A corporation is under orders to reduce the time office workers spend filling out their TPS reports. Previously the average time spent on the TPS report was 6.3 hours. In order to test whether the time to fill out the TPS report has been reduced, a sample of 48 office workers was randomly chosen, and their completion times recorded. The mean completion time for their TPS reports was 5.7 hours with a standard deviation of 1.8 hours. In order to test that the time to complete the TPS report has been reduced, state the appropriate null and alternative hypotheses.

Answer:

X=3

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Answer:

15

Step-by-step explanation:

Answer:

Amanda= 14

Boris = 88

Jose= 22

Step-by-step explanation:

Amanda= jose-8

Boris = 4×jose

Jose= Jose

total all = 124

(jose-8)+(jose×4)+(jose)= 124

so we substitute jose with X .

(X-8)+(4X)+(X)=124

6X-8= 124.

6X=124+8

X=132/6

X= 22.

so that total jose is 22, minus 8 we get Amanda, times 4 we get Boris.

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

Answer:

the ans is

Step-by-step explanation:

V=πr2h=π·32·6≈169.646

Answer:

x=30

m<G

3(30)-17

73

m<H

x+13

43

Step-by-step explanation:

Answer:

m∠G = 73°

m∠H = 43°

Step-by-step explanation:

Use the exterior angle theorem. The exterior angle theorem states that the exterior angle's measurement will be the sum of the two opposite interior angles. Set the equation:

(3x - 17) + (x + 13) = 116

First, combine like terms by simplifying:

3x + x - 17 + 13 = 116

4x - 4 = 116

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, add 4 to both sides of the equation:

4x - 4 = 116

4x - 4 (+4) = 116 (+4)

4x = 116 + 4

4x = 120

Next, divide 4 from both sides of the equation:

(4x)/4 = (120)/4

x = 120/4

x = 30

Plug in 30 for x for each angle measurement:

m∠G = 3x - 17

m∠G = 3(30)  -17

m∠G = 90 - 17

m∠G = 73°

m∠H = x + 13

m∠H = 30 + 13

m∠H = 43°

Check:

180 - 73 - 43 = 64 (Summation of a triangle's angle).

180 - 64 = 116 (Theorem of line).

Answer:

a.) her loss is 5 dollars

b.) her profit is 10 dollars

c.) she should sell them for $0.15

9514 1404 393

Answer:

  no

Step-by-step explanation:

The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.

The Pythagorean theorem would require for some width w ...

  w^2 +24^2 = 30^2

  w^2 = 900 -576 = 324

  w = √324 = 18

A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.

__

The attachment shows that a width of 16 inches is not consistent with a right-angle corner.

_____

Additional comment

If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.

Answer:

y= 25

i think

Step-by-step explanation:

Answer:

After 3 hours, both will have saved $21.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

so sorry if im too late...

Answer:

2

Step-by-step explanation:

Diagonals of a parallelogram bisects each other.

Therefore,

4x = 8

x = 8/4

x = 2

Or

5x = 3x + 4

5x - 3x = 4

2x = 4

x = 4/2

x = 2

Answer:

The highest height the ball achieves is 4.5125 meters.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

Quadratic function [tex]y = -0.2x^2 + 1.9x[/tex], which has [tex]a = -0.2, b = 1.9[/tex].

The maximum height of the ball is [tex]y_{v}[/tex].

Then

[tex]\Delta = b^2-4ac = (1.9)^2 - 4*(-0.2)(0) = 3.61[/tex]

[tex]y_{v} = -\frac{3.61}{4(-0.2)} = 4.5125[/tex]

The highest height the ball achieves is 4.5125 meters.

Answer:

16.6

Step-by-step explanation:

somtimes you gotta pay attention to you're math teacher

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Hypotenuse² = Base² + Length²

The height of the building is 32.8 feet

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building.

This can be written as,

Hypotenuse = 26 feet

Base = 20 feet

Height = height of the building

Now,

Applying the Pythagorean theorem.

Hypotenuse² = Base² + Length²

26² = 20² + Height²

Height² = 676 + 400

Height² = 1076

Height = √1076

Height = 32.8 feet

Thus,

The height of the building is 32.8 feet

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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The total amount of money charles must have had at the beginning is 36 pesos.

What are fractional linear equations and how one can solve it?

Linear equations which are in the form of fractions are referred as fractional linear equations.

an equation containing the unknown in the denominator of one or more terms (as a/x + b/(x + 1) = c)

It is frequently simplest to eliminate the fraction in the first step when dealing with fractions incorporated into linear equations. Typically, this entails locating the fraction's LCD and multiplying each term in the entire equation.

Solution:

Given:

Money left with charles = 12 pesos

Money spent = 2/3 of the total amount.

Find:

Total Money he had at first = ?

Step-1:

Let x denote the total amount of money he had at the beginning.

After spending 2/3 of his money he is left with 1/3 of part of his money.

Step-2:

So the equation can be written as:

1x/3 = 12

x = 36

Hence the total money he had at the beginning was 36 pesos.

Learn more about "Fractional linear equations" here-

brainly.com/question/14323743

#SPJ2

Answer:

the percentage increase is 360%

Step-by-step explanation:

The computation of the increase in percentage is shown below;

Given that

SOcial security credit as on 1978 is $250

And, the social security tax as on 2008 is $1,150

Now based on the above information

The percentage increase is

= ($1,150 - $250) ÷ ($250)

=  360%

Hence, the percentage increase is 360%

Answer:

B

Step-by-step explanation:

Answer:

Convert to a mixed number by placing the numbers to the right of the decimal over

1000000

. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

1154701/1000000

Step-by-step explanation:

Answer:

48-x

Step-by-step explanation:

6(x-2) + 5(x+12)-12x

6x-12+5x+60-12x

6x+5x-12x-12+60

-x+48

Answer:

y+3=1/4(x-8)

simplified -> y+3=1/4x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1/4(x-8)

y+3=1/4(x-8)

If you want it to be further simplified

y+3=1/4x-2

Answer:

1) A ; 2) D ; 3)B ; 4)C

Step-by-step explanation:

we can solve every option and see what trinomal result

A (2x-3)(x-3) = 2x^2 -6x-3x +9 = 2x^2-9x+9

B (2x+3)(x-3) = 2x^2 -6x+3x-9 = 2x^2-3x+9

C (2x-3)(x+3) = 2x^2+6x-3x-9 = 2x^2+3x-9

D (2x+3)(x+3) = 2x^2+6x+3x+9 = 2x^2+9x+9

Answer:

15 more weeks

Step-by-step explanation:

425 - 125 (what shes already saved)

300 divided by 20 (amount shes saving each week)

Result is 15, so 15 more weeks.

Hope this helped :)

If you mean how many weeks total, 125 according to the 20 dollars a week would bring it 22 weeks i think.. since the answer answer is 21.2 weeks exactly when you divide 425 by 20.

Answer: True!

Step-by-step explanation: Rhombuses are like squares with an 4 equivalent sides!

hope this helped have a nice day ! :)

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

Answer:

the first one on the top left corner

it it bc on the right side of the table is counting by twos and so therefore on the left should be added 2 with that number

Answer:

Top left.

Step-by-step explanation:

Because it's constant. X increases by 2 and y increases by 3.