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11 months ago

7

A coin is tossed and a die is rolled simultaneously. What is the probability of getting a head and a number less than 3?

1 answer:

laila [671]11 months ago

7 0

Answer: $1/6$

Step-by-step explanation:

The probability of getting a head is 1/2.

The probability of getting a number less than 3 is 1/3.

Out of the 6 possibilities, two satisfy this condition: 1 and 2. So, the probability is 2/6 = 1/3.

Since the events are independent, the probability is $(1/2)(1/3)=1/6$ .

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Use the functions h(x) = 2x − 5 and t(x) = 6x + 4 to complete the function operations listed below.

Anika [276]

For this case we have the following functions:
h (x) = 2x - 5
t (x) = 6x + 4

Part A: (h + t) (x)
(h + t) (x) = h (x) + t (x)
(h + t) (x) = (2x - 5) + (6x + 4)
(h + t) (x) = 8x - 1

Part B: (h ⋅ t) (x)
(h ⋅ t) (x) = h (x) * t (x)
(h ⋅ t) (x) = (2x - 5) * (6x + 4)
(h ⋅ t) (x) = 12x ^ 2 + 8x - 30x - 20
(h ⋅ t) (x) = 12x ^ 2 - 22x - 20

Part C: h [t (x)]
h [t (x)] = 2 (6x + 4) - 5
h [t (x)] = 12x + 8 - 5
h [t (x)] = 12x + 3

6 0

2 years ago

James wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Si

cupoosta [38]

Answer:

Part 1) see the procedure

Part 2) $4.95x+49.95 < 9.95 x$

Part 3) $x > 9.99\ months$

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

$y=4.95x+49.95$

Site B

$y=9.95x$

The inequality that represent this situation is

$4.95x+49.95 < 9.95 x$

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

$4.95x+49.95 < 9.95 x$

Subtract 4.95x both sides

$4.95x+49.95-4.95x < 9.95 x-4.95x$

$49.95 < 5x$

Divide by 5 both sides

$49.95/5 < 5x/5$

$9.99 < x$

Rewrite

$x > 9.99\ months$

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

4 0

3 years ago

Help plz if you can fast...ish, yeah..

zavuch27 [327]

C

I think this is the right answer

3 0

2 years ago

What is the perimeter ?

natta225 [31]

Step-by-step explanation:

the outer left side is also 50 ft.

in inner (upper) left side is also 13 ft.

the bottom line is 10+20+11 = 41 ft

this is all possible because all the angles are clearly right angles (90°).

so, the perimeter is

2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft

5 0

1 year ago

ikadub [295]

Answer:

Step-by-step explanation:

5 0

2 years ago