WILL GIVE BRAINLIEST FOR CORRECT ANSWER Find the area of the shaded region only ( the purple part) :)

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:

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

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:

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:

C

Step-by-step explanation:

Answer:

they reflect thru the y-axis

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:

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.

will need 18cm^3

Step-by-step explanation:

volume of cuboid = length × base × height

so v= 3cm ×2cm×3cm

v=18cm^3

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:

n=82

m=98

e=98

Step-by-step explanation:

n is vertical to 82

180-82=m and e because they are suplementery angles

Answer:

∠n = 82°

∠m = 98°

∠n = 98°

Step-by-step explanation:

∠n = 82° because it is alternate to 82°

total circle = 360°

∠l =∠m

2∠m = 360° - 82° - 82° = 196°

∠m = 98°

∠n = 98°

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:

8 + 3n

Step-by-step explanation:

Answer:

8 + 3t

Explanation:

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:

second part is a,c,d  

Answer: they are correct

Step-by-step explanation:

correct

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:

.30

Step-by-step explanation:

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:

Natalie walked for 4 minutes because 16 divided by 2 is 4

Answer:

8

Step-by-step explanation:

16/2=8

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:

it woulb be 1.25

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