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
Verizon [17]
3 years ago
13

The amount of time it takes Ariana to do a math problem is continuous and uniformly distributed between 38 seconds and 79 second

s. What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem
Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, d being greater than c, is given by the following formula:

P(c \leq X \leq d) = \frac{d-c}{b-a}

Uniformly distributed between 38 seconds and 79 seconds.

This means that a = 38, b = 79

What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem

c = 58, d = 70

P(58 \leq X \leq 70) = \frac{70 - 58}{79 - 38} = 0.2927

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

You might be interested in
A random sample of 49 statistics examinations was taken. the average score, in the sample, was 84 with a variance of 12.25. the
tester [92]

Since in this case we are only using the variance of the sample and not the variance of the real population, therefore we use the t statistic. The formula for the confidence interval is:

<span>CI = X ± t * s / sqrt(n)                      ---> 1</span>

Where,

X = the sample mean = 84

t = the t score which is obtained in the standard distribution tables at 95% confidence level

s = sample variance = 12.25

n = number of samples = 49

From the table at 95% confidence interval and degrees of freedom of 48 (DOF = n -1), the value of t is around:

t = 1.68

 

Therefore substituting the given values to equation 1:

CI = 84 ± 1.68 * 12.25 / sqrt(49)

CI = 84 ± 2.94

CI = 81.06, 86.94

 

<span>Therefore at 95% confidence level, the scores is from 81 to 87.</span>

6 0
3 years ago
Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides
RSB [31]

Answer:

Step-by-step explanation:

Using the parallelogram theorem

3x-8 = 10x+13

-7x = 21

x = -3

Substitute

3(-3) - 8

-17

10(-3) + 13

-17

5 0
3 years ago
I really need help please help me out!
creativ13 [48]
I should say b or c
7 0
3 years ago
A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com
nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

<em>Step 1: Write all the data</em>

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

<em>Step 2: Find the total variable cost</em>

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

<em>Step 3: Make the formula for finding x</em>

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

!!

3 0
3 years ago
+
charle [14.2K]

Answer:

no

Step-by-step explanation:

541982/3 = 180,660.667

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which pair is a vertical angle
    11·1 answer
  • HOW MANY TENTHS ARE IN 13.58
    12·2 answers
  • Rosas monthly salary is $162.50. Her company told her she will be getting a raise of 6.5% of her current salary. What is her mon
    9·1 answer
  • What formula would be used to add two cells together after the equal sign?
    7·1 answer
  • Multiply.
    9·2 answers
  • The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
    11·1 answer
  • Someone deleted every single one of my answer took away all of my hard earned points and my brainliest I want answers now that's
    5·1 answer
  • Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-
    5·1 answer
  • Look at the table and try to help me please.
    11·2 answers
  • -2|x+5| =8<br> can you plz help me!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!