What is the value of the digit 6 in 968,743,220

Response:

0.16 acres for each sheep

Explanatory steps:

With a total of 40 acres allocated to 250 sheep, you would calculate the area per sheep by dividing the total acres by the sheep count. This can be represented as:

40/250 =....

Let's start by calculating the cost of the first 10 boxes, which totals $75, and the next 10 boxes cost $55.

Together, these 20 boxes amount to $130 spent. With $18 remaining, you can purchase 4 more boxes since 18 divided by 4.5 equals 4.

Therefore, the maximum number of boxes you can buy with $148 is 24.

Answer:

900cm^3

Step-by-step explanation:

1 cm equals 10 mm

x equals 300mm (by cross multiplication)

1cm times 300mm divided by 10mm equals 10mm times x divided by 10mm

Thus, 30cm equals x

30cm equates to 300mm

1m equals 100cm

0.2m equals x

1m times x divided by 1m equals 0.2m times 100cm divided by 1m

x equals 0.2 times 100cm

x equals 20cm

0.2m converts to 20cm

Length equals 15cm

Width equals 30cm

Height equals 20cm

Volume is length times width times height

Volume equals 15cm times 30cm times 20cm

Volume equals 450cm^2 times 20cm

Volume equals 900cm^3

Answer:

0.8753

Step-by-step explanation:

Determine the likelihood that your job will complete before 10:01 am.

In this scenario, the expected value of an Exponential distribution is E(X)=12.

To find the probability for the third job, we apply the Poisson Distribution with a parameter of 1/λ.

This gives us E(Y) =1/12.

Since the third job is expected to be ready by 10:01 AM, we have E(Y)=61/12.

Hence, the probability sought is

=1- POISSON(3,5,true)

=1-0.1246

=0.8753

Answer:

The total of all exterior angles in BEGC equals 360° ⇒ only answer F is correct

Step-by-step explanation:

* Let’s review some basics regarding quadrilaterals

- A quadrilateral is a polygon that has four sides

- The interior angles of any quadrilateral add up to 360°

- The exterior angles of any quadrilateral also total 360°

* Now let’s tackle the problem

- DEGC is indeed a quadrilateral

∵ m∠BEG = (19x + 3)°

∵ m∠EGC = (m∠GCB + 4x)°

∵ The total of the interior angles measures 360°

∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360

∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ combine like terms

∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ subtract 3 from both sides

∴ 23x + 2m∠GCB + m∠CBE = 375

∵ The exterior angles of any quadrilateral will always sum to 360°

∴ Only the statement in answer F holds true