A 6 sided die is roller 4 times in a row. The probability of getting a 4 only on the last trial

Etry & measure > Circle measure > 534 - Circumference of a circle (1) > Quiz

daser333 [38]

Answer:

28.26 cm

Step-by-step explanation:

circumference of a circle = πd

=3.14 * 9 cm

=28.26 cm

3 0

3 years ago

The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon

Stells [14]

Answer:

(a) $D(q)=\frac{-1}{25} q+148$

(b) $S(q)=\frac{1}{50}q+58$

(c) $p_{*} =88\\\\q_{*} =1500$

Step-by-step explanation:

(a) For the demand equation D(q) we have

P1: 138 Q1: 250

P2: 108 Q2: 1000

We can find m, which is the slope of the demand equation,

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}$

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

$y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148$

With b: 148 and m: -1/25 we can write our demand equation D(q)

$D(q)=\frac{-1}{25} q+148$

(b) to find the supply equation S(q) we have

P1: 102 Q1: 2200

P2: 102 Q2: 700

Similarly we find m, and b

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}$

$y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\$

And we can write our Supply equation S(q):

$S(q)=\frac{1}{50}q+58$

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing D(q)=S(q), which means the demand equals the supply in equilibrium:

$D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\$

$148-58=\frac{1q}{50} +\frac{1q}{25} \\\\90= \frac{1q}{50} +\frac{2q}{50}\\\\90=\frac{3q}{50}\\ \\q=1500\\\\$

We plug 1500 as q into any equation, in this case S(q) and we get:

$S(q)=\frac{1}{50}q+58\\\\S(1500)=\frac{1}{50}(1500)+58\\\\S(1500)=30+58\\\\S(1500)=88$

Which is the equilibrium price p*.

8 0

3 years ago

HELP PLZ!!!!!!!!!!!!!

ArbitrLikvidat [17]

I think it is C it is like a right angle

4 0

3 years ago

Look at image for question please

pickupchik [31]

Answer:

below

Step-by-step explanation:

mean=EFX÷N

=40÷8

=5

THIS IS THE MEAN OF GIVEN DATA.

3 0

3 years ago

3/4 + (1/3 ÷ 1/6) - (-1/2) =?

stepladder [879]

Answer:

[See Below]

Step-by-step explanation:

✦ Turn fractions into decimals:

$\frac{3}{4} =0.75$

$-\frac{1}{2} =-0.5$

(We will do something different for $\frac{1}{3}$ and $\frac{1}{6}$ .)

✦ Divide:

$\frac{1}{3}$ ÷ $\frac{1}{6}=2$

(Since the denominators are multiplies of each other we can divide them without having to change them into decimals.)

✦ Simplified Equation:

$0.75+2-(-0.5)$

✦ Add:

$0.75+2=2.75$

✦ Subtract:

$2.75-(-0.5)=3.25$

(Subtraction rule is if there is 2 negatives next to each other in a problem it turns into a positive.)

✦ So your answer would be:

$\frac{13}{4}$ (Exact Form)

$3~ \frac{1}{4}$ (Mixed Number Form)

$3.25$ (Decimal Form)

~Hope this helps Mate. If you need anything feel free to message me.

8 0

3 years ago