Make a sketch that matches the description: E is between F and G. H is between F and E.

The common multiple of 14 and 28 is 28.

Common multiple:

A common multiple is defined as a whole number, a shared multiple of each set of numbers. The multiples common to two or more numbers are called the common multiples of those numbers.

Here we have to find the common multiple of 14 and 28.

Data given:

Two numbers = 14 and 28

We can also write these numbers as:

14 = 2 × 7

28 = 2² × 7

The common multiple of these numbers is 2² × 7

Therefore the common multiple of these numbers is 28.

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Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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Answer:

£20

Step-by-step explanation:

Gordon gets £5

Ratio 1:3

Malachy gets 3 times more as per ratio:

Total:

Answer:

the answer is b

Step-by-step explanation:

because im smart un like you

The auditing software can identify 63.7% of misreporting issues in accounting ledgers. The probability that no misreported transactions are found is 1 - 63.7% = 36.3%. The probability that at least half of the transactions are misreported is 1 - P(X  25) = 1 - P(X  24) P(X  24) = _(i=0)24 (50C_i) (0.363)i (1 - 0.363)(50 - i)  0.0001. The expected monetary gain is approximately -$49.8.

Given that an auditing software can identify 63.7% of misreporting issues in accounting ledgers. Let X be the number of accounting misreporting transactions identified by the software among 50 randomly selected transactions for the last 3 months.Probability that no misreported transactions are found:X follows a binomial distribution with n = 50 and p = 1 - 63.7% = 36.3%.P(X = 0) = (1 - p)^n = (1 - 0.637)^50 ≈ 0.0002Probability that less than 10 misreported transactions are found:

P(X < 10) = P(X ≤ 9)P(X ≤ 9)

= P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)P(X ≤ 9)

= ∑_(i=0)^9 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.99

Probability that at least half of the transactions are misreported:

P(X ≥ 25)P(X ≥ 25)

= P(X > 24)P(X > 24)

= 1 - P(X ≤ 24)P(X ≤ 24)

= ∑_(i=0)^24 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.0001

Expected monetary gain:Let Y be the amount of money that the firm gets to earn or pay. The probability distribution of Y can be shown below:Outcomes: $200, -$50, -$100

Probabilities: P(X = 0), P(0 < X < 10), P(X ≥ 25)P(X = 0)

= 0.0002P(0 < X < 10)

= 0.99 - 0.0002 = 0.9898P(X ≥ 25)

= 0.0001E(Y)

= ($200 x P(X = 0)) + (-$50 x P(0 < X < 10)) + (-$100 x P(X ≥ 25))E(Y)

= ($200 x 0.0002) + (-$50 x 0.9898) + (-$100 x 0.0001)≈ -$49.8

Therefore, the expected monetary gain is approximately -$49.8.

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Answer:

A. -5

Step-by-step explanation:

First of all this is a line that shows a negative slope.

Secondly, the formula for slope is rise/ run.

5 is your rise and 1 is your run, therefore: -5/1

And this can be reduced to :  -5

Answer:

17

Step-by-step explanation:

3(5)+2=17

3*5=15+2=17

Step-by-step explanation:

\((A-B) = ( - 2, \: - 2, \: - 2, \: - 2)\)

Answer:

\(3\)×\(10^{-10\)

Step-by-step explanation:

Expand all the numbers:

Find the biggest number:

The biggest number is the list is 0.0000000003 which is \(3\)×\(10^{-10\) which will be your answer!

Have a lovely day :)

Answer:

(6,7)

Step-by-step explanation:

Let B(x,y).

By the midpoint formula,

So, the coordinates of B are (6,7).

Answer:

\(x=-3\)   \(y=4\)

Step-by-step explanation:

to use elimination we need to be able eliminate one of the variables.

I will eliminate the x because it looks easier for this problem.

change the signs on the second equation (multiply both sides by -1)

now add the two equations together to eliminate the x

\(2x+3y=6\)

\(-2x-y=2\)

        \(2y=8\)

now solve for y by dividing both sides by 2

\(y=4\)

now that we know y = 4, we can plug this into one of the original equations for y.

I will use the second equation

\(2x+(4)=-2\)

now solve for x.

subtract 4 from both sides

\(2x=-6\)

divide both sides by 2

\(x=-3\)

if you are looking for a coordinate, it is \((-3,4)\)

Hope this helps!

Answer:

X = 34

Step-by-step explanation:

360-108 = 252

252-88 = 164

5x-6

164+6 = 170

170/5 = 34

3a+3(c+2) represents the new cost for three adults and three more children.

An algebraic equation is a mathematical statement that contains variables, constants, and operations that must be solved for a specific value.

For example, 2x + 5 = 11 is an algebraic equation where "x" is the variable and the goal is to solve for its value that makes the equation true.

To include the cost of 2 more child passes, Little can modify 3(a+c) to 3(a+c+2), which represents the cost of 3 children and 2 additional passes.

Little can add 2 to the value of c in both expressions:

3(a+c+2) represents the new cost for three adults and (c+2) children.

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The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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Answer:You have smoll pp

Step-by-step explanation:

1. is a central angle, therefore, the arc will have the same measurement as the angle. Set the equation:

Arc = Central Angle

2x - 7 = 47

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 7 to both sides of the equation:

2x - 7 (+7) = 47 (+7)

2x = 47 + 7

2x = 54

Next, divide 2 from both sides of the equation:

(2x)/2 = (54)/2

x = 54/2 = 27

27 is your answer.

2. is a inscribed angle, meaning that the angle measurement will be half of the arc. Set the equation:

212 = 2(13x - 24)

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, divide 2 from both sides of the equation:

(212)/2 = (2(13x - 24))/2

106 = 13x - 24

Next, add 24 to both sides of the equation:

106 (+24) = 13x - 24 (+24)

106 + 24 = 13x

130 = 13x

Finally, divide 13 from both sides of the equation:

(130)/13 = (13x)/13

x = 130/13

x = 10

10 is your answer.

3. is a central angle. The arc and the angle will, therefore, have the same measurement:

137 = 3x + 5

First, subtract 5 from both sides of the equation:

137 (-5) = 3x + 5 (-5)

137 - 5 = 3x

132 = 3x

Next, divide 3 from both sides of the equation to isolate the variable, x:

(132)/3 = (3x)/3

x = 132/3 = 44

44 is your answer.

4. is a inscribed angle. The arc will be twice the measurement of the angle.

86 = 2(2x + 3)

First, isolate the variable x by dividing 2 from both sides of the equation.

(86)/2 = (2(2x + 3)/2

43 = 2x + 3

Next, subtract 3 from both sides of the equation:

43 (-3)  = 2x + 3 (-3)

40 = 2x

Finally, divide 2 from both sides of the equation:

(40)/2 = (2x)/2

x = 40/2 = 20

20 is your answer.

~

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

Answer:

you can buy 5 cans

Step-by-step explanation:

$2 per can

have $10

10 divided by 2

5

Each twelve-inch square tile weighs approximately 27 ounces.

To calculate the weight of each tile in ounces, we need to convert the weight of the box from pounds to ounces and divide it by the number of tiles in the box. Since there are 16 ounces in a pound, the weight of each box is 36 pounds * 16 ounces/pound = 576 ounces.

If there are 20 tiles in each box, we divide the weight of the box (576 ounces) by the number of tiles (20) to get the weight of each tile: 576 ounces / 20 tiles = 28.8 ounces. Rounding to the nearest ounce, each twelve-inch square tile weighs approximately 27 ounces.


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Answer:

x does not equal - 49.

x = 49

Step-by-step explanation:

To find the square you multiply the square root.

- 7 × - 7 = 49

x ≠ - 49

x = 49

Answer:

I don't know the exact answer

Step-by-step explanation:

But it is non-Linear. Because it isn't a straight line.

Hope this helps some

Answer:

8.4

Step-by-step explanation:

Move the decimal point to create $2.8, which is 10% of $28. Once you have the 10% ($2.8) multiply it by 3 to get 30%.

The completed ANOVA table is

Source of variance  | SS   | df | MS   | F-ratio

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

Treatment          | 70   | 2  | 35   | -------

Error              | 30   | 22 | -----| -------

Total              | -----| ---| -----| -------

To complete the ANOVA table, we need to calculate the missing values for degrees of freedom (df), mean squares (MS), and the F-ratio.

Source of variance: Treatment

SS (Sum of Squares): 70

To calculate the degrees of freedom (df) for Treatment, we use the formula:

df = number of groups - 1

Since we are comparing 3 different vitamin supplements, the number of groups is 3.

df = 3 - 1 = 2

Now, let's calculate the mean squares (MS) for Treatment:

MS = SS / df

MS = 70 / 2 = 35

Next, we need to calculate the missing values for Error:

Given:

Source of variance: Error

SS (Sum of Squares): 30

To calculate the degrees of freedom (df) for Error, we use the formula:

df = total number of observations - number of groups

Since the total number of observations is 25 and we have 3 groups, the degrees of freedom for Error is:

df = 25 - 3 = 22

Finally, we can calculate the F-ratio:

F-ratio = MS Treatment / MS Error

F-ratio = 35 / (SS Error / df Error)

However, the value for SS Error is missing in the provided information, so we cannot calculate the F-ratio without that value.

In conclusion, the completed ANOVA table is as follows:

Source of variance  | SS   | df | MS   | F-ratio

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

Treatment          | 70   | 2  | 35   | -------

Error              | 30   | 22 | -----| -------

Total              | -----| ---| -----| -------

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Answer:

62 & 64 ............. .

Answer:

503

Step-by-step explanation:

1/2(20) × 52 - 17 = (10)(52) - 17 = 503

hi

you have twi points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

so  :      ( 5-6 )  /( -7- 5)  =     -1 /-12   =  1/12

Answer:

(2, - 6 )

Step-by-step explanation:

Use the mid point formula and equate to each coordinate of the midpoint

with endpoints (x₁, y₁ ) and (x₂, y₂ ) then

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

let S = (x, y) , then

\(\frac{x+0}{2}\) = 1 ( multiply both sides by 2 )

x = 2

and

\(\frac{y+2}{2}\) = - 2 ( multiply both sides by 2 )

y + 2 = - 4 ( subtract 2 from both sides )

y = - 6

Then S (2, - 6 )

Answer:

Step-by-step explanation:

Actually, it is 8.

3/8: nothing need be done.

3/4: Multiply top and bottom of the fraction by 2.

3*2 / 4*2 = 6/8

So the lowest common multiple is 8.

The factions become 3/8 and 6/8

The rate of change of what the cab company  charges is; $3.3 per mile

The rate of change is simply the slope of the graph which is the change in y-values per change in corresponding x-values. Thus;

Rate of change here is;

Slope = (y₂ - y₁)/(x₂ - x₁)

We are told that the cab company charges a one time pick up fee of $2 for every ride as well as a $1.10 charge for each mile travelled.

Thus;

Base fee = $2

Rate of change = 2 + 1.1

Rate of change = $3.3 per mile

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The probability of there being exactly 10 days with exactly 3 birthdays out of a group of 100 people is extremely low, approximately 4.63 x \(10^{-37}\)

To answer this question, we need to use the concept of probability. The probability of an event happening is the number of desired outcomes divided by the total number of possible outcomes.
In this case, the desired outcome is that there are exactly 10 days with exactly 3 birthdays. To calculate this probability, we need to consider the total number of ways that 100 people can be distributed across 365 days.
There are a total of \(365^{100}\) possible ways to distribute birthdays. However, not all of these possibilities are valid because we are looking for exactly 10 days with exactly 3 birthdays.
We can use the formula for combinations to calculate the number of ways that 10 days can be selected out of 365. This is given by:
C(365, 10) = 3.535 x \(10^{21}\)
For each of these combinations, we need to calculate the number of ways that exactly 3 people can be assigned to each of the 10 days. This is given by:
\(C(100, 3)^{10}\) = 7.917 x \(10^{61}\)
The total number of valid outcomes is the product of these two values:
3.535 x \(10^{21}\) x 7.917 x \(10^{61}\) = 2.798 x \(10^{83}\)
The probability of the desired outcome is then:
Desired outcomes / Total outcomes = \(2.798 * 10^{83} / 365^{100}\) = 4.63 x\(10^{-37}\)

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