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devlian [24]
3 years ago
9

5b - 5 - 12b - 7 I need steps please and thank you

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer:

7b-12

Step-by-step explanation:

12b-5b-7-5

7b-12

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Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and 70% regularly consume at lea
Mekhanik [1.2K]

Answer:

a) The probability that a randomly selected adult consumes both cofee and soda is 0.3

b) the probability that a randomly selected adult doesnt consume at least one of cofee and soda is 0.7

c) The probability that a randomly selected adult consumes cofee but not soda is 0.25

Step-by-step explanation:

Lets pick a random adult and use the random variables

C = the adult consumes cofee

S = the adult consumes sodaa

we have that

P(C) = 0.55

P(S) = 0.45

P(C U S) = 0.7

a) We know that

0.7 = P(C U S) = P(C) + P(S) - P(C ∩ S) = 0.55 + 0.45 - P(C ∩ S)

Therefore

P(C ∩ S) = 0.55+0.45-0.7 = 0.3.

and as a consecuence, the probability that a randomly selected adult consumes both cofee and soda is 0.3.

b) The event 'a randomly selected adult doesnt consume at least one of the 2 products' is the complementary event of 'the adult consumes both cofee and soda', thus, the probability of this event is 1-P(C ∩ S) = 1 - 0.3 = 0.7.

c) Remember that

0.55 = P(C) = P(C ∩S) + P(C ∩ S^c) = 0.3 + P(C ∩ S^c)

Where S^c means that the adult doesnt consume soda. We can conclude that

P(C ∩ S^c) = 0.55-0.3 = 0.25

The probability that a randomly selected adult consumes cofee but not soda is 0.25.

3 0
4 years ago
PLEASE HELP ME! 8 POINTS!
Mrac [35]

Answer:

720/1681

Step-by-step explanation:

First quadrant so everything is positive for a trig function of just the angle.  I would suggest just drawing a right triangle using tan(x)=40/9 (opp/adj). Find the hypotenuse which is sqrt(40^2+9^2)=sqrt(1600+81)=sqrt(1681)=41.  So sin(x)=40/41 and cos(x)=9/41.

Therefore sin(2x)=2sin(x)cos(x)=2(40/41)(9/41)=720/1681

6 0
3 years ago
Towns K and L are shown on a map-
nirvana33 [79]

Answer:

a) Use a ruler for the measurement.

b) convert to centimetres then use a ruler to draw the unit on the diagram.

c) measure the angle between K and L from K

See explanations below

A complete question related to this found on brainly (ID:15577387) is stated below.

Towns K and L are shown on a map.

a) Work out the actual distance

between towns K and L.

b) A third town, M, is 150 km due

South of town K.

Mark M on the map with X.

c) Measure the bearing of town L

from town K.​

Scale: 1cm represent 50km

Step-by-step explanation:

Scale: 1cm represent 50km

a) To find the actual distance between towns K and L use a ruler to measure the distance between K and L.

Your answer would be in centimetres (cm).

The answer obtained would be multiplied by 50km because from the scale given 1cm represent 50km.

Therefore you'll get the actual distance in km.

b) Here we are told M is 150 km due

South of town K.

Since the length of the initial diagram is in centimeters, we have to find how many centimeters equals 150km.

50km = 1cm

150km = (150km × 1cm)/50km = 150cm/50

150km = 3cm

Now we can represent the distance between K and M on the diagram.

Measure 3cm from K using a ruler in the direction of south (straight line downwards). The distance of M from K would be 3cm on the south of k.

c) Draw a cross on the position of K. Also draw a cross on the position of L. Connect the distance and measure the angle from K to L. The unit would be in degrees.

From the diagram, the angle is greater than 090° but less than 180°

Find attached the diagram.

5 0
3 years ago
Instead of using the values {1,2,3,4,5,6}
Crazy boy [7]

Answer:

1/9

Step-by-step explanation:

Of the 36 possible sums, 4 of them are 9. The probability is 4/36 = 1/9.

_____

Comment on these dice

Interestingly, the probability of any given sum is the same as it is with "normal" dice.

7 0
3 years ago
Can you please help solve and find value of x!
DaniilM [7]

Answer:

32º

Step-by-step explanation:

Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.

sin (x) = opp/hyp = 8/15

sin-1(8/15) = x = 0.56253 radians

0.56253 radians * 180/π = 32.23º

Round this to 32º

3 0
3 years ago
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