ABC is a right triangle. Find the length of x, the altitude of ABC. ​

Answer:

g

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Mean is the average

Add up all the values and divide by the numbers there are.

In this case, divide by 9.

Answer:  False

Explanation:

We can use a counterexample to see why this is false.

|38| = 38

We see that both input and output are the same value, so there's no way it can be larger than itself.

You can pick any positive number you want to set up a counterexample.

Picking negative values won't work to set up a counterexample.

The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.

The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.

To know more about trapezoidal rule,

https://brainly.com/question/17218343

#SPJ4

Therefore, the estimated difference between the cube roots of 343 and 345.1 is approximately 0.0189.

To estimate the difference between the cube roots of 343 and 345.1 using linear approximation, we can use the fact that the derivative of the function f(x) = ∛x is given by f'(x) = 1/(3∛x^2).

Let's start by calculating the cube root of 343:

∛343 = 7

Next, we'll calculate the derivative of the cube root function at x = 343:

f'(343) = 1/(3∛343^2)

= 1/(3∛117,649)

≈ 1/110.91

≈ 0.0090

Using the linear approximation formula:

Δy ≈ f'(a) * Δx

We can substitute the values into the formula:

Δy ≈ 0.0090 * (345.1 - 343)

Calculating the difference:

Δy ≈ 0.0090 * 2.1

≈ 0.0189

To know more about cube roots,

https://brainly.com/question/30189692

#SPJ11

The area under the standard normal distribution curve between z = 1 and z = 1.73 is 0.1169 (rounded to three decimal places).

To find the area under the standard normal distribution curve between the z-scores of 1 and 1.73, we need to calculate the cumulative probability or area under the curve.

Using a standard normal distribution table or a calculator, we can find the corresponding probabilities for each z-score.

For z = 1:

The cumulative probability or area to the left of z = 1 is approximately 0.8413.

For z = 1.73:

The cumulative probability or area to the left of z = 1.73 is approximately 0.9582.

To find the area between the two z-scores, we subtract the cumulative probability of the lower z-score from the cumulative probability of the higher z-score.

Area = 0.9582 - 0.8413 = 0.1169

Therefore, the area under the standard normal distribution curve between z = 1 and z = 1.73 is 0.1169 (rounded to three decimal places).

The question should be:

The values missed in the question are z = 1, z = 1.73

To learn more about standard normal distribution: https://brainly.com/question/13781953

#SPJ11

Answer:

\(\frac{1}{18}\)

Step-by-step explanation:

Given:

Flavors of ice cream are vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip.

Number of scoops can be 1, 2 or 3.

To find: probability of someone choosing cookies 'n cream ice cream with 2 scoops

Solution:

Probability refers to chances of occurrence of some event. Two events A and B are said to be independent if probability of one event does not depend on the probability of the other event.

For such events,

P(A and B)= P(A)×P(B)

Probability = number of favourable outcomes/Total number of outcomes

In the given question, cookies 'n cream ice cream with 2 scoops can be in a cone or a cup.

Therefore,

probability of someone choosing cookies 'n cream ice cream with 2 scoops =( probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cup )+ (probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cone )

= \(\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )+\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )\)

=\(=\frac{1}{36}+\frac{1}{36}\\=\frac{2}{36}\\=\frac{1}{18}\)

Therefore, the standard error of the mean, σ= 2.53 (approx).

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.

Given: A simple random sample of 10 items resulted in a sample mean of 25.

The population standard deviation is = 8.

We have to find out the standard error of the mean, σ/Sample Size n,

so we will first calculate σ as;

σ = Population standard deviation = 8

Sample Size n = 10

Substituting values in the formula to find the standard error of the mean, we get;σ/√n = 8/√10 = 2.53 (Round off the value to two decimal places)

To know more about   standard error :

https://brainly.com/question/13179711

#SPJ11

Answer:

D

Step-by-step explanation:

Notice how it goes down one unit and right one unit. Thats how you get the slope (-x) and then then the +9 is the intercept of the y-axis which you can see is where the graph is starting here.

Answer: D

Step-by-step explanation:

\(f(3)=5(-3)-1=-16\\\\\\g(3)=2(-3)^{2}+1=19\\\\(f\times g)(3)=-16 \times 19=\boxed{-304}\)

Answer:

C.

Step-by-step explanation:

The time it take to paint this cone if it can be painted at the same rate is 4.21 minutes.

The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a shape with a curved base and surface is equal to the sum of the two areas.

Given:

Base area = 49π in²

h= 8 inches

So, area of a circle, A = πr^2

r = √(A/π).

r = √(49π/π)

r = 7 in.

Now, they doubled cone has a base area

= 2 x 49 in²

= 98 π in²

Then, r = √(98π/π)

r = 7√2 inch

Thus, the time taken

= TSA (R= 7) / TSA (r= 7√2) x2.5

= πR(l+ R) / πr(l+r)

= 14(4√2+7)π/105π x 2.5

= 4.21 min

Learn more about Total Surface area here:

https://brainly.com/question/8419462

#SPJ1

The sale price of the shoes is $45.

Your friend bought a new pair of shoes that had a regular price of $75. The regular price is the original or full price of the item before any discounts or promotions are applied.

Your friend said that he got a 40% discount on the shoes. A discount is a reduction in price from the regular price, often as a promotion or incentive to encourage customers to purchase the item. In this case, the discount is 40% of the regular price.

To calculate the sale price of the shoes, we need to subtract the discount amount from the regular price. The discount amount is 40% of $75, which is:

Discount amount = 40% x $75

Discount amount = $30

Now, we can find the sale price by subtracting the discount amount from the regular price:

Sale price = Regular price - Discount amount

Sale price = $75 - $30

Sale price = $45

Learn more about discount here

brainly.com/question/21896340

#SPJ4

Answer:

yes that is completely correct

Answer:

Figure JK is shown in the drawing.

Step-by-step explanation:

Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

To know more about function visit:-

https://brainly.com/question/30721594

#SPJ11

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The relation represents y as a function of x as for each value of x there is a unique value of y.

A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).

The given data is as follows,

A relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1).

Here x is the element of domain and y is of the range of the given relation.

Here, the values of y are distinct for different values of x.

Hence, the given relation represents y as a function of x  because for each value of x there is a single value of y.

To know more about the function click on,

https://brainly.com/question/5975436

#SPJ1

The correct option is A. m ≤ (8)(20)

The inequality which gives the possible values of 'm' is m ≤ (8)(20).

A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

According to the question;

Terrence's car contains 8 gallons of fuel.

Terrence can drive the car 'm' miles using the fuel currently in the car.

The car can drive 20 miles per gallon of fuel,(which is maximum fuel capacity of the car to drive).

Then,

The total miles 'm' covered by the car is 8×20 which is maximum capacity of the car to travel.

Thus, total miles covered by the car are less than the maximum value which is given by the inequality-

m ≤ (8)(20)

Therefore, the inequality which gives the possible values of 'm' is m ≤ (8)(20).

To know more about the solution of an inequality, here

https://brainly.com/question/11613554

#SPJ4

The complete question is-

Terrence's car contains 8 gallons of fuel. He plans to drive the car 'm' miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of 'm'?

answer choices

A. m ≤ (8)(20)

B. m ≥ (8)(20)

C. 8 ≤ 20m

D. 8 ≥ 20 m

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

To know more about eigenvalues, visit

https://brainly.com/question/29861415

#SPJ11

Answer:

m(-6)

Step-by-step explanation:

: "^-3" was replaced by "^(-3)".

  m2 raised to the minus 3 rd power = m( 2 * -3 ) = m-6

Step-by-step explanation:

Going to assume you need to know that value of x

2x + 6 = 2

isolate the variable by subtracting 6 on both sides

2x = 8

divide by 2

x = 4

Answer:

its not 4, its -2

Step-by-step explanation:

2x+6=2

since we are adding 6 we need to subtract 6 from both sides

2x+6=2

    -6 -6

so then we have

2x=-4

so we divide both sides by the number next to the variable/coefficient which is 2

so

2x/2 cancels out

4/-2=-2

we are left with

x=-2  

Answer:

120

Step 1: Value of triangle's sides

First, we need to find out the height of the parallelogram, since the equation to find the area is b * h. To find the height, we must use the Pythagorean Theorem to find the sides of the triangle on the right. Since the base is 15 cm, we know that the top is also 15 cm, so we subtract 9 from 15 to get 6. One of the sides of the triangle is 6, and the hypotenuse (longest side of the triangle) is 10.

Step 2: Pythagorean Theorem

\(a^2+b^2=c^2\). This is the equation we always use if we want to find the sides of a right triangle. Here, a = 6 and c = 10. In the formula, a and c needs to be squared to find b.

\(10^2 (10*10)=100\\6^2 (6*6)=36\\\\c^2=100\\a^2=36\)

Now, we have to subtract c^2 from a^2 to get b^2.

\(100-36=b^2\\100-36=64\\b^2=64\)

Finally, we find the square of 64 and that is 8.

8 is our height.

Step 3: Finding the area

This last step is really simple. to find the area of this parallelogram, we just have to multiply the height (8) by the base (15).

\(8*15=120\\Area=120\)

Our area is 120.

Answer:

120

Step-by-step explanation:

at first you need to calculate h Using the Pythagorean relation

10

\(10 { }^{2} = 6 {}^{2} + x {}^{2} \)

\( x {}^{2} = 100 - 36 = 64\)

\(x = 8 = h\)

area=

\(8 \times 15 = 120\)

Answer:

A, E, F

Step-by-step explanation:

A: the angles are less than 90 degrees

E: all sides have equal lengths

F: has at least 2 sides equivalent in length

The time after 21 minutes from 9:39 is 2:56am.

Given that it is now twenty-one minutes to ten, we need to determine the time in 5 hours and 17 minutes.

To find the answer, we can add 5 hours and 17 minutes to the current time, which is 9:39 PM. Let's first convert the hours to minutes:5 hours = 5 x 60 = 300 minutes.

Then, add 300 minutes and 17 minutes:300 minutes + 17 minutes = 317 minutes.

Since there are 60 minutes in an hour, we need to divide 317 by 60 to determine the number of hours:317 / 60 = 5 with a remainder of 17.

Therefore, the time in 5 hours and 17 minutes will be 2:56 AM.

To check our answer, we can work backward:

Start with 2:56 AM and subtract 5 hours and 17 minutes:2:56 AM - 5 hours = 9:56 PM9:56 PM - 17 minutes = 9:39 PMAs expected, we arrived back at the original time of 9:39 PM. Therefore, the final answer is 2:56.

Learn more about time:https://brainly.com/question/479532

#SPJ11

The mean for the given grouped data given for the stated frequency distribution is found as 20.68.

Prepare the frequency distribution table for the given data:

Interval         Frequency{f}      Midpoint of frequency{x}          f×x

1-7                    16                        4                                            64

8-10                  4                        9                                            36

11-15                 4                        13                                           52

16-20               17                       18                                           306

21-35               13                       28                                          364

36-50              13                       43                                          559

Sum                67                                                                     1381

The mean  of grouped data = Sum (Interval Midpoint * Frequency) / Sum of all frequency

Mean =  1386 / 67

Mean = 20.68

Know more about the mean

https://brainly.com/question/1136789

#SPJ1

The cost of 100 donuts is $ 1 if a dozen of donuts cost 12 cents.

This question is solved using the unitary method. The unitary method is a method in which you find the value of a unit and then the value of the required number of units.

1 dozen refers to a group of 12.

Cost of 1 dozen donuts or 12 donuts = 12 cents

Cost of 1 donut = \(\frac{12}{12}\) = 1 cent

Cost of 100 donuts = 1 * 100 = 100 cents

100 cents = 1 dollar.

Thus, the cost of 100 donuts is 100 cents or 1 dollar.

Learn more about Unitary Method:

https://brainly.com/question/24587372

#SPJ4

The statistical measures are:

Min: 2

Q1: 4

Med: 8

Q3: 13

Max: 15

The box and whiskers plot is attached.

Box and whiskers plot is a simple way of representing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, usually with a vertical line inside to indicate the median value.

The lower and upper quartiles are shown as horizontal lines on either side of the rectangle.

The statistical measures are as follows:

The minimum value is the lowest number in the data set. Thus:

Min = 2

The lower quartile (Q1) is the value under which 25% of data points are found when they are arranged in increasing order. That is:

2, 2, 3, 4, 5, 5, 8

Q1 = 4

The median is the value in the middle of an ordered set of

numbers.

2, 2, 3, 4, 5, 5, 8, 8, 10, 10, 11, 13, 15, 15, 15

Med = 8

The upper quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.

10, 10, 11, 13, 15, 15, 15

Q3 = 13

The maximum value is the highest number in the data set. Thus:

Max = 15

Check the attached for image of the plot.

Learn more about box and whiskers plot on:

brainly.com/question/28023366

#SPJ1

Answer:

Step-by-step explanation:

Given system

Solve it by substitution

Find the value of x

Find the value of y

Answer:

x = 200

Step-by-step explanation:

Given system of equations:

\(\begin{cases}x-y=80\\\\\dfrac{3}{5}=\dfrac{y}{x} \end{cases}\)

Rearrange the second equation to make y the subject by multiplying both sides by x:

\(\implies \dfrac{3}{5} \cdot x=\dfrac{y}{x} \cdot x\)

\(\implies y=\dfrac{3}{5}x\)

Substitute this into the first equation and solve for x:

\(\implies x-\left(\dfrac{3}{5}x\right)=80\)

\(\implies \dfrac{2}{5}x=80\)

\(\implies \dfrac{2}{5}x \cdot 5=80 \cdot 5\)

\(\implies 2x=400\)

\(\implies \dfrac{2x}{2}=\dfrac{400}{2}\)

\(\implies x=200\)

Therefore, the value of x is 200.

If you want to find the value of y, simply substitute the found value of x into the first equation and solve for y:

\(\implies 200-y=80\)

\(\implies 200-y+y=80+y\)

\(\implies 200=y+80\)

\(\implies 200-80=y+80-80\)

\(\implies 120=y\)

\(\implies y=120\)