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
4vir4ik [10]
2 years ago
5

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.

Mathematics
1 answer:
Studentka2010 [4]2 years ago
4 0

Answer:

the correct answer is the product of PA) and P(B) is not equal to P(A and B)

You might be interested in
What is 14145 divided by 23?
Kobotan [32]

Answer:

615

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0
3 years ago
19) Find the acros F(x) = x4 + 8x? -​
Yuri [45]

Answer:

F'(x)=4x3+16x

Step-by-step explanation:

6 0
2 years ago
Help plz it’s my final grade besties
Furkat [3]

a)

blank table values:

1, 2, 4, 8, 16, 32, 64

(2,4) and (6,64)

b)

y = 1 * 2^{x}

2^{20} = 1048576

5 0
3 years ago
EXERCISES 1. The mean of the number 5, 2, 3, x, 9 is 48. Find the value of and state the mode of the five numbers Given the foll
IrinaVladis [17]

Answer:

66

Step-by-step explanation:

I don't know the explanation but the answer is correct.

5 0
2 years ago
Other questions:
  • Geometry:
    13·1 answer
  • Frank has 61 marbles he wants to divide evenly among his 4 friends. If there are any marbles leftover, frank will keep them for
    10·1 answer
  • For each multiple of 9, find the sum of the ones digit and the tens digit.​
    14·1 answer
  • During the school year, Gianna usually keeps a regular sleeping schedule. She goes to bed at 9:15 p.m. and wakes up at 6:30 a.m.
    15·1 answer
  • Select all that apply.
    12·1 answer
  • Which of the following types of statements can justify the steps of a proof?
    13·2 answers
  • Which number is the median? 5, 15, 16, 20, 21, 21, 23, 23, 23, 26, 26, 26, 26, 27, 27, 29, 29, 29, 29, 29, 30, 30, 30, 30
    9·2 answers
  • In the diagram below, BE ~ BC, mLC = 32° and m/BFD = 103°. Find<br> m
    11·1 answer
  • Can someone help me with this problem?
    5·1 answer
  • 55. In a quality control procedure to test for defective light bulbs, two light bulbs are randomly selected from a large sample
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!