At a firm, ten entry-level employees earn $40,000 a year, 6 junior-level employees earn $60,000 a year, and 3 managers earn $80,000 a year per person respectively. Find the weighted average of the firm.

Answer:

Show the table or make ur question a little more clear so I can help

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

Turn 4 and 1/2 into a decimal.

4.5

Divide 279 by 4.5

279/4.5=62

You can cut 62 4 and 1/2 inch pieces.

Answer:

I am pretty sure that it is  C

Step-by-step explanation:

A 1,3 so 3 < 3 no not true

   x,y

B -12,50   50< -36 Also not true

    x  ,  y

C  9  ,  4   4<27 Yes    4< 5 YEPPP

D 4,10   10<12 Yes          10<5 NOOPPPPPEEEE

Answer:

D. (0, 7).

Step-by-step explanation:

Moving from (4,3) to (2, 5) we move 2 to the left; 2 - 4 = 2 then 2 up 3 + 5 = +2.

So the point C is 2-2, 5+2 = (0, 7).

Answer:

(4, 4)

Step-by-step explanation:

All you really need to do is multiply C's original coordinates with the scale factor. So (2, 2), becomes (4, 4).

Answer:

( 4 , 4 )

Step-by-step explanation:

original C coordinates : ( 2 , 2 )

since the problem is telling us to dilate by the factor of 2 we multiply both 2's by 2.

( 2 ‧ 2 ) ( 2 ‧ 2 )

= ( 4 , 4 )

Answer:

8 and 9

Step-by-step explanation:

If x is the smaller integer, and x + 1 is the larger integer, then:

(x + 1)² + 3x = 105

x² + 2x + 1 + 3x = 105

x² + 5x − 104 = 0

(x + 13) (x − 8) = 0

x = -13 or 8

Since x is positive, x = 8.  So the two integers are 8 and 9.

Answer:

Step-by-step explanation:

Hope you can see it.

Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Step-by-step explanation:

Given: [tex]H_0:p=0.45 \\ H_a:p>0.45[/tex]

The p-value for this hypothesis test is 0.025.

The level of significance is α=0.05

As p-value< α  ∵0.025< 0.05

[if p-value< α , we reject [tex]H_0[/tex]]

then, we reject the null hypothesis.

i.e. We have sufficient evidence to support the alternative hypothesis.

Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Answer:

18+18 as point XYZ is in centroid of Q

Step-by-step explanation:

so it's equal.

36.which is option A.

the ancient Greek used the golden ratio

Answer:

An important proportion that the Ancient Greeks used was the Golden Mean, the a0

Step-by-step explanation:

Also known as Golden Ratio, Divine Proportion, or Golden Section

Answer:

[tex]Circumference = 21.99 \ m[/tex]

Step-by-step explanation:

Circumference = [tex]\pi d[/tex]

Given that d = 7 m

[tex]Circumference = (3.14)(7)\\[/tex]

[tex]Circumference = 21.99 \ m[/tex]

Answer:

[tex]\boxed{21.98 \: \mathrm{meters}}[/tex]

Step-by-step explanation:

Apply formula for circumference of a circle.

[tex]C=\pi d[/tex]

[tex]d:diameter[/tex]

Take [tex]\pi =3.14[/tex]

Plug [tex]d=7[/tex]

[tex]C=3.14 \times 7[/tex]

[tex]C= 21.98[/tex]

Answer:

-3

Step-by-step explanation:

2x + 3 +7x = -24

Add the X together

9x +3 = -24

Bring over the +3. [when you bring over change the sign]

9x = -24 -3

9x = -27

-27 divide by 9 to find X

therefore answer is

x= -3.

Hope this helps

Answer:

x = -3

Step-by-step explanation:

question is

2x + 3 + 7x = -24

First you combine the like terms

2x and 7x you can add them so it will be 9x

so it will then it will be like this:

9x + 3 = -24

now you take the 3 and send it to the other side, and right now the 3 is positive so when it goes to the other side it will turn into -3

so

9x = -24 -3

again now you combine the like terms

-24 -3 = - 27

now you have

9x = -27

now just divide each side by 9

x = -27/9

x = -3

Sorry if this doesnt help

Answer:

23 dimes; 32 nickel

Step-by-step explanation:

Let n = number of nickels.

Let d = number of dimes.

A nickel is worth $0.05; n nickels are worth 0.05n.

A dime is worth $0.10; d dimes are worth 0.1d.

Number of coins:

d + n = 55

Value of the coins:

0.1d + 0.05n = 3.9

Solve d + n = 55 for d:

d = 55 - n

Substitute 55 - n for d in second equation.

0.1(55 - n) + 0.05n = 3.9

5.5 - 0.1n + 0.05n = 3.9

-0.05n = -1.6

n = 32

Substitute 32 for n in d + n = 55 and solve for d.

d + 32 = 55

d = 23

Answer: 23 dimes; 32 nickel

Answer:

False

Step-by-step explanation:

To find <A, we can do 5x - 80 = 3x + 20.

As we simplify, we will get 2x = 100, which is x = 50

Therefore, <A will be 50 degrees and not 45 degrees.

Also, if you need y, you can do:

3y - 7 = y + 7

2y = 14

y = 7

Answer: n = 2401

Step-by-step explanation:

Given;

Confidence level = 2% - 99%

n = ? ( which is the sample size is unknown ).

Solution:

Where;

n = [z/E]^2*pq

Since no known value for ( p ) estimate is given, the "least biased" estimate is p = 1/2

Substituting the given data into the formula.

n = [1.96/0.02]^2(1/2)(1/2)

n = 2401

The minimum number of truck drivers the statistician needs to sample for an accurate result is 2401

Answer:

462.61 yards.

Step-by-step explanation:

To solve, you need to find the measurement of the angle that forms a 90 degree angle with the 23.9 degree angle.

90 - 23.9 = 66.1 degrees.

Now that you have the angle, you can use TOA to solve for x (TOA = Tangent; Opposite over Adjacent).

tan(66.1) = x / 205

x / 205 = tan(66.1)

x = tan(66.1) * 205

x = 2.256628263 * 205

x = 462.6087939

So, you are about 462.61 yards from the cabin.

Hope this helps!

Answer:

x > 29

Step-by-step explanation:

−x<−29

Divide each side by -1, remembering to flip the inequality

x > 29

Answer:

Step-by-step explanation:

-x < -29   change the signs

x > 29

Answer:

Step-by-step explanation:

cool

Answer:

It is the first graph

Step-by-step explanation:

Just got it right on the test review :)

Inequalities help us to compare two unequal expressions. The graph shows that all the values of x that satisfies the given inequality are x>7. Thus, the correct option is A.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be solved as,

[tex]\dfrac29(x+3) > 4(\dfrac59)\\\\\dfrac{2x+6}{9} > \dfrac{20}{9}\\\\2x + 6 > 20\\\\2x > 20 - 6\\\\x > \dfrac{14}{2}\\\\x > 7[/tex]

Hence, the graph shows that all the values of x that satisfies the given inequality are x>7. Thus, the correct option is A.

Learn more about Inequality:

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Answer:

see explanation

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle then the median is the average of the values either side of the middle.

Given

3   8   14   19   22   29   33   37   43   49

                            ↑ middle is between 22 and 29

median = [tex]\frac{22+29}{2}[/tex] = [tex]\frac{51}{2}[/tex] = 25.5

The upper quartile [tex]Q_{3}[/tex] is the middle value of the data to the right of the median.

29   33   37   43   49

               ↑

[tex]Q_{3}[/tex] = 37

The lower quartile [tex]Q_{1}[/tex] is the middle value of the data to the left of the median.

3   8   14   19   22

           ↑

[tex]Q_{1}[/tex] = 14

The min is the smallest value in the data set, that is 3

The max is the largest value in the data set, that is 49

The 5 number summary is

3,  14,  25.5,  37,  49

Answer:

x < -( 8-2b) /a  a > 0

Step-by-step explanation:

−ax + 2b > 8

Subtract 2b from each side

−ax + 2b-2b > 8-2b

-ax > 8 -2b

Divide each side by -a, remembering to flip the inequality ( assuming a>0)

-ax/-a < ( 8-2b) /-a

x < -( 8-2b) /a  a > 0

Answer: [tex]x<\frac{-8+2b}{a}[/tex]

                  [tex]a>0[/tex]

Step-by-step explanation:

[tex]-ax+2b>8[/tex]

[tex]\mathrm{Subtract\:}2b\mathrm{\:from\:both\:sides}[/tex]

[tex]-ax>8-2b[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-ax\right)\left(-1\right)<8\left(-1\right)-2b\left(-1\right)[/tex]

[tex]ax<-8+2b[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}a[/tex]

[tex]\frac{ax}{a}<-\frac{8}{a}+\frac{2b}{a};\quad \:a>0[/tex]

[tex]x<\frac{-8+2b}{a};\quad \:a>0[/tex]

Answer: 0.0899.

Step-by-step explanation:

Given: CNNBC recently reported that the mean annual cost of auto insurance is 1048 dollars, the standard deviation is 282 dollars.

Sample size : n= 55

Let [tex]\overline{X}[/tex] be the sample mean.

The probability that a sample of size n =55 is randomly selected with a mean less than 997 dollars:

[tex]P(\overline{X}<997)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{997-1048}{\dfrac{282}{\sqrt{55}}})[/tex]

[tex]=P(Z<-1.3412)\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(Z<1.3412)\\\\=1-0.9101\ \ \ \ [\text{By z-table}]\\\\ =0.0899[/tex]

Hence, the required probability = 0.0899 .

Answer:

The distance between the art gallery and the office supply store is 42 miles

Step-by-step explanation:

Notice that the segment that joins the office store with the art gallery, has a length that equal the distance between the art gallery and the bank, plus the distance between the bank and the office supply store. That is;

32.1 mi + 9.9 mi = 42 mi

Answer:

Step-by-step explanation:

Let the length of first piece be L .

Length of second piece = 56 - L

radius of circle made from first piece

R = L / 2π

Area of circle = π R²

= L² / 4π

side of square made fro second piece

= (56 - L) / 4

area of square = ( 56-L)² / 16

Total area

A = L² / 4π + ( 56-L)² / 16

For smallest possible combined area

dA / dL = 0

dA / dL = 2L /  4π - 2( 56-L)/16 =0

2L /  4π = 2( 56-L)/16

.159 L = 7 - .125 L

.284 L = 7

L = 24.65 inch

other part = 56 - 24.65

= 31.35 inch .

Answer:

theres the screenshot of it

The solution to prove the sum of the interior angles of a triangle is 180° is

∠1 + ∠2 + ∠3 = 180°  ( angles in a straight line )

∠2 + ∠5 + ∠6 = 180°  ( interior angles of a triangle )

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Now , the angles inside the triangle are ∠2 , ∠5 and ∠6

Now , the lines l₁ and l₂ are two parallel lines

From the figure ,

The measure of ∠1 = The measure of ∠5 ( alternate interior angles )

The measure of ∠3 = The measure of ∠6 ( alternate interior angles )

Now , for a straight line , the measure of angle = 180°

So , ∠1 + ∠2 + ∠3 = 180°  ( angles in a straight line ) ( angle addition )

And , the sum interior angles of a triangle is 180°

So , ∠2 + ∠5 + ∠6 = 180°  ( interior angles of a triangle ) ( substitution )

Hence , the sum of the angles inside a triangle is 180°

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Answer: A, (0, -3)

Step-by-step explanation:

Inequalities, once graphed, take the form of the image you attached:

Linear inequalities are straight lines, sometimes dotted and sometimes solid, with shading on one side of the line.

Any point in the shading is a correct solution to the inequality.

In this case, the line is solid, so any point on the line is a solution to the inequality.

Looking at answer choice A: (0, -3), it lies on the line as the y-intercept.

The correct choice is A.

Answer:

4 boys

Step-by-step explanation:

Let x represent boys and y represent girls

Hence, x : y = 3 : 2

x/y = 3/2  

2x = 3y ------ (1)

x/y + 4 = 3/3

3x = 3(y + 4)

3x = 3y + 12 --------- (2)

From (1): x = 3y/2

Substitute x into (2) we have:

9y/2 = 3y + 12

9y = 6y + 24

9y - 6y = 24

3y = 24

∴ y = 8

From (2) : 3x = 24 - 12 = 12

∴ x = 4

Hence there Four boys

Answer:

[tex]D(21) = 1.612\ ft[/tex]

Step-by-step explanation:

The question has missing details;

[tex]D(t) = \frac{5.4}{1+2.9e^{-0.01t}}[/tex]

Given that t = 21

Solve for Diameter, D

To do this, we simply substitute 21 for t in the above function

[tex]D(t) = \frac{5.4}{1+2.9e^{-0.01t}}[/tex] becomes

[tex]D(21) = \frac{5.4}{1+2.9e^{-0.01 * 21}}[/tex]

[tex]D(21) = \frac{5.4}{1+2.9e^{-0.21 }}[/tex]

Solve for [tex]e^{-0.21}[/tex]

[tex]D(21) = \frac{5.4}{1+2.9* 0.81058424597}[/tex]

Simplify the denominator

[tex]D(21) = \frac{5.4}{1+2.35069431331}[/tex]

[tex]D(21) = \frac{5.4}{3.35069431331}[/tex]

[tex]D(21) = 1.61160628069[/tex]

[tex]D(21) = 1.612\ ft[/tex] (Approximated)

Hence, the diameter of the 21 year old tree is 1.612 feet

Answer:

Second choice is correct.

Step-by-step explanation:

Simple interest = $12600

Compounded interest = $14656

Best Regards!

Hello!

Answer:

Choice 1.

Step-by-step explanation:

We can go through each answer choice and examine whether it represents the question:

1) This does not represent the question because 10% of 6 is 0.6. The question is asking to find a number that 6 = 10% of, not finding 10% of 6.

2) Correct because a number multiplied by 10%, or 0.1, should be equal to 6 to answer the question.

3) Correct because 6 is equivalent to 10% of the answer, which is stated in this answer choice.

4) Correct because 6 should be 10% of the answer.

Therefore, the incorrect choice would be Choice 1.