5 red balls, 2 white balls and 3 blue balls are arranged in a row. If the balls of the same color are not distinguished from each other. How many possible ways can they be ordered?

Answer:

x=4

Step-by-step explanation:

In order to solve for x, we must isolate x on one side of the equation.

x+3x+5=21

First, combine like terms. x and 3x are both terms with variables, and can be combined.

(x+3x) + 5=21

4x + 5=21

5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

4x+5-5= 21-5

4x= 16

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

4x/4=16/4

x= 16/4

x=4

Let's check our solution. Plug 4 in for x and solve.

x+3x+5=21

4+3(4)+5=21

4+12+5=21

16+5=21

21=21

This solution checks out, so we know our answer is correct.

x is equal to 4, x=4.

Answer:

x = 4

Step-by-step explanation:

x + 3x + 5 = 21

4x + 5 = 21

4x = 21 - 5

4x = 16

x = 16/4

x = 4

verify:

4 + 3*4 + 5 = 21

4 + 12 + 5 = 21

Answer:

4x + 3y

Step-by-step explanation:

Answer:

4x+3y

Step-by-step explanation:

Step-by-step explanation:

Let coordinates of B be ( x , y )

X coordinate of B = (-1 + x) / 2 = - 3

Y coordinate of B = (-1 + y) / 2 = -3

Therefore, coordinates of B are ( - 5, - 5 ).

Answer:

1246 2/3 feet

Step-by-step explanation:

17 miles/hour * 5280 feet/1 mile * 1 hour/60 minutes * 1 minute/ 60 seconds =

24.93 feet/second * 50 seconds = 1246 2/3 feet

Answer: about 25 feet

Step-by-step explanation:

( the exact number for the problem would be 24.933.... so round )

convert 17 miles into a # of feet

convert 1 hr into a # of secs

# of feet=89760

# of secs=3600

divide 89760/3600

you get 24.9333..........

Round to the nearest tenth and get 25

Answer:

0.027

Step-by-step explanation:

The p-value for Jane's chi-square test for goodness of fit is computed by using value of test statistic and degree of freedom.

Using Excel function CHISQ.DIST.RT(7.24,2) for computing p-value for chi-square goodness of fit test. 7.24 is the value of test statistic and 2 is degree of freedom. The resultant value is 0.026783. By rounding off to three decimal places the required p-value is 0.027.

Answer:

16.64

Step-by-step explanation:

Distance between any two points (x1,y1) and (x2,y2) is given by

Distance = [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]

Given point

X(-3, 8) and Y (6, -6).

The distance XY will be

[tex]XY = \sqrt{(-3-6)^{2} + (8 - (-6)^{2} }\\XY = \sqrt{(-9)^{2} + (8 +6)^{2} }\\XY = \sqrt{81 + 196 }\\XY = \sqrt{277 }\\XY = 16.64[/tex]

Thus, distance between X(-3, 8) and Y (6, -6) is 16.64  , rounded to nearest tenth.

Answer:

7.7 seconds

Step-by-step explanation:

t = √(h / 4.9)

t = √(290.57 / 4.9)

t = √59.3

t ≈ 7.7

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

Explanation:

The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.

The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula

m = (y2-y1)/(x2-x1)

to get the same result.

Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).

Answer:

0.1998

Step-by-step explanation:

This is a conditional probability question.

We solve this question using Bayes's Theorem of conditional probability.

P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]

Based on the information in the question, we have the following values.

Suppose it snows in Greenland once every 27 days.

Probability (it snows) = P(A) = 1/27

= 0.037037037

Approximately = 0.0370

Probability ( it doesn't snow) = P(A') = 1 - 0.0370 = 0.963

Probability ( that when it snow, glaciers grow) = P(B|A) = 26% = 0.26

Probability( that is doesn't snow , glaciers grow) = P(B|A)' = 4% = 0.04

Using the Bayes's Theorem of conditional probability

Probability that it is snowing in Greenland when glaciers are growing is =

P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]

= [0.26 × 0.0370] ÷ [(0.26 × 0.0370) + (0.04 × 0.963)]

= 0.00962 ÷( 0.00962 + 0.03852)

=0.00962 ÷ 0.04814

= 0.199833818

Approximately to 4 decimal places ≈ 0.1998

Therefore, probability that it is snowing in Greenland when glaciers are growing is 0.1998

Answer:

[tex]\huge\boxed{f(-9) = 184}[/tex]

Step-by-step explanation:

[tex]f(x) = 3x^2 +5x-14[/tex]

Put x = -9

[tex]f(-9) = 3(-9)^2+5(-9)-14\\f(-9) = 3(81) -45-14\\f(-9) = 243-45-14\\f(-9) = 198-14\\f(-9) = 184[/tex]

Steps to solve:

f(-9) = 3(-9)^2 + 5(-9) - 1

~Solve using PEMDAS

f(-9) = 3(81) - 45 - 1

f(-9) = 243 - 45 - 1

f(-9) = 198 - 1

f(-9) = 197

Best of Luck!

Answer:

x=19

Step-by-step explanation:

2(x+6)=3(x-4)+5

2x+2*6=3x-3*4+5

2x+12=3x-12+5

12+12-5=3x-2x

19=x

Answer:

distribute 2 to (x+6) and 3 to (x-4)

Step-by-step explanation:

Answer:

answer below

Step-by-step explanation:

from the question the

mean = ∑x/n

∑x = 317

n = 16

mean = 19.8125

x           x-Ц           x-Ц²

19       -0.8125      0.66015625

20       0.1875      0.03515625

19          -0.8125      0.66015625

20         0.1875      0.03515625

18         -1.8125       3.28515625

21          1.1875        1.41015625

17           -2.8125      7.91015625

19           -0.8125      0.66015625

24           4.1875       17.53515625

23            3.1875      10.16015625

21           1.1875        1.41015625

21            1.1875        1.41015625

17             -2.8125      7.91015625

20          -0.8125      0.66015625

20           -0.8125      0.66015625

18            -1.8125       3.28515625

∑(x-Ц)² = 56.44

s.d = 1.9

b.

19.81 + 2*1.9= 23.61

19.81-2*1.9 = 16.01

=

Answer:

2<∛13<3      1<∛6<2

Step-by-step explanation:

Lets find the integers a and b  ∛13 lies between.

a<∛13<b

a³<13<b³

=> a=2 so 2³=8   and b=3 so 3³=27    8<13<27

Similarly     a<∛6<b

a³<6<b³

a=1    and b=2

Answer:

Everyday mathematics would include lower-level math skills and comprehension, such as adding 5 cups of flour and 2 cups of sugar to some batter. Academic mathematics would include more complex math skills and comprehension, such as quadratic equations and interval notation.

Step-by-step explanation:

Everyday mathematics would include lower-level math skills and comprehension, such as adding 5 cups of flour and 2 cups of sugar to some batter. Academic mathematics would include more complex math skills and comprehensions, such as quadratic equations and interval notation. With one, you could pick up such skills just by living life. With the other, there is a higher chance that attending an educational institute would bestow such skills and understanding.

Answer:

???

Step-by-step explanation:

???

Answer:

[tex]\huge \boxed{x=12}[/tex]

Step-by-step explanation:

Let the unknown number be x.

12+24=2(6+x)

Switch sides.

2(6+x)=12+24

Expand brackets.

12+2x=12+24

Subtract 12 from both sides of the equation.

12+2x-12=12+24-12

2x=24

Divide both sides of the equation by 2.

(2x)/2=24/2

x=12

12+24=2(6+x )

36=2(6+ )

36\2=(6+x)

18=(6+x)

18-6=x

12=x

the answer is 12

Answer:

Non-answer

Step-by-step explanation: Don't like my answer? Let me know!

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(a*x^2+b*x+c)=0  

STEP

1

:

Equation at the end of step 1

 y - ax2 - xb - c  = 0  

STEP

2

:

Solving a Single Variable Equation

2.1     Solve   y-ax2-xb-c  = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.

Answer:

Step-by-step explanation:

Hello,

Let's develop both expressions and try to re factorise.

[tex]\forall (a,b,x,y) \in \mathbb{R}^4 \\ \\ (a^2+b^2)(x^2+y^2)=(ax+by)^2\\ \\<=>(ax)^2+(ay)^2+(bx)^2+(by)^2=(ax)^2+(by)^2+2(ax)(by)\\ \\<=> (ay)^2+(bx)^2-2(ay)(bx)=0\\ \\<=> (ay-bx)^2=0\\ \\<=> ay-bx=0\\ \\<=> \boxed{\sf \bf ay=bx}[/tex]

Thanks

Answer:

Here we have the case where:

"one chip is eaten in 1/4 mins."

(that means unit rate, the amount of a given variable that we need to do a unit of another variable)

Then the unit rate would be:

4 chips per minute.

Or, in a more mathematical way to write this:

4 chips/min.

Now we could write this in other units, for example.

We know that 1 min = 60s.

Then we have that (1/4) min = 60s/4 = 15s.

Then we have the unit rate:

1 chip every 15 seconds, or:

(1/15) chips/second.

Now, the variable in this case is time, t  = time, let's multiply bot our unit rates by the same amount of time, and see if we have the same outcome.

Let's use t = 2 min.

1) (4chips/min)*2min = 8 chips.

2) ((1/15) chips/second)*2min

First, 2 min = 120 seconds.

((1/15) chips/second)*2min = ((1/15) chips/second)*120seconds = 8 chips.

So both unit rates are equivalent.

Answer:

Here we have two points R and S.

How many lines pass through both R and S?

Well, we can have only one line that passes through both R and S.

Because we are working with lines, we can only see a plane X-Y here.

Then the points R and S can be written as:

R = (x1, y1) and S = (x2, y2)

Now, a line or a  linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Now, let's suppose that we have two different lines that pass through points R and S.

From above, both lines must have the same slope, because they pass through the same points.

y1 = a*x + b

y2 = a*x + c

So the only thing that our lines can have different is the y-intercept, but the y-intercept acts as a vertical shift.

This means, if we have different values in the y-intercept, we will have two parallel lines.

And two parallel lines can never pass through the same points, which means that we can not have different values for the y-intercept.

Then the two lines must be identical.

Then there is only one line that passes through points S and R at the same time,

Answer:

74

Step-by-step explanation:

60,000 + 14,000

ANS 14%

ANSWER: 74

The project's IRR is approximately 13.45%.

We have,

To calculate the project's internal rate of return (IRR), we need to find the discount rate at which the net present value (NPV) of the project's cash flows is equal to zero.

Given:

Initial cost (C0) = $60,000

Net cash inflow per year (CF) = $14,000

Number of years (n) = 9

Cost of capital (r) = 14% = 0.14

To calculate the IRR, set up the equation:

[tex]0 = C0 + (CF / (1 + r)^1) + (CF / (1 + r)^2) + ... + (CF / (1 + r)^n)[/tex]

[tex]0 = 60,000 + (14,000 / (1 + r)^1) + (14,000 / (1 + r)^2) + ... + (14,000 / (1 + r)^9)[/tex]

By using a financial calculator or software, the IRR for this project is found to be approximately 13.45% when rounded to two decimal places.

Therefore,

The project's IRR is approximately 13.45%.

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:

272 thats the umm..never mind heheh

Answer:

Yes

Step-by-step explanation:

Because a - - - - - - - - - - b

Same as b-----------------a

Answer:

Step-by-step explanation:

Let the original trail be x

From the question 150% of the trail is

12 mile

That's

150% of x = 12

So we have

[tex] \frac{150}{100} x = 12 \\ \\ \frac{3}{2} x = 12[/tex]

Multiply through by 2

That's

[tex]2 \times \frac{3}{2} x = 12 \times 2[/tex]

We have

3x = 24

Divide both sides by 3

We have the final answer as

x = 8

Therefore the length of the original trail is

Hope this helps you

Answer:

28.60×.35=10.01

10.01+28.60=$38.61

Answer:

maybe : 1,2,5,6,9,10,13,14,17,

Step-by-step explanation:

I think it's in odd/even number pattern but it'll always skip a number???

or it's just in +1 then +3 pattern

The next terms of the pattern 1,2,5,6,9 are 10, 13,14,17,18,21.

Sequence is a collection of terms which are related in some way which is common to all the terms or some of the terms.

The pattern is given as 1,2,5,6,9 and we have to find the next terms of the pattern.

The First term is 1, the second term is 2. The difference between them is 1.

Second term is 2 and the third term is 5. The difference between them is 3.

Third term is 5 and the fourth term is 6. The difference between them is 1.

Fourth term is 6 and fifth term is 9. The difference between them is 3.

If we observe pattern in them them we can find that in first term they have added 1 , in second term 3 , in third term 1, in fourth term 3. It means first add 1 and then 3.

The next terms will be :

9+1=10

10+3=13

13+1=14

14+3=17

17+1=18

18+3=21.

Hence the next terms of the pattern 1,2,5,6,9 are 10,13,14,17,18,21.

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56.347..........

just simply put the value 3175 under division root and make pairs of 31 and 75.Now think of a number whose square will be nearest to 31 and that ll be 5.Now write 5 in the quotient and 5 also 5 under the divider.Now by multiplying 5 with the 5 in the quotient you ll get 25 write this under 31.And by adding 5 in the divider 5 youll get 10.write this under the divider.no by subtracting 25 from 31 you ll get 6 and by bringing 75 down it ll be 675.Now think of a number again and write it with 10.Like 6 into 6 is 36 and when you multiply 6 with 106 you ll get nearest number to 675 that ll be 636.Now because its giving a remainder just add a .0 in the question and continue to solve it the same way.And as it ll be a continuous answer so just add continuty dots........ or just round it off to nearest whole number

Answer:

56.347138347923

Step-by-step explanation:

Answer:

0.82

Step-by-step explanation:

The question says that three percent (3 out of 100) of the rackets (racquets) produced by the company are found to be defective.

First thing to calculate is the probability that 1 in a box of 6 rackets are defective.

That probability is gotten by cross multiplying, as illustrated below;

3 - 100

x - 6

x = (6×3)/100 = 18/100 = 0.18

Since the probability of having/finding 1 defective racket in a box of 6 is 0.18, the probability of finding more than 1 (minimum of 2 and maximum of all six) defective rackets in same box would be (1 - 0.18) = 0.82