1 . A birdwatcher wishes to model the number of birds arriving at a particular barn per hour.

a) State two conditions needed for a Poisson distribution to be a suitable model.

b) The expected number of birds arriving per hour is 7. Assuming the conditions for a Poisson model are met, find the probability that, in a randomly chosen hour during the day, the number of birds arriving at the barn is:

(i) fewer than 4
(ii) at least 7
(iii) exactly 9

Answer:

a

Step-by-step explanation:

i did this test and question beforer si know what it iso

Answer:

[tex]124.16[/tex] cubic meter of clay will be used to create all the pyramids

Step-by-step explanation:

The remaining part of the question is given in the attached file

Solution

The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.

For Rectangular Pyramid,

Volume of three rectangular pyramids

[tex]3 * \frac{BH}{3} = BH[/tex]

Substituting the given values in above equation, we get -

[tex]15.5 * 5 = 77.5[/tex] cubic centimeter

For triangular Pyramid,

Volume of two  triangular pyramids

[tex]2 * \frac{BH}{3}\\2 * \frac{10 * 7}{3}[/tex]

[tex]46.67[/tex]  cubic centimeter

Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid [tex]= 77.7 + 46.67 = 124.16[/tex] Cubic centimeter

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

to find slope: [tex]m = \frac{y_2 - y_2}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - (-2)}{500-300} = \frac{8}{200\\}\\m = \frac{1}{25}[/tex]

Answer:

Total cost: $30.99

Daniel will have $19.01 left to spend.

Answer:

Daniel can buy 1 shirt

Step-by-step explanation:

We can write an equation out of what they give us in the question.

Each shirt is $20, this can be represented as 20s.

All shipping on orders cost $10.99, this can be represented as 10.99s.

S represents how many shirts Daniel will buy.

The equation is written out like this:

[tex]20s + 10.99s \leq 50[/tex]

Combine like terms:

[tex]30.99s \leq 50\\[/tex]

Now solve

[tex]s \leq 1.6[/tex]

Therefore, if Daniel can only buy one shirt if he has only $50 to spend.

We can't have 2 shirts because that would exceed the $50 limit.

Hope this helps!!

- Kay :)

Answer:

39°

Step-by-step explanation:

51° +? = 90°

? = 90° - 51°

? = 39°

Hope it helps you in your learning process.

Answer:

Step-by-step explanation:

It is assumed the width of the street is the distance between the opposite buildings.

See the picture attached

It comprises of two parts:

Using Pythagorean theorem, lets find the value of x:

Same rule for y:

The width of the street (road) is:

Answer:

465 in²

Step-by-step explanation:

square area: A = lw

triangle area: A = [tex]\frac{1}{2}[/tex] lw (or base x height)

[tex]A_{square}[/tex] = (15)(15) = 225

[tex]A_{triangle}[/tex] = [tex]\frac{1}{2}[/tex] (8)(15) = 60

There is one square and 4 triangles so...

225 + 4(60) = 465 in²

Answer:

-40 your welcome

Step-by-step explanation:

Answer:

D=9/10

Step-by-step explanation:

For this case we must simplify the following expression:

3/2 +3/5

To multiply the fractions we must multiply numerator with numerator and denominator with denominator, that is:

3+3/2+5=9/10

Hi. I hope this will help you for future references.

<3  

If you are not talking about exponents:

First, multiply the numbers.

35*32=1120

Your answer ---> 1120

160+960=1120

__________________________________________________________

If you ARE talking about exponents, then you should start like this:

3⋅3        

3⋅3⋅3⋅3⋅3

there are 7 3s, so your answer would be 3^7

Hope I helped you out a bit here and gave you a better view on both sides of this question

Asia Gil <3

Answer:

Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.

We can find sum of all 16 test scores = 84(16) = 1344

Outlier found = 78

If outlier is removed new sum = 1344-78 = 1266

Number of entries without outlier = 15

New average = 1266/12 =84.4

We find that average of new data increases.

Also whenever we remove outlier std deviation also would be reduced.

Step-by-step explanation:

Answer:

The mean would decrease.

Step-by-step explanation:

Without the outlier, the mean decreases. The median stays the same with or without the outlier.

Step by step

Easy multiply 3 by 3 then add 2 that should be your top answer then keep your bottom 3 as your answer

Answer 11/3

Answer:

11/3

Step-by-step explanation:

3 times 3 equal 9 plus 2 equal 11

Answer: 288 students

Step-by-step explanation:

First Step: find the number of students per bus

Given

- 144 students

- 4 bus

Solve

144 students/4 buses=36 students/bus

Second Step: apply the rate to find the number of students in 8 buses

Given

- 8 buses

- 36 students/bus

Solve

8×36=288 students

Hope this helps!! :)

Please let me know if you have any questions

Answer:

angle BAC=50-2x

Step-by-step explanation:

angle ACD=115+x

then, angle ACB=180-(115+x)   because it is a supplementary angle

angle ABC=angle ACB because it is an isosceles triangle

angle BAC=180-2[180-(115+x)]

angle BAC=180-360+230-2x

angle BAC=50-2x

Answer:

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Answer:

2 stalls

Step-by-step explanation:

Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles

1 stall = 4 bundles

4 bundles = 1 stall

11 bundles = x

Cross Multiply

4x = 11

x = 11/4

x = 2 3/4 stalls

The greatest number of stalls he can build is 2 stalls

your answer would be 7, maddox can buy 7 things

Answer:

Step-by-step explanation:

From a business standpoint, I think the smartest decision would be either the sports equipment or the memorabilia. Each has pros and cons so it depends on you. The sporting event would be the worst option as it is something that can most likely be viewed for free online. The sporting equipment will still hold monetary value and can be resold as well as providing you with other value if used properly such as being healthier and/or putting on muscle. The Sports Memorabilia would not provide real life value but may increase in monetary value and have a much higher resale value than the equipment.

Answer:

7

Step-by-step explanation:

3+3+4=10

17-10=7

you're welcome

Answer:

Step-by-step explanation:

a+b=36

lets name the 2 numbers a,b

b=a+18

a+a+18=36

2a=36-18

2a=18

a=9

b=27

Answer:

the numbers are 9 and 27

Step-by-step explanation:

equation to the problem: x+y=36

one number (y) is 18 times greater than the other number (x): x+18=y

plug in the 2nd equation to the first equation (systems of equations):

x+(x+18)=36

solve the equation:

2x+18=36

*minus 18 on both sides*

2x=18

*divide the whole equation by 2 to get the value of just one x*

x=9

since variable x is the n smaller number, add 18 to 9 to get the 2nd number:

18+9= 27

y=27

9514 1404 393

Answer:

  3

Step-by-step explanation:

The largest number you can take without having a pair is the number of colors, 2. One more sock must match one already in hand.

You must take one more than the number of colors:

  2 + 1 = 3

You must take 3 socks to be certain of a pair the same color.

Answer:

1. 45

2. 105

3. 95

4. 85

Step-by-step explanation:

For problems 1 and 4:

Consecutive angles are supplementary in a parallelogram, which means they equal 180.

180 - 135 = 45

180 - 95 = 85

For problems 2 and 3:

Opposite angles are congruent or equal each other in a parallelogram,

Answer:

ok

Step-by-step explanation:

Answer:

1, because y = -x + 10

Step-by-step explanation:

Good Luck! c:

Answer:

1, because y = −x + 10

If you mean. y + 0.9 + 1.4 then the answer would be

[tex]y + 2.3[/tex]

Answer:

-3¼

Step-by-step explanation:

just minus and plus

hope it helps ☺️

Answer:

[tex]d=7.8\ g/cm^3[/tex]

Step-by-step explanation:

Given that,

The dimensions of a rectangular block = 4 cm x 2 cm x 1.5 cm

Mass, m = 93.6 g

We need to find the density of steel. We know that the density of an object is equal to the mass divided by volume. So,

[tex]d=\dfrac{m}{V}\\\\d=\dfrac{93.6}{4\times 2\times 1.5}\\\\d=7.8\ g/cm^3[/tex]

So, the density of the steel is [tex]7.8\ g/cm^3[/tex].

Answer:

(4, 11)

hope this helps