We have to fill the chart but i already did that i just need help with the questions

(B) find the mean of the data set

(C) Find the median

(D) find the mode of trje data set

(E) find the range of the data set

Answer:

42x-27

Step-by-step explanation:

There are 24,000 possible four-character license plates following the given pattern.

To determine the number of four-character license plates that consist of a consonant, followed by a vowel, followed by a consonant, and then a digit, we need to calculate the possibilities for each position:

1. Consonant: There are 26 letters in the alphabet, and 6 vowels (including y). Therefore, there are 20 consonants.

2. Vowel: There are 6 vowels (including y).

3. Consonant: Again, there are 20 consonants.

4. Digit: There are 10 digits (0-9).

To calculate the total number of combinations, we multiply the possibilities for each position: 20 (consonants) × 6 (vowels) × 20 (consonants) × 10 (digits) = 24,000.

So, there are 24,000 possible four-character license plates following the given pattern.

Learn more about license  here:

https://brainly.com/question/29170549

#SPJ11

A photo of a woman standing between two long rows of sewing machines in a factory. The factory owners relied on skilled workers to run the machines. Thus, option b is correct.

The manufacturing system's key advantages were lower costs for the business and increased worker productivity. The factory administration had direct control over the workers, allowing for regular monitoring of their output. Resources may be used more efficiently if they are shared across several employees.

First, equipment hastened the production of goods. This is because a machine might perform routine tasks skillfully and dependably. The ability of equipment to decrease the number of people required to complete a task is its second advantage. They were able to avoid paying employees by doing this, which allowed them to save money.

To learn more about the advantages of machinery

https://brainly.com/question/9193269

#SPJ4

The complete question is-

The photo shows a woman watching a row of machines in a factory. A photo of a woman standing between two long rows of sewing machines in a factory. what advantages did machinery provide for factory owners?

a. machines could do the work faster than skilled workers by hand.

b. factory owners relied on skilled workers to run the machines.

c. the machines produced a better product than skilled workers by hand.

d. factory owners needed more unskilled workers to run the machines.

The cost of operating the dryer for a month is $6.

An electric clothes dryer has a power rating of 4000W. Assume that a family does five loads of laundry each week for 4 weeks. Further assume that each load takes one hour. A. Find the energy used in both J and kWh.

1J = 1W.s

Energy used = Power x time= 4000W x (5 x 4) x 1h= 80000Wh= 80 kWh

Thus, the energy used in kWh is 80 kWh.1kWh = 1000Wh

1kWh = 3.6 x 10^6 J

Thus, the energy used in J is 80 x 3.6 x 10^6 = 288 x 10^6 J.B. If the cost of electricity is $.075/kWh, find the cost of operating the dryer for a month (4 weeks).

The energy used by the dryer for a month is 80 kWh.

Cost of operating the dryer for a month = Energy used x Cost per kWh= 80 kWh x $0.075/kWh= $6

Therefore, the cost of operating the dryer for a month is $6.

To know more about cost of operating: https://brainly.com/question/15183833

#SPJ11

The value of the 24th term is 16.

where

a = first term

d = common difference

n = number of terms

Therefore,

6 = a + 3d

8 = a + 7d

let's find a and d

2 = 4d

d = 2 / 4

d = 1 / 2

6 = a + 3 / 2

a = 6 - 3 /2

a = 4.5

Therefore, the 24th term can be found as follows;

24th term = 4.5 + 23(0.5)

24th term = 4.5 + 11.5

24th term = 16

learn more on arithmetic progression here; https://brainly.com/question/9882454

The standard deviation of quiz scores is 0.

To find the standard deviation:

Therefore, the standard deviation of quiz scores is 0.

know more about standard deviation here:

https://brainly.com/question/475676

#SPJ4

Answer: #1 = 15            #2= 5

Step-by-step explanation:

3 x  5/12=  15/12

15 x  1/12=15/12

5 x 3/12=15/12

TRUST ME I'm smart

We can expect that about 15 out of the 50 people we observe would be talking on their cell phones while driving.

To calculate this, we simply multiply the proportion of people who talk on their cell phones while driving (30%) by the number of people we are observing (50):

30% * 50 = 0.30 * 50 = 15

Therefore, we can expect to see approximately 15 out of the 50 people we observe talking on their cell phones while driving. It is important to note that this is only an estimate and may not be exactly accurate due to random variation.

Learn more about proportion

https://brainly.com/question/31020414

#SPJ4

Answer:

A coordinate plane with a line passing through (0, negative 4) and (2, 0).

Step-by-step explanation:

rewrite the equation in standard form (Ax+By=C). the equation in standard form is 2x-y=4. to find the intercepts, let one of the values equal 0.

y intercept (let x equal 0)

2x-y=4

2(0)-y=4

-y=4

divide both sides by -1

y=-4

the y intercept is (0,-4)

x intercept (let y equal 0)

2x-y=4

2x-0=4

2x=4

divide both sides by 2

x=2

the x intercept is (2,0)

Answer:

Option C. A coordinate plane with a line passing through (0, negative 4) and (2, 0) or known as the hird graph.

Step-by-step explanation:

EDG

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

A = 8, B = 1/8, C = 13/5, D = 13/50

Step-by-step explanation:

4a = 32

divide both sides by 4

4a/4 32/4 =8

Basically repeat this process on every equation, and remember to divide both sides by the number on the left.

Answer:

it has to be 12*16=10*10+10*2+10*6+2*6=100+20+60+12=192

Step-by-step explanation:

Answer:

117,649

Step-by-step explanation:

7^35 x 7^-29

= 7^6

=117,649

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

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

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

2.75 · \(10^{5}\)

Step-by-step explanation:

Hope this helps! :)

Answer: 2.75 x 10^5

Step-by-step explanation:

Hope this helps!

The duration of this bond is 6.5 years.

Duration is a measure of a bond's sensitivity to changes in interest rates. To calculate the duration of this bond, we need to consider the present value of the bond's cash flows and the timing of those cash flows. In this case, the bond has a face value of $1,000, a coupon rate of 10 percent, and annual coupon payments.

First, we calculate the present value of the bond's cash flows. Since the bond has a coupon rate of 10 percent, the annual coupon payment is $100 ($1,000 x 10%). The bond has a remaining maturity of seven years, so there will be seven coupon payments in total. We can calculate the present value of these cash flows using the formula for the present value of an ordinary annuity:

Present Value = Coupon Payment x [1 - (1 + interest rate)^(-number of periods)] / interest rate

Assuming an interest rate of r, we have:

Present Value = $100 x [1 - (1 + r)^(-7)] / r

Next, we need to find the yield to maturity (YTM) of the bond. YTM is the rate of return an investor would earn by holding the bond until maturity. Since the bond is currently selling for $1,104 in the market, we can set up the following equation:

$1,104 = Present Value + (Coupon Payment / (1 + r)^7)

By solving this equation for r, we can find the yield to maturity. Using a financial calculator or spreadsheet software, we can determine that the yield to maturity is approximately 7 percent.

Now, we can calculate the duration of the bond. The duration formula is the weighted average time until the bond's cash flows are received, where the weights are the present values of the cash flows. In this case, we have seven annual cash flows, so the duration can be calculated as follows:

Duration = [(1 x Present Value of Year 1) + (2 x Present Value of Year 2) + ... + (n x Present Value of Year n)] / Present Value of the Bond

Plugging in the values, we get:

Duration = [(1 x Present Value of Year 1) + (2 x Present Value of Year 2) + ... + (7 x Present Value of Year 7)] / Present Value of the Bond

Calculating the present values for each year using an interest rate of 7 percent, we find:

Present Value of Year 1 = $100 / (1 + 0.07)^1

Present Value of Year 2 = $100 / (1 + 0.07)^2

...

Present Value of Year 7 = $100 / (1 + 0.07)^7

After calculating the present values for each year and plugging them into the formula, we find that the duration of the bond is approximately 6.5 years.

Therefore, the correct answer is 6.5 years.

To know more about interest rates, refer here:

https://brainly.com/question/28272078#

#SPJ11

The mass of the yoghurt is 101 g.

Dessert mass is 185 g

The ratio of the yoghurt is 2 : 3

Let 2x + 3x = 5x , 5x is the yoghurt mass is equal to 185 g

\( \bf \longrightarrow{5x = 185 }\\ \bf \longrightarrow{x = \frac{185}{5} } \\ \bf \longrightarrow{x = 37}\)

\(\therefore\) Mass of yoghurt = 3x

\( \bf \longrightarrow{3 \times 37 = 101g}\)

Answer:

C

Step-by-step explanation:

The slope of C is 3/2 and it stays consistent unlike the other ones.

Answer:

less than 1

Step-by-step explanation:

I know this because since it is a negative exponent you go backwards.

The profit increased at an average pace of $600 between Hour 5 to Hour 10.

An indicator of the how one dimension changes in proportion to another is a rate of change.

The table for the price is given as;

Hour                Profit

0                        $0

2.5                     $500

5                        $900

7.5                     $1200

10                        $1500

After 5 hours, the profit is 900, and after another 5 hours, the profit is 1500.

In order to determine that average rate of change, we must take 900 away from 1500.

1500-900 = 600

Thus, an average rate of change for profit during Hour 5 to Hour is therefore $600.

To know more about the rate of change, here

https://brainly.com/question/25184007

#SPJ4

Answer: 1/10, 1/7, 2/9, 2/5, 7/11, 1/4, 1/10, 1/7,  1/9, 1/2 , 1/8, 1/12, 0/1, 0/0
1/13, 1/3, 1/4

Step-by-step explanation: i think i know all the answers

Answer:

4. 3

Step-by-step explanation:

If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.

You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.

Hope that helps :)

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

Explanation:

The three angles of this triangle are

The square angle marker represents 90 degrees. It's also referred to as "a right angle".

As a rule, the three angles of any triangle always add to 180. Let's use this fact to solve for x

(angle1)+(angle2)+(angle3) = 180

(20x)+(90)+(26x-2) = 180

(20x+26x) + (90-2) = 180

46x+88 = 180

46x = 180 - 88 .... subtract 88 from both sides

46x = 92

x = 92/46 ........ divide both sides by 46

x = 2

Now that we know what x is, we can find angle A

angle A = 20x = 20*2 = 40 degrees

-------------

As extra info, we could also find the other angle with this x value

26x - 2 = 26*2 - 2 = 52 - 2 = 50 degrees

The three angles of the triangle are: 40, 50, 90 which add to 40+50+90 = 180. This helps confirm our answer.

Answer: $76.00

Step-by-step explanation: 57 divided by 6 is 9.5 . Now 9.5 X 8 = 76

Answer:

-3/2

Step-by-step explanation:

Question Completion

Answer:

\((a)120^\circ\\(b)60^\circ\)

Step-by-step explanation:

In the diagram BC(Main Street) is parallel to AD(Willow Lane)

Therefore, ABCD is a Trapezoid.

Since in a trapezoid, adjacent angles are supplementary

Therefore:

\(\angle C+ \angle D=180^\circ\\\angle C+ 60^\circ=180^\circ\\\angle C=180^\circ- 60^\circ\\\angle C=120^\circ\)

Since \(AB \cong CD\), ABCD is an Isosceles Trapezoid.

In an Isosceles trapezoid, the base angles are congruent:  

Therefore:\(\angle A \cong \angle D$ and \angle B \cong \angle C\)

Therefore:

\(\angle A \cong \angle D=60^\circ\\\angle B \cong \angle C=120^\circ\)

(a)

The angle between Main Street and the west path is \(\angle CBA = 120^\circ\)

(b)

The angle between the west path and Willow Lane is \(\angle BAD =60^\circ\)

Var(X) (write it up to second decimal place) Var(X) is 1.98 (rounded to two decimal places).

A probability distribution is a mathematical function that describes the likelihood of different outcomes or events in a random process. It assigns probabilities to the possible values that a random variable can take.

A random variable is a variable whose value is determined by the outcome of a random process, such as rolling a dice or tossing a coin. The values of the random variable correspond to the possible outcomes of the random process, and the probability distribution gives the probability of each of these outcomes.

To find the variance of the given probability distribution, we need to first calculate the expected value of X:

μ = E(X) = ∑[xi * f(xi)] for all values xi in the distribution

μ = (10.1) + (20.4) + (30.15) + (40.25) + (5*0.1) = 2.65

Next, we can use the formula for variance:

Var(X) = E[(X - μ)^2] = ∑[ (xi - μ)^2 * f(xi) ] for all values xi in the distribution

Plugging in the values, we get:

Var(X) = (1-2.65)^20.1 + (2-2.65)^20.4 + (3-2.65)^20.15 + (4-2.65)^20.25 + (5-2.65)^2*0.1

Var(X) = 1.9825

Therefore, Var(X) is 1.98 (rounded to two decimal places).

To learn more about robability distributionvisit: https://brainly.com/question/14210034

#SPJ11

The equivalent equation to the given logarithm is log₃9=2.

A log function can be used to determine how much a given number must always be raised to reach the desired result.

aˣ = b

This can be written as;

logₐ b = c

For the expression;

3² = 9

Given what we know about just the logarithm, the following is how we can represent the given equation:

3² = 9

log₃9 = 2

Consequently, the equivalent equation of 3² = 9 could be expressed as log₃9=2.

To know more about the logarithmic equation, here

https://brainly.com/question/237321

#SPJ4

The correct question is-

Which logarithmic equation is equivalent to 3^2 = 9?