To jump at a local trampoline park, each attendee is charged $14.75 per hour. In addition, each attendee must spend $3.50 to purchase a pair of jumping socks. The trampoline park also offers food specials. Currently, attendees can purchase a super pizza deal, which includes a large pizza and a pitcher of soda, for only $15.50 . Five friends decide to visit the trampoline park. Each friend will buy a pair of socks and jump for two hours. The friends will also buy one super pizza deal to share.

Answer:

77

Step-by-step explanation:

a) The cost of an oil change, brake pads and radiator flush are $59.99, $40 and $10 respectively

b) He can expect to pay $50

The different combinations available are:

Oil change and radiator flush = $69.99

Brake pads and oil change = $99.99

Oil change, radiator flush and brake pads = $139.99

So, equating the above equations we get the individual prices of the items:

Oil change = $59.99

Brake pads = $40

Radiator flush = $10

Part a:

The price of an oil change is $59.99

The cost of brake pads replacement is $40

The price of a radiator flush is $10

Part b:

Brake pads replacement costs $40

Radiator flush costs $10

So, he can expect to pay $50 for the work

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Answer:

hope this answer helps you dear...take care and may u have a great day ahead!

As the odds of the poorest shooter missing both shots are higher, intentionally fouling them (56 percentage) is a better tactic than fouling the 94% free throw shooter.

a. A player has a 0.8836 chance of making both free throws if they convert 94% of their attempts (to 4 decimals).

b. There is a 0.9972 percent chance that a player who makes 94% of his free throws will also make at least one (to 4 decimals).

c. There is a 0.0028 percent chance that a player who makes 94% of his free throw attempts will miss both attempts (to 4 decimals).

It is better to intentionally foul the guy who makes 94% of his free throw attempts than it is to intentionally foul the player with the poorest free throw shooting percentage. The likelihood that a player will make both free throws when he makes 56% of his attempts is 0.3136. (to 4 decimals). The odds that a player will make at least one free throw with a 56% success rate are 0.8232. (to 4 decimals). The likelihood that a player will miss two of his free throw attempts when he makes 56% of them is 0.1768. (to 4 decimals). Intentionally fouling the poorest free throw shooter would be the more successful tactic since the odds of the worst free throw shooter missing both shots are higher than the odds of the 94% free throw shooter missing both shots.

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The values of a and b for the probability density function are a = 56 and b = 216.

According to the given information, the mean daily spending by Americans earning over $90,000 per year was $136 per day, and the probability density function is given by f(x) = 0.00625 for a ≤ x ≤ b.

To find the values of a and b for the probability density function, we can use the formula for the mean of a uniform distribution:

mean = (a + b)/2

Substituting the given mean value of $136 into the formula, we get:

136 = (a + b)/2

Multiplying both sides of the equation by 2, we get:

272 = a + b

Rearranging the equation, we get:

b = 272 - a

Now, we can use the formula for the area under the probability density function, which is equal to 1:

∫_a^b f(x) dx = 1

Substituting the given probability density function and the value of b into the formula, we get:

∫_a^(272-a) 0.00625 dx = 1

Simplifying the integral, we get:

0.00625(272 - 2a) = 1

Dividing both sides of the equation by 0.00625, we get:

272 - 2a = 160

Rearranging the equation, we get:

2a = 112

Dividing both sides of the equation by 2, we get:

a = 56

Substituting the value of a back into the equation for b, we get:

b = 272 - 56 = 216

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The equation of the line in slope-intercept form representing the amount of money in Marus's account over time is y = mx + b.

In the slope-intercept form of a linear equation, y represents the dependent variable (in this case, the amount of money in Marus's account), x represents the independent variable (time), m represents the slope of the line, and b represents the y-intercept (the value of y when x = 0).

To determine the equation of the line, we need to know the slope and y-intercept values. The slope, m, represents the rate of change of Marus's account balance over time. If we have two points on the line, we can calculate the slope using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Once we have the slope, we can substitute it along with the coordinates of any point on the line into the slope-intercept form equation y = mx + b to solve for the y-intercept, b. The y-intercept is the value of y when x = 0, meaning it represents the initial amount of money in Marus's account.

By determining the values of m and b, we can write the equation of the line in slope-intercept form and have a mathematical representation of how the amount of money in Marus's account changes over time.

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Answer:

C

Step-by-step explanation:

\( \sqrt{3x} + 8 = x - 2\)

Answer:

2:3

Step-by-step explanation:

First, create the ratio by putting the numbers together:

There are 4 red and 6 blue marbles:

4:6

Since both of these are divisible by 2, it can be simplified:

4:6

2:3

So, the ratio of red marbles to blue marbles is 2:3

Answer: 4 to 6 marbles

Step-by-step explanation:

8 less than 3 times a number is at most 30 can be written as 8 < 3N ≤ 30

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Since 8 less than 3 times a number is at most 30

Let the number be N

Thus, 8 less than 3 times a number is at most 30 can be written as:

8 < 3×N  ≤ 30

8 < 3N ≤ 30

Note: at most means less than or equal (≤)

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Answer:

1. The radius is 90 ft.

2. 31.4 cm.

Step-by-step explanation:

1. The way to find the radius with just the diameter, is to divide by two.

2. When finding circumference, you need to multiply the diameter by 3.14 (pi), making it 10 x 3.14.

Answer:

The radius is 90

Step-by-step explanation:

the line in the middle of the circle is the diameter so in order to find the radius you need to find half of the diameter. Half of the diameter (180) is 90 90 the radius is 90.

Answer:

Step-by-step explanation:

4x + 3y = 9

Slope of line = -4/3

Slope of perpendicular to line = ¾

Equation of perpendicular:

y-3 = ¾(x+2)

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Answer:

x = -2.

Step-by-step explanation:

2 ln(x + 3) = 0

ln(x + 3) = 0

Now ln 1 = 0 so

x + 3 = 1

x = -2.

Answer:

What is the question? It is incomplete

Step-by-step explanation:

Please mark as brainliest !!!!!

pppppllllllllllssssssss

Answer:

heres ur answer x=2

heres what i used to solve it PEMDAS

Answer:

Exact Form:  −2/7

Decimal Form: -0. 285714

We have proved that a'Σaa'M ~ χm^2.To prove the result, let's follow the given hint:

Given:

M ~ Wp(Σ, m), where M is a p × p random matrix

a ≠ 0 is a constant vector

We need to show that:

a'Σaa'M ~ χm^2

Step 1:

Note that M = Σ^(1/2)ZΣ^(1/2), where Z = [Z1, Z2, ..., Zm] is a matrix of i.i.d. multivariate normal random vectors.

Step 2:

For any vector a, we can write:

a'Ma = a'Σ^(1/2)ZΣ^(1/2)a

Step 3:

Let's define B = Σ^(-1/2)ZΣ^(1/2)a. Since Z and a are constants, B is also a constant vector.

Step 4:

Now, we can express a'Ma as:

a'Ma = a'Σ^(1/2)Σ^(-1/2)ZΣ^(1/2)a = a'Σ^(1/2)BB'aΣ^(1/2)

Step 5:

Notice that Σ^(1/2)BB'Σ^(1/2) is a symmetric matrix. Therefore, we can diagonalize it as:

Σ^(1/2)BB'Σ^(1/2) = PDP'

Where P is an orthogonal matrix and D is a diagonal matrix containing the eigenvalues of Σ^(1/2)BB'Σ^(1/2).

Step 6:

Let C = Σ^(-1/2)P'. Then, we have:

Σ^(1/2)BB'Σ^(1/2) = CC'

Step 7:

Substituting back into the expression for a'Ma, we get:

a'Ma = a'CC'a = (Ca)'(Ca)

Step 8:

Let Y = Ca. Then, Y is a p-dimensional vector.

Step 9:

Finally, we can express a'Ma in terms of Y as:

a'Ma = Y'Y

Step 10:

Since Y is a linear combination of multivariate normal random variables, Y follows a multivariate normal distribution.

Step 11:

Since Y is a p-dimensional vector and a'Ma is a scalar, a'Ma ~ χm^2.

Therefore, we have proved that a'Σaa'M ~ χm^2.

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9514 1404 393

Answer:

  C  18(2 + 3)

Step-by-step explanation:

The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...

  36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C

Answer:

52 cm²

Step-by-step explanation:

8×5=40

3×8=24

24÷2=12

40+12=52

52 cm² or 52 sq cm

The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

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Answer:

A

B

Step-by-step explanation:

Answer:

a

then

b

Step-by-step explanation:

Answer:

P= -2 1/3

Step-by-step explanation:

Answer: photo MATH

Answer:

p=-7/3=-2.333

Step-by-step explanation:

Step 1: You can rearrange the equation to get a simpler and easier form to understand what to do next. In this case, rearranging it while keeping the same question would end up in -2-(6/7*p)=0

Step 2: Simplify 6/7. That would be in getting zero as your answer, but the equation form would be -2-(6/7*p)=0. Then subtract the fraction from a whole as -2=-2/1=(-2*7)/7 while adding up the two equivalent fractions, (-2 • 7 - (6p))/7=(-6p - 14)/7.

Step 3: Pull out the like factors. So to make it easier, you would have to solve -6p - 14  =   -2 • (3p + 7). This would get you the equation at the end (-2 • (3p + 7))/7=0.

Step 4:  When a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.  Now, to get rid of the denominator, you must multiply both sides of the equation by the denominator.

Here's how:

 -2•(3p+7)

 ————————— • 7 = 0 • 7

     7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.  The equation now takes the shape :

  -2  •  (3p+7)  = 0

Since it's now time to solve each equation individually, it would be -2=0, which we know isn't true and the right answer. That leaves 3p+7=0. So subtract 7 from both sides to get 3p=-7. And with last thing to do, divide both sides by 3 to get your final answer of p = -7/3, your final answer. Hope this helps :)

The kind of error where a bank misses an opportunity to make a loan to someone who would have repaid it is known as a Type II error or a false negative.

1. Type II error: When a bank fails to grant a loan to an individual who would have been capable of repaying it, it is considered a Type II error or a false negative. This means that the bank incorrectly rejects a potentially profitable opportunity.

2. Loan evaluation process: Banks assess various factors before approving a loan, such as credit history, income stability, debt-to-income ratio, and collateral. These factors help determine the borrower's creditworthiness and ability to repay the loan.

3. Probability of error: The bank's decision-making process involves setting thresholds or cutoff points for different criteria. If the borrower's profile falls below these thresholds, the loan may be denied. However, these thresholds are not infallible and can lead to errors.

4. Factors contributing to error: There can be several reasons why a bank might miss an opportunity to grant a loan to someone who would have repaid it. Some potential factors include overly strict evaluation criteria, outdated or incomplete data, limited access to information, or human error in the decision-making process.

5. Impact and mitigation: Type II errors can result in missed business opportunities for the bank and potential benefits for the borrower. To minimize these errors, banks can continually refine their loan evaluation processes, adopt advanced data analysis techniques, leverage technology for more accurate assessments, and regularly update their risk models. Additionally, ensuring proper training and supervision of loan officers can also reduce the likelihood of such errors.

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The true statements are:

Each ticket costs $12.25. (option b)

The one-time processing fee costs $3.75. (option c)

A linear equation is an equation with a single variable raised to the power of one.

y = mx + c

m = variable cost

c = fixed cost

Fixed cost is a cost that remains constant regardless of the number of tickets bought. Variable cost is a cost that changes with the number of tickets bought.

C = 12.25n + 3.75

Where:

12.25 - variable cost - cost of each ticket. This cost increases with the number of tickets that is purchased. As more tickets are purchased, the cost increases by 12.25.

3.75 - fixed cost - one time online processing fee. This is because this payment is made once and it does not increase with the number of tickets bought.

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Answer:

-3/500, Celsius per meter

Step-by-step explanation:

Slope: \(\frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

Slope = 25-13/ 200-2200= -12/2000=  -3/500

Rate of change. Celsius per meters (?) I'm not sure about that.

Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

Converges; the series is a constant multiple of a geometric series. Option A

The given series can be written as:

\(\sum n=1 to \infty 4^{(n+1)} * 5^{(-n)\)

= \(4 * \sum n=1 to \infty (4/5)^n\)

This is a geometric series with first term a=4 and common ratio r=4/5. The series converges if and only if |r| < 1. Here, |r| = 4/5 < 1, so the series converges.

The sum of a convergent geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

Applying this formula, we get:

sum = 4 / (1 - 4/5) = 4 * 5 = 20

Therefore, the given series converges to 20.

The correct answer is option (a) Converges; the series is a constant multiple of a geometric series.

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\(y = \frac{1}{mx} \)

\(11 = \frac{1}{8m} \)

\(m = \frac{1}{88} \)

\(y = \frac{1}{ \frac{1}{88}x } = \frac{88}{x} \)

\(when \: x = 2 \\ y = \frac{88}{2} = 44\)

Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 8) ← 2 points on the line

m = \(\frac{8-0}{5-1}\) = \(\frac{8}{4}\) = 2