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3 years ago

Asphere is cut into 8 congruent pieces. The radius of

Mathematics

1 answer:

Sedaia [141]3 years ago

3 0

Answer:

i think it is 100.53125 !! hope i helped :)

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2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac

Aleks04 [339]

Answer:

$P(disease/positivetest) = 0.36116$

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

$P(B) >0$

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

$P(I)=0.025$

$P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975$

$P(PT/I)=0.904\\P(PT/NI)=0.041$

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

$P(PT/I)=0.904$

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

$P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116$

8 0

3 years ago

write an expression that can be used to find the nth term for each sequence listed below.7, 13, 19, 25, 31,.... -1,2,5,8,11,14

LenKa [72]

You'll have to use an arithmetic sequence to find the nth term. Use the equation a=6n+1

5 0

3 years ago

311/500 write each fraction or mixed numbers as a decimals

Juliette [100K]

0.622 in decimal form

4 0

3 years ago

E = {1, 2, 3, 4, 5, 6, 7, 8, 9

statuscvo [17]

Answer:

In the A circle: 1,3,8

In the B circle: 2

In the middle: 4,9

In the outside: 5,6,7

Hope this helps!

4 0

3 years ago

A football is passed through the air and caught at ground level for a touchdown. The height of the ball (h) is given by h= -d² +

IgorC [24]

Answer:

d = 6+sqrt(42)=12.4807407

Step-by-step explanation:

h= -d² + 12d + 6

The ball is caught at ground level which means h=0

0 = -d² + 12d + 6

Subtract 6 from each side

-6 = -d^2 +12d

Factor out a - sign

-6 =-(d^2-12d)

Divide by -1

6 = d^2 -12 d

Complete the square

-12/2 = -6 then square it = 36

Add 36 to each side

6+36 = d^2 -12d +36

42 = (d-6)^2

Take the square root of each side

±sqrt(42) = sqrt( (d-6)^2)

±sqrt(42) = (d-6)

Add 6 to each side

6±sqrt(42) = (d-6)+6

6±sqrt(42) = d

d = 6+sqrt(42)=12.4807407

d =6- sqrt(42)=-.480740698

Since the distance cannot be negative

3 0

3 years ago