33,75}{2}\)

\(x=\frac{6,25}{2}\)

x= 3,125

Entonces, cada bombón negro cuesta $3,125 y cada bombón blanco cuesta $6,75

This question is based on system of equations.The system of equations that is  used to determine the number of bracelets made and the number of necklaces made is  x + y = 16  and  6x + 24y = 258

The amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 24 grams. The jeweler made a total of 16bracelets and necklaces using 258 grams of gold.

According to the question,

Let x represent the number of bracelets  and  y represent the number of necklaces that the jeweler made.

The jeweler made a total of 16 bracelets. This means that

⇒ x + y = 16

It is given that, the amount of gold in each bracelet is 6 grams and  in each necklace is 24 grams. The jeweler made a total of 16bracelets and necklaces using 258 grams of gold. This means that,

⇒ 6x + 24y = 258

Therefore, the system of equations that is  used to determine the number of bracelets made and the number of necklaces made is

x + y = 16 and  6x + 24y = 258

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