Construct a box-and-whisker graph using the following data:

87, 94, 82, 78, 95, 91, 87, 83, 101, 83, 82, 77, 80, 102, 75

Answer:

100/60 = 42 / x

Step-by-step explanation:

Given that :

Number of dogs at shelter = 42

Capacity of shelter = 60%

Number of dogs shelter can cater for :

Let number of dogs shelter can cater for = x

60% of 42 = x

(60/100) * 42 = x

60/100 = x / 42

Reciprocal of both sides

100/60 = 42 / x

Answer:

60/100=42/x

Step-by-step explanation:

Let us consider a positive integer x. When this integer is divided by 3, 5, 7, we get the remainders of 1, 3, and 5, respectively.

The solution of this problem can be found using the Chinese Remainder Theorem (CRT).CRT is a mathematical tool that simplifies the process of finding a number that has certain remainders after division by different numbers.The first thing we must do is determine the least common multiple (LCM) of the three divisors (3, 5, and 7) since the remainders of x when divided by these divisors are given to us.

Remainder of x when divided by 3 is 1. Thus, we may write x ≡ 1 (mod 3).Remainder of x when divided by 5 is 3. Thus, we may write x ≡ 3 (mod 5).

Remainder of x when divided by 7 is 5. Thus, we may write x ≡ 5 (mod 7).LCM(3,5,7) = 105.

The CRT formula is:  x ≡ a1m1r1 + a2m2r2 + a3m3r3 (mod M)

Here, a1=1, m1=35, r1=29; a2=3, m2=21, r2=2; a3=5, m3=15, r3=2; M=105

We can find the value of x using the formula:  x ≡ 1(35)(29) + 3(21)(2) + 5(15)(2) (mod 105)

Multiplying and adding, we get:  x ≡ 1015 (mod 105)

Now, to obtain the smallest positive integer x, we will need to find the smallest positive solution of this congruence.

The remainder is equivalent to -10 modulo 105. Therefore, the smallest positive solution is 1015 + 105 = 1120.

We have x = 1120.

Therefore, the smallest positive integer x is 1120.

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Answer: C. 30%

Step-by-step explanation:

I got it right.

35% of the prospective customers surveyed would be willing to pay a maximum of $5.01 to $6 for the shop's new footlong teriyaki chicken sandwich.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Now, To find the percentage of prospective customers willing to pay a maximum of $5.01 to $6, we need to first determine how many of the 20 surveyed customers fall into that range.

Here, Let's assume that 7 of the customers fall into that range.

Hence, The percentage of customers willing to pay between $5.01 and $6 is then calculated as:

= (number of customers in range / total number of customers surveyed) x 100

= (7 / 20) x 100

= 35%

Therefore, 35% of the prospective customers surveyed would be willing to pay a maximum of $5.01 to $6 for the shop's new footlong teriyaki chicken sandwich.

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Answer:

\(\\\\\hookrightarrow 2x^{2} +2x-4\)

Step-by-step explanation:

\(\hookrightarrow (2x+4)(x-1) \\\\\hookrightarrow 2x(x-1)+4(x-1)\\\\\hookrightarrow 2x^{2} -2x+4x-4\\\\\hookrightarrow 2x^{2} +2x-4\)

Answer:

\(\huge\boxed{\bf{(2x + 4)(x - 1) = 2x^2 + 8x - 4}} \)

Step-by-step explanation:

\(\sf \to (2x + 4)(x - 1) \)

\(\sf \to x(2x + 4) + 4(x - 1) \)

\(\sf \to 2x^2 + 4x + 4x - 4 \)

\(\sf \to 2x^2 + 8x - 4 \)

\(\: \)

\(\huge\colorbox{red}{BlackPain} \)

Answer:

15 (C)

//msg added cus it was short//

Answer:

-12

Step-by-step explanation:

ds/dt = d/dt ( 1-12 t)

ds/dt = -12

When t=2

ds/dt = -12

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

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Answer:

27

Step-by-step explanation:

factors are numbers that divide exactly into a number , leaving no remainder.

then the only factor of 27 from the list is 27

As we have used the combination method to determine the number of different eight-card hands that contain exactly two suits, with four cards from each suit, which is equal to 13,462,080.

To determine the number of different eight-card hands that contain exactly two suits, with four cards from each suit, we need to use the combination method. First, we need to select two suits out of the four available suits. We can do this in 4 choose 2 ways, which is represented mathematically as ⁴C₂.

Finally, we need to combine the two sets of four cards each to form a single eight-card hand. We can do this in 8! ways, where 8! represents the total number of ways in which we can arrange the eight cards in the hand.

Therefore, using the combination method, the total number of different eight-card hands that contain exactly two suits, with four cards from each suit, is given by:

⁴C₂ x (¹³C₄) x (¹³C₄)  x 8! = (4!/(2!2!)) x (715715) x 40,320

= 13,462,080

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The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer:

4 yards saved

Step-by-step explanation:

two adjacent sides: 6 + 8 = 14

diagonal: √(6² + 8²) = √100 = 10

14 - 10 = 4

Answer:

48 and 32

Step-by-step explanation:

both numbers get rounded by 8 going up and down rounding it to 40

Answer:

a = - 1/2b + 1/6w + 2/3

Step-by-step explanation:

w= 3(2a+b) - 4

Add 4 on both sides.

w + 4 = 3(2a+b)

Divide 3 into both sides.

w/3 + 4/3 = 2a+b

Subtract b on both sides.

w/3 + 4/3 - b = 2a

Divide 2 into both parts.

w/3/2 + 4/3/2 - b/2 = a

a = w/6 + 4/6 - b/2

a = 1/6w + 2/3 - 1/2b

Answer:

a=(w-3b+4)/6

Step-by-step explanation:

w= 3(2a+b) -4

w=6a+3b-4

6a= w-3b+4

a=(w-3b+4)/6

Answer:

1. B

2.C

3.A

4.C

5. B

6.D (because all the other ones are wrong and i cant see D)

i hope this helped!! :)

Answer:

2x-2= -21

Step-by-step explanation:

Answer:

-9.5

Step-by-step explanation:

We can create an equation to represent this, where \(n\) is the missing value.

\(2n - 2 = -21\)

Now we can solve for \(n\) by isolating it on one side of the equation.

Add 2 to both sides:

\(2n - 2 + 2 = -21+2\\\\2n = -19\)

Divide both sides by 2:

\(2n\div2 = -19\div2\\\\n = -9.5\)

Hope this helped!

Answer:

3 ,1, 3

Step-by-step explanation:

Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

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Answer:

2x = 7y

Step-by-step explanation:

2 Yogurts = $7

4 Yogurts = $14

6 Yogurts = $21

8 Yogurts = $28

10 Yogurts = $35

Answer:

No solution

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation: X can only have 1 anser and -1.25 would make it negative.

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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Answer:

the answer is A

Step-by-step explanation:

Answer:

Yo tengo 10 años y eso da 1,190

Step-by-step explanation:

Answer:

3388 kg

Step-by-step explanation:

If you mean to increase by 21%, then

You may

100% + 21% = 121%

2800 x 121/100

2800 x 1.21

= 3388 kg

A closed circuit is required to carry current. If there is a break anywhere in the path, the circuit will open and no current will flow, and the metal atoms in the wire will quickly become peaceful and electrically neutral.

Current flows in a closed circuit, but electrons are left behind in an open circuit.

Imagine a gallon of water flowing through an open pipe. Water flows for a short time, but stops when all the water comes out of the pipe. If you pump water into a closed system of pipes, it will continue to flow as long as you force it to move.

Closed circuit design:

breaks are often created by design. For example, a simple light switch opens or closes the circuit that connects the light to the power source. When building a circuit, it is recommended that the battery or other power source be disconnected when the circuit is not in use. Technically, this creates an open circuit. The

extinguished flashlight is an open circuit. In the flashlight shown here, the flat black button on the bottom left controls the internal switch. A switch is nothing more than two flexible metal strips in close proximity to each other. Push the black button all the way to the right to open the switch and turn off the flashlight. The switch in the open position disconnects the bulb from the battery, creating an open circuit.So, for the light bulb in a circuit turn on when the switch is closed.

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Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.

An equation set and a set of variables that define connections between the variables make up a mathematical model, which often explains a system.

As we know,

Mathematicians are more likely than average to be left-handed, while artists are more likely than average to be left-handed.

Thus, Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.

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To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.

Then, the percentage of measurements to the right of the median would be:

(40/100) x 100% = 40%

To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:

(60/100) x 100% = 60%


Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).

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Answer:

Step-by-step explanation:

i don't care