Which graph shows a set of ordered pairs that represent a function?

Answer: They are inverses of each other

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Explanation:

We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.

[tex]h(x) = 9x-4\\\\h(f(x)) = 9(f(x))-4\\\\h(f(x)) = 9\left(\frac{x+4}{9}\right)-4\\\\h(f(x)) = x+4-4\\\\h(f(x)) = x\\\\[/tex]

and,

[tex]f(x) = \frac{x+4}{9}\\\\f(h(x)) = \frac{h(x)+4}{9}\\\\f(h(x)) = \frac{9x-4+4}{9}\\\\f(h(x)) = \frac{9x}{9}\\\\f(h(x)) = x\\\\[/tex]

Both composite functions lead to x each time.

The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

For this problem, we consider that we want it to be within 4%.

Item a:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is [tex]\pi = 0.96[/tex], hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2[/tex]

[tex]n = 92.2[/tex]

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to [tex]\pi = 0.5[/tex], the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

Answer:

g(x) = 1/4 f(x)

Step-by-step explanation:

(x,y) -> (x , 1/4 y)  .. vertical compression

If Selena ran x miles and manny ran y miles, who ran more miles

x=any number

y=any number smaller than x

Answer:

2.05

Step-by-step explanation:

12.71/6.2=2.05

The value of the expression 12.71 ÷ 6.2 using the division property will be 2.05.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

12.71 and 6.2

Then the division of the decimal numbers 12.71 and 6.2 will be given by putting a divide sign between them. Then we have

⇒ 12.71 ÷ 6.2

⇒ 12.71 / 6.2

⇒ 2.05

The worth of the articulation 12.71 ÷ 6.2 utilizing the division property will be 2.05.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

(1) x+6

Step-by-step explanation:

Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12

Check each answer choice with synthetic division:

1 | 1 9 16 -12

 __1_10_26

    1 10 26 | 14

-2 | 1  9   16 -12

   __-2_-14_-4

      1  7   2  | -16

-6 | 1 9     16 -12

    __-6_-18_12

      1  3   -2  | 0

Therefore, x+6 is a factor of the polynomial

Answer:

(1) x+6

Step-by-step explanation:

Answer:

less than is

<

Step-by-step explanation:

equal to is =

mark me as brainliest pls

Answer:

the sample standard deviation and t distribution can be used

Step-by-step explanation:

Answer: 219

Step-by-step explanation:

68% are within 30 minutes to 40 minutes, 95% are within 25 minutes to 45 minutes and 99.7% are within 20 minutes to 50 minutes

The three sigma rule states that 68% are within one standard deviation of the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.

Given that μ = 35, σ = 5

68% are within one standard deviation = μ ± σ = 35 ± 5 = (30, 40)

95% are within two standard deviation = μ ± 2σ = 35 ± 2*5 = (25, 45)

99.7% are within three standard deviation = μ ± 3σ = 35 ± 3*5 = (20, 50)

`Find out more on three sigma rule at: https://brainly.com/question/25966249

Answer:

y = 41.65

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 49 when x = 40

49 = 40k ( divide both sides by 40 )

[tex]\frac{49}{40}[/tex] = k = 1.225

y = 1.225x ← equation of variation

When x = 34 , then

y = 1.225 × 34 = 41.65

Answer:

rectangle= 22*9 = 198ft

triangle=11*10 = 110 ft

110+ 198 = 308 polygon

Answer:

check online for more information

Answer:

Step-by-step explanation:

2

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

This is an Exponent. It is when a number is being multiplied as many times as the Exponent on top.

[tex]\left(\frac{1}{4}\right)^3[/tex] The ³ is the exponent,

[tex]\frac{1}{4} \times\frac{1}{4} \times\frac{1}{4}[/tex] is the expansion, and

Multiply on top: 1 × 1 × 1 = 1

Multiply the bottom: 4 × 4 = 16. 16 × 4 = 64

Hence, [tex]\frac{1}{64}[/tex]  is the product or simplified form.

Another way:

[tex]\underline{\mathrm{Exponent\:rule\:}}\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]\left(\frac{1}{4}\right)^3[/tex]

[tex]=\frac{1^3}{4^3}[/tex]

[tex]1^3=1[/tex]

[tex]=\frac{1}{4^3}[/tex]

[tex]4^3=64[/tex]

[tex]=\frac{1}{64}[/tex]

Answer:

[tex]\huge\boxed{6x-7y=21}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept (0, b)

We have:

[tex]y=\dfrac{2}{3}x-3\to m=\dfrac{2}{3};\ b=-3[/tex]

From answers:

[tex]6x-7y=21\qquad|-6x\\\\-7y=-6x+21\qquad|:(-7)\\\\y=\dfrac{6}{7}x-3\to m=\dfrac{6}{7};\ \boxed{b=-3}[/tex]

[tex]-\dfrac{2}{3}x+3y=6\qquad|+\dfrac{2}{3}x\\\\3y=\dfrac{2}{3}x+6\qquad|:3\\\\y=\dfrac{2}{9}x+2\to m=\dfrac{2}{9};\ b=2[/tex]

[tex]\dfrac{2}{3}x+3y=-3\qquad|-\dfrac{2}{3}x\\\\3y=-\dfrac{2}{3}x-3\qquad|:3\\\\y=-\dfrac{2}{9}x-1\to m=-\dfrac{2}{9};\ b=-1[/tex]

[tex]x+4y=12\qquad|-x\\\\4y=-x+12\qquad|:4\\\\y=-\dfrac{1}{4}x+3\to m=-\dfrac{1}{4};\ b=3[/tex]

Answer:

6x-7y=21

Step-by-step explanation: :)

Ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Dado que desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente, y la hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s, para determinar a qué distancia del punto A se encontrarán y en cuánto tiempo se debe realizar el siguiente cálculo:

Por lo tanto, ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Aprende más en https://brainly.com/question/18500585

Answer:

10 cm

Simplified explanation/tl;dr: the small triangle is two thirds the size of the big triangle, so the missing side on the small triangle is two thirds the size of the same side on the big triangle

Long explanation/step by step:

It looks scary, but don't worry; for questions like this just find the ratio then multiply it by the similar side to find the missing side.

   This is what I mean: 8/12 simplified is 2/3 (4 is the common factor and 8/4 = 2 and 12/4 = 3). That's your fraction to multiply by.

   I chose 8 and 12 because look how the triangles are the same shape just different sizes, that means they're similar. the similar sides are just the same side on both triangles. (for this one, BC and GH are similar). to find how much smaller it is in fraction form, you just take two of the same sides and divide the small one by the big one. (big number becomes top, small becomes bottom)

   now just multiply 15 by 2/3 by using fraction multiplication. 15/1 x 2/3 = 30/3. Simplify that to 10/1 (3 is the common factor and 30/3 = 10 and 3/3 = 1). 10/1 = 10.

Step-by-step explanation:

a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:

Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries

Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries

b.

Because we know the population standard deviation, we can use a z test

Plugging in the values:

Expected population mean: 24.57

Sample average: 23.89

Sample size: 30

Population standard deviation: 2.4, we get 0.1207 as our p-value.

c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)

d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis

Answer:

Step-by-step explanation:

An example of one fraction that does NOT terminate is 2/3.

2/3 = 0.666666666666666 ....  That's the easy way to tackle the problem. Pick out the ones that don't terminate.

5/7 is the other one. It does not terminate either. It has 6 digits in a block that keeps on repeating itself forever.

5/7 = .571428 571428 which goes on forever.

So the two that do terminate are

3/2 which = 1.5

3/4 which = 0.75

Answer:

no

Step-by-step explanation:

since x=1   5-2<4 so then 3<4 so no Im not sure

Answer:

No

Step-by-step explanation:

5-x² when x=1 is 4.

1²=1

5-1=4

4 is not less than 4 so it can't be true.

Answer:

what's thequestion?

Step-by-step explanation:

Answer:

8.4

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

Conclusion:

Since:

Our new equation will be 7 - 2 = 5

Hoped this helped.

Hey there!

7 - 2x = 5

-2x + 7 = 5

SUBTRACT 7 to BOTH SIDES

-2x + 7 - 7 = 5 - 7

CANCEL out: 7 - 7 because that gives you 0

KEEP: 5 - 7 because it helps solve for the x-value

NEW EQUATION: -2x = 5 - 7

SIMPLIFY IT!

-2x = -2

DIVIDE -2 to BOTH SIDES

-2x/-2 = -2/-2

CANCEL out: -2/-2 (on the LEFT SIDE) because that gives you 1

KEEP: -2/-2 (on the RIGHT SIDE) because it helps you solve for the x-value

NEW EQUATION: x = -2/-2

SIMPLIFY IT!

x = 1

Therefore, your answer should be: x = 1

Checking to make sure it is correct!

-2x + 7 = 5

-2(1) + 7 = 5

-2 + 7 = 5

So, this makes this statement TRUE

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

485y to the power 2 + 5x to the power 2 - 6xy to the power 3 + 7

Step-by-step explanation:

I hope this helps. Also, there's this free app called Quick Math. If you need the steps, you should check there first, and maybe you should try that for other math problems as well.

Good luck and have a great rest of your day.

Answer:

add the exponents

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Kendrick bought 48 bagels.

Step-by-step explanation:

For this question, you would simply have to multiply 4 by 12.

Dozen means 12.

4x12=48

48 bagels.