When 2/3 tons of coal cost $13.50, what will in ton cost?

Answer:

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Not a user of an illegal drug.

Event B: Tests negative.

The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)

This means that [tex]P(B|A) = 0.9[/tex]

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.

So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]

What is the probability that an athlete tests negative and is not a user of an illegal drug

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

Answer:

Add

Step-by-step explanation:

so normally we would be finding the area of a triangle which is a=h*b/2

but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way

20=1/2(5)h

20=2.5

8=h

and to find out if that was correct lets do  8*5=40      40/ 2 =20  so this is correct

the height is 8

Answer:8

Step-by-step explanation:

Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2

Step-by-step explanation:

Hope this helps

Answer:

(20.322 ; 23.678)

Step-by-step explanation:

Given that :

ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11

Mean, m = ΣΧ / N = 242 / 11 = 22

Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]

Standard deviation = sqrt[(5413/11) - (242/11)^2]

Standard deviation = sqrt(8.0909090) = 2.84

Confidence interval = m ± Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Lower boundary = 22 - 1.96*2.84/sqrt(11)

Lower boundary = 22 - (1.96 * 0.8562922) = 20.322

Upper boundary = 22 + (1.96 * 0.8562922) = 23.678

Answer:

The outside plane located at 3 miles above the airport is of -3.6 degrees.

Step-by-step explanation:

The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground.

This means that the temperature in n miles above ground is given by:

[tex]T(n) = 12 - 5.2n[/tex]

What would be temperature outside plane located at 3 miles above the airport

This is T(3). So

[tex]T(3) = 12 - 5.2*3 = 12 - 15.6 = -3.6[/tex]

The outside plane located at 3 miles above the airport is of -3.6 degrees.

Answer:

y

≤

−

x

−

2

(1)

y

≥

−

5

x

+

2

(2)

First graph the 2 linear functions by intercepts:

a. y1 = - x - 2

Make x = 0 --> y-intercept is -2

Make y = 0 --> x-intercept is - 2

b. y2 = -5x + 2

Make x = 0 --> y-intercept is 2

Make y = 0 --> x-intercept is

2

5

Graphically solve the 2 linear inequalities (1) and (2).

The solution set of (1) is the area below the line y1. Color it.

The solution set of (2) is the area above the line y2. Color it.

The combined solution set of the system is the area commonly shared by the 2 above solution set areas.

graph{-x - 2 [-10, 10, -5, 5]}

graph{-5x + 2 [-10, 10, -5, 5]}

Answer:

12

Step-by-step explanation:

you have 72 and 6

72 divided by 6 equals 12.

12 x 6 = 72

12 = x

Answer: 10/20 or 1/2

Step-by-step explanation:

10 is the half of twenty, if she’s gonna eat the rest, she’s gonna eat the other half

Santa ate 10/20. right?

so you would subtract 10 from 20

which would give you 10

so Mrs. Claus also ate 10/20

-----

Another way to solve:

since 10/20 = 50%

Mrs. Claus ate the same amount

because 50% is half of 100% ( 1 whole )

So, Mrs. Claus ate 10/20

9514 1404 393

Answer:

  (A)  -7

Step-by-step explanation:

The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.

  x^2 +2 = 6x +k  . . . . . must be true at x=3

  3^2 +2 = 6(3) +k . . . . substitute 3 for x

  9 +2 -18 = k . . . . . . . . subtract 18

  k = -7 . . . . . . . simplify

Answer:

so 5w +3w=8w+12w= 20w -10 so the answer is 20w-10 that is how I learned

Answer:

3.3

Step-by-step explanation:

Answer:

42.9

Step-by-step explanation:

Remember your decimal rules when doing long division

Answer:

40

Step-by-step explanation:

100/2.5=40

Answer:

6 8 10 12 14

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

because T to R is 80 too

Answer:

JK up FMyRick they rock TBD Trinity scrump TV TM in

Answer:

The answer is 80. If you multiply 40 x 3 it is 120 and 40 x 2 is 80 so 2/3 of 120 is 80 NOT 40

Hello!

The denominator is like the number under the line. So in this case, 2 would be the denominator.

~Sophia

Answer:

oposite to its angle when they are parallel

Answer:

Step-by-step explanation:

I'm pretty sure the expression is 1/3 ÷ 6

This is because there are 6 friends in all and you are splitting 1/3 of the pan snack bars to each of them.

So, what your splitting/cutting/dividing would be the dividend (1/3) and then the friends would be the divisor (6)

Answer:

true

Step-by-step explanation:

take away 1/3 from 5 and you get four and a third

Answer:

c

Step-by-step explanation:

3x16=48

3+16+3+16=48

pls brainliest

Answer:d and a

Step-by-step explanation:

Answer: below

Step-by-step explanation:

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...

Step 2: Make sure all radicals are simplified. ...

Step 3: Simplify the fraction if needed.