Teri used 60% of 20 gallons of paint. How much did she use?

The expected total prize money is $2p/q.

Given that,

You participate as a participant in a game show and respond to questions. You receive $1 for each correct response, and you are disqualified if you first provide two consecutive inaccurate answers. You can answer properly with probability p or wrongly with probability q. Each question stands alone.

Let,

The probability of correctly answering a question is = p

The probability of incorrectly answering a question is = q

The number of failures after which you are eliminated is = 2

Let r = 2 =  No. of failures and

Let q = The probability of failure in a single question

Now, the number of questions that you will attempt will follow a negative binomial distribution whose parameters are r and q.

The expected value of a negative binomial distribution is given by

E[X] = r/q

So, the expected number of questions that you will attempt is = r/q = 2/q

Out of 2/q questions, the expected number of correct questions is = 2p/q

So, the expected total prize money is $2p/q.

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Answer:

B

Step-by-step explanation:

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

A certain company has a fixed cost of $200 per day.

It costs the company $3. 10 per unit to make its products.

The company is tracking its average cost to make x units using;

\(\rm f(x)= \dfrac{(200+3.10x)}{x}\)

Horizontal asymptotes exist for functions where both the numerator and denominator are polynomials.

To find the horizontal asymptote following all the steps given below.

Hence, the horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

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Answer: 6416

Step-by-step explanation:

The perimeter of this triangle is 416 centimeters

The approximate of \(f_{x}(3,5)\) ≈ 4

We have to find an approximate of \(f_{x}(3,5)\)  using the contour diagram, x and y, which was shown below. The slope of a second line is used to estimate the x and y direction. The curl f divides by the curl x is almost equal to the delta x. At the point of x, 13 is equal to 17 and 2 is equal to 18. The points are in a diagram. The curly f divides by curly x is equal to the delta f divided by delta x, which is 18 minus 17 divided by 2 minus 1. The value of a f is equal to 1. From here we can say that f of x 13 is equal to 1.

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Answer:

xy & 10xy.

Step-by-step explanation:

The original value is 32xy. Because it has the variable xy, you need to choose values with those same variables. This leaves xy and 10xy.

A) Domain and Range of f(x):

The domain of a function represents all the possible values of x for which the function is defined. From the information provided, it is not clear what the exact domain of the function is. However, assuming that the graph extends indefinitely in both directions, the domain of f(x) is likely to be all real numbers (-∞, +∞).

The range of a function represents all the possible values of f(x) for the given domain. Again, without specific details about the graph, it is difficult to determine the exact range. However, based on the visible portion of the graph, it appears that the range of f(x) lies between the lowest point on the graph and the highest point on the graph.

B) Drawing f(x) and f(x + 3) - 1 on the same graph:

To graph f(x) and f(x + 3) - 1 on the same graph, you would start by plotting the points of the original function f(x). Then, to graph f(x + 3) - 1, you would shift the entire graph of f(x) horizontally by 3 units to the left (since it's x + 3) and vertically down by 1 unit (due to the -1). This transformation reflects the effect of the function f(x + 3) - 1.

By plotting the transformed points, you would be able to see how the graph of f(x + 3) - 1 relates to the function f(x).

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Answer:

\(50\)

Step-by-step explanation:

Let \(x =\) blank (for convenience)

\(20\%x=10\)

\(0.2x=10\) (change \(20\%\) into its decimal form)

\(x = 10\div 0.2\) (divide \(0.2\) on both sides)

\(x=50\)

∴ Blank = 50

Hope this helps :)

The given statement is True.

Because the one-tailed test provides more power to detect an effect in one direction by not testing the effect in the other direction.

In statistics, power is defined as the likelihood of correctly rejecting a null hypothesis. In other words, avoiding a type II error. There are many ways to increase the power of a study to ensure that significant effects are not missed and incorrect conclusions are not drawn.

The main difference between one-tailed and two-tailed tests is that one-tailed tests will only have one critical region whereas two-tailed tests will have two critical regions. If we require a 100(1−α) 100 ( 1 − α ) % confidence interval we have to make some adjustments when using a two-tailed test.

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Answer:

1) Pr(all three) = 0.064

2) Pr(none) = 0.216

3) Independent event

Step-by-step explanation:

Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)

Where Pr = probability

This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure

Where p = success, q = failure

For n trials,

Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Pr (security) = 40% = 0.4

p = 0.4

q = 1-p = 1-0.4 = 0.6

Numbers selected at random = n = 3

See attachment for more details on the workings.

1) Probability all three of the selected homes have a security system = Pr(all three)

Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³

= 0.4×0.4×0.4

Pr(all three) = 0.064

2) Probability none of the three selected homes have a security system

= Pr(none)

Pr(none) = 1 × (0.4)^0 × (0.6)³

= 0.6³ = 0.6×0.6×0.6

Pr(none) = 0.216

3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.

Your monthly income after working 25 hours per week is 1400 dollars.

You are paid $14 an hour. You work 25 hours a week. Your tax rate is 17 % . Your monthly income can be calculated as follows:

4 weeks =  1 month

1 weeks = 25 hours

4 weeks  = ?

cross multiply

hours worked in a month = 100 hours

Therefore,

1 hours = 14 dollars

100 hours = ?

cross multiply

monthly income = 100 × 14

monthly income = 1400 dollars

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After depreciating for 3 years at a rate of 16% per year, the computer is worth approximately $788.26.

To find the worth of the computer after depreciating for 3 years at a rate of 16% per year, we can use the formula for compound interest with depreciation.

Given:

Initial value (cost of the computer) = $1,495

Depreciation rate = 16% per year

Number of years = 3

1. Convert the depreciation rate to a decimal: 16% = 0.16.

2. Calculate the depreciation factor, which is (1 - depreciation rate):

Depreciation factor = 1 - 0.16 = 0.84.

3. Apply the formula for compound interest with depreciation:

Worth = Initial value * (Depreciation factor)^(Number of years).

Substituting the given values into the formula:

Worth = $1,495 * (0.84)^3.

Calculating the exponent:

Worth = $1,495 * 0.84 * 0.84 * 0.84.

Simplifying the expression:

Worth ≈ $788.26.

Therefore, after depreciating for 3 years at a rate of 16% per year, the computer is worth approximately $788.26.

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Answer:

96 and 192

Step-by-step explanation:

This is a geometric sequence with a common ratio of 2 :

3 × 2 = 6

6 × 2 = 12

12 × 2 = 24

24 × 2 = 48

48 × 2 = 96

96 × 2 = 192

Therefore our final answers are 96 and 192

Hope this helped and have a good day

the answer is A,

when 2 items are congruent it means they are the same or identical, eg "these triangles are congruent"

Option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.

We are given that:

Jeffrey has 8 worms

The 4 worms in it has the length of 3 inches.

The expression would become:

Length = 4 × 3

Also, we are given that the rest 4 worms are of equal length.

Let that equal length be x

The expression becomes:

Length = 4 × x = 4 x

Also, we are given that the total length of the worms = 32 inches.

The equation becomes:

32 = 3 × 4 + 4 × x

4 ( x + 3 ) = 32

Therefore, option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.

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For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 5% level of significance, the null hypothesis C. is rejected

A one-tailed hypothesis test refers to a statistical test in which the alternative hypothesis is either greater than or less than the null hypothesis, but not both. Since the problem states that it is a one-tailed hypothesis test (upper tail), the alternative hypothesis, H1, will be a greater than or > sign. Hypothesis testing is the method of determining whether or not an assertion about a population parameter is consistent with sample data. A hypothesis test is conducted to assist in deciding between two competing hypotheses. One hypothesis is the null hypothesis (H0), which is a statement of the population parameter that is being tested.

In a hypothesis test, the null hypothesis is rejected if the test statistic falls in the rejection region. The test statistic, which measures the distance between a sample estimate and the null hypothesis, is used to assess whether or not the null hypothesis should be rejected. Reject the null hypothesis if the p-value is less than or equal to α. Since the p-value of 0.034 is less than the level of significance, α, of 0.05, the null hypothesis will be rejected, according to the question above. Therefore, option C is correct.

The Question was Incomplete, Find the full content below :

For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 5% level of significance, the null hypothesis

a. could be rejected or not rejected depending on the sample size.

b. could be rejected or not rejected depending on the sample mean.

c. is rejected.

d. is not rejected.

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Answer:

D. y= 1/2x2 - 2x + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 2 , − 3 )

Focus:  

( 2 , − 5 /2 )

Axis of Symmetry:  

x = 2

Directrix:  

y

=

−

7

2

x

y

0

−

1

1

−

5

2

2

−

3

3

−

5

2

4

−

1

_____________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 /2 , − 3/ 2 )

Focus:  

( − 1 /2 , − 11 /8 )

Axis of Symmetry:  

x = − 1/ 2

Directrix:  

y

=

−

13

8

x

y

−

2

3

−

1

−

1

−

1

2

−

3

2

1

3

2

11

____________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

1

2

,

−

3

2

)

Focus:  

(

1

2

,

−

11

8

)

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

−

13

8

x

y

−

2

11

−

1

3

1

2

−

3

2

1

−

1

2

3

___________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

2

,

−

1

)

Focus:  

(

2

,

−

1

2

)

Axis of Symmetry:  

x

=

2

Directrix:  

y

=

−

3

2

x

y

0

1

1

−

1

2

2

−

1

3

−

1

2

4

1

Fins play a crucial role in heat transfer processes by increasing the surface area available for heat exchange. In both losing and collecting heat scenarios, fins enhance heat transfer through convection.

By increasing the contact area between the fluid and the fin surface. Fins are commonly used in applications such as heat sinks, radiators, and air conditioning systems. In the case of losing heat, the fin is exposed to a higher temperature fluid or surface. The increased surface area of the fin allows for more efficient heat dissipation into the surrounding medium, facilitating heat transfer from the fin to the environment. The larger surface area promotes faster cooling by increasing the convective heat transfer coefficient.

Conversely, in the case of collecting heat, the fin is exposed to a lower temperature fluid or surface. The enlarged surface area enables the fin to efficiently absorb heat from the surrounding medium. The greater contact area enhances the convective heat transfer between the fluid and the fin, allowing for effective heat absorption.

In both scenarios, fins optimize heat transfer by providing a larger surface area for heat exchange, improving the convective heat transfer process, and enabling efficient heat dissipation or absorption, depending on the application.

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The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.

For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.

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Answer:

a) P(t) = 5/6t + 20

b) 34.2 beetles

c) After 78 weeks.

Step-by-step explanation:

a) A general linear growth model can be expressed as P(t) = at + b, where P is the number of beetles in time t and t is the time in weeks.

It is known that:

P(0) = 20

P(6) = 25

These values can be substituted in the general equation to find a and b:

P(t) = at + b

P(0) = 20:

20 = a*0 + b

20 = 0 + b

20 = b

So,

P(t) = at + 20

Using P(6) = 25:

25 = a*6 + 20

25 - 20 = a*6

5 = a*6

5/6 = a

So, the linear growth model can the represented as:

P(t) = 5/6t + 20

b)

The number of beetles after 17 weeks is P(17):

P(17) = 5/6*17 + 20

P(17) = 14.1 + 20

P(17) = 34.2

34.2 beetles.

c)

P(t) = 85

85 = 5/6t + 20

85 - 20 = 5/6t

65 = 5/6t

t = 65*6/5

t = 78

After 78 weeks.

The decimal number that contains the digit 6 in the thousandths place is 68.16534.

The place value of a digit in a decimal number is determined by its position relative to the decimal point. In the given options, the thousandths place is the fourth digit after the decimal point. Among the options, only 68.16534 has the digit 6 in the thousandths place.

The other options, 68.12534, 608.43521, and 608.15621, have different digits (1, 4, and 5) in the thousandths place. Therefore, the decimal number 68.16534 is the one that satisfies the condition of containing the digit 6 in the thousandths place.

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Given: the cube of the difference of m and 14 ​

The differnce of m and 14 is m - 14

The cube of the difference will be :

Answer:

$47

Step-by-step explanation:

(3 plates)($4/plate) + (5 shakes)($7/shake) = $47

The whole expression is

\(\[ F * \sim(E * D) \leftrightarrow \sim(D * E + F) * D = 1 \leftrightarrow 0 = 0 \]\). The truth value of the given expression is 0.

To find the truth value of the given expression \[ F * \sim(E * D) \leftrightarrow \sim(D * E+F) * D \] with the given truth values:

\[ D=1, \quad E=0, \quad F=1 \]

Let's evaluate each part of the expression step by step:

1. Evaluate \(\sim(E * D)\):

  \[ \sim(E * D) = \sim(0 * 1) = \sim(0) = 1 \]

2. Evaluate \(\sim(D * E + F)\):

  \[ \sim(D * E + F) = \sim(1 * 0 + 1) = \sim(1) = 0 \]

3. Evaluate \(\sim(D * E + F) * D\):

  \[ \sim(D * E + F) * D = 0 * 1 = 0 \]

4. Evaluate \(F * \sim(E * D)\):

  \[ F * \sim(E * D) = 1 * 1 = 1 \]

Finally, we can evaluate the whole expression:

\[ F * \sim(E * D) \leftrightarrow \sim(D * E + F) * D = 1 \leftrightarrow 0 = 0 \]

Therefore, the truth value of the given expression is 0.

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Answer:

the trains will be 48 miles apart at 4 mph

Step-by-step explanation:

hope this helps :D brainliest?

Answer:

3

Step by step explanation:

So, I just added 9.5 to 18.95, I got 28.45. 28.45x3=85.30, so he bought 3 tickets.

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

The equivalent is the expression that is in different forms but is equal to the same value.

Five-sevenths squared times one-third raised to the power of negative three all raised to the power of negative one.

Convert the sentence into numerical form.

\(\rm \rightarrow \left [ \left (\dfrac{5}{7} \right )^2 \times \left ( \dfrac{1}{3}\right )^{-3} \right ] ^{-1}\)

Simplify the expression, then we have

\(\rm \rightarrow \left [ \left (\dfrac{7}{5} \right )^{2} \times \left ( \dfrac{1}{3}\right )^{3} \right ]\)

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

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The magnitude of the angular momentum of Earth is approximately 2.696 x \(10^37 kg m^2/s\).

To find the magnitude of the angular momentum of Earth, we need to consider its mass, distance, and speed.

Step 1: Convert speed to meters per second (m/s) and distance to meters (m)
Speed: 30 km/s * 1000 m/km = 30,000 m/s
Distance: 149.6 gigameters * \(10^9\) m/gigameter = 149.6 x \(10^9\) m

Step 2: Calculate the angular momentum (L)
Angular momentum formula: L = m * r * v
where:
m = mass \((6.0 x 10^24 kg)\)
r = distance (149.6 x \(10^9\) m)
v = speed (30,000 m/s)

Step 3: Plug in the values and calculate
L = (6.0 x \(10^24\) kg) * (149.6 x \(10^9\) m) * (30,000 m/s)

Step 4: Simplify the expression
L = 2.696 x \(10^37\) kg \(m^2\)/s

The magnitude of the angular momentum of Earth is approximately \(2.696 x 10^37 kg m^2\)/s.

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Answer:

19x23 = 437

437-23 = 414

414-9 = 405

Step-by-step explanation:

I believe this is what the question is asking. if not please let me know and tell me how the question works.