Required informationSkip to questionNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.Find the sum and product of each of these pairs of numbers. Express your answers as base 3 expansions.The sum of the numbers (20001)3 and (1112)3 is ( )3 and their product is ( )3.

Answer:

0.1535 = 15.35% probability that at least one customer arrives in a particular one minute period.

0.1443 = 14.43% probability that at least two customers arrive in a particular 4 minute period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Find the probability that at least one customer arrives in a particular one minute period.

The average is of 10 customers per hour(60 minutes), so for this case, [tex]\mu = \frac{10}{60} = \frac{1}{6}[/tex]

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-\frac{1}{6}}*(\frac{1}{6})^{0}}{(0)!} = 0.8465[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8465 = 0.1535[/tex]

0.1535 = 15.35% probability that at least one customer arrives in a particular one minute period.

Probability that at least two customers arrive in a particular 4 minute period.

The average is of 10 customers per hour(60 minutes), so for this case, [tex]\mu = \frac{10*4}{60} = \frac{4}{6} = \frac{2}{3}[/tex]

This probability is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-\frac{2}{3}}*(\frac{2}{3})^{0}}{(0)!} = 0.5134[/tex]

[tex]P(X = 1) = \frac{e^{-\frac{2}{3}}*(\frac{2}{3})^{1}}{(1)!} = 0.3423[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.5134 + 0.3423 = 0.8557[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.8557 = 0.1443[/tex]

0.1443 = 14.43% probability that at least two customers arrive in a particular 4 minute period.

Answer:

The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 47

Standard deviation of 7

What is the approximate percentage of lightbulb replacement requests numbering between 47 and 68?

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% of the above.

Between 47 and 68:

68 = 47 + 7*3

So 68 is three standard deviations of the mean.

Of the 50% above the mean, approximately 99.7% are between the mean of 47 and 3 standard deviations above the mean, which is 68. So

0.5*0.997 = 0.4985

0.4985*100 = 49.85%

The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.

Answer:

To make it easier, lets say Justin = J, Eva = E, and Emma = M. Then, J = E + 7.50 M = J -12 J + E + M = 63 You can substitute for M in the third equation using the second equation, and you get: J + E + J - 12 = 63 Clean it up a little bit and you get: 2J + E = 75 You know J = E + 7.50, so substitute that for J and you get: 2(E + 7.50) + E = 75 2E + 15 + E = 75 3E + 15 = 75 3E = 60 E = 20 ; meaning that Eva has $20. Justin has $7.50 more than Eva, so he has $27.50. Emma has $12 less than Justin, so Emma has $15.50. Double check your answer by making sure they all add up to 63, which they do.

Answer:

Based On The Survey Data, It Was Estimated That 36% Of Investors Manage Their Investments By Doing Everything They Possibly Can Online. But The Authors Of The Article Also Noted That There Was A Quite A Difference Between . ... random sample of a certain number of U.S. adults with investments of $10,000 or more.

Step-by-step explanation:

Please make me brainiest

Answer:

The number is 4

Step-by-step explanation:

We set up the equation given the conditions listed. Since it says 5 times the difference between a number and 7, we can use x as a placeholder for the number.

(x-7) is the difference between the number and 7. The question asks for 5 times that difference thus we multiply the entire thing by 5 giving us 5(x-7. The question says that it all equals -15 so we set that expression equal to -15.

Thus we get the equation and solve:

5(x-7)= -15 (distributive property)

5x-35= -15 (add 35 to both sides)

5x=20 (divide by 5)

x=4; so the number is 4

Answer:

40

Step-by-step explanation:

let the unknown be y (x is used as times(multiplication) )

(y-17)x-6=-138

add /-6 to both sides

y-17x-6/-6=-138/-6

y-17=23

make y independent/add 17 to both sides

y-17+17=23+17

y=40

or in an easier way

-138/-6 =23

23+17=40

simply reversing the question to get the answer

Answer:

$56

Step-by-step explanation:

Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56!

Hope it helps

Please mark me as the brainliest

Thank you

Step-by-step explanation:

Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56

Answer:

.30

Step-by-step explanation:

Answer:

25 is the area because5 times 5 equals 25

Step-by-step explanation:

hope this helps

Answer:

25

Step-by-step explanation:

Answer:

Penny can fill eight jars.

Answer:

Penny can fill 8 jars.

Step-by-step explanation:

Step one: Multiply the divisor by a power of 10 to make it a whole number. Then, multiply the dividend by the same power of 10. Step two: Write the decimal point in the quotient above the decimal point in the new dividend. Step three: Divide!

Answer:

C

Step-by-step explanation:

Answer:

2bricks

Step-by-step explanation:

volume of cuboid = length × breadth ×height

step 1 : calculate the first one

v= 15cm ×8cm× 5cm = 1200cm^3

step 2 calculate the 2nd one

v= 15cm ×10cm×8cm = 600cm^3

number of bricks

1200cm^3 × 1bricks/ 600cm^3 = 2 bricks

Answer:

39°

Step-by-step explanation:

180-90-51=39

Answer:

its 39

Step-by-step explanation:

you know that a right triangle already has the angle 90 so 51 plus 90 equals 141

180-141=39

Answer:

Step-by-step explanation:

18). 3x + 2 ÷ 3x = [tex]\frac{2}{3x}[/tex]

     Since, 3x + 2 ÷ 3x = 3x + [tex]\frac{2}{3x}[/tex]

      Therefore, right hand side of the equation will be = 3x + [tex]\frac{2}{3x}[/tex]

20). [tex]\frac{4x+3}{3}=x+1[/tex]

       Since, [tex]\frac{4x+3}{3}=\frac{4x}{3}+\frac{3}{3}[/tex]

                            = [tex]\frac{4}{3}x+1[/tex]

Therefore, right hand side of the equation should be [tex]\frac{4}{3}x+1[/tex].

Answer:

8 + 3n

Step-by-step explanation:

Answer:

8 + 3t

Explanation:

Answer:

they reflect thru the y-axis

Step-by-step explanation:

Answer:

second part is a,c,d  

Answer: they are correct

Step-by-step explanation:

correct

Answer:

1/cos^2(180-theta) - 1

Step-by-step explanation:

According to trigonometry identity

tan^2 theta + 1 = sec^2 theta

tan^2 theta = sec^2 theta - 1

hence tan^2(180-tetha)​ = sec^2 (180 -theta) - 1

tan^2(180-tetha)​ = 1/cos^2(180-theta) - 1

Hence the value of tan^2(180-tetha)​ is 1/cos^2(180-theta) - 1

Answer:

smalls

Step-by-step explanation:

Answer:

25.12ft

Step-by-step explanation:

C=2πr

C = 2(3.14)(4)

C = 25.12ft

Answer:

25.12

Step-by-step explanation:

The circumference of a circle is equal to [tex]2\pi r[/tex]. So, to find the circumference plug in 4 for r and solve the expression. [tex]2\pi 4[/tex], where [tex]\pi[/tex] equals 3.14 is 25.12.

Answer:

3 bags of topsoil is needed

Step-by-step explanation:

base = 20m

height = 6 m

Area of flower bed = [tex]\frac{1}{2}*base*height\\[/tex]

                               [tex]= \frac{1}{2}*20*6\\\\= 10*6\\= 60 square feet[/tex]

Number of bags= Total area of flower bed ÷ 20

                          = 60 ÷ 20

                          = 3

Answer and Step-by-step explanation:

Divide each side by 2.

x [tex]\geq[/tex] 5

This is the correct answer for getting the x by itself.

#teamtrees #PAW (Plant And Water)

Answer:

4

Step-by-step explanation:

2x10=20

I think...

Answer:

30.667 inches of string

Step-by-step explanation:

Answer124

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:  Graph C passes the horizontal line test and becomes a function as the horizontal line does not cut the curve more than once along any line drawn.

Also, the curve passes the vertical line test as well, if a vertical is drawn, it does not cut the curve more than once if drawn any where vertically.

Thus, graph C passes both the horizontal and vertical line test. So the curve has both function and inverse function.

Answer:

The answer is C.

Step-by-step explanation:

I just took the test on edg.

Answer:

c. freezing point of water

Step-by-step explanation:

did on edge 2021

will need 18cm^3

Step-by-step explanation:

volume of cuboid = length × base × height

so v= 3cm ×2cm×3cm

v=18cm^3