1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bess [88]
3 years ago
6

A number cube has the numbers 1, 2, 5, 5, 6, and 6 on its faces. Match the probability with the outcome. 1. P(5 ∪ 6) 2. P(2 ∪ 5

∪ 6) 3. P(1 ∪ 2) 4. 0 P(4)
Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Answer:

1. P(5 U 6) =2/3

2. P(2 U 5 U 6) = 5/6

3. P(1 U 2) = 1/3

4. P(4) = 0

Step-by-step explanation:

As the number cube has 6 sides,

So,

Total outcomes = {1,2,5,5,6,6}

n(S) = 6

Now,

1. P(5U6) = P(5) + P(6)

P(5)=2/6=1/3

P(6)=2/6=1/3

P(5U6)= 1/3 + 1/3 = 2/3

2. P(2 U 5 U 6) = P(2) + P(5) + P(6)

P(2)=1/6

P(5)=2/6

P(6)=2/6

P(2 U 5 U 6) = 1/6 + 2/6 + 2/6

= 5/6

3. P(1 U 2) = P(1) + P(2)

P(1) = 1/6

P(2)= 1/6

P(1 U 2) = 1/6 + 1/6

= 2/6 = 1/3

4. P(4) = 0

As 4 is not in the outcomes, it's probability will be zero ..

You might be interested in
The distance between (-9,5) (-9,-1)
ZanzabumX [31]

Answer:

0, 6

Step-by-step explanation:

3 0
3 years ago
3 turtles walking.
Serggg [28]

Answer:

Divide 250 by 9.4 to get 26.6

Step-by-step explanation:

To calculate her unit rate, 1 minute, we must divide the distance travelled over 9.4 minutes by 9.4 to see how far she travelled in 1 minute.

8 0
3 years ago
Identify the lateral area and surface area of a regular triangular pyramid with base edge length 14 cm and slant height 15 cm.
sattari [20]
How did you get 315.
6 0
3 years ago
On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to
NemiM [27]

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

4 0
3 years ago
Write 4 hundred 16 tens 5 ones in standard form
In-s [12.5K]
565 is the correct answer
6 0
3 years ago
Read 2 more answers
Other questions:
  • Kevin has 16 ounce can of mixed nuts he gives 1/2 of the mixed nuts to his sister. He then eats 3/4 of the remaining nuts. How m
    10·1 answer
  • Write each vector in component form
    13·1 answer
  • F(x) = 6x-2 and g(x) = 2x+4 (f-g)(x)
    6·2 answers
  • Explain how to simplify the expression (-8)+(-3)+(-4)(7)/14+9(-2). Show the updated expression after each step you take.
    14·1 answer
  • FIRST ONE TO ANSWER WILL GET U A BRAINLIST PLS ANSWER: telephone pole breaks and falls as shown. To the nearest foot, what was t
    8·2 answers
  • Find the missing length of the triangle.
    10·2 answers
  • The tallest man alive today is 8 feet 3 inches. How tall is he in inches?
    8·2 answers
  • Line /1 and line /2 are parallel line
    8·1 answer
  • What is 1+1? I am having trouble figuring it out...
    5·2 answers
  • Tuition at valley view community college costs $6,750 this year. ted has $550 saved. he also received a grant for $2,500 and a s
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!