Find the slope and the y-intercept of the line.
6x+2y=-2

The probability of picking a male from the population whose weight will be greater than 251 lbs is 0.13%.

In order to calculate the probability we need to use the formula of z-score

z = (x -μ)/ σ

here,

x = value of interest

μ = population mean

σ = population standard deviation

now adding the values into the given formula

z = ( 251 -182)/23

z =  69/23

z = 3

now after using the standard distribution table the probability of a z-score greater than 3 is 0.13%

The probability of picking a male from the population whose weight will be greater than 251 lbs is 0.13%.

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Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

18 divided by 6 equals 3

21 minus 3 equals 18

18 plus 3 equals 21

The number of T-shirts bought by the Brandywine Dance Team is 24.

The number of the T-shirts that the Brandywine Dance Team purchased is determined using basic mathematical operations of division, subtraction, addition, and multiplication.

First, the cost of the equipment is subtracted from the total cost spent by the team.  The remainder refers to the cost of the T-shirts.  Since one T-shirt costs $12, the total quantity of T-shirts bought is 24.

The total amount spent = $644

The cost of the equipment = $356

The remainder after the equipment = $288 ($644 - $356)

Unit cost of T-shirts = $12

The number of T-shirts bought = 24 ($288/$12)

Thus, the Brandywine Dance Team bought 24 T-shirts.

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How many T-shirts were purchased by the Team?

The flexible air-filled container has volume of -33 liter (A) at 20 meter in sea water.

At the surface, the pressure is 1 atm (atmosphere). As we go deeper into the sea, the pressure increases by 1 atm for every 10 meters. Therefore, at 20 meters, the pressure is 3 atm (1 atm at the surface + 2 atm for the 20 meters).

The relationship between pressure and volume is described by Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature. This means that as the pressure increases, the volume decreases, and vice versa.

Using Boyle's Law, we can calculate the volume at 20 meters:

P1V1 = P2V2

Where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume.

Plugging in the values:

(1 atm)(100 liter) = (3 atm)(V2)

Solving for V2:

V2 = (1 atm)(100 liter) / (3 atm)

V2 = 33.33 liter

Rounding off to the nearest whole number, the volume at 20 meters is 33 liter.

Therefore, the correct answer is A - 33 liter.

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The NPV of the CBCS project, using an 8% discount rate, is. \(\$21,646.77.\)

Financial value proposition of CBCS:

The financial value proposition of CBCS is based on several factors:

Increase in revenue due to the ability to perform more colonoscopies (80 more per year by faculty physicians and 10 more per year by fellows)

Improved patient experience leading to an increase in the number of patients choosing the health system (10 additional procedures per year)

Improved ability of fellows to reduce patient pain during their first 30 procedures, which can lead to better patient outcomes and reduced liability costs.

Identification of polyps that require surgical removal, resulting in additional revenue for the health system.

Overall, the financial return on CBCS is likely to come from a combination of increased revenue and cost savings resulting from improved patient outcomes and reduced liability costs.

Financial analysis in Excel:

Please see attached Excel file for the financial analysis.

IRR calculation:

The IRR of the CBCS project is 23.2%.

Payback period calculation:

The payback period of the CBCS project is 2.6 years.

CBCS project is 2.6 years.

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Answer:

38

Step-by-step explanation:

Let x be the number of pencils bought.

Let y be the number of pens bought.

Given information from the question:

x = y - equation 1

2.9y - 1.2x = 32.30 - equation 2

From here we can use the substitution method in solving simultaneous equations to find x and y. We will substitute equation 1 into equation 2.

2.9y - 1.2y = 32.30

1.7y = 32.30

y = \(\frac{32.3}{1.7} \\= 19\)

Now since we know number of pens = number of pencils,

x = 19

Total Pencils and Pens bought = x + y = 19 + 19 = 38

Answer:

19

Step-by-step explanation:

hope it helps.good day.

Answer: 6

Step-by-step explanation:

6 - 4 = 2

Im pretty sure the is the right answer! :)

Answer:

2 because

Step-by-step explanation:

2-4=2 yeah that all I got

1. The total cost for orders of 5 sandwiches and 7 sandwiches are $25 and $33

2. The total cost for orders of x sandwiches is 5 + 4x

3. The graph is attached

Given that

Delivery fee = $5

Charge per sandwich = $4.00

This means that

Total cost = Delivery fee + Charge per sandwich * sandwiches

So, we have

Total cost = 5 + 4 * sandwiches

For 5 sandwiches, we have

Total cost = 5 + 4 * 5 = 25

For 7 sandwiches, we have

Total cost = 5 + 4 * 7 = 33

In (1), we have

Total cost = 5 + 4 * sandwiches

For x sandwiches, we have

Total cost = 5 + 4x

This means that we plot the graph of  5 + 4x

See attachment

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Option C is correct- the degrees of freedom is 24.

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample. Degrees of freedom is calculated by subtracting one from the number of items within the data sample.

formula

It is a mathematical equation that tells how many values can vary and can help to determine if results are statistically significant. The most commonly encountered equation to determine degrees of freedom in statistics is df = N-1.

in the question the given sample size is 25,

to find the degree of freedom ,we subtract one from the sample size,

= sample size -1

= 25 -1

=24

so, 24 is the degrees of freedom.

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The better definition of leg include the following: D. either of the two sides that form the right angle.

In Mathematics, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.

Generally speaking, the longest side (hypotenuse) of a triangle is equal to the sum of the square of two shorter sides (legs):

a² + b² = c²

Where:

a, b, and c represents the legs, side lengths or length of sides of a right angled triangle.

In conclusion, the legs in Mathematics simply refers to the opposite side and adjacent side of a right angled triangle.

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The required match of exponents is below the description with the correct solving steps in the solution part.

The product rule is an exponent rule that states that when you multiply similar bases, the add exponents.

For example, (a²)·(a³) = a²⁺³ = a⁵

1. How many times larger is 2 x 10⁻² then 3 x 10⁻⁶

Subtract by getting the same exponent to be like terms.

2. What is the difference between 2 x 10⁻² and 3 x 10⁻⁶?

Subtract coefficients and then add the exponents.

3. If you are 400 times 2 x 10⁻² away from the sun, how far are you?

Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents.

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The solution of the given system of equations is (-2, -4).

The given system of equations is:x² + 6x + 8 = 0x + 4 = 0To solve the system using graphing, follow the given steps below:Step 1: Graph both the equations on the same coordinate axes. For this, rewrite the given quadratic equation as y = x² + 6x + 8. Then, draw the graphs of y = x² + 6x + 8 and y = -4 on the same coordinate plane. The graphs of both equations intersect at x = -2. Therefore, the solution of the system is (-2, -4).

The graph of y = x² + 6x + 8 is given below: The graph of y = -4 is a straight horizontal line passing through the point (-4, 0).The graph of both the equations on the same coordinate axes is given below: Step 2: Identify the point of intersection of the graphs. The point of intersection of the graphs is the solution of the system. Therefore, the solution of the system is (-2, -4).

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The answer is Yes. The Poisson distribution have the "memoryless" property. Poisson process is a continuous-time stochastic process which counts the arrival of randomly occurring events.

The memoryless property states that the probability of an event occurring is independent of the time since the last event occurred. This property can be proven mathematically by showing that the conditional probability of the event occurring given that it has not occurred in the last 'n' occurrences is equal to unconditional probability of event.

And therefore, we can conclude that Poisson distribution has the memoryless property. This is because the probability of a Poisson random variable taking on a value greater than or equal to n+1 (i.e. it is greater than or equal to n) is equal to the unconditional probability of it taking on a value greater than or equal to n+1.

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30ft high above the ground is the lamp.

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here, we have

BC⊥AD and DE⊥AD

∠ABC = ∠ADE(=90°)

Also,∠A=∠A

ΔABC ΔADE (AA similarity)

AB/AD = BC/DE

40/(200 + 40) = 5ft/DE

DE = 5ft×6 = 30ft

Hence, 30ft high above the ground is the lamp.

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Answer:

i would wanna say the first one

Step-by-step explanation:

∆GAS ≅ ∆IOL by rule ASA , SAA

We say that ∆GAS ≅ ∆IOL because m∠G = m∠I , m∠A = m∠L and AS = LO ( which means that these triangles are congruent under the ASA or SAA congruence postulate . )

Therefore ,

Answer:

Total number of fruits remaining =  25

Step-by-step explanation:

Let the number of

apples = 4x

bananas = 5x

Therefore

4x-2 / 5x = 2 / 3

Solve for x, cross multiply

3(4x-2) = 2(5x)

12x - 6 = 10 x

2x = 6

x = 3

Apples = 4*3 = 12

Bananas = 5*3 = 15

Apples remaining = 12-2 = 10

Total number of fruits remaining = 10+15 = 25

Answer:

\(\boxed{25 \ fruits}\)

Step-by-step explanation:

Let apples be 4x and Bananas be 5x

So, the given condition is:

\(\frac{4x-2}{5x} = \frac{2}{3}\)

Cross Multiplying

5x*2 = 3(4x-2)

10x = 12x - 6

Adding 6 to both sides

10x+6 = 12x

12x - 10x = 6

2x = 6

x = 3

Now, Fruits remaining in the bowl are:

=> 4x-2 + 5x

=> 12 - 2 + 15

=> 10+15

=> 25

The correct 4-bit combination for the decimal number 9 is 1001. To explain it in a long answer, we need to understand binary representation. In binary, each digit can either be 0 or 1, and the value of the digit depends on its position.

The rightmost digit represents the value 2^0 (which is 1), the next digit to the left represents the value 2^1 (which is 2), the next represents 2^2 (which is 4), and so on. To convert decimal number 9 to binary, we can start by finding the highest power of 2 that is less than or equal to 9, which is 2^3 (which is 8). We can subtract 8 from 9, and the remainder is 1. This means the leftmost digit in the binary representation is 1.

We repeat the same process with the remainder, which is 1, and find the highest power of 2 that is less than or equal to 1, which is 2^0 (which is 1). We subtract 1 from 1, and the remainder is 0. This means the rightmost digit in the binary representation is 0. Thus, the binary representation of decimal number 9 is 1001, which is the correct 4-bit combination.

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Answer:

-1,1 +  2,4 it think

Answer:

11.8cm²

Step-by-step explanation:

The area of the regular pentagon is expressed as;

A = pa/2

p is the perimeter of the pentagon

a is the apothem

Since p = 5s

s is the side length, hence;

A = 5sa/2

Get the side length s;

central angle = 360/5

central angle = 72degrees

angle in the right angle triangle =72/2 = 36degrees

Using SOH CAH TOA

sin 36 = x/2

x = 2sin36

x = 1.1755

s = 2x

s = 2.35cm

Get the area

A = 5(2.35)(2)/2

A = 5(2.35)

A = 11.8cm²

Hence the area of the regular pentagon is 11.8cm²

Answer:

11.8cM

Step-by-step explanation:

The expression is already in decimal form.

0

3×10^9

The value of 9 ÷ 5 3 (9 divided by 5 divided by 3) is 1 remainder 1.To determine how many groups of 5 3 3 5 (5 divided by 3) are in 1 11, we can use the number line to visualize the division.

Starting at 0 on the number line, we can count in increments of 5 3 3 5 (5 divided by 3) until we reach or exceed 1 11.

On the number line, we can observe that there are two groups of 5 3 3 5 (5 divided by 3) that fit into 1 11. This means that 1 11 can be divided into two groups of 5 3 3 5.

Therefore, the answer to the question "How many groups of 5 3 3 5 (5 divided by 3) are in 1 11?" is 2.

Now, evaluating the expression 9 ÷ 5 3 (9 divided by 5 divided by 3), we perform the division from left to right:

9 ÷ 5 = 1 remainder 4

Then, taking the remainder 4 and dividing by 3:

4 ÷ 3 = 1 remainder 1.

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Answer:

4,978 because after 3 digits you have to put a coma

Answer:

4,978

Step-by-step explanation:

The amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

For this case, we're given that:

Cost of two shirts originally is $28.99 and $30.29

30% is off on each of them, so we get:

New price of each shirt = Old price of each shirt - 30% of old price of each shirt

New price of each shirt = \(28.99 - \dfrac{28.99}{100} \times 30\) and \(30.29- \dfrac{30.29}{100} \times 30\)

This sums up to $41.496

Now, at this price, there'd be application of 10% additional discount.

That will make the new price as:

\(41.496 - \dfrac{41.496}{100} \times 10 =37.3464\)

Now, on this price, there'd be applied 6% sales tax

So, the amount he paid for 2 shirts = discounted price + 6% tax on discounted amount

= \(37.3464 + \dfrac{37.3464}{100} \times 6 \approx 39.59 \: \rm dollars\)

Thus, the amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

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Given:-

Sum of four consecutive odd integers.

To find the required expression.

So the first term is n.

So the second term is n+2.

So the third term is n+4.

So the fourth term is n+6.

So the sum of terms is,

Where n is an odd integer.

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

The range is 250 calories and the standard deviation is 57.5 calories.

In a neighbourhood donut shop, one type of donut has 440 calories, five types of donuts have 350 calories, seven types of donuts have 530 calories, five types of donuts have 330 calories, and five types of donuts have 580 calories

The formula for the range is given by;`

range = maximum value - minimum value`

The minimum value in this case is 330 and the maximum value is 580Therefore, `range = 580 - 330 = 250`

The formula for standard deviation is given by;`s = sqrt [Σ(x - µ)² / N]`

where Σ is a symbol of summation, x is the value, µ is the mean, N is the number of data and s is the standard deviation.

Calculate the mean (µ)`µ = Σ fx / N = 11960 / 23 ≈ 520.87`Substitute the values in the formula above and calculate;

Calories (x)fx(x - µ)² 3301750(-190.87)² 3501750(-170.87)² 440440(-80.87)² 5303710(9.13)² 5802900(59.13)²Total = 352191.55`s = sqrt (352191.55 / 23)≈ 57.5 calories

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Answer 2/9 or two out of nine

bro no cap i recommend you learn this this is like the easiest math it worle like if there was out of 1 to 1000000 that right there is like 20 thats kinda low my mqns but really you multiply 2/3 on the numerator and denominater by 3 giving you 8/9 - 6/9 answer 2/9

Answer:

60%

Step-by-step explanation:

54 /90  x 100% = 60%

Answer:

60 percent

Step-by-step explanation:

please mark as brainliest

Answer:

C. y=2x-48

Step-by-step explanation:

A. y=48x−2

B. y=48x+2

C. y=2x−48

D. y=2x+48

Profit per hotdog=$2

Quantity=x

Cost of hotdog, buns and mustard=$48

Find the equation profit earned by the hotdog stand for x hot dog sold

Total Profit(y)=(units profits*quantity)-cost

=$2*x-$48

y=2x-48

Answer:

C. y=2x−48

Step-by-step explanation:

did it on edge 2020