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3 years ago

13

"a dealer in a casino has rolled a 6 on a single die four times in a row. what is the probability of his rolling another 6 on th

e next roll, assuming it is a fair die?"

1 answer:

jeka943 years ago

4 0

One out of six or 1/6

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Lou wants to make a coffee mixture to sell. He is going to mix Sumatra coffee which costs $2.50 per pound with Columbian coffee

Scilla [17]

To answer this question you need to create 2 equations:
S+C=50
2.50S+3.75C=3.35*(50)
S=50-C -so now you can plug in S into the second equation
2.50*(50-C)+3.75C=167.5
Now you just need to solve this equation, the final answer will be 34 pounds of colombian coffee and 16 pounds of sumatra coffee

5 0

3 years ago

When constructing an angle bisector why must the arcs intersect

Masja [62]

To get the correct angle where the arcs meet : it's more precise

4 0

3 years ago

Z=yr solve for y how is this solved

Andreyy89

To solve for y, you do not get a value as there are no values in the equation. You can however still solve, as long as you make the equation "y =". To do this, you need to get y by itself, and we can see that it is being multiplied by r. To move the r onto the other side, we therefore have to divide by r on both sides. This leaves us with y = Z/r, which is your answer.

I hope this helps!

3 0

3 years ago

Find the difference, –8 – (–5). Then check your work by writing the equivalent addition sentence.

pav-90 [236]

Answer:

-3

Step-by-step explanation:

double negative = positive so the equation turns into -8+5. add 5 by going 5 spaces closer to 0 on a number line. the answer is -3.

another equation is -3-5=-8

hope this helped! =)

4 0

2 years ago

1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa

Firdavs [7]

Answer:

$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

which yields:

$r'=\frac{1}{3000}\frac{in}{min}$

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

$V=\pi r^{2}h$

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

$V=\pi r^{2}(6)$

or

$V=6 \pi r^{2}$

We can now take the derivative to this formula so we get:

$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

Which simplifies to:

$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

which yields:

$\frac{dV}{dt}=0.0239\frac{in^{3}}{min}$

3 0

4 years ago