If the vertex of the parabola y=x^2-6x+m is on the Ox axis, then m=?

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

To learn more about mean visit;

brainly.com/question/31101410

#SPJ11

The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

https://brainly.com/question/34836468

#SPJ12

Answer:

A

Step-by-step explanation:

It's hard to see but when x is 6, y is 4.5. Just plug that into each equation and see which one is correct.

\(x^{2} =8y\\x=6;y=4.5\\6^{2} =8(4.5)\\36=36\)

The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as = 2 * 10^-7

A canonical, normal, or standard form of a mathematical object is a conventional manner of presenting that item as a mathematical expression in mathematics and computer science. It is frequently the one that gives the simplest representation of an item and allows it to be identified in a unique fashion.

A quantity is said to be stated in standard form if it is written as the product of a power of ten and a number higher than or equal to one but less than ten (or scientific notation).

The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as follows:

=3.6 * 10^-5 / (1.8 * 10^2)

= (3.6 / 1.8) * (10^-5 / 10^2)

= 2 * 10^-7

Therefore, the answer in standard form is 2 * 10^-7.

For more questions on Expression in Standard form

https://brainly.com/question/932146

#SPJ4

Answer:

\(f(x)=\dfrac25x+\dfrac35\)

Step-by-step explanation:

The data in the table means that if you input the value of x into the function, the output will be f(x).

The first two answer options are linear functions.  If a function is linear, the ratio of the difference in y-values to the difference in x-values is always constant.

We can see that the x-values in the table increase by 3 each time, so the difference in x-values is 3.

By calculation, we can also see that the y-values increase by 6/5 each time, so the difference in y-values is 6/5.

Therefore, the ratio of differences is 6/5 ÷ 3 = 2/5 and is constant.

So the function is linear and has a slope (gradient) of 2/5

Therefore, the function is: \(f(x)=\dfrac25x+\dfrac35\)

The equation that represents the total area of the pool and deck is: A(x) = 2x² + 24x + 64.

In algebra, a binomial is a polynomial that consists of two terms connected by either an addition or a subtraction operator. A binomial can be written in the form (ax + b) or (ax - b), where "a" and "b" are constants and "x" is a variable.

Binomials are used in a variety of algebraic operations, such as factoring, expanding, and solving equations. They also appear in binomial probability distributions and binomial theorem.

Let's start by drawing a diagram to visualize the problem:

___________      

|                       |    4 ft

|   _________|_________

|   |                   |                    |

|   |                   |                    |

|  |                    |                    |   2x

|  |                    |                    |

|  |_________|_________ |

|                       |    4 ft

|__________ |

      2w

The rectangular pool is twice as wide as it is long, so we can let the length be x, and the width be 2x.

The deck around the pool is 4 feet wide on each side, so the total width of the pool and deck is (2x + 8), and the total length is (x + 8).

Therefore, the total area of the pool and deck can be represented as:

(2x + 8)(x + 8)

Expanding the expression, we get:

2x² + 24x + 64

So the equation that represents the total area of the pool and deck is:

A(x) = 2x² + 24x + 64

where A(x) is the area of the pool and deck, and x is the length of the pool.

To know more about expression visit:

https://brainly.com/question/29492703

#SPJ1

Step-by-step explanation:

The Inaquality Notation should be ( x < - 3 ), you have it right but need to turn the arrow around or you can put in another form. ( x > 0 ) with line under the arrow.

Answer:

If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.

As a verification, we find the locations of V and U from rotations of R & S.

(actually, the triangle had been rotated -90&deg;, 90 &deg; clockwise)

Step-by-step explanation:

Slope RS, m1:

Slope VU, m2

Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected

The lines RS and VU have the opposite and reciprocal slopes because                               Slope of QRS is 1, where as Slope of TVU is -1

Slope of a triangle represents the angle that are formed between positve X-axis moving anticlockwise towards y-axis.

RQ=3

SQ=3

 slope (Tan∅)=\(\frac{perpendicular}{base}\)

                       =RQ/SQ

                        =3/3 =1

           TanФ=45°

UT=3

VT=-3

 slope (Tan∅)=\(\frac{perpendicular}{base}\)

                       =UT/VT

                        =3/-3 =-1

           TanФ=135°

Slope of QRS is 1, where as

Slope of TVU is -1

∴ RS and VU have the opposite and reciprocal slopes.

Learn more about slope here: https://brainly.com/question/3493733

#SPJ2

Answer:

I think the equation would be 345 = 121 + p

9514 1404 393

Answer:

  (a)  (5π -11.6) ft²

Step-by-step explanation:

The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.

  shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)

  shaded area = (5π -11.6) ft²

The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

To learn more click the below link

https://brainly.com/question/14214111

#SPJ11

The events of drawing a card from a standard deck and getting a 5 or a heart are not mutually exclusive.

To determine whether the events of drawing a card from a standard deck and getting a 5 or a heart are mutually exclusive or not, we need to examine the relationship between the two events.

Mutually exclusive events are events that cannot occur simultaneously. If one event happens, the other event cannot happen at the same time. On the other hand, non-mutually exclusive events are events that can occur simultaneously.

In this case, drawing a 5 and drawing a heart are not mutually exclusive events because it is possible for a card to be both a 5 and a heart. Specifically, the 5 of hearts exists in a standard deck of cards. Therefore, there are cards (specifically, the 5 of hearts) that satisfy both conditions simultaneously.

Since there is at least one card that satisfies both conditions, the events of drawing a 5 and drawing a heart are not mutually exclusive.

Learn more about events here: https://brainly.com/question/30169088

#SPJ11

Answer:

3x128 = 384

Step-by-step explanation:

Answer:

i think its 15 gallons of water if you do the math you can see it

Step-by-step explanation:

Based on the 2017 data, post-secondary teachers, dental hygienists, and librarians are three options that are expected to earn between $55,000 and $74,999 based on their median pay.

The median pay is the midpoint of a set of salaries, where half of the workers earn less and half earn more. In this case, the link provided takes us to the 2017 median pay column for various occupations.

After reviewing the data, it appears that post-secondary teachers, dental hygienists, and librarians are expected to earn between $55,000 and $74,999 based on their median pay. The median pay for post-secondary teachers is $76,000, while the median pay for dental hygienists is $74,070. Lastly, the median pay for librarians is $59,050.

It's important to note that the median pay for carpenters, firefighters, and childcare workers are below $55,000. This means that half of the workers in these occupations earn less than $55,000 per year.

To know more about median here.

https://brainly.com/question/28060453

#SPJ4

Answer:

120 cm.

Step-by-step explanation:

The perimeter of a rectangle is found by adding up the length of all four sides. In this case, the length is 36 cm and the breadth is 24 cm. Therefore, the perimeter of the rectangular table-top is

2 (length + breadth) = 2 (36 + 24) = 2 × 60 = 120 cm.

Answer: d) 0.0469

Step-by-step explanation:

I honestly don't even know my mom answered this question-

There is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

Given, the Pearson correlation coefficient of +0.91,

There appears to be a strong +ve correlation between the number of cats she owns and the number of times an old widow was married.

It suggests that the more times a widow was married,the more cats she tends to own.

Approximately 82% of the variance in the number of cats owned can be explained by the number of times a widow was married is indicated by the coefficient of determination (r²).

Hence, we can say that there is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

Learn more about Pearson correlation coefficient here,

https://brainly.com/question/31801929

#SPJ4

Answer:

\(\boxed{2x-3}\)

Step-by-step explanation:

\(f(x)=3x-1\\ g(x)= x+2\)

\((f-g)(x)\\f(x)-g(x)\)

\((3x-1)-(x+2)\\ 3x-1-x-2\\2x-3\)

Answer:

y = 2x + 3

y = 2x -4

Step-by-step explanation:

for lines to be parallel, you need to have the same slope

the y intercept doesn't really matter, the intercepts just have to be different

Answer:

14x

Step-by-step explanation:

Answer:

$35.75

Step-by-step explanation:

.35 • 55

19.25

This is the amount off.

55-19.25

35.75

Answer:

19.25

Step-by-step explanation:

you set up a proportion x/55=35/100

you cross multiply the divide by the 100

then you subtract 19.25 from 55 which = 35.75

To construct a 4x2 matrix D such that AD=I2, we can use the following matrix: D = [0 0 1 0; 0 0 0 1]. It is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C.

Constructing a matrix D such that AD=I2

Let A = -1 be a 1x1 matrix. We want to construct a 4x2 matrix D such that their product AD is equal to the 2x2 identity matrix I2. We can use the following matrix for D:

D = [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

To verify that AD=I2, we can compute the matrix product:

AD = [-1 0 0 0; 0 -1 0 0] [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

= [0 0 -1 0; 0 0 0 -1]

= -I2

Note that D only uses 1 and 0 as entries.

Now, it is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C. To see why, we can use the definition of matrix multiplication. Let C be a general 4x2 matrix:

C = [c11 c12; c21 c22; c31 c32; c41 c42]

Then, we can compute CA as:

CA = [-1 0; 0 -1] [c11 c12; c21 c22; c31 c32; c41 c42]

= [-c11 -c12; -c21 -c22; -c31 -c32; -c41 -c42]

Since CA is a 4x2 matrix and 4 is a scalar, it is not possible for CA to be equal to 4. Similarly, since the entries of C are only 0 or 1, it is not possible for CA to be equal to 14.

Therefore, there is no matrix C that satisfies the equations CA=4 or CA=14.

To know more about matrix here:

https://brainly.com/question/28180105#

#SPJ11

Answer:

11

Step-by-step explanation:

The solution is in the attached file

Answer:

Please who knows the full question to this problem am unable to see the full question.....

Volume varies 1/P.

V=K/P.

21=K/1.

K=21.

The relation is V=21/P.

....if P=0.7 and K=21.

and the relation to solve the question is V=21/P then put the value of P in the formula which will be...

V=21/0.7.

V=30m^3.

This is my answer..i hope it helps

EXPLANATION

To determine how much is the income, we need to apply the following calculations:

(3500 + 368.49) - ((3500 + 368.49) x (0.0765 + 0.1075 + 0.0835)) = Income

Adding numbers:

(3868.49) - ((3868.49)*(0.2675)

Multiplying numbers:

= (3868.49) - 1034.82

Subtracting numbers:

= 2833.67

In conclusion, the income was $2833.67

Answer:

its $2,932.24

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation: If not this try 12/22

This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11

Answer:

2

Step-by-step explanation:

6x-3=5+2x

-2x on both sides

4x-3=5

+3 on both sides

4x=8

divide 4 on both sides

x=2

The cost of an apple is $1 and the cost of an orange is $2

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

x = apples

y = oranges

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

5x + 2y = 9

7x + 3y = 13

Multiply (1) by 3 and (2) by 2

15x + 6y = 27

14x + 6y = 26

Subtract

x = 1

So, we have

5(1) + 2y = 9

This gives

y = 2

Hence, the cost of orange is $2

Read more about equations at

https://brainly.com/question/13729904

#SPJ1

Line a and line b are neither parallel nor perpendicular.

We have,

If the slope of two lines is the same, the lines are parallel.

If the slope of one line is negatively reciprocal of the other slope of another line, the lines are perpendicular.

Now,

m1 = -8/5

m2 = 8/5

We see that,

m1 = -1/m2

-8/5 = -5/8

Not true.

Thus,

Line a and line b are not parallel nor perpendicular.

Learn more about slope here:

https://brainly.com/question/23087740

#SPJ1