Which of the following is 4.15 * 106 in standard notation?


A. 41.5000000


B. 415,000


C. 4,150,000


D. 4.15000000

Answer:

3/4

Step-by-step explanation:

1 / (1/3) = 3

1/4 * 3 = 3/4

Answer:

€960

Step-by-step explanation:

€800 + VAT at 20%

€800 + 20% of €800 =

= €800 + 20% * €800

= €800 + 0.2 * €800

= €800 + €160

= €960

Answer:

The amount of time it takes to ride 26 miles is 2.89 hours.

Step-by-step explanation:

Given : You ride your bike at 9 miles per hour.

To find : How long it will take you to ride 26 miles ?

Solution :

The equation given is [tex]9\times t=26[/tex]

Using distance formula,

[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

According to formula t represent the time taken to cover the distance.

Your speed in miles per hour is 9 miles per hour.

The number of miles you've traveled so far is 26 miles.

Solving the equation,

[tex]9\times t=26[/tex]

[tex]t=\frac{26}{9}[/tex]

[tex]t=2.89[/tex] hours

The amount of time it takes to ride 26 miles is 2.89 hours.

Answer:

D

Step-by-step explanation:

6 - x = -12

subtract 6 from each side

6 - 6 - x = -12 - 6

-x = -18

divide each side by -1

-x / -1 = -18 / -1

x = 18

Answer:

The answer is D.) 18

Step-by-step explanation:

Subtract 6 from both sides. Divide both sides by −1. The answer is 18.

Answer:

X-Intercept: (1.2,0)

Y-Intercept (0,.75)

Step-by-step explanation:

If you want fraction form then the

X-Intercept: (6/5,0)

Y-Intercept (0,3/4)

To find the x intercepts, you have to plug y=0 into the equation. After you plug in y=0, you get the equation 5x-9=-3 and once you solve that, you find that the x intercept = 1.2

Likewise, to find the y intercepts, you would plug x=0 into the equation. Once you do that, you get the equation -9=-8y-3 and when you solve for y you get an intercept of 3/4

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Answer:

x=26/5

Step-by-step explanation:

first you would multiply both sides by 2

then you woud end up with 6x- 14 = x+12

then combine like terms subtract x on both sides

5x=26 then divide both sides by 5

x=26/5

Answer:

Odds in against the team winning is 5 : 3

Step-by-step explanation:

Consider the provided information.

The odds against is the ratio of how many ways an outcome can't take place compared to how many ways it can take place.

Here the probability of winning its next match is 3/8.

That means total number of outcomes are 8.

Favorable outcomes are 3.

Therefore, the unfavorable outcomes are 8-3=5.

We need to find the odds against the team winning its next match.

Therefore, odds in against the team winning is 5 : 3

The probability of odds against the team winning is [tex]\frac{5}{8}[/tex]

To find the odds against the rugby team winning, subtract the probability of winning from 1 to get the probability of not winning and form a ratio of these probabilities, resulting in odds of 5:3 against the team winning.

The student is asking about the calculation of odds against a rugby team winning its next match given a certain probability of winning. First, we need to understand the probability of the team not winning (losing or drawing) because the odds against the team winning would be the ratio of it losing to it winning. Since the probability of winning is given as 3/8, the probability of not winning is 1 - 3/8 = 5/8. The odds against the team winning are therefore expressed as the ratio of the probability of not winning to the probability of winning, which is 5/8 to 3/8, or simply 5:3 when converted into odds format.

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Dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet

Given that  

Area of rectangular parking lot = 15000 square feet

Length is 20 feet more than the width.

Need to find the dimensions of rectangular parking lot.

Let assume width of the rectangular parking lot in feet be represented by variable "x"

As Length is 20 feet more than the width,

so length of rectangular parking plot = 20 + width of the rectangular parking plot

=> length of rectangular parking plot = 20 + x = x + 20

The area of rectangle is given as:

[tex]\text {Area of rectangle }=length \times width[/tex]

Area of rectangular parking lot = length of rectangular parking plot [tex]\times[/tex] width of the rectangular parking

[tex]\begin{array}{l}{=(x+20) \times (x)} \\\\ {\Rightarrow \text { Area of rectangular parking lot }=x^{2}+20 x}\end{array}[/tex]

But it is given that Area of rectangular parking lot = 15000 square feet

[tex]\begin{array}{l}{=>x^{2}+20 x=15000} \\\\ {=>x^{2}+20 x-15000=0}\end{array}[/tex]

Solving the above quadratic equation using quadratic formula

General form of quadratic equation is  

[tex]{ax^{2}+\mathrm{b} x+\mathrm{c}=0[/tex]

And quadratic formula for getting roots of quadratic equation is

[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

In our case b = 20, a = 1 and c = -15000

Calculating roots of the equation we get

[tex]\begin{array}{l}{x=\frac{-(20) \pm \sqrt{(20)^{2}-4(1)(-15000)}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{400+60000}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{60400}}{2}} \\\\ {x=\frac{-(20) \pm 245.764}{2 \times 1}}\end{array}[/tex]

[tex]\begin{array}{l}{=>x=\frac{-(20)+245.764}{2 \times 1} \text { or } x=\frac{-(20)-245.764}{2 \times 1}} \\\\ {=>x=\frac{225.764}{2} \text { or } x=\frac{-265.764}{2}} \\\\ {=>x=112.882 \text { or } x=-132.882}\end{array}[/tex]

As variable x represents width of the rectangular parking lot, it cannot be negative.

=> Width of the rectangular parking lot "x" = 112.882 feet  

=> Length of the rectangular parking lot = x + 20 = 112.882 + 20 = 132.882

Hence can conclude that dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet.

Tim ran a total of 3000 meters, which is three times the distance that Eric ran. By dividing Tim's distance by three, we find that Eric ran 1000 meters.

To solve for the distance Eric ran, we need to first determine the total distance Tim ran and then divide that by three as Tim's distance is three times longer than Eric's.

Tim's speed is 300 meters per minute, and he ran for 8 minutes before having 600 meters left to run. To calculate the distance Tim ran:

Therefore, the distance that Eric ran was 1000 meters.

Answer:

x=811/238, y=36/119. (811/238, 36/119).

Step-by-step explanation:

4x+(x-y/8)=17

2y+x-(5y+2/4)=2

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

4x+x-y/8=17

5x-y/8=17

40x-y=136

y=40x-136

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

2y+x-5y-2/4=2

2y-5y+x-1/2=2

-3y+x=2+1/2

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

-3y+x=5/2

-3(40x-136)+x=5/2

-120x+408+x=5/2

-119x=5/2-408

-119x=5/2-816/2

-119x=-811/2

119x=811/2

x=(811/2)/119

x=(811/2)(1/119)=811/238

y=40(811/238)-136

y=16220/119-136

y=36/119

x=811/238, y=36/119.

Answer: 40,320

Step-by-step explanation: Let's say that there is person A,B,C,D,E,F,G,H. and 8 chairs. For the first chair, 8 different people could potentially sit in it, making 8 different possibilities. No matter who sits there, the logic follows the next table. However, since one person is sitting in the first chair, there are 7 different possibilities about who would be sitting in the second chair. If you multiply the two together, there are 56 different possibilities just for the first and second chair. For the third chair, there are 6 different possibilities about whom could sit. Multiply 56*6 and you get 336 possibilities. Keep multiplying out and you get a grand total of 40,320 different arrangements!

Answer:

5040

Step-by-step explanation:

The answer is (8 - 1)!

The reason is that the first person is fixed. Any place is the same as any other place. After that there are 7! choices for the next position.

Answer: 5040

Answer:

Step-by-step explanation:

Yes

First you add 7 to both sides b/c the 7 would be negative. Then your left with 6x=18. Then you divide both sides by 6 and get 3

Answer:

Yes 3 is a solution.

Step-by-step explanation:

6(3) - 7 = 11 6 times three equals 18 so then 18 minus 7 equals 11 so yes.

Answer:

a) $19,023.63

b) $19,046.02

c) $19,061.13

d) $19,068.74

Step-by-step explanation:

P = 15000

t = 6

r = 0.04

a) Compounded semiannually means 2 times per year, so n = 2.

A = 15000 (1 + 0.04/2)^(2×6)

A = 19023.63

b) Compounded quarterly means 4 times per year, so n = 4.

A = 15000 (1 + 0.04/4)^(4×6)

A = 19046.02

c) Compounded monthly means 12 times per year, so n = 12.

A = 15000 (1 + 0.04/12)^(12×6)

A = 19061.13

d) Compounded continuously means we use the continuous equation:

A = 15000 e^(0.04×6)

A = 19068.74

Answer:

For the given function, Slope is [tex]\frac{7}{9}[/tex] and y-intercept is -2.

Step-by-step explanation:

The given function in x is :

    [tex]k(x)=\frac{7}{9}x-2[/tex]              .....1

Since, we know that the general form of equation of a line is :

     [tex]y=mx+c[/tex]                             .....2

where, y is the dependent variable, x is independent variable, m is the slope and c is the y intercept of the line.

On comparing equation 1 and 2, we get :

[tex]k(x) = y[/tex];

[tex]m = \frac{7}{9}[/tex]; and

[tex]c=-2[/tex];

Thus, we can conclude that

slope of function is [tex]\frac{7}{9}[/tex] and y-intercept is -2.

Answer:

120 i think i don't know

Step-by-step explanation:

Answer:

Step-by-step explanation:

The scatter plot is attached. There you can match the value assigned to $350,000.

Using a red line, we find that the answer is between 115 and 125, closer 125 than 115.

So, if you look all choices, there are two possibilities, C and D. However, $115 million can't be the right answer because our graphic approximation is closer to 125.

Therefore, the right answer is D) $120 million.

If the company were to spend $350,000 on advertising, the predicted sales would be $120 million.

Consecutive even integers are -8, -6 and -4

Step-by-step explanation:

Let  be the first even integer then the next two integers will be: x+2 and x+6

According to given property, we get

[tex]x - 2(x+2) = (x+4)+8\\x-2x-4 = x+4+8\\-x-4 = x+12\\-x-x = 12+4\\-2x = 16[/tex]

Dividing both sides by -2

[tex]\frac{-2x}{-2} = \frac{16}{-2}\\x = -8[/tex]

The two next integers are:

x+2 = -8+2 = -6

x+4 = -8+4 = -4

Verification:

[tex]-8-2(-6) = -4+8\\-8+12 = +4\\4 = 4[/tex]

Hence, Consecutive even integers are -8, -6 and -4

Keywords: Linear equation, Variables

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Answer:

Step-by-step explanation:

a) To find the household income of the top 4%, we can use the standard Normal distribution table or calculator to find the Z-score associated with the 96th percentile.

The Z-score corresponding to the 96th percentile is approximately 1.75. We can then use the Z-score formula to find the income value:

Z = (x - mean) / standard deviation

1.75 = (x - 69953) / 90000

x - 69953 = 1.75 * 90000

x - 69953 = 157500

x = 227453

Therefore, the household income of the top 4% is about $227,453.

b) The answer in part a should be taken with some caution as the Normal model assumes that the incomes follow a bell-shaped distribution, which may not be the case for all income distributions.

c) The Normal model may not be a good one for incomes because incomes often have a skewed distribution with a long tail to the right, meaning there are a small number of individuals with very high incomes that can greatly affect the mean and standard deviation. In addition, incomes may have outliers or gaps that are not well captured by a Normal distribution.

Answer:

30%

Step-by-step explanation:

Here we want to setup the equation

[tex]y = a - (a\times x)[/tex]

where y is the discounted price, a is the normal price and x is the percent off. so now we wanna plug in known values and solve for percent off.

[tex]45.49 = 64.99 - (64.99x)[/tex]

through algebra,

[tex] - 19.5 = - (64.99x)[/tex]

[tex] \frac{ - 19.5}{ - 64.99} = x[/tex]

[tex]x = .3000...[/tex]

so in percentage that is 30%

Answer:

-87= 1 + 8x

-88= 8x

x= -11

Basically bring over the one to the other side of the equation and solve for x by dividing.

Live Fund receive [tex]\bold{\$2500 N}[/tex] it they sold half thier holding in Marks Brothers.

Solution:

Given: Sale price of Live Fund holding is 5000 dollar

To find: Amount that Live Fund will get if they sell half of their holding in Marks Brothers.

Assume the total holdings held by Live Fund in Marks Brothers as N

Therfore, half the number of shares or (half the holdings) of Live Fund will be [tex]\frac{N}{2}[/tex].

Thus, if each share is valued at [tex]\$5000[/tex], then the total value of the number of shares sold will be as follows,

[tex]\Rightarrow5000\times\frac{N}{2}\text{ dollars }\rightarrow\frac{5000\times N}{2}\text{ dollars }[/tex]

[tex]\Rightarrow2500 N\text{ dollars }[/tex]

Hence, Live Fund will receive [tex]\$2500 N[/tex]

There are 9240 possible ways in which a president, a secretary and a treasurer can be selected from the 22 members on the board of directors.

Give that the board of directors of a corporation must select a president a secretary and a treasurer.

Need to calculate in how many possible ways this can be accomplished if there are 22 members on the board of directors

Here we are assuming that one person can hold only one position means one if get selected for president he is out of the race for remaining positions that are secretary and treasure

Lets for sake of understanding, we simplify our question.

Lets say there are 3 members A , B and C  . In how many ways two positions of Secretary and  treasurer can be filled .  

So for selecting secretary  we have three option that are A , B or C.

And once secretary is selected , number of option for selecting treasure  is two.

So it is found that number of selecting 2 positions  for  3 members is product of option available for selecting first position that is secretary  multiplied by option available for selecting second position that is treasurer   = 3 x 2 = 6

So now applying same logic for selecting members for 3 positions  from 22 menbers  we get

For selecting president members available = 22

Once president is selected, then option available for selecting a Secretary = 21

And one secretary is also selected, then option available for selecting a treasure = 20

So number of ways in which three positions can be filled by 22 member = 22 x 21 x 20 = 9240

Hence there are 9240 possible ways in which a president , a secretary and a treasurer can be selected from the 22 members on the board of directors.

Answer:

Total savings  = $63  +  12 ( m)  

: m  = number of driveways shoveled

Step-by-step explanation:

Here, the money earned for each road David shovels = $15

The number of driveway shoveled by David = 12

The total money saved  David has after he is done with his work = $243

Now, The number of money saved by shoving 12 driveways  

= 12 x ( Money earned by shoveling 1 driveway)

= 12 x ( $15) = $ 180

Total savings  = His previous savings  + Money earned from Shovel work

⇒  $243  =   His previous savings + $ 180

⇒ His previous savings = $243  - $180 = $63

Now, we can write his total savings as:

Total savings  = $63  + 12 ( m)  

: m  = number of driveways shoveled

The first plant produces 5x + 26 more items daily than the second​ plant

Given that , A company has two manufacturing plants  

The daily production levels of one company is 7x + 19 items  

And daily production levels of another company is 2 x - 7 items

To find the number of items first plant produce more than the second plant, wed need to subtract the number of items produced by second plant from the the number of items produced by first plant.

Extra items produced by 1st plant = daily production of 1st plant - daily production of 2nd plant

Extra items produced count = 7x + 19 – (2x – 7)

= 7x + 19 – 2x + 7  

= 7x – 2x + 19 + 7 = 5x + 26  

Hence, the 1st plant produces 5x + 26 items more than 2nd plant

Answer:

I believe the answer is false because there is no facts that say true.

Answer:

believe the answer is false because there is no facts that say true.

Step-by-step explanation:

Answer:

4 bags of okra

Step-by-step explanation:

To find the unit rate: multiply the numerator by the reciprocal of the denominator.

unit rate =

1/2 divided by 1/4

= 1/2× 4/1

=4/2

= 2 bags per gallon

Therefore, double the recipe: 2 × 2 = 4 bags of okra

Add 6 on both sides, canceling out that -6

3x = 21

Divide both sides by 3 to isolate that variable and get your answer

x = 7.

Answer:

x=7

Step-by-step explanation:

3x-6+6=15+6

3x=21

3x/3=21/3

x=7

Answer:mark is 7. Mike is 4

Step-by-step explanation:x+y=11. Y=2x-10 thus substituting for y in equation1 we have x+2x-10=11. 3x-10=11. 3x=11+10. 3x=21. X=21/3. X=7. Mike =(2×7)-10=14-10=4

Step-by-step explanation:

Mark's age is x

so Mike's age is

[tex]2x - 10[/tex]

and we know that the sum of their ages is eleven so:

2x+x- 10 = 11

3x-10=11/+10

3x=21/÷3

x=7

Mark is 7 years old and

Mike is 4 years old.

Answer:

The slope intercept  of the given line equation AB is [tex]y  = \frac{1}{2}  ( x)- \frac{5}{2}[/tex]

Step-by-step explanation:

Here,the two given point s are A ( -9,-2) and B (1,3).

Now, the slope m of the line AB  =  [tex]= \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]\implies m = \frac{3 - (-2)}{1 - (-9)}  = \frac{3+2}{1+9}  = \frac{5}{10}  = \frac{1}{2}[/tex]

or, the slope of line AB = 1/2

Now, the POINT SLOPE FORM of any equation with point (x0,y0) and slope m is given as :

y - y0 = m (x -x0)

So, the line equation of AB is given as :

[tex]y - 3 = \frac{1}{2}  ( x-1)\\\implies y  =3 +  \frac{1}{2}  ( x-1)\\or, y  = \frac{1}{2}  ( x)- \frac{5}{2}[/tex]

SLOPE INTERCEPT form is y = mx + c

Hence, the slope intercept  of the given line equation AB is [tex]y  = \frac{1}{2}  ( x)- \frac{5}{2}[/tex]

Answer:

Personal emails = 274 emails.

Step-by-step explanation:

Given,

Business and personal emails = 578

Therefore, there are two types of emails. Again, there are 30 fewer emails in personal emails.

The total number of emails after deducting the fewer personal emails = (578 - 30) = 548 emails.

Therefore, each type of email, according to the question = (548/2) = 274 emails

So, personal emails are 274. Business emails = (274 + 30) = 304 emails.

The problem involves setting up and solving an equation based on the information given: that the number of personal emails is 30 fewer than the number of business emails, and the total is 578. By doing this, we deduce that there are 274 personal emails.

The problem tells us that there is a total of 578 emails, both business and personal combined. Furthermore, we know that there are 30 fewer personal emails than business emails. We can use this information to create an equation and solve for the number of personal emails.

First, we can represent the number of business emails as 'x'. So, the number of personal emails would be 'x - 30'. The sum of the business and personal emails is 578, so our equation is x + (x - 30) = 578.

Solving this equation gives us: 2x - 30 = 578, 2x = 608 and finally x = 304. This is the number of business emails. To get the number of personal emails, you subtract 30 from the total business emails (as the question states). So, there are 304 - 30 = 274 personal emails.

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he collected a total of $5,772 from selling all the cans.

Mr. Smith collected $5,772 from selling all the cans.

He sold 340 cans at full price for a total of $5,100.

He sold the remaining 39 cans at a discount of 20% each, for a total of $672.

Therefore, he collected a total of $5,772 from selling all the cans.

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