Determine the x-intercept, y-intercept, and slope of the line described by -3x+7y=-21

What does h equal in the equation S=2πr2+2πrh?

Troyanec [42]

A

Step-by-step explanation:First, subtract

2

π

r

2

from each side of the equation to isolate the

h

term:

S

−

2

π

r

2

=

2

π

r

h

+

2

π

r

2

−

2

π

r

2

S

−

2

π

r

2

=

2

π

r

h

+

0

S

−

2

π

r

2

=

2

π

r

h

Now, divide each side of the equation by

2

π

r

to solve for

h

:

S

−

2

π

r

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

π

r

=

h

=

S

−

2

π

r

2

π

r

Or

h

=

S

2

π

r

−

2

π

r

2

π

r

h

=

S

2

π

r

−

2

π

r

2

π

r

h

=

S

2

π

r

−

r

2

r

h

=

S

2

π

r

−

r

4 0

4 years ago

Joe divides a candy bar into 8 equal pieces for her children to share she gives three pieces to Sam three pieces to Leslie and t

madam [21]

6/8 n nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

3 0

3 years ago

A rare form of malignant tumor occurs in 11 children in a million, so its probability is 0.000011. Four cases of this tumor occ

Shkiper50 [21]

Answer:

a) The mean number of cases is 0.14608 cases.

b) The probability that the number of cases is exactly 0 or 1 is 0.990.

c) The probability of more than one case is 0.010

d) No, because the probability of more than one case is very small

Step-by-step explanation:

We can model this problem with a Poisson distribution, with parameter:

$\lambda=r*t=0.000011*13,280=0.14608$

a) The mean amount of cases is equal to the parameter λ=0.14608.

b) The probability of having 0 or 1 cases is:

$P(k=0)=\frac{\lambda^0 e^{-\lambda}}{0!}=\frac{1*0.864}{1} =0.864\\\\ P(k=1)=\frac{\lambda^1 e^{-\lambda}}{0!}=\frac{0.14608*0.864}{1} =0.126\\\\P(k\leq1)=0.864+0.126=0.990$

c) The probability of more than one case is:

$P(k>1)=1-P(k\leq 1)=1-0.990=0.010$

d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.

7 0

3 years ago

Jake, Becky, and Max are meeting at Charley's Pizza for dinner and then plan to go to a movie. When they arrive at the pizza pla

Luba_88 [7]

Answer:

I think it's "C" but i may be wrong

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

How many times would you expect your heart to beat in 25 seconds? ____________

gladu [14]