If Ethan bowled 9 games at Lucky Strike, how much would he pay total?

Answer: 15 - h - 3

Step-by-step explanation:

Answer:

15[tex]\frac{17}{24}[/tex]

Step-by-step explanation:

5 [tex]\frac{7}{8}[/tex] + 9 [tex]\frac{5}{6}[/tex]  We can write the fractions as equivalent fractions with a common denominator of 24

[tex]\frac{7}{8}[/tex] x[tex]\frac{3}{3}[/tex] = [tex]\frac{21}{24}[/tex]

[tex]\frac{5}{6}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{20}{24}[/tex]

5[tex]\frac{21}{24}[/tex] + 9[tex]\frac{20}{24}[/tex]

5 + 9 + [tex]\frac{21}{24}[/tex] + [tex]\frac{20}{24}[/tex]

14 + [tex]\frac{41}{24}[/tex]

14 + [tex]\frac{24}{24}[/tex] + [tex]\frac{17}{24}[/tex]   I broke up [tex]\frac{41}{24}[/tex] because [tex]\frac{24}{24}[/tex] is another name for 1

14+1 + [tex]\frac{17}{24}[/tex]

15[tex]\frac{17}{24}[/tex]

Answer: I believe its:  An equation that can be used to find x is 4x+30.25=52.25, and each game ticket costs $5.50.

Step-by-step explanation:

well, 52.25 - 30.25 is 22$

22 divided by 4 is 5.50

4 times x plus 30.25 is 52.25

so 4x+30.25= 52.25

Answer: -2 1/8

Step-by-step explanation:

3 1/2 = 3 4/8

5 5/8 - 3 4/8 = 2 1/8

Add the negative sign back to get -2 1/8

The value for the expression, (f * g)(x) is calculated as: C. 8x³ - 12x² - 6x - 1.

We are given the following functions,

f(x) = 4x² – 4x + 1 and g(x) = 2x – 1.

To find the value of the expression, (f * g)(x), it means we have to multiply the functions together. See the steps explained below.

(f * g)(x) = f(x) * g(x)

Plug in the values:

(f * g)(x) = f(x) * g(x) = (4x² – 4x + 1)(2x – 1)

(f * g)(x) = 4x²(2x – 1) - 4x(2x – 1) + 1(2x – 1)

Apply the distribution property of equality:

(f * g)(x) = 8x³ – 4x² - 8x² + 4x + 2x – 1

Combine like terms:

(f * g)(x) = 8x³ - 12x² - 6x - 1

Therefore, the answer is: C. 8x³ - 12x² - 6x - 1.

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The equation of oscilating plane at the point on the curve corresponding to the indicated value of t, r(t)=i + 2tj +t^2k; t=1 is

x - 1 = 0.

Unit tangent vector, T(t) at t = 1 is

T(t) = (√2/2 ) j +(√2/2 ) k

Principle Normal vector at t = 1 is N(1) = - (√2/2 ) j + (√2/2 ) k

We have , x,y,z for the osculating plane at the point on the curve corresponding to the indicated value of t.

r(t) = i + 2t j + t² k

So, r'(t) = 0 i + 2 j + 2t k

Unit tangent vector , say T(t) is

T(t) = (0 i + 2 j + 2t k )/√0+(2)²+ (2t)²

T(t) =( 2 j + 2t k)/√4+ 4t² = 2(j+k)/2√1+t²

T(t) = (j + t k) / √1+t²

At t = 1 , T(t) = (j + k )/√1+1 = (j+k)/√2

T(t) = (√2/2 ) j + (√2/2 ) k

Now, tangent vector and normal vector prependicular to each other.

So, principle vector is N(1) = - (√2/2 ) j + (√2/2 ) k

Now, binormal vector is B = T×N

= | i j k |

| 0 √2/2 √2/2 |

| 0 -√2/2 √2/2 |

= <1,0,0>

Equation of oscilating plane is

1( x- 1) + 0(y - 2) + 0( z - 1) = 0

=> x = 1

Hence, equation of oscilating plane is x-1 = 0

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Answer:

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Therefore, the equation of the line with slope -4 and y-intercept 2 is y = (-4)x + 2.

Time is represented by the variable. Since a person's speed, which can take on nearly any value, determines how long it takes them to complete a mile, this variable is continuous.

If a quantitative variable is often obtained through measuring or counting, it can either be continuous or discrete. If a variable can take on any two particular real values and all other real values in between, it is said to be continuous over a range of real values.

First, when is a variable continuous and when is it discrete?

A variable is continuous if it can take any value (or at least a dense set of values) inside a certain interval as opposed to discrete if it can only take a few specific values on that interval.

For instance, the only possible values for the numbers one can roll on a dice are 1, 2, 3, 4, 5, and 6, to provide one example.

The variable in this instance now stands for time. Time is nearly always a continuous variable; in this instance, the time refers to the duration of a mile run. Therefore, that variable is capable of practically any value (depends on the speed of the person).

Therefore,

Time is represented by the variable. Since a person's speed, which can take on nearly any value, determines how long it takes them to complete a mile, this variable is continuous.

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The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

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If Caleb's school is five blocks due north of his home,  the figure that is  closest to the straight-line distance from Caleb's s  is (D) 1,481 ft.

Distance can be defined as how far an object is from another object.

Using Pythagoreans theorem

Hypotenuse =√Perpendicular² + Base²

Where:

Perpendicular = 275 feet ×5 = 1375ft

Base = 275 feet × 2 = 550ft

Let plug in the formula

Hypotenuse =√ 1375 ft² + 550ft

Hypotenuse =√1,890,625 + 302,500

Hypotenuse =√2,193,128

Hypotenuse = 1,480.9ft

Hypotenuse = 1,481ft (Approximately)

Therefore the correct option is D.

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Properties of Definite Integrals A definite integral is a function that assigns a value to the area under a curve on a given interval are additive , linearity , continuity , monotonicity and upper and lowersums.

1. Additivity: The definite integral of a sum is equal to the sum of the definite integrals.

2. Linearity: The definite integral of a linear function is equal to the product of the function's slope and the length of the interval.

3. Continuity: The definite integral of a continuous function is equal to the area under the curve between two points.

4. Monotonicity: If a function is increasing or decreasing on a given interval, then the definite integral of the function is also increasing or decreasing.

5. Upper and Lower Sums: The upper and lower sums of a function are the sums of the areas of rectangles constructed under or over the curve between two points. The definite integral of the function is equal to the difference between the upper and lower sums.

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As per the given standard deviation, only (i) is true.

The term standard deviation refers the measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Here have given that the Bay Area Online Institute (BAOI) has set a guideline of 60 days for the time it should take to complete an independent study course.

Here by analyzing the times taken to complete the course for 16 random students, BAOI found the average time it took to complete the course was 72 hours with a standard deviation of 20 hours.

So, let us consider the possible inferences BAOI can make about the time it takes to complete this course if they assume that the time it takes is normally distributed:

i. For the 5% level, BAOI can infer that the average time to complete exceeds 60 hours.

ii. For the 1% level, BAOI can infer that the average time to complete exceeds 60 hours.

Here we are trying to determine if they should spend at least 480 minutes a day studying.

Now, our knoll is that the mean is 480 and then we are looking for evidence that they are studying less than 480.

Here we don't know the population standard deviation so we're going to use a distribution.

In the given, critical values are going to be a distribution with degrees of freedom.

So, if we look at a chart 11 of freedom, we can see our critical value. I'm going to center to zero if I draw our T.

Therefore, the tail probability of.05 and the rest of it is.95%.

Based on these value we have conform that option (1) is correct.

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The cost of changing the oil and filter during 2021, in total is $1512.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a transportation company has 8 shuttle buses. The company changed the oil and filter of each shuttle three times during the year 2021. If changing the oil and filter each time for each shuttle cost $63.

The cost will be calculated by multiplying the number of buses by the number of times it is changed with the cost of each time change.

Cost = 63 x 3 x 8

Cost = $1512

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To solve this system of differential equations using the series method, we can assume that the solution can be expressed as a power series in both x and y:

[tex]u(x,y) = a0 + a1x + a2y + a3xy + a4x^2 + a5y^2 + ...[/tex]

Substituting this expression into each of the differential equations and collecting the coefficients of each term gives us the following system of equations:

a0 + 5a0 = 0

a1 + 5a2 = 0

a2 + 5a1 = 0

a4 + 5a4 = 0

a5 + 5*a5 = 0

Solving this system of equations gives us the following values for the coefficients:

a0 = 0

a1 = 0

a2 = 0

a3 = 0

a4 = 0

a5 = 0

Therefore, the power series expansion of the solution is:

u(x,y) = 0

This means that the only solution to the differential equations is the trivial solution u(x,y) = 0.

Note that this method of solving differential equations using power series is only applicable if the differential equations are linear and homogeneous, which means that the coefficients of the terms in the differential equations do not depend on x and y, and the right-hand sides of the equations are all equal to 0. If the differential equations are nonlinear or inhomogeneous, other methods may be required to find their solutions.

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A 80% confidence interval for the slope of the population regression line is answers precise to at least two decimal places is Lower limit : 16.4083 and Upper limit : 49.9587 .

Given :

A least-squares regression on the data he collected produces the equation

y =37.67 + 33.18x

where x is metatarsal - to - femur ratio and ŷ is predicted maximal sprint speed in kilometers per hour. The standard error of the intercept is 5.69 and the standard error of the slope is 7.94.

The sample number is 49 species (here we assume that all the individuals of a the same species are summarised with a central tendency measure.

33.18 - 2.1123 ( 7.94 ) ≤ β ≤ 33.18 + 2.1123 ( 7.94 )

16.4083 ≤ β ≤  49.9587 .

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For the given diagram 1. d) all of them are correct, 2. d)none of them are correct and Total Revenue is 3. b. $90,125

1.

Marginal Revenue is

the change in Total Revenue/Change in units of output produced

In the given question the price of the output is fixed at $125.

Hence no matter what the quantity of output sold, every additional output produced will generate an additional revenue of $125.

hence option d) all of them are correct has to be chosen.

2.

Now we already know that if the price has been fixed at $125, the marginal revenue generated cannot be anything but $125.

Hence, option d) None of them are correct.

3.

Total Revenue = Price X Quantity

Here it is given that the Price is $175

Output is 515 units

Hence, the Total Revenue will be $(175  X  515)

= $90125

Hence, option b. $90125 is correct.

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Complete Question

(Image Attached)

Option D is the correct answer, Universal Instantiation is The implicational rule of inference that permits us to derive a specific instance from a universal statement.

It is the process of deriving an individual statement from a general one by replacing the variable with a name or another referring expression called Instantiation.

Universal Instantiation is also called universal specification or universal elimination, it is a valid rule of inference from the truth about each member of a class of individuals to the truth about a particular individual of that class.

Example: "No humans can fly. John Doe is human. Therefore John Doe can not fly."

∀xA⇒A(x↔a}

for every formula A and every term a, where A(x↔a}  is the result of substituting a for each free occurrence of x in A. A(x↔a} is an instance of

∀xA.

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Step-by-step explanation:

17 of 20

11 of 15

20 of 25

that is in total

17+11+20 = 48

of

20+15+25 = 60

so, he answered 48 of 60 correctly

48/60 = 4/5 = 0.8 = 80%

Answer:

79.44%

Step-by-step explanation:

We are given that there are 3 sections to this test and how the student scored in each of those sections. Let us add all of these fractions together.

[tex]\frac{17}{20} +\frac{11}{15} +\frac{20}{25} =\frac{143}{60} \\[/tex]

We must now divide this amount by 3 to find the average of the three sections. This gives us [tex]\frac{143}{180}[/tex].

These means that the student answered  [tex]\frac{143}{180}[/tex]  of the questions correctly, or 79.44%.

According to the given questions the answer is for 3 hour $560, for 8 hour cost $685 and for 12 hour cost $785.

A crucial concept that time and labour have in common with some other mathematical topics is the concept of proportionality. Because efficiency grows inversely linked to the amount of time needed when the quantity of work is constant.

The fundamental equation for solving is 1/r+1/s=1/h. Let's choose Hrithik as our example. Let's assume that Hrithik completes 1/20 of something like the work in a day and Dhoni completes 1/30 of the work in a day. They will accomplish 1/20 + 1/30 = 5/60 = 1/12th of something like the work in a day if they collaborate.

Given that John paid $485 to build a deck.

And he will pay $25 per hour to his brother for building the deck.

one hour of work costs John $25 + $485 .

Total cost of building deck = $25 × h number of hours + $485

3 hour of work costs $25 × 3 = $75 + $485 = $560

8 hour of work costs = $25 × 8 = $200 + $485 = $685

12 hour of work costs = $25 × 12 = $300 + $485 = $785

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The complete question is-

John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project?

h c

0 485

3 510

8 535

12 560

h c

0 510

3 535

8 560

12 585

h c

0 485

3 560

8 685

12 785

h c

0 510

3 585

8 710

12 810

Answer:

Hi!

The answer would be: 6 + 54t

I hope this helped you! :)

Step-by-step explanation:

Answer:

54t + 6

Step-by-step explanation:

Simplify the expression. Use the distributive property. The distributive property states that an expression which is given in form of a(b + c) can be solved into (ab) + (ac). Distribute and multiply 6 to all terms within the parenthesis. Then, simplify:

[tex]6(1 + 9t)\\\\=(6 * 1) + (6 * 9t)\\= (6) + (54t)\\ = 54t + 6[/tex]

54t + 6 is your answer.

~

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The value of missing x = 5

The value of missing y = 17 / 3

The standard line equation, y = mx + b, or the slope formula, m = (y2 - y1)/(x2 - x1), can both be used to find the slope, m.

According to the given information

Let two points be [tex](x_{1} , y_{1} )[/tex] and [tex](x_{2} , y_{2} )[/tex] are ( 3 , 8 ) and ( 6 , 15 )

Slope of the two points = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

                                       = [tex]\frac{15-8}{6-3}[/tex]

                                       = 7 / 3

Let the equation passing through points  ( 3 , 8 ) be

[tex]( y - y_{1}) = m(x - x_{1})[/tex]

y - 8 = 7/3( x - 3 )

3y - 24 = 7x - 21

3y = 7x - 21 + 24

3y = 7x + 3

When x = 2

3y = 14 + 3

y = 17 / 3

When y = 38/5

114/3 = 7x + 3

7x = 114/3 - 3

21x = 114 - 9

x = 5

So

The value of missing x = 5

The value of missing y = 17 / 3

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Answer:

$5.98 credit

Step-by-step explanation:

the slope OR "m" in y=mx in this equation is given to be: -0.16

To find the answer you know that the calling time (x) is 37 minutes, therefore you multiply 3 by -0.16 to find the credit after 37 mins

y=mx

y=(0.16)(37)

y=5.92

Answer:

4/15

Step-by-step explanation:

To answer this question, we're gonna want to convert the fractions so that they have the same denominator (the number on the bottom of the fraction) and it's easy for us to visualize what's going on. AKA, we need to find the least common denominator (LCD).

We're going to multiply 2/5 and 1/3 by a number so they have the same denominator. In this case, that would mean multiplying them by the other fractions denominator. So multiplying 2/5 by 3 and 1/3 by 5.

2/5x3= 6/15.    1/3x5=5/15.

Now we're viewing the book in 15ths instead of both 5ths and 3rds.

6+5=11, so we know that 11/15 of the book has been read.

15/15-11/15=4/15

4/15 of the book is left to read.

Hope this explanation helped!

The graph that represents the solution to the system of inequalities is graph (a).

What is system of inequality?

A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem requires a variety of solutions and those solutions must satisfy multiple constraints, systems of inequalities are used.

The given system of inequalities is,

y < -3x - 2

y ≤ x - 2

y < -3x - 2 means that the left-hand side of the inequality will be shaded, and the line of the inequality will be a dotted line.

y ≤ x - 2 means that the left-hand side of the inequality will be shaded, and the line of the inequality will be a closed line.

The above highlights means that the shaded region that represent the solution to the system of inequalities will be at the left-hand side

Hence, graph (a) represents the system of inequalities.

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Answer:

The new price of the product will be 1.07x, where x is the original price.

The manager has increased the price by 0.07x, which is 7% of the original price. This is equivalent to multiplying the original price by 1 + 0.07, or 1.07.

So, the new price of the product is 1.07 times the original price, or 1.07x.

Answer:

12.2 years

Step-by-step explanation:

To solve, use the exponential growth formula:

[tex]A_t=A_0(1+r)^x[/tex]

where

[tex]A_t[/tex] = Amount as a function of time ($15500)

[tex]A_0[/tex] = Original amount ($5400)

[tex]r[/tex] = rate (.09)

[tex]x[/tex] = time in years

So,

[tex]15500=5400(1+.09)^x\\15500(\frac{1}{5400})=5400(1.09)^x(\frac{1}{5400})\\2.87=1.09^x\\\log_{1.09}2.87=\log_{1.09}1.09^x[/tex]

Use the logarithmic rules that state [tex]\log_{a}a=1[/tex] and [tex]\log_{a}a^b=b\log_{a}a[/tex]:

So,

[tex]\log_{1.09}2.87=x\\12.24\ years=x[/tex]

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Now, According to the question:

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Let's know:

What is Confidence Interval?

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.

The common notation for the parameter in question is θ. Often, this parameter is the population mean μ , which is estimated through the sample mean bar x.

The level C of a confidence interval gives the probability that the interval produced by the method employed includes the true value of the parameter θ.

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Answer: 13

Step-by-step explanation: To find f(2), you can put 2 into all of the x spots, thus making the equation 4(2)+5. From there you can do PEMDAS and multiply 4 and 2 to get 8, and then add 5 to get 13.

The characteristics of polynomial graphs' intercepts reveal the multiplicity's characteristics. The function is a potential representation of the graph; f(x) = x²·(x - a) (x - a) , ²·(x - b) (x - b),⁴·(x - c) (x - c).

The alternative provides a function that can represent a graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c)

Reason:

The graph's description is as follows:

Three points on the graph deviate from the x-axis.

Therefore;

The first equation is satisfied by the graph's even multiplicity at three places, such as x2, (x - a)2, and (x - b)4.

The graph once almost linearly crosses the x-axis.

Therefore;

The first equation's function contains a single zero or component, such as (x - c), so;

The function is a potential representation of the graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c).

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