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GuDViN [60]
3 years ago
5

Find the probability for the given situations, and then match the situations with the number of times each event is predicted to

occur. Josie rolls a six-sided die 18 times. What is the estimated number of times she rolls a two? 3 Slips of paper are numbered 1 through 10. If one slip is drawn and replaced 40 times, how many times should the slip with number 10 appear? 5 A spinner consists of 10 equal- sized spaces: 2 red, 3 black, and 5 white. If the spinner is spun 30 times, how many times should it land on a red space? 6 A card is picked from a standard deck of playing cards 65 times and replaced each time. About how many times would the card drawn be an ace? 4
Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0

Answer:

(a)3

(b)4

(c)6

(d)5

Step-by-step explanation:

(a)Josie rolls a six-sided die 18 times.

P(she rolls a two)=1/6

Therefore, the estimated number of times she rolls a two in 18 trials

=1/6 X 18

=3

(b)Slips of paper are numbered 1 through 10.

P(the number 10 appear)=1/10

If one slip is drawn and replaced 40 times, expected number of 10

=1/10 X 40

=4

(c)A spinner consists of 10 equal- sized spaces: 2 red, 3 black, and 5 white.

P(red)=2/10

If the spinner is spun 30 times, expected number of red space

=2/10 X 30

=6

(d)A card is picked from a standard deck

P(drawing an ace)=4/52

If the card is picked 65 times and replaced each time.

Expected Number of Aces =4/52 X 65 =5

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Answer:

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Step-by-step explanation:

A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.

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The ratio of cups of sugar to gallons of lemonade is 3 cups to 2 gallons. How many cups of sugar are needed to make 15 gallons o
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The ratio of cups of sugar to gallons of lemonade is 3 cups to 1 gallon. How many cups of sugar are needed to make 5 gallons of lemonade?

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Need help and please explain how you got your answer I want to know for next time.
Tatiana [17]

Answer:

(b)

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3 years ago
First you to find the worksheet and download it<br> plase I need help
Goshia [24]

Answer:

a) The horizontal asymptote is y = 0

The y-intercept is (0, 9)

b) The horizontal asymptote is y = 0

The y-intercept is (0, 5)

c) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

d) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

e) The horizontal asymptote is y = -1

The y-intercept is (0, 7)

The x-intercept is (-3, 0)

f) The asymptote is y = 2

The y-intercept is (0, 6)

Step-by-step explanation:

a) f(x) = 3^{x + 2}

The asymptote is given as x → -∞, f(x) = 3^{x + 2} → 0

∴ The horizontal asymptote is f(x) = y = 0

The y-intercept is given when x = 0, we get;

f(x) = 3^{0 + 2} = 9

The y-intercept is f(x) = (0, 9)

b) f(x) = 5^{1  - x}

The asymptote is fx) = 0 as x → ∞

The asymptote is y = 0

Similar to question (1) above, the y-intercept is f(x) = 5^{1  - 0} = 5

The y-intercept is (0, 5)

c) f(x) = 3ˣ + 3

The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞

The asymptote is y = 3

The y-intercept is f(x) = 3⁰ + 3= 4

The y-intercept is (0, 4)

d) f(x) = 6⁻ˣ + 3

The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞

The horizontal asymptote is y = 3

The y-intercept is f(x) = 6⁻⁰ + 3 = 4

The y-intercept is (0, 4)

e) f(x) = 2^{x + 3} - 1

The asymptote is 2^{x + 3}  → 0 and f(x) → -1 as x → -∞

The horizontal asymptote is y = -1

The y-intercept is f(x) =  2^{0 + 3} - 1 = 7

The y-intercept is (0, 7)

When f(x) = 0, 2^{x + 3} - 1 = 0

2^{x + 3} = 1

x + 3 = 0, x = -3

The x-intercept is (-3, 0)

f) f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2

The asymptote is \left (\dfrac{1}{2} \right)^{x - 2} → 0 and f(x) → 2 as x → ∞

The asymptote is y = 2

The y-intercept is f(x) = f(0) = \left (\dfrac{1}{2} \right)^{0 - 2} + 2 = 6

The y-intercept is (0, 6)

7 0
3 years ago
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