what is the value of 144 square root

The given statement "For a sample with a standard deviation of s = 8, a score of x = 42 corresponds to z = -0.25. The mean for the sample is m = 40." is False because the calculated z-score does not match the given value.

To calculate the z-score, we use the formula z = (x - m) / s, where x is the score, m is the mean, and s is the standard deviation. Substituting the given values, we have z = (42 - 40) / 8 = 0.25. However, the given statement states that the z-score is -0.25, which is incorrect. Therefore, the statement is false.

The correct z-score for x = 42 with a mean of m = 40 and standard deviation of s = 8 is 0.25, not -0.25.

For more questions like Z-score click the link below:

https://brainly.com/question/15016913

#SPJ11

Name all angles when there are two parallel lines cut by a transversal?

Alternate interior angles

Corresponding angles

Vertically opposite

From figure 1,

Since the angles marked with colour fulfil the vertically opposite angles properties ,so

(2x+35)° = (8x-49)°

⇒(2x-8x)=(-49-35)°

⇒-6x=-84

⇒x = 14°

Hence , x = 14°

From figure 2,

Since the angles marked are corresponding angles,therefore on equating both angles we get

(10x-18)°=(15x-48)°

⇒(10x-15x)=(-48+18)°

⇒-5x = -30°

⇒ x = 6°

From figure 3,

Since the given two angles are alternate interior angles ,so

(7x+5)°=(12x-75)°

⇒(7x-12x)=(-75-5)°

⇒-5x=-80°

⇒x = 16°

From figure 4 ,

Since the two angles lies in a straight line ,so sum is 180°

(27x-21)°+(10x-16)°=180°

⇒37x -37° = 0

⇒ x = 1°

Learn more about angles by:

https://brainly.com/question/24541599

#SPJ1

Answer:

37.3275

Step-by-step explanation:

I just put it on the calculator :)))))

Answer:

B. –48

Step-by-step explanation:

Answer:y=-48

Step-by-step explanation:

4*(2*-6)=-48

Answer:

The correct answer is y= 1/16

Step-by-step explanation:

2^-6 is 1/64 multiplied by 4 is 1/16

Substitute the value of the variable into the expression and simplify.

( − 6 , − 48 )

The probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

The probability distribution of x can be calculated as follows:

Given that 6% of all cars produced at a large auto company are lemons. This means that out of every 100 cars manufactured at the company, 6 of them are lemons.Let x denote the number of lemons in this sample. Then, x can take the values 0, 1, or 2. To find the probability of each value of x, we use the binomial probability formula, which is:

P(x) = (nCx) * p^x * (1-p)^(n-x)

where n is the sample size, p is the probability of success, and x is the number of successes.

The sample size is 2 because we are selecting two cars at random from the production line. The probability of success (getting a lemon) is 0.06. Using the binomial probability formula, we get:

P(0) = (2C0) * 0.06^0 * (1-0.06)^(2-0) = 0.8836

P(1) = (2C1) * 0.06^1 * (1-0.06)^(2-1) = 0.1060

P(2) = (2C2) * 0.06^2 * (1-0.06)^(2-2) = 0.0564

Therefore, the probability distribution of x is:X P(x) 0. 0.8836 1. 0.1060 2. 0.0564

In conclusion, the probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.

Electrical potential acting on an ion and driving it in one direction or another is the definition of an electrical gradient..

The migration of particles (solutes) from a region of higher concentration to a region of lower concentration, separated by a membrane, is referred to as a concentration gradient.

An ion can travel across a membrane depending on the concentration of a solute thanks to an electrochemical gradient, which combines an electrical gradient with a concentration gradient.

To learn more about gradient Visit : https://brainly.com/question/13050811

#SPJ9

The given distribution of the most popular car colors for 2010 is presented in a bar graph. This type of plot effectively displays the categorical data and their corresponding percentages. Therefore, the appropriate plot for representing the given data is the bar graph provided initially.

Now let's consider the options:

a) A time series plot: A time series plot is used to visualize data over a specific period of time. Since the given data represents the distribution of car colors for a single year (2010), a time series plot is not appropriate in this case. Therefore, option a) is not suitable.

b) A pie chart: A pie chart is commonly used to represent parts of a whole. In this case, the data is already presented in a bar graph, which effectively displays the proportions of each car color. Although a pie chart can also represent proportions, it may not provide the same level of clarity as the bar graph. Therefore, option b) is not necessary.

c) A histogram: A histogram is used to visualize the distribution of continuous or discrete data across intervals or bins. In this case, the data is categorical, representing specific car colors and their corresponding percentages. Therefore, a histogram is not appropriate.

d) All of the above: Since options a) and c) are not suitable for representing the given data, the correct answer is not d) "All of the above."

To learn more about histogram click here: https://brainly.com/question/16819077

#SPJ11

The bar graph below gives the distribution of the most popular colors for cars and light trucks sold globally in 2010. Most popular car colors (2010) CE 20 15 Percent 10 Silver Black While Blue Gray Red Color Brown Other Which of the following kinds of plots would also be appropriate for these data? a) a time series plot b) a pie chart a histogram. a) a time series plot b) a pie chart. c) a histogram. d) All of the above

The area of the shaded sector with a central angle of 120 degrees and radius 12 units is 150.72 sq units

From the question, we have the following parameters that can be used in our computation:

central angle = 120 degrees

Radius = 12 units

Using the above as a guide, we have the following:

Sector area = central angle/360 * 3.14 * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Sector area = 120/360 * 3.14 * 12^2

Evaluate

Sector area = 150.72

Hence, the area of the sector is 150.72 sq units

Read more about arc lengths at

https://brainly.com/question/16552139

#SPJ1

the y intercept is 0 because it's the number with the x and you have to divide everything by the 2 w/ the y to get it by itself and the 2's cancel out just leaving x !!

Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

Learn more about Divisibility here:

https://brainly.com/question/2273245

#SPJ11

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

A circle represents 360 degrees. A circle can be split up into smaller sections. An arc is a segment of a circle, and arcs are named based on their angles.

To illustrate information and data, use a circle graph or pie chart. Often, a circle graph is used to quickly and proportionately display the findings of an investigation.

Given data:

Type of Transportation      Number of Visitors  Percentage

Walk                                    120                            120*100/ 300 = 40%

Bicycle                                 24                            24*100/ 300 = 8%        

Car Service                         45                            45*100/ 300 = 15%

Bus                                      30                            30*100/ 300 = 10%

Subway                               81                             81*100/ 300 = 27%

Total                                   300

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

know more about the circle graphs

https://brainly.com/question/24461724

#SPJ1

Answer:

there the same just flipped around b and y are the same z and c are the same so is a and x

Answer: 7

Step-by-step explanation:

We know that 7 times 7 is 49, so

\(\sqrt{49}\) = \(\sqrt{(7 )(7)}\) = 7

Answer:

-0.8 is the correct answer of this question

Answer:

-16/45

Step-by-step explanation:

When you mulitply these two fractions together it's best to muliteply them by the number across so therefore 8x-2= -16 and 15x3= 45 which you end up with -16/45

Answer:

54%

Step-by-step explanation:

Getting a head or a tail are two mutually exclusive events. Thus, given that probability of getting a tail is 0.46, the probability of getting a head is 0.54.

Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

P(getting a head) + P(getting a tail) = 1

(Getting a head and getting a tail are mutually exclusive events. This implies that when we toss a coin, we either get a head or a tail.)

P(getting a head) + 0.46 = 1

P(getting a head) = 1 - 0.46 = 0.54

Learn more about mutually exclusive events here

https://brainly.com/question/5492865

#SPJ3

Answer:

486 inches

Step-by-step explanation:

multiply 9×9=81

then multiply 81×6 (because there are 6 sides)

Answer:

486 on Edge 2022-2023

Step-by-step explanation:

HOPED THIS HELPED YOU

HAVE A GOD-LIKE DAY

EVEN TO EVERYONE THATS ON EDGE

Answer: 913%

Step-by-step explanation:

Based on the concept of payday loans, Barbara's annual percentage rate is 9.125%

The Annual Percentage Rate (APR) is a term that is used to describe the cost paid each year to borrow money, such as fees, expressed as a percentage.

In this case, to get the annual percentage rate (APR) on Barbara's loan calculate the effective interest rate for the 8-day period and then annualize it.

Given that Barbara borrowed $75 and was charged a fee of $15 for an 8-day term the total amount she needs to repay is $75 + $15 = $90.

To calculate the effective interest rate we can use the following formula:

Effective Interest Rate = (Total Interest / Principal) * (365 / Loan Term)

Total Interest = $15 (fee)

Principal = $75 (loan amount)

Loan Term = 8 days

Substituting the values into the formula:

Effective Interest Rate = (15 / 75) * (365 / 8)

Effective Interest Rate = 0.2 * 45.625

Effective Interest Rate = 9.125%

Therefore, APR = Effective Interest Rate * Compounding Frequency

APR = 9.125% * 1

APR = 9.125%

Hence, in this case, it is concluded the approximate annual percentage rate (APR) on Barbara's loan is around 9.125%.

Learn more about Annual Percentage Rate here: https://brainly.com/question/30774234

#SPJ6

Answer:

C

Step-by-step explanation:

I think that is the answer because 5x5x5=125

Answer:

it is c 125

Step-by-step explanation:

The solution to the given system of differential equations is x(t) = -7e^(-3t) - (12/5)e^(-5t). The initial value x(0) = -11 is used to determine the specific values of the constants in the solution.

To solve the system of differential equations, we start by rearranging the equations in matrix form:

[d/dt] [x(t)] = [15 -18] · [x(t)]

[12 -15]

Next, we find the eigenvalues and eigenvectors of the coefficient matrix [15 -18; 12 -15]. The eigenvalues are λ₁ = 0 and λ₂ = -3, with corresponding eigenvectors [3; 4] and [-2; 3], respectively.

Using these eigenvalues and eigenvectors, we construct the general solution as x(t) = c₁e^(0t)[3; 4] + c₂e^(-3t)[-2; 3], where c₁ and c₂ are constants.

Simplifying the general solution, we have x(t) = c₁[3; 4] + c₂e^(-3t)[-2; 3].

Using the initial condition x(0) = -11, we substitute t = 0 and solve for the constants c₁ and c₂. This yields c₁ = -7 and c₂ = -12/5.

Finally, substituting these values back into the general solution, we get x(t) = -7e^(-3t) - (12/5)e^(-5t). This is the solution to the given system of differential equations.

To learn more about differential equations click here :

brainly.com/question/2273154

#SPJ11

Answer:

Slope = -2/3

Step-by-step explanation:

Slope = \(\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\)

Slope = \(\frac{-1 -(-5)}{-4-2} = \frac{4}{-6} =-\frac{2}{3}\)

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

10

Step-by-step explanation:

Answer:

The correct box plot is B  (Bottom left)

Step-by-step explanation:

I have attached the appropriate picture containing the box plots to this answer. In order to choose the most appropriate box plot, we have to find the median of the distribution and locate the box plot showing the correct median. This is done as follows:

To find the median, we will first arrange the distribution in ascending (or descending) order

Median = 52, 54, 56, 58, 60, 62, 64

Next, we will group the data into two halves, and choose the middle term, which is 58. this becomes the median.

From the diagram, box plots, A, B and C have their median as 58, in order to determine the correct plot, we will find the medians to the lower and upper halves of the distribution. This is done as follows:

Lower half: 52, 54, 56, 58

Median of lower half = (54 + 56) ÷ 2 = 55

upper half = 58, 60, 62, 64

Median of upper half = (60 + 62) ÷ 2 = 61

From the picture the plot with these three medians from lower half to upper half (55, 58, 61) is plot B (bottom left)

Note the medians are the lines that form the boundaries and at the middle of the box.

Answer:

The answer is B bottom left :

The values of c for which the vectors v(-1, 2, c) and w(-7, 8, 9) are orthogonal are c = -1 and c = 17.

In order for two vectors to be orthogonal, their dot product must be zero. The dot product of two vectors v = (v1, v2, v3) and w = (w1, w2, w3) is given by v · w = v1w1 + v2w2 + v3w3.

Let's calculate the dot product of v(-1, 2, c) and w(-7, 8, 9):

v · w = (-1)(-7) + (2)(8) + (c)(9)

= 7 + 16 + 9c

= 23 + 9c

For the vectors to be orthogonal, the dot product must be zero, so we have:

23 + 9c = 0

Solving this equation for c, we get:

9c = -23

c = -23/9

Therefore, the vectors v(-1, 2, c) and w(-7, 8, 9) are orthogonal when c = -23/9.

However, we need to find all the values of c for which the vectors are orthogonal. Since the equation 9c = -23 only gives us one solution, we need to explore further. Let's substitute c = -23/9 back into the dot product equation:

v · w = 23 + 9(-23/9)

= 23 - 23

= 0

The dot product is zero, which means that the vectors v(-1, 2, c) and w(-7, 8, 9) are orthogonal when c = -23/9.

So, the only values of c for which the vectors v and w are orthogonal are c = -23/9 and c=17.

Learn more about vectors here:

https://brainly.com/question/24256726

#SPJ11

An equation for a rational function with the given characteristics vertical asymptotes: "-4" , slant asymptote: y= x-2 and one x intercept is (3,0) is

y =(x²+2x-15)/(x-2).

As given,

Vertical asymptote :-4

⇒x=-4

Slant asymptote: y=x-2

x-intercept :(3,0)

Equation for a rational function : y=\((x +4) + \frac{a}{x-2}\)

Substitute when y=0 , x=3

\(0 = (3+4) + \frac{a}{3-2}\)

⇒0 = 7+a

⇒a =-7

Rational function:

\(y= (x +4) + \frac{-7}{x-2}\\\\\implies y = \frac{x^{2} +2x -15}{x-2}\)

Therefore, equation for a rational function with the given characteristics vertical asymptotes: "-4" , slant asymptote: y= x-2 and one x intercept is (3,0) is y = (x²+2x-15)/(x-2).

Learn more about asymptote here

brainly.com/question/4084552

#SPJ1

Answer:

f = - \(\frac{12}{11}\)

Step-by-step explanation:

Given

- 5f - 8 = 2(3f + 2) ← distribute parenthesis

- 5f - 8 = 6f + 4 ( subtract 6f from both sides )

- 11f - 8 = 4 ( add 8 to both sides )

- 11f = 12 ( divide both sides by - 11 )

f = \(\frac{12}{-11}\) = - \(\frac{12}{11}\)

Answer:

f= -12/11

Step-by-step explanation:

-5f-8=6f+4

+5f +5f

-8=11f+4

-4 -4

-12=11f

÷11 ÷11

-12/11=f

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

Learn more about equation

brainly.com/question/29657983

#SPJ11

Answer:

66m

Step-by-step explanation:

Answer:

66 m

Step-by-step explanation:

ok so if you think about it, when she runs diagonal she's creating a triangle where she is running along the hypotenuse. we can now use the Pythagorean Theorem a^2 + b^2 = c^2 to solve for the other side with two of them being known.

plug values in

100^2 + w^2 = 120^2

square known values

10,000 = w^2 = 14,400

subtract 10,000 from both sides

w^2 = 4400

take the square root

w = 66 (rounded to the nearest whole number)