Twice the sum of a number of 11 is -38

Answer:

$7.5 plus $65 per hour

Step-by-step explanation:

We are trying to find the minimum she can make in one day. The minimum amount of hours she can work is 1, so find y when x=1:

y=7.5x+65

y=7.5(1)+65

y=7.5+65

The value of a is 5/9 if  y = a(x - 2)(x + 6) and (3,5) is a point on the graph.

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

A quadratic relation has the equation y= a(x - s )(x – t).

y = a(x - 2)(x + 6) and (3,5) is a point on the graph

Plug x = 3 and y = 5

5 = a(3 - 2)(3 + 6)

a = 5/9

The parabola has zeros of 4 and -2 and a y-intercept of 1

y= a(x - s )(x – t)

0= a(4 - s )(4 – t)

0= a(-2 - s )(-2 – t)

1= a(0 - s )(0 – t)

No solution.

Similarly, it can find the equation of the parabola in the remaining part,

Thus, the value of a is 5/9 if  y = a(x - 2)(x + 6) and (3,5) is a point on the graph.

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Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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(a) 40 unit have to be the number of units sold that will yield maximum revenue.

(b) The price per unit that will yield maximum revenue, will be $1.195.

(a) We have to find the number of units sold that will yield maximum revenue

Given demand function is

D(x)=130e^{-0.025x}

where is the number of units sold each week

Revenue function R(x) = xD(x)

R(x) = x∙130e^{-0.025x}

To find maximum revenue put,

R’(x) = 0

⇒d/dx(x∙130e^{-0.025x}) = 0

⇒130 d/dx(x∙e^{-0.025x}) = 0

⇒130[e^{-0.025x}+xe^{-0.025x} ∙(-0.025x)]=0

⇒130e^{-0.025x} ∙(1-0.025x)=0

⇒1 - 0.025x=0

⇒0.025x = 1

⇒x = 1/0.025

⇒x = 40units

R''(x) = 130d/d[x(e^{-0.025x}-0.025xe^{-0.025x} )]

R''(x) = 130[-0.025e^{-0.025x}-0.025e^{-0.025x}+0.00625xe^{-0.025x}]

R''(x)|x=40 = 130-0.025*40[0.050+0.00625*40]

R''(x)|x=40 = 130/e ∙(-0.025)

R''(x)|x=40 = (130*(-0.025))/e < 0

At x= 40 units, the revenue will maximize.

$0 units will yield maximum revenue.

(2) Now we have to find the price per unit that will yield maximum revenue.

D(x) = 130e-0.025x

D(40) = 130e^{-0.025*40}

D(40) = 130e^{-1}

D(40) = 130/e

D(40) = 47.82(in dollar)

Price per unit = d(40)/40

Price per unit = 47.82/40

Price per unit = $1.195

The price per unit that will yield maximum revenue, will be $1.195.

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The probability that the basketball player makes his first three-point shot on the third attempt is 0.38.

A discrete probability distribution known as a geometric distribution may be used to describe the likelihood of experiencing success for the first time following a string of failures. Up until the first success, a geometric distribution can undergo an infinite number of trials.

The number of separate trials necessary to achieve success is described by the geometric distribution,

which is a probability distribution.

In this scenario, the basketball player's three-point accuracy rate is 25%, which indicates that the probabilities of success (hitting a three-point shot) and failure (missing a three-point shot) are 0.25 and 1-p, respectively.

The likelihood that the basketball player will make his first three-point shot on the third try,

according to the geometric distribution formula, is:

P(x = 3) = (1-p)⁽³⁻¹⁾ × p

           = (0.75)²  × 0.25

           = 0.38

Hence,  there is a 38% probability that the basketball player will make his first three-point shot on the third attempt.

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Answer:

(1/2)(3 - (-3))(4 - (-5)) = (1/2)(6)(9)

= 27 square units

Answer:

21, 30 and 2.

Step-by-step explanation:

To find the mean you need to add up all the ages and divide them by however many there are.

In this case it's 27 + 13 + 16 +20 +41 + 9 = 126

126 divided by 6 = 21 so that's your answer.

Since another patient arrived we need to do 126 + 84 = 210. We need to remember that we have 7 patients now so we are going to do,

210 divided by 7 = 30.

Lastly, out of all the ages only 2 are over 30. The patient who is 41 and the new patient who is 84.

Hope that helps. x

Answer:

5.4

Step-by-step explanation:

cos(theta) = B/H

cos(75)=x/21, x=5.4

Based on the frequency table given,

a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.

b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.

The frequency table displays the number of times each value, or range of values, appears in the data-set.

where 11 weights are between 20 and 30,  and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.

This  implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.

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The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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Answer:

76%

Step-by-step explanation:

Times the decimal by 100 to get a percent

basically moving the decimal 2 spaces to the right.

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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The perimeter of the figure is 43 units.

The perimeter of a figure is the sum of the whole sides of the figure. Therefore, the figure above is a composite figure, let's find the perimeter of the shape as follows:

Hence,

Perimeter of the figure = 8 + 3 + 5 + 7 + 10 + 2 + 8

Therefore,

Perimeter of the figure = 11 + 12 + 12 + 8

Perimeter of the figure = 23 + 20

Perimeter of the figure = 43 units

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Answer:

Area = 18

Step-by-step explanation:

Trapezoid formula is Area = (a + b) * h/2

Area = 5 + 7 * 3/2

Area  = 18

True.

Here's an example statement in Python that reads an integer variables from standard input and stores it in an existing integer variable called datum:

datum = int(input("Enter an integer value: "))

This statement first prompts the user to enter an integer value by printing the string "Enter an integer value: " to the console. The input() function then reads the user's input from the console as a string. Finally, the int() function converts the string to an integer and assigns the result to the datum variable.

Note that the specific syntax and function calls may vary depending on the programming language being used, but the general concept of reading an integer value from standard input into an existing variable is applicable to most programming languages.

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Answer:

Probability Distributions

A listing of all the values the random variable can assume with their corresponding probabilities make a probability distribution.

A note about random variables. A random variable does not mean that the values can be anything (a random number). Random variables have a well defined set of outcomes and well defined probabilities for the occurrence of each outcome. The random refers to the fact that the outcomes happen by chance -- that is, you don't know which outcome will occur next.

Using probability concepts, it is found that:

a) Since \(P(A)P(B) \neq 0\), the events are not mutually exclusive.

b) 0.997 = 99.7% probability that the  can does not have a puncture or does not have a smashed edge.

Item a:

Two events, A and B, are mutually exclusive if:

\(P(A \cap B) = 0\)

In this problem:

The problem also states that the probability of neither is \(P(A \cap B) = 0.893\).

Since \(P(A)P(B) \neq 0\), the events are not mutually exclusive.

Item b:

Using Venn probabilities, the "or" probability is given by:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

With the given values:

\(P(A \cup B) = 0.96 + 0.93 - 0.893 = 0.997\)

0.997 = 99.7% probability that the  can does not have a puncture or does not have a smashed edge.

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Answer:

the awnser is C

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

Integrate from 3 to 1 and then you should get 4/3

So C.

asked:the istant of height is the same as the radius

given facts:cylindrical container with radius 3.5 inches height of rice increasing 0.5 inches per second

solve hidden given:(4.5+o.5+2)

what operation to be used: addition and subtraction

solve+4.5+05+2=6.0

chec: 6.0-4.5=1.5

Answer:

No its not

Step-by-step explanation:

13.603 is more then 13.068  

Answer:

Step-by-step explanation:

plug in 7

f(x)=3(7)+2

multiply 3 and 7 which is 21

and 2

f(x)=23.

Answer:

There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5

Step-by-step explanation:

Answer:

3:5

Step-by-step explanation:

I think that it's 3:5 because

Mixed paint:3+2=5

Yellow:3

yellow : mixed paint

3:5

Answer:

the answer is 70%

Step-by-step explanation:

if all equals 100% and theres 10 pounds that means 7 pounds is eaqual to 70%