what is 85% of 2500m

Answer:

False.

Step-by-step explanation:

The statement "1:24,000" is not an example of a verbal statement. It is a numerical ratio or scale commonly used in cartography and map scales. Verbal statements typically involve spoken or written language rather than numerical representations. :)

Her painting rate in window frames per hour will be;

⇒ 1.6 frames per hour

Her painting rate in hours per window frame will be;

⇒ 0.25 hours per window frame

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Joyce painted 8 window frames in 5 hours while earning money for college.

Here, Joyce painted 8 window frames in 5 hours while earning money for college.

Hence, Her painting rate in window frames per hour is,

⇒ 8/5

⇒ 1.6 frames per hour

And, Her painting rate in hours per window frame is,

⇒ 5/8

⇒ 0.25 hours per window frame

Thus, Her painting rate in window frames per hour = 1.6 frames per hour

Her painting rate in hours per window frame = 0.25 hours per window frame

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The angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\),\) which is approximately 1.107 radians or 63.43 degrees.

To determine the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\),\) we can follow these steps:

1. Express \(\(z_0\)\) in polar form: To find the polar form of \(\(z_0\)\), we need to calculate its magnitude \((\(r_0\))\) and argument \((\(\theta_0\))\). The magnitude can be obtained using the formula \(\(r_0 = |z_0| = \sqrt{\text{Re}(z_0)^2 + \text{Im}(z_0)^2}\)\):

\(\[r_0 = |2i + 1| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}\]\)

  The argument \(\(\theta_0\)\) can be found using the formula \(\(\theta_0 = \text{arg}(z_0) = \arctan\left(\frac{\text{Im}(z_0)}{\text{Re}(z_0)}\right)\)\):

\(\[\theta_0 = \text{arg}(2i + 1) = \arctan\left(\frac{2}{1}\right) = \arctan(2)\]\)

2. Find the polar form of \(\(w\)\): The polar form of \(w\) can be expressed as \(\(w = |w|e^{i\theta}\)\), where \(\(|w|\)\) is the magnitude of \(\(|w|\)\) and \(\(\theta\)\) is its argument. Since \((w = z^2\)\), we can substitute z with \(\(z_0\)\) and calculate the polar form of \(\(w_0\)\)using the values we obtained earlier for \(\(z_0\)\):

 \(\[w_0 = |z_0|^2e^{2i\theta_0} = \sqrt{5}^2e^{2i\arctan(2)} = 5e^{2i\arctan(2)}\]\)

3. Determine the argument of \(\(w_0\):\) To find the argument \(\(\theta_w\)\) of \(\(w_0\)\), we can simply multiply the exponent of \(e\) by 2:

  \(\[\theta_w = 2\theta_0 = 2\arctan(2)\]\)= 1.107 radians

Therefore, the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\).\)

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The complete question is:

"Determine the angle of rotation, in radians and degrees, at the point z0 = 2i + 1 when w = z^2."

Answer:

10 square meters will have a standard deviation of 1.897.

Step-by-step explanation:

Standard deviation for n instances of a variable:

If the standard deviation for one instance of a variable is \(\sigma\), for n instances of the variable, the standard deviation will be of \(s = \sigma\sqrt{n}\)

The standard deviation of the number of flaws per square yard is 0.6

This means that \(\sigma = 0.6\)

For the 10 square yards will a standard deviation of

\(n = 10\), so:

\(s = \sigma\sqrt{n} = 0.6\sqrt{10} = 1.897\)

10 square meters will have a standard deviation of 1.897.

The correct alternative hypothesis for the Wilcoxon rank sum test is: ha: one distribution is shifted in a location higher or lower than the other. Option C is the answer.

This means that the test is designed to determine if there is a significant difference between the medians of two independent groups, rather than testing for a difference in means.

The null hypothesis for the test is that there is no significant difference between the two groups, while the alternative hypothesis states that there is a significant difference.

The Wilcoxon rank sum test is a nonparametric test and is used when the assumptions of the t-test are not met, such as non-normality or unequal variances.

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Answer:

Y is less than or equal to 13

Step-by-step explanation:

Answer:

Wasim has enough money.

Step-by-step explanation:

1. find the area of the garden path:

600 cm x 120 cm = 72,000 sq. cm

2. find the area of each stone:

it is a square of 30 cm by 30 cm, so:

30 cm x 30 cm = 900 sq. cm

3. find how many stones can fit in the path:

72,000 / 900 = 80 stones

4. multiply that by the price of each stone:

80 stones x $2.50 = $200

Wasim's budget is $220 and the stones will only cost $200, so it is within the budget

Answer:

a) 26

b) 4n+2

Step-by-step explanation:

From the given figure it is clear that,

Number of sticks in pattern 1 = 6

Number of sticks in pattern 2 = 10

Number of sticks in pattern 3 = 14

Now,

6, 10, 14, ...

It is an AP.

Here, first term = 6

Common difference  = 10 - 6 = 4

nth term of an AP is

\(a_n=a_1+(n-1)d\)

where, \(a_1\) is first term and d is common difference.

So, nth term of given AP is

\(a_n=6+(n-1)4\)

\(a_n=6+4n-4\)

\(a_n=4n+2\)

Now, substitute n=6 in the above equation to find the number of sticks in pattern 6.

\(a_n=4(6)+2=24+2=26\)

Therefore, the number of sticks in pattern 6 is 26.

Since \(a_n=4n+2\), therefore, the number of sticks in pattern n is 4n+2.

Answer:

A)26

B)4n+2

Step-by-step explanation:

The standard matrix A of T is:

\(A = [ T(e1) | T(e2) ]= [ 3 | -5 ][ 1 | 6 ][ 3 | 0 ][ 1 | 0 ]\)

As per the question given,  

To find the standard matrix of the linear transformation T: R2 -> R4, we need to determine the images of the standard basis vectors e1 = (1, 0) and e2 = (0, 1) of R2 under T and use them as columns of the standard matrix.

We are given that T(e1) = (3, 1, 3, 1) and T(e2) = (-5, 6, 0, 0). Therefore, the standard matrix A of T is:

A = [ T(e1) | T(e2) ]

= [ 3 | -5 ]

[ 1 | 6 ]

[ 3 | 0 ]

[ 1 | 0 ]

Note that the vertical bar separates the columns of the matrix. Each entry in the matrix corresponds to the coefficient of the corresponding basis vector in the image of the transformation.

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Answer:

good

Step-by-step explanation:

thx for the points :)

A) The symmetric equations of the new line, we can eliminate the parameter t by setting t = (x-1)/1 = (y-3)/2 = (z+1)/(-3). This gives:

(x-1)/1 = (y-3)/2 = (z+1)/(-3)

B) The line intersects the yz-plane at the point (0, 5, -5/2).

A) To find the equations of the line passing through the point (1,3,-1) and parallel to the line with parametric equations x=-1+t, y=2+2t, and z=-2-3t, we can use the fact that the direction vector of the new line is equal to the direction vector of the given line.

The direction vector of the given line is <1,2,-3>. Therefore, the parametric equations of the new line are:

x = 1 + t

y = 3 + 2t

z = -1 - 3t

To find the symmetric equations of the new line, we can eliminate the parameter t by setting t = (x-1)/1 = (y-3)/2 = (z+1)/(-3). This gives:

(x-1)/1 = (y-3)/2 = (z+1)/(-3)

B) To find the points at which the line intersects the coordinate planes, we can substitute 0 for the appropriate coordinate in the symmetric equations of the line.

When z=0, we have (x-1)/1 = (y-3)/2 = (0+1)/(-3), which simplifies to:

x-1 = -1/3 and y-3 = -2/3

Solving for x and y, we get x = 2/3 and y = 8/3. Therefore, the line intersects the xy-plane at the point (2/3, 8/3, 0).

Similarly, when y=0, we have (x-1)/1 = (0-3)/2 = (z+1)/(-3), which simplifies to:

x-1 = 3/2 and z+1 = -3/2

Solving for x and z, we get x = 5/2 and z = -5/2. Therefore, the line intersects the xz-plane at the point (5/2, 0, -5/2).

Finally, when x=0, we have (0-1)/1 = (y-3)/2 = (z+1)/(-3), which simplifies to:

y-3 = 2 and z+1 = -3/2

Solving for y and z, we get y = 5 and z = -5/2. Therefore, the line intersects the yz-plane at the point (0, 5, -5/2).

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Answer: Dave I think

Step-by-step explanation: Trust

Justin will earn $22,903.20 for the year as his gross annual salary

To find Justin's gross annual salary, you need to multiply his hourly rate by the number of hours he works in a year. Justin works 8 hours per day and 251 days in a year.

So, the total number of hours he works in a year is:

$$8 \text{ hours/day} \cdot 251 \text{ days/year} = 2,008 \text{ hours/year}
$$Now, multiply this number by Justin's hourly rate:$$2,008 \text{ hours/year} \cdot $11.40/\text{hour} = $22,903.20
$$

Therefore, Justin will earn $22,903.20 for the year as his gross annual salary.

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Justin will earn $550,732.80 as his gross annual salary.

To calculate Justin’s gross annual salary, we will first calculate his daily pay and then multiply it by the total number of days he will work.

Here are the steps to solve the problem:

Step 1: Find the daily pay Justin will earn.

To find Justin's daily pay, we will multiply his hourly pay by the number of hours he will work each day. Justin will work for 8 hours each day, so his daily pay is:

Daily pay = Hourly pay × Number of hours worked per day

= $11.40 × 8

= $91.20

Step 2: Find the total pay Justin will earn.

To find the total pay Justin will earn, we will multiply his daily pay by the number of days he will work.

Total pay = Daily pay × Number of days worked

= $91.20 × 251

= $22,897.20

Step 3: Find Justin’s gross annual salary.Justin’s gross annual salary is the total pay he will earn for the year.

To find this, we will simply multiply his total pay by the number of times he will be paid in a year (assuming he is paid twice a month, which is common in many companies):

Gross annual salary = Total pay × Number of pay periods in a year

= $22,897.20 × 24= $550,732.80

Therefore, Justin will earn $550,732.80 as his gross annual salary.

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Answer:

139

Step-by-step explanation:

A = Pe^rt

A = 600$

P = 300$

R = 0.005

T = ?

600 = 300e^(0.005)(t)

t = 138.63

"The mean will be higher than the median in any distribution that" ;

has a positively skewed distribution

A positively skewed distribution is one in which the majority of data values are clustered towards the lower end of the range, while the rest of the values are spread out towards the higher end of the range. As a result, the mean (the average of all the data values) will be higher than the median (the middle value of the data set).

This is because the mean is affected by the higher values in the distribution, while the median is not.

Positively skewed distributions are common in real-world data sets and are often seen in income distributions, stock market returns, and other economic data.

For example, a distribution of incomes may have a few very high earners pushing up the mean, while the majority of people make much lower amounts, resulting in a median that is lower than the mean.

Similarly, stock market returns may have a few very large returns that pull the mean up, while the majority of returns are much lower, resulting in a median that is lower than the mean.

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Answer:

The number is 6

Step-by-step explanation:

6+4=10

6^2=36

10^2=100

100-36=64

The correct option that explains what steps were followed to obtain the system of equations include the following: A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

In order to solve the given system of equations, we would apply the elimination and substitution method. Based on the information provided above, we have the following system of equations:

System A:

-x - 2y = 7 ..........equation 1.

5x - 6y = -3 .......... equation 2.

Next, we would multiply the first equation by 5 as follows

5(-x - 2y) = 5(7)

-5x - 10y = 35 ........... equation 3.

By taking the sum of equation (2) and equation (3), we have:

(5x - 5x) + (-6y - 10y) = 35 - 3

-16y = 32 .......... equation 4.

By replacing the second equation in system A by equation 4, we have system B:

-x - 2y = 7

-16y = 32

y = 32/-16

y = -2.

When y = -2, the value of x is given by;

-x - 2y = 7

x = -7 - 2y

x = -7 - 2(-2)

x = -7 + 4

x = -3

Therefore, the solution to system B is the same as the solution to system A i.e (-3, -2).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

C.

Step-by-step explanation:

2.7 radians

Answer:c

Step-by-step explanation:2.7 radians

Answer:

0.036

Step-by-step explanation:

See image below:)

the area is 32 and the length is 888

you use the formula w= a/l

so a= 32 and l= 888

The width is 0.036mm.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here, given that,

the area is 32 and the length is 888

We use the formula w= A/l

so, A= 32 and l= 888

Then, width= w= 32/888

                         =0.036 mm.

Hence, width is 0.036mm

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The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

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Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

Answer:

22x^9

Step-by-step explanation:

Note that this graph begins in Quadrant III and continues in Quadrant I.  This is also the behavior of the odd function y = x^3.  Thus, we can immediately eliminate the possibilities -18x^14 and 17x^12.  The correct answer choice is 22x^9, as this, as y = x^3, has a positive coefficient and the same shape as the given graphed function for "large" values of positive or negative x.

The leading term for the polynomial function graphed in the question is 22\(x^{9}\) which is option D).

A polynomial function is like another functions that has positive integers. It may be cubic polynomial, quadratic polynomial, etc.

If we observe the graph carefully then we can find that the graph comes from third quadrant then it enters in second quadrant and then it enters in the first quadrant. This is the nature of a graph of f(x)=\(x^{3}\) and in the given options we can only write \(22x^{9}\) as 22\(22x^{3} *^{3}\). So the leading term may be 22\(x^{9}\).

Hence the leading term of the function graphed is 22\(x^{9}\).

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The standard deviation for a binomial probability distribution is : √npq.

The correct option is (D) i.e., square root of npq

The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.

For a binomial distribution,

µ = np, which signifies the expected number of successes.

\(\sigma^2\) = npq , \(\sigma^2\) is the variance.

Since, the standard deviation is the square root of the variance,

Therefore, σ = Standard deviation = √npq

Thus, the standard deviation for a binomial probability distribution is given by √npq.

The correct option is (D)

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Answer:

AC = 38

Step-by-step explanation:

A mid point divides a line in 2 equal parts. That means that one segment is equal to the other.

6x + 1 = 3x + 10                 Subtract 3x from both sides

6x-3x + 1 = 3x -3x + 10     Combine

3x + 1 = 10                         Subtract 1 from both sides

3x + 1 -1 = 10 - 1

3x = 9                                Divide by 3

3x/3 = 9/3

x = 3

6x + 1 = 6*3 + 1 = 19

3x +10= 3*3 + 10 = 19

Both segments are 19 units long

AC = 19 + 19 = 38

By  null hypothesis the given statement " in a two-sided test for mean, we do not reject if the parameter is included in the confidence interval."is True.

In a two-sided test for mean, if the null hypothesis is that the population mean is equal to some value μ0, then the alternative hypothesis is that the population mean is not equal to μ0.

If we compute a confidence interval for the population mean using a certain level of confidence (e.g. 95%), and the confidence interval includes the null value μ0, then we fail to reject the null hypothesis at that level of confidence.

This is because the confidence interval represents a range of plausible values for the population mean, and if the null value is included in that range, we cannot say that the data provides evidence against the null hypothesis.

However, if the confidence interval does not include the null value μ0, then we can reject the null hypothesis at that level of confidence and conclude that the data provides evidence in favor of the alternative hypothesis that the population mean is different from μ0.

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The area of the circle with radius 'r' is πr² units² because the formula for the area of a circle = πr²

The circle is defined as a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point which is the centre.

The angle at the center of a circle sums up to 360°.

To calculate the area of a circle, the formula that should be used is given as follows;

Area of a circle = πr²

radius of the circle = r units

area = π×r ×r

= πr² units ²

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Answer:

699*39=27261

Step-by-step explanation:

699*39

6 9 9

×         3 9

+     6 2 9 1

+   2 0 9 7  

=  2 7 2 6 1

Answer:

2x+2x+2x= 180

6x=180

x= 30

Step-by-step explanation:

Answer: x=30

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

Subtract 1 from 2.5 to get 1.5

Multiply by 4 to get 6

So, X=6

Answer:

x=6

Step-by-step explanation:

6/4=1.5

and 1.5+1=2.5