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STALIN [3.7K]
3 years ago
12

Mark is on a quiz bowl team. He answers his quiz bowl questions correctly one-third of the time. Which is a way you could simula

te the probable outcomes of this event with a six-sided number cube?
A.correct: a roll of 6 incorrect a roll that is not 6
B.correct: a roll of an even number incorrect a roll of an odd number
C.correct: a roll of a number less than 3 incorrect: a roll of a greater than or equal to 3
D. correct: a roll of a number that is not divisible by 3 incorrect a roll of a number that is divisible by 3
Mathematics
1 answer:
Alika [10]3 years ago
6 0

Answer:

Step-by-step explanation:

Mark is on a quiz bowl team. He answers his quiz bowl questions correctly one-third of the time. Which is a way you could simulate the probable outcomes of this event with a six-sided number cube?

A.correct: a roll of 6 incorrect a roll that is not 6

B.correct: a roll of an even number incorrect a roll of an odd number

C.correct: a roll of a number less than 3 incorrect: a roll of a greater than or equal to 3

D. correct: a roll of a number that is not divisible by 3 incorrect a roll of a number that is divisible by 3

\

Answer

2.0/5

5

6.6M people helped

The probability being fixed at 1/3, let's find which event in rolling a 6 sided dye will generate a probability of 1/3.

A- 6 sided number cube: with one roll (INCORRECT), however with a 3 sided number cube, P(0ne roll) = 1/3 (CORRECT)

B- A roll of an even number : P(even number) =3/6 =1/2 (INCORRECT), and a roll of an odd number P(odd number) = 3/6 = 1/2 (INCORRECT)

C- A roll of a number less than 3 , P(less than 3) =2/6 =1/3 CORRECT), whereas :a roll  greater than or equal to 3. INCORRECT

D. A roll of a number that is not divisible by 3, P(not divisible by 3) = 4/6 =2/3 (INCORRECT): P( number number that is divisible by 3) =2/6 1/3 CORRECT

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The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi
lara [203]

Answer:

a) 33.33%)

b) 135 minutes

c) 8.66 min

d) 50%

Step-by-step explanation:

a) the probability for a uniform distribution is

P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values

therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)

P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)

b) the mean (expected value) for a uniform probability distribution is

E(X) = (c+d)/2 = (120+150)/2 = 135 minutes

c)  the standard deviation for a uniform probability distribution is

σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²

σ = √75 min² = 8.66 min

b) following the same procedure as in a)

P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)

4 0
3 years ago
Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?
ale4655 [162]

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

(x - h)^{2} + (y - k)^{2}  = r^{2}     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

7 0
3 years ago
Read 2 more answers
A particular bacterium population is found to double the in 20 minutes. If a laboratory culture
insens350 [35]

The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.

<h3>What does population growth exponentially mean?</h3>

When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.

Given:

P = 340

It has been discovered that a specific bacterial population doubles in 20 minutes.

k = 2/20 = 0.1

t = 37 minutes

We know that,

P = P₀e^{kt}

340   = P₀(e^{0.1*37})

340 =P₀(40.44)

P₀ = 8.40

As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.

Learn more about exponential growth here:

brainly.com/question/13223520

#SPJ9

4 0
1 year ago
A rectangular field measures 400m by 900m, what is the perimeter of the field:
Alina [70]

Answer:

a) 1790 b) 1.79

Step-by-step explanation:

a) you just add to get the perimiter 2(900) + 2(400) to get 1790

b) 1000 meters makes a kilometer so we divide by 1000 and get 1.79 for the kilometers

6 0
3 years ago
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- If the area of a square is multiplied by nine, the area becomes 16 square inches. Find the
mojhsa [17]

Answer:

1⅓ inches

Step-by-step explanation:

Area = side² = x²

9(x²) = 16

x² = 16/9

x = 4/3 inches or 1⅓ inches

4 0
3 years ago
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