I don't know how to do 2x-y=3

Answer: 12

Step-by-step explanation:

There is a total of 20 students in the classroom.

3 out of 20 did not make their homework, this means that 17 has done their homework.

To calculate the probability of choosing a student at random and that the student has made the homework (H) you have to calculate the quotient of students that made the homework ("success") by the total number of students

Multiply it by 100 to express the result as a percentage

The probability of choosing a student at random and that his student has made his homework is 85%

The area of the shape given above which is the addition of area of semi circle and the area of the triangle prism =660.48 ft²

To calculate the area of a triangular prism the formula given below is used:

Area of a triangular prism = ab+ 3bh

where;

a = side = 20ft

b= base = 10 ft

h = height = 12 ft

Area = 20×10 + 3×10×12

= 200 + 360

= 560ft²

The area is semi circle = πr²/2

π = 3.14

R = 16/2 = 8ft

area = 3.14× 8²/2

= 200.96/2

= 100.48 ft²

Area of the shape = 560+100.48 = 660.48 ft²

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Answer:

2.2

Step-by-step explanation:

To find a, you use a formula called the law of cosines:

The law of cosines tells us:

a^2 = b^2 + c^2 - 2bc cosA

So lets plug in the values:

a^2 =  4^2 + 3^2 -2(4)(3)cos(32)

a^2 = 25-24cos32

a^2 is roughly equal to 4.97

therefore a roughly equal to 2.2

Answer: The answer is A. 2.2. Hoped this helps! :)

Step-by-step explanation:

Answer:

sino me quivoco es 1/53 espero aber ayudado

Answer:

The answer is 39!

Step-by-step explanation:

=3[(3)3+4]

=3(9+4)

=3(13)

=39

Answer:

24

Step-by-step explanation:

The sum of the three angles in a triangle is always 180 degrees.

Let x be the measure of the third angle.

Then we have:

102 + 54 + x = 180

Simplifying the left side:

156 + x = 180

Subtracting 156 from both sides:

x = 180 - 156

x = 24

Therefore, the measure of the third angle is 24 degrees.

A line is vertical, then all points lie on it have the same x-coordinates

If line L is a vertical line and passes through the point (a, b), then its equation is

Since the given line is a vertical line and passes through the point (-5, -3)

That means a = -5

Then its equation is

To design the shear stirrups for the given rectangular singly reinforced concrete beam, we need to consider the beam dimensions, loads, material properties, and design codes.

Distributed service dead load = 3.00 kips/ft

Distributed live load = 2.00 kips/ft

Beam length (span) = 20 ft

Beam width (b) = 10 in

Total height (h) = 24 in

Cover distance = 3 in

stirrups

Concrete compressive strength (f'c) = 4,000 psi

Steel yield strength (fy) = 60,000 psi

The design of shear stirrups involves calculating the maximum shear force and determining the required spacing and arrangement of stirrups to resist this force. The specific steps and calculations for the design depend on the beam's geometry and loading conditions.

To determine the shear force, we need to calculate the factored loads, determine the maximum shear, and consider the contribution of live load and dead load. Once the maximum shear force is known, the spacing and arrangement of stirrups can be determined using design guidelines, such as the ACI (American Concrete Institute) code.

To perform the detailed design calculations and determine the required stirrup spacing and zones, it is recommended to consult structural design textbooks or relevant design codes, such as the ACI 318, which provide step-by-step procedures and guidelines for shear reinforcement design in concrete beams.

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The measure of central tendency which best describes the data is mode.

What is measure of central tendency?

A measure of central tendency, also known as a measure of centre or a measure of central placement, is a summary statistic that seeks to summarise an entire collection of data by using a single number that corresponds to the middle or centre of the distribution.

We are given the data as

{38, 42, 45, 39, 48, 46, 39, 42, 45, 72}

Since, the data contains an outlier, therefore the best measure to describe the data is mode because mode is not affected by an outlier.

Hence, the measure of central tendency which best describes the data is mode.

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Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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The average speed, in miles per hour, of car X for the 2-hour trip is 56 mph.

The average speed, in miles per hour, of car x for the 2-hour trip is 56 mph.Let’s first identify what the given is.The problem states that car X and car Y started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. The problem also states that car X traveled, on average, 8 miles per hour faster than car Y.So we have two cars, X and Y, that traveled in opposite directions.

In this problem, we are asked to find the average speed of car X for the 2-hour trip.Let’s use the formula that relates distance, speed, and time. For any given problem, this formula will help us determine which variable we need to solve for.distance = speed × timeSo, in this problem, we know the time and distance, but we need to find the speed.

We can use the information given in the problem to set up an equation for the two cars.Using the formula, we can set up the following equation for car X:dX = speedX × 2Using the same formula, we can set up the following equation for car Y:dY = speedY × 2Since car X traveled, on average, 8 miles per hour faster than car Y, we can write this as speedX = speedY + 8.

Now we know that the sum of the distances that car X and car Y traveled is equal to the total distance that separates them. Using this information, we can set up the following equation:dX + dY = 208To solve for the speed of car X, we need to isolate speedX in the equation that relates speedX and speedY. We can do this by substituting the equation for dX and dY in the equation that relates speedX and speedY.

This gives us the following equation:(speedY + 8) × 2 + speedY × 2 = 208Simplifying this equation, we get:4 speedY + 16 = 2084 speedY = 192speedY = 48 mphNow that we know the speed of car Y, we can use the equation for speedX and speedY to find the speed of car X. This gives us:speedX = speedY + 8 = 48 + 8 = 56 mph.

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Answer:

the third option

Step-by-step explanation:

to find this answer, we can simplify the point-slope form

\(y - 3 = \frac{1}{2}(x-1)\\ y = \frac{1}{2}x-\frac{1}{2}+3\\ y = \frac{1}{2}x - \frac{1}{2}+\frac{6}{2} \\ y = \frac{1}{2}x + \frac{5}{2}\)

Answer:

The correct answer is -1/13

Hope this helps!! :)

Answer:

b 1

Step-by-step explanation:

Answer:

1.370025503 ×10^27

Step-by-step explanation:

Use a second order difference scheme while adhering to the finite difference procedure we discussed in lecture, the rewritten initial value is cos(t)+C.

The k initial differences of a sequence or a function are involved in a difference equation of order k, just as the k first derivatives of a function are related in a differential equation of order k.

The two aforementioned relationships enable the transformation of a recurrence relation of order k into a difference equation of order k and, in the other direction, a difference equation of order k into a recurrence relation of order k. Every transformation is the inverse of every other transformation, and the sequences that satisfy the recurrence relation are the exact ones that provide the solution to the difference equation.

Calculations:

syms y(t) z(t)

eqns = [diff(y,t)==z, diff(z,t)==-y];

[ySol(t),zSol(t)] = dsolve(eqns)

ySol(t) = C

cos(t)+C

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It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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Answer:

25/12

Step-by-step explanation:

1/2+3/4

You have to find a common denominator so you multiply 2 to 1/2 which gives you 2/4 so now you add 2/4+3/4 which gives you 5/4. You don't add the denominators.

Next you have to add 5/4+5/6. Again, you have to find a common denominator. since 3*4 is 12 and 2*6 is also 12 then you multiply them. You should end up with 15/12+10/12. 15+10 is 25 so your answer is 25/12.

I'm sorry if I Explained it bad but I hope this helps.

Answer:

117-30=87

117-30+30=87+30

y=117

Answer:

11x-5

Step-by-step explanation:

The probability that all the people will get their own coats back is 1/7.

Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates sureness. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A basic model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly plausible; the likelihood of "heads" rises to the likelihood of "tails"; and since no different results are conceivable, the likelihood of all things considered "heads" or "tails" is 1/2.

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Answer:

There are 192 employees in the company.

Step-by-step explanation:

Let x be the total number of employees

Use ratio and proportion

\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)

x = 192

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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Answer:

6/7, -6/7

Step-by-step explanation:

Answer: y = 2x + 6

Step-by-step explanation:

Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.

m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.

The line also goes through (-3, 0) using the slope.

To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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Answer:

n = 11/3

Step-by-step explanation:

n = certain number

6n - 1 = 21

6n = 22

n = 22/6 or 11/3

Answer:

Step-by-step explanation:

choices:

W c Z

R c W

0 E Z

∅ c R

{0, 1, 2, ...} c_ W

-2 E W

Suppose we have a bag containing 3 red marbles and 2 blue marbles. We draw a marble out of the bag without looking, record the color, and then put the marble back in the bag. We repeat this process 4 times, drawing one marble at a time.

Let's define the following events:

The probability of event A occurring is 3/5, or 60%. This is because there are 3 red marbles out of a total of 5 marbles.

The probability of event B occurring is 2/5, or 40%. This is because there are 2 blue marbles out of a total of 5 marbles.

Now, suppose we want to know the probability of event B occurring, given that event A has already occurred.

In other words, we want to know the probability of event B occurring, but we are only considering cases where event A has already happened.

This is a conditional probability, and the condition is that event A has occurred.

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