Round the following to three decimal places.
: A. 1.4366 B. 0.8792
C. 0.3455

Answer: $292.30

Step-by-step explanation:

The table showing the data is missing, so i have attached it.

Answer:

0.8

Step-by-step explanation:

We want to find the probability that a randomly selected employee at this government agency prefers a four day work week or is under 30.

Now, we are told that the government agency has 6000 employees. Also, from the attached table, we see that the  number of people who prefer a 4 day work week are a total of:

600 + 1200 + 2100 = 3900

Thus, probability of people who prefer a 4 day work week = 3900/6000 = 39/60

Also, we see that total number of people aged under 30 = 600 + 300 = 900

Thus, probability of people aged under 30 is;

900/6000 = 3/20

Thus;

probability that a randomly selected employee at this government agency prefers a four day work week or is under 30 = 39/60 + 3/20 = 48/60 = 4/5 = 0.8

Answer:

ounces, cups, pints, quarts, and gallons

Step-by-step explanation:

Answer:The slope of a line is the ratio of the 'change' in y to the 'change' in x (ratio of vertical change to horizontal change) often referred to as rise compared to run. .

Step-by-step explanation: heart it up

Answer: 3 cm

Step-by-step explanation:

Answer:

I'm not sure if I'm right but you should try X = the x value of the vertex.

Answer:

Step-by-step explanation:

You know that lines PQ and RS are parallel and line XY is a transverse line. This means that XMP and QMN are equal because they are vertical angles. Now set the equations equal to each other because they are.

10x-7=6x+21 and solve for x

4x-7=21

4x=28

x=7 boom

Answer:

False

Step-by-step explanation:

The same function input (the first number in the pair) cannot have two different outputs (the second number in the pair).

(6, 4) 4 is one output.

(6, -4) -4 is another output.

Answer:

i think its p ≤ 85 or p ≥ 125

Step-by-step explanation:

p can be 85 and higher but can be passed 125 but it can be 125 which makes the equality signs have the line under them meaning less than or equal to, and could also mean greater than or equal to.

The  inequality that represents P the scores for students who are eligible for tutoring or extension activities ​is p ≤ 85 or p ≥ 125.

Average is the mean of the data set obtained by summing all the values of the data set and then dividing it by the number of data in the set.

The average score is 105

The score required for tutoring is at least 20 points higher than average

The score required for extension activities is at least 20 points lower than average

P is the scores for students who are eligible for tutoring or extension activities ​

Then p ≤ 105 -20 = p ≤ 85

p ≥ 105+20 = p ≥125

p ≤ 85 or p ≥ 125

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Answer:

cos60=b/h

1/2= b/3

b=  3/2=1.5

again

sin60=p/h

[tex]\sqrt3[/tex]/2= p/3

p =3[tex]\sqrt3[/tex]/2

Step-by-step explanation:

Answer:

1.5 in. and [tex]\frac{3\sqrt{3} }{2}[/tex]in.

Step-by-step explanation:

easier method:

angle opp. to 30 degrees is 1/2 of hypotonuse:

3/2=1.5 inches

angle opp. to 60 degrees is [tex]\sqrt{3}[/tex] of 30 degree angle:

3/2*[tex]\sqrt{3}[/tex]=3[tex]\sqrt{3}[/tex]/2

Answer:

T

Step-by-step explanation:

T is the vertex because vertex is the point from which the arms of any angle form.

Answer:

y = 8

Step-by-step explanation:

Step 1: Write out equation

13 + 3y = 37

Step 2: Subtract 13 on both sides

3y = 24

Step 3: Divide both sides by 3

y = 8

Answer:

y=8

Step-by-step explanation:

37-13 = 24

3y=24

3/24=8

y=8

The value of ( 3 x 1,000 ) - ( 2 x 100 ) is 2,800.

Here,

Given that,  ( 3 x 1,000 ) - ( 2 x 100 )

What is subtraction of two number?

Subtraction is the operation of taking the difference of two numbers.

Now,

Firstly the value of 3 x 1000 = 3000

And, 2 x 100 = 200

⇒ 3000 - 200 = 2800

Hence, The value of ( 3 x 1,000 ) - ( 2 x 100 ) is 2,800.

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Answer:

55

Step-by-step explanation:

First you need to know how much is 2/5 of 550 since that is how much she put in the jar. 2/5 * 550 = 220 and then you need to find a 1/4 of that since that is how much she takes from th jar for vecation. 1/4 * 220 = 55 which is the awnser

Step-by-step explanation:

AB = AC, so mark the two sides with single tick marks.

m∠ACD = 128°, so label the angle 128°.

∠ACB is supplementary to ∠ACD, so:

m∠ACB + m∠ACD = 180°

m∠ACB + 128° = 180°

m∠ACB = 52°

ΔABC is an isosceles triangle, so m∠B = m∠ACB.

m∠B = m∠ACB

m∠B = 52°

Angles of a triangle add up to 180°, so:

m∠A + m∠B + m∠ACB = 180°

m∠A + 52° + 52° = 180°

m∠A = 76°

Answer is .47

Fourty seven hundredths in standard form is .47,

Answer:

False

Step-by-step explanation:

We know that this statement is false because a positive number times a negative number will produce a negative answer.

Answer:

False

Step-by-step explanation:

You will get a positive number only by multiplying two positive numbers or two negative numbers.

Answer:(-infinity,-29/6)

Step-by-step explanation:

Interval notation of this problem.

Answer:   The curve representing the relationship includes the point  (1, -3.2) .

The growth factor is 0.6666 .

An earthquake with an energy level  1  of has a magnitude of -3.2 .

Hello my Alpha.... bows down*

The curve representing the relationship includes the point  (1, -3.2).

The growth factor is 0.6666. An earthquake with an energy level of has a magnitude of – 3.2.

It is given that the magnitude of an earthquake depending on the energy .it produces can be modeled using the equation M = 0.6666 log x – 3.2.

It is required to find growth factor, point and magnitude.

The amount of energy released is represented as E and an earthquake release the magnitude represented by M which is given in the question. This magnitude is represented as equation using logarithm of the height of the wave that is the scale measured by seismograph.

Thus, The curve representing the relationship includes the point  (1, -3.2).

The growth factor is 0.6666 .

An earthquake with an energy level of has a magnitude of – 3.2.

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Answer:

400,000

Step-by-step explanation:

The reciprocal of 15 1/4 is 4/61

Step-by-step explanation:

15 1/4 multiply 15 by 4 and then add 1 it will give you 61/4 then you change into reciprocal which will be 4/61

Answer:

V'= ( 5,2 )

U'= ( 8,2 )

T'= ( 7,12 )

S'= ( 3,12 )

Answers:

Check out the diagram below

===================================================

Explanation:

When reflecting over horizontal lines like this, the x coordinate stays the same as the original point. Only the y coordinate changes.

To find what the y coordinate changes to, we need to measure the vertical distance from the point to the line. Point S has a y coordinate of y = -5 and the vertical distance to the line of reflection (y = 1) is |-5-1| = |-6| = 6 units. So we move 6 units up to go from point S to the line of reflection. We must move another 6 units to get to the location for S' where its reflected point would end up, which has y coordinate y = 7.

The same applies for the other points as well. Point T also goes up 6 units to get to y = 1, then it moves another 6 units to get to y = 7

Points V and U only move up 1 unit to get to the green dotted line of reflection. So they'll move only one additional unit to have their reflected points have y coordinates of y = 2.

The diagram hopefully visually summarizes everything discussed so far. The mirroring line cuts the distance from S to S' in half, same for T to T', and so on.

=49

Solution by Formulas

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

141÷27

Applying the fractions formula for division,

=14×71×2 =982

Simplifying 98/2, the answer is =49

Answer:

slope is zero

Step-by-step explanation:

it is a horizontal line which means the slope all points that lie on the line have a -coordinate

[tex]\huge\boxed{No\;slope}[/tex]

There is no rise over run therefore, there is no slope.

You have to have rise over run to be able to have a slope.

28x + 44y = 964.40

21x + 33y = 723.30

Let's multiply the first equation by 4 and the second by -4

84x + 176y = 3857.6

-84x - 132y = -2893.2

Add the equations together.

0 + 44y = 964.4

Simplify

44y = 964.4

Divide both sides by 44

y = 964.4/44

Since we have the value of y, let's plug 964.4/44 into y for the first equation.

28x + 44(964.4/44) = 964.40

Simplify the left side

28x + 964.4 = 964.4

Subtract 964.4 from both sides

28x = 0

Divide both sides by 0

x = 0

In conclusion,

y = 964.4/44

x = 0

Answer:

The following are the solution to the given points:

Step-by-step explanation:

for point A:

[tex]\to A={(x,y,z)|3x+8y-5z=2} \\\\\to for(x_1, y_1, z_1),(x_2, y_2, z_2) \varepsilon A\\\\ a(x_1, y_1, z_1)+b(x_2, y_2, z_2) = (ax_1+bx_2,ay_1+by_2,az_1+bz_2)[/tex]

                                        [tex]=3(aX_l +bX_2) + 8(ay_1 + by_2) — 5(az_1+bz_2)\\\\=a(3X_l+8y_1- 5z_1)+b (3X_2+8y_2—5z_2)\\\\=2(a+b)[/tex]

The set A is not part of the subspace [tex]R^3[/tex]

for point B:

[tex]\to B={(x,y,z)|-4x-9y+7z=0}\\\\\to for(x_1,y_1,z_1),(x_2, y_2, z_2) \varepsilon B \\\\\to a(x_1, y_1, z_1)+b(x_2, y_2, z_2) = (ax_1+bx_2,ay_1+by_2,az_1+bz_2)[/tex]

                                             [tex]=-4(aX_l +bX_2) -9(ay_1 + by_2) +7(az_1+bz_2)\\\\=a(-4X_l-9y_1+7z_1)+b (-4X_2-9y_2+7z_2)\\\\=0[/tex]

[tex]\to a(x_1,y_1,z_1)+b(x_2, y_2, z_2) \varepsilon B[/tex]

The set B is part of the subspace [tex]R^3[/tex]

for point C: [tex]\to C={(x,y,z)|x<y<z}[/tex]

In this, the scalar multiplication can't behold

[tex]\to for (-2,-1,2) \varepsilon C[/tex]

[tex]\to -1(-2,-1,2)= (2,1,-1)[/tex] ∉ C

this inequality is not hold

The set C is not a part of the subspace [tex]R^3[/tex]

for point D:

[tex]\to D={(-4,y,z)|\ y,\ z \ arbitrary \ numbers)[/tex]

The scalar multiplication s is not to hold

[tex]\to for (-4, 1,2)\varepsilon D\\\\\to -1(-4,1,2) = (4,-1,-2)[/tex] ∉ D

this is an inequality, which is not hold

The set D is not part of the subspace [tex]R^3[/tex]

For point E:

[tex]\to E= {(x,0,0)}|x \ is \ arbitrary) \\\\\to for (x_1,0 ,0) ,(x_{2},0 ,0) \varepsilon E \\\\\to a(x_1,0,0) +b(x_{2},0,0)= (ax_1+bx_2,0,0)\\[/tex]

The  [tex]x_1, x_2[/tex] is the arbitrary, in which [tex]ax_1+bx_2[/tex]is arbitrary  

[tex]\to a(x_1,0,0)+b(x_2,0,0) \varepsilon E[/tex]

The set E is the part of the subspace [tex]R^3[/tex]

For point F:

[tex]\to F= {(-2x,-3x,-8x)}|x \ is \ arbitrary) \\\\\to for (-2x_1,-3x_1,-8x_1),(-2x_2,-3x_2,-8x_2)\varepsilon F \\\\\to a(-2x_1,-3x_1,-8x_1) +b(-2x_1,-3x_1,-8x_1)= (-2(ax_1+bx_2),-3(ax_1+bx_2),-8(ax_1+bx_2))[/tex]

The [tex]x_1, x_2[/tex] arbitrary so, they have [tex]ax_1+bx_2[/tex] as the arbitrary [tex]\to a(-2x_1,-3x_1,-8x_1)+b(-2x_2,-3x_2,-8x_2) \varepsilon F[/tex]

The set F is the subspace of [tex]R^3[/tex]

Answer:

Step-by-step explanation:

-3t + 3 - 7t = -90 - 7

Simplify both sides of the equation

That's

- 10t + 3 = - 97

Using the subtraction property subtract 3 from both sides of the equation

We have

- 10t + 3 - 3 = -97 - 3

- 10t = - 100

Divide both sides by - 10

[tex] \frac{ - 10t}{ - 10} = \frac{ - 100}{ - 10} [/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

-3t + 3 - 7t = -90 - 7

-10t + 3 = -97

-10t = -100

t = 10