Can you pls help me with this question pls

A person tosses a coin 15 times. In how many ways can he get 3 heads? The answer is 455 ways.

To find the answer, we can use the formula for combinations, which is:
C(n, k) = n! / (k! * (n-k)!)
Where n is the total number of tosses, and k is the number of heads we want to get.
In this case, n = 15 and k = 3, so we can plug these values into the formula:
C(15, 3) = 15! / (3! * (15-3)!)
C(15, 3) = 15! / (3! * 12!)
C(15, 3) = (15 * 14 * 13 * 12!)/ (3! * 12!)
C(15, 3) = 455
So there are 455 ways to get 3 heads when tossing a coin 15 times.

Learn more about  probability theory and combinatorics here:https://brainly.com/question/29601156

#SPJ11

Answer: $972.7972 or $973

To find the amount of money Mary should deposit each quarter, we will use the following equation:

Where:

P = deposit made n times

i = is the interest rate r compounded m times per year

Since Mary wants to invest every three months, that would be 4 times per year and have the interest rate of 2% = 0.02,

The amount she wants to save is A = $12000, and she will invest 12 times, n = 12.

Substituting these to the formula and we will have:

This means that Mary has to pay approximately $972.7972 or $973 each quarter.

This declaration is True.

The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.

The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.

What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?

Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.

Learn more about Sampling distribution at:

https://brainly.com/question/13501743

#SPJ4

The given question is incomplete, complete question is:

The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter

Answer:

the answer for your question is "It's a cuboid"

Answer: Rectangular Prism

Step-by-step explanation:

Rectangular faces ✔️

8 vertices (4 on each side) ✔️

Solid figure ✔️

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve :

therefore, the correct choice is :

Computers have memory and storage that is very helpful in evaluating functions such as rational functions. To evaluate a rational function 2x² + 3x - 1 f(x) = 5x³ + 7x² - 4x +8 at x = a + 0, we use a computer as follows:

Step 1: We substitute the value of a + 0 for x in the rational function f(x). This means that we replace x with a + 0 to get f(a + 0). This gives us the function 2(a + 0)² + 3(a + 0) - 1 / 5(a + 0)³ + 7(a + 0)² - 4(a + 0) + 8.

Step 2: We simplify the function by multiplying out the brackets and combining like terms to get f(a + 0) in the form a polynomial in a. This gives us the polynomial 2a² + 3a - 1 / 5a³ + 7a² - 4a + 8.

Step 3: We use the computer's memory and storage to store the values of the coefficients of the polynomial in a and the value of a. This makes it easier to perform the calculations required in step 4.

Step 4: We use the computer's arithmetic operations to evaluate the polynomial at the value of a stored in memory. This gives us the value of the rational function 2(a + 0)² + 3(a + 0) - 1 / 5(a + 0)³ + 7(a + 0)² - 4(a + 0) + 8 at x = a + 0.

Know more about rational functions here:

https://brainly.com/question/27914791

#SPJ11

Answer:

2 so b is the answer

Step-by-step explanation:

The answer to your question is 38.6

The coordinates of the H are H(-260,-11).

According to the statement

we have given that the mid point value GH are (−132,−6) and the coordinates of one endpoint are G(−4, 1). and we have to find that the coordinates of H.

So, For this purpose, we know that the

Midpoint formula is a mathematical equation that is used to locate the halfway point between two data points.

So, The given points are:

GH(−132,−6) and the G(−4, 1).

The midpoint of the GH are

\(GH = (\frac{x_{1} +x_{2}}{2} , \frac{y_{1} + y_{2} }{2} )\)

Substitute the values in it then

\((-132,-6) = (\frac{-4 +x_{2}}{2} , \frac{1 + y_{2} }{2} )\)

now compare it then

-4+x/2 = -132 and 1+y/2 = -6

x -4 = -264 and 1+y = -12

x = -260 and y = -11.

So, The coordinates of the H are H(-260,-11).

Learn more about Midpoint formula here

https://brainly.com/question/5566419

#SPJ1

The 90% confidence interval for the true mean breaking strength is (6.98, 12.52) pounds.

To construct a confidence interval, we can use the sample mean and the t-distribution.

First, we calculate the sample mean breaking strength. Adding up the four values and dividing by the sample size of four gives us a sample mean of (7 + 10 + 11 + 12) / 4 = 40 / 4 = 10 pounds.

Next, we need to calculate the standard deviation of the sample. To do this, we calculate the sample variance by taking the sum of the squared differences between each value and the sample mean, and then dividing by the sample size minus one. The squared differences are (7 - 10)^2 = 9, (10 - 10)² = 0, (11 - 10)² = 1, and (12 - 10)² = 4.

Summing these squared differences gives us 9 + 0 + 1 + 4 = 14. Dividing by (4 - 1) gives us a sample variance of 14 / 3 ≈ 4.67. Taking the square root of the sample variance gives us the sample standard deviation, which is approximately √4.67 ≈ 2.16 pounds.

Using the sample mean, sample standard deviation, sample size, and the t-distribution with a confidence level of 90%, we can calculate the margin of error. With a sample size of four, the degrees of freedom is (4 - 1) = 3. Consulting the t-distribution table or using statistical software, we find that the t-value for a 90% confidence interval with 3 degrees of freedom is approximately 2.353.

The margin of error is then calculated by multiplying the t-value by the standard deviation divided by the square root of the sample size. In this case, the margin of error is 2.353 * (2.16 / √4) ≈ 3.48 pounds.

Finally, we can construct the confidence interval by subtracting and adding the margin of error to the sample mean. The lower bound is 10 - 3.48 ≈ 6.98 pounds, and the upper bound is 10 + 3.48 ≈ 12.52 pounds.

Therefore, the 90% confidence interval for the true mean breaking strength is approximately (6.98, 12.52) pounds.

Learn more about Confidence intervals

brainly.com/question/32546207

#SPJ11

To determine whether a critical point is a relative minimum or maximum using concavity, we need to examine the second derivative of the function at the critical point.

If the second derivative is positive, then the function is concave up, meaning it is shaped like a bowl opening upwards. At a critical point where the first derivative is zero, this indicates a relative minimum, as the function is increasing on either side of the critical point.

On the other hand, if the second derivative is negative, then the function is concave down, meaning it is shaped like a bowl opening downwards. At a critical point where the first derivative is zero, this indicates a relative maximum, as the function is decreasing on either side of the critical point.

If the second derivative is zero, then the test is inconclusive and further analysis is needed, such as examining higher order derivatives or using other methods such as the first derivative test.

Therefore, the concavity test is a useful method for determining the nature of critical points and whether they represent a relative minimum or maximum.

To learn more about concavity click on,

https://brainly.com/question/29157335

#SPJ4

Complete question is:

What we need to examine for a method for determining whether a critical point is a relative minimum or maximum using concavity.

Answer:

#3- a^2 +2ab +b^2

#4- a^2 -b^2

Step-by-step explanation:

Answer:  # 4.) 9.4

#5.) 10.2 cm  

#6.) 5 inches .

Step-by-step explanation: Assuming that a right triangle is expected, use the Pythagorean Theorem to calculate the third side: a² + b² = c²

\(5^{2}+8^{2}=89\)  Then take the square root of 89. A calculator is handy for most of these!

√89 = 9.433981 .  Round to 9.4

\(2^{2}+10^{2}=104\)

√104 = 10.1980  Round to 10.2 Remember to include the units, cm in the answer.

Memorize this one:

Given side lengths of 3 & 4, the hypotenuse is 5!

3² + 4² = 5²   Called a "Pythagorean Triple"

9 + 16 = 25

The square on the hypotenuse is a perfect square of 5

No calculator necessary, and you are likely to see this ratio in other questions.

We know that

• Gemma's dinner cost $5 more than her cousin's.

• Their combined bill was under $25.

Based on the given information, we express the following

Where G is Gemma and C is her Cousin.

Hence, the inequality that represents this situation is

On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.

In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve

If an airplane flies a total distance of 450km in 3/4 hours, the plane is traveling at an average speed of 600 kilometers per hour.

The average speed refers to the quotient of the total distance divided by the total time used by the airplane to cover the distance.

Based on the distance, time, and speed equation, we can state that there exists an equation relationship, which is given as distance = time x speed.

The total distance flown by airplane = 450 kilometers

The total time used by the airplane to travel the distance = ³/₄ hours or 0.75 hours

Thus, the average speed of the airplane is 600 kilometers per hour (450 ÷³/₄).

Learn more about distance, time, and speed at brainly.com/question/26046491.

#SPJ1

a) r1 = 3

b) The vector form of the equation of the plane passing through P, Q, and R is 20x + 8y - 34z - 66 = 0.

a) To find PQ⋅PR, we first need to calculate the vectors PQ and PR.

PQ = Q - P = (-7, -3, 3) - (1, -2, 5) = (-8, 1, -2)

PR = R - P = (r1, 2, -1) - (1, -2, 5) = (r1 - 1, 4, -6)

Now, we can calculate the dot product:

PQ⋅PR = (-8, 1, -2) ⋅ (r1 - 1, 4, -6) = -8(r1 - 1) + 1(4) + (-2)(-6) = -8r1 + 8 + 4 + 12 = -8r1 + 24

Since PQ⋅PR = 0 (as PQ and PR are perpendicular), we can solve the equation:

-8r1 + 24 = 0

-8r1 = -24

r1 = -24 / -8

r1 = 3

b) Given that PQ and PR are linearly independent, we can express the equation of the plane passing through the three points P, Q, and R using the point-normal form of the plane equation. The normal vector of the plane is the cross product of PQ and PR:

PQ×PR = (-8, 1, -2) × (3 - 1, 4, -6) = (-8, 1, -2) × (2, 4, -6) = (12 + 8, -4 + 12, -32 - 2) = (20, 8, -34)

The vector form of the equation of the plane is:

20(x - 1) + 8(y + 2) - 34(z - 5) = 0

20x + 8y - 34z - 66 = 0

Therefore, the vector form of the equation of the plane passing through P, Q, and R is 20x + 8y - 34z - 66 = 0.

Using the cross product of PQ and PR, we obtain the normal vector of the plane. By applying the point-normal form of the plane equation, we express the equation of the plane as 20x + 8y - 34z - 66 = 0.

Learn more about  vectors here:

https://brainly.com/question/24256726

#SPJ11

Answer

15+5Sqrt 7/2

bih0

A graph which represents the inequality y is less than negative one-third times x plus 1 is shown in the image below.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

In order to determine and plot the graph which represents the inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than or equal to one-third times x plus 1 ⇒ y < x/3 + 1.

Next, we would use an online graphing calculator to graphically solve the given inequality.

Read more on inequality here: brainly.com/question/12952773

#SPJ1

Answer:

B

Step-by-step explanation:

The graph shows the answer accurately

a) To find the volume of the torus using the shell method, the integral can be set up as ∫2πy(2πr)dy.

b) To find the volume of the torus using the washer method, the integral can be set up as ∫π(R²-r²)dx.

c) The volume of the torus can be found by evaluating one of the two integrals obtained in parts (a) and (b).

a) The shell method involves considering cylindrical shells with height dy and radius y. Since the torus is formed by revolving a circle of radius 3 centered at (8,0) about the y-axis, the radius of each shell is y and the height is 2πr, where r is the distance from the y-axis to the circle. Therefore, the integral to find the volume of the torus using the shell method is ∫2πy(2πr)dy.

b) The washer method involves considering infinitesimally thin washers with inner radius r and outer radius R. In the case of the torus, the inner radius is the distance from the y-axis to the circle, which is y, and the outer radius is the radius of the circle, which is 3. Therefore, the integral to find the volume of the torus using the washer method is ∫π(R²-r²)dx.

c) To find the volume of the torus, one of the two integrals obtained in parts (a) and (b) can be evaluated. The specific integral to evaluate depends on the chosen method (shell or washer). By substituting the appropriate values into the integral and evaluating it, the volume of the torus can be calculated.

Note: The specific calculations to find the volume of the torus and the corresponding numerical result were not provided in the question, so the final answer in cubic units cannot be determined without further information.

Learn more about washer method here:

https://brainly.com/question/29677923

#SPJ11

Answer: 1 1/24

Step-by-step explanation:

2/3 - 3/8 = 25/24. Reduce it and you get 1 1/24

Answer:

The unit price is $20.50

Step-by-step explanation:

The coach paid $246 for 12 basketball uniforms

246/12 = 20.5

Answer:

Step-by-step explanation:

$20.50

246 ÷ 12= 20.5

so each uniform costs $20.50?

Check the picture below.

so we only want the area in pink.

\(\stackrel{\textit{left and right}}{2(4)(11)}~~ + ~~\stackrel{\textit{front and back}}{2(4)(11)}\implies \text{\LARGE 176}~cm^2\)

The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.

The formula to calculate the volume of a pyramid is V = (1/3)Bh,

Where B is the area of the base and h is the height.

In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².

The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:

V = (1/3) * base area * height.

In this case, the base edge is 9 units and the height is 48 units.

First, find the base area:

A = side * side = 9 * 9

= 81 square units.

Next, calculate the volume:

V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.

For more related questions on square-based pyramid:

https://brainly.com/question/16492951

#SPJ11

Answer: length*width

Step-by-step explanation:

The base of a cube is a square. As long as you can find the area of a square, you can find the base of a cube. A=Area. A=length*width or A=lw. This works the same for rectangular prisms, but with rectangles AND squares.

Answer:

y = -1/2x

Step-by-step explanation:

Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.

Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b   into   y = mx + 0. Since it's 0, let's just drop it out of our equation.

So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x

It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.

To calculate the cost of driving a diesel tractor trailer truck for 175.0 miles, we need to determine the number of gallons of fuel required and then multiply it by the cost per gallon.

Calculate the number of gallons of fuel needed. Given that the truck gets 8.500 miles per gallon, we divide the total distance (175.0 miles) by the fuel efficiency: 175.0 miles / 8.500 miles per gallon

= 20.59 gallons (approximately)

Calculate the cost of the fuel.Since diesel fuel costs $3.599 per gallon, we multiply the number of gallons needed by the cost per gallon: 20.59 gallons x $3.599/gallon = $73.89 (approximately) Therefore, it will cost you approximately $73.89 to drive the diesel tractor trailer truck for 175.0 miles, assuming it gets 8.500 miles per gallon and diesel fuel costs $3.599 per gallon.

To know more about number visit:

https://brainly.com/question/33311228

#SPJ11

The largest discrepancy between experimental and expected probability can be determined by comparing observed frequencies of the outcomes with expected probabilities for each face of the cube.

To calculate the expected probabilities, we divide the number of favorable outcomes (1 for each face) by the total number of possible outcomes (6 for a standard cube). Thus, the expected probability for each face is 1/6 or approximately 16.67%.  For example, let's say the observed frequencies are as follows: Face 2 (3 occurrences), Face 4 (5 occurrences), Face 6 (4 occurrences), Face 8 (6 occurrences), Face 10 (2 occurrences), and Face 12 (4 occurrences). The observed probabilities can be calculated by dividing the observed frequencies by the total number of trials (in this case, the sum of all observed frequencies, which is 24).

Next, we calculate the difference between the observed probabilities and the expected probabilities for each face. We find the absolute value of each difference to consider both overestimations and underestimations.In this case, let's assume the largest absolute difference is 0.07. To convert the discrepancy to a percentage form, we multiply the largest absolute difference by 100.

In conclusion, the largest discrepancy between the experimental and expected probability in this experiment is 7% when rounded to the nearest whole number.

To learn more about discrepancy click here:

brainly.com/question/31669142

#SPJ11

Answer:

is the same because when you add the fraction -3/10 + 4/10 you gonna have to add -3 +4 because since their denominator is the same (10) we don´t have to solve anything.

Step-by-step explanation:

don´t forget to brainllest!:)

Amy will choose the second restaurant to purchase pizza. Because the second one is cheaper.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given,

the first restaurant charges a delivery fee of $6 for the entire purchase and $13 per pizza.

The second restaurant has no delivery fee and charges $16 per pizza.

And Amy will choose between two restaurants to purchase pizzas for her party.

The cost of one pizza of the first restaurant:

Cost = delivery fee + price of one pizza

        = $6 + $13

         = $19

The cost of one pizza of the second restaurant:

Cost = delivery fee + price of one pizza

          = $0 + $16

         = $16

And 16< 19

The second restaurant is cheaper.

Therefore, Amy will choose the second restaurant to purchase pizza.

To learn more about the addition;

brainly.com/question/29464370

#SPJ1