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
klio [65]
3 years ago
12

The letters of the alphabet are written on cars and placed in a brown paper bag. What is the probability of drawing a vowel, rep

lacing it, and then drawing another vowel?
Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer:

25 / 676

Step-by-step explanation:

There are 5 vowels in the alphabets, and there are 26 alphabets in total as a whole.

The probability of drawing a vowel kb first trial is going to be

5 / 26, total number of vowels and total number of alphabets as a whole.

Again, we're told to replace the picked vowel, and pick another vowel, so that will once again be

5 / 26.

To get the final answer, we multiply both answers by each other

5 / 26 * 5 / 26 = 25 / 676.

Therefore, the probability has been found to be 25 / 676

You might be interested in
Evaluate the equation below
NeX [460]

Answer:

54

Step-by-step explanation:

3x3= 9x6= 54

8 0
3 years ago
Read 2 more answers
15x8-x=4(2x+20) solve
Cloud [144]

Answer:


x≈ −1.21039852,1.25324234 assuming was the exponent to 15x


6 0
3 years ago
Find the value of x.
nikdorinn [45]

Answer:

X=11

Step-by-step explanation:

(10x+30)=140

-30 both sides

10x=110

Divide 10 both sides

X=11

8 0
3 years ago
Read 2 more answers
Determine the value of z for the system of equations.
Zolol [24]

the answer id d because it's 3 z's so you times that by 4 and you get d.4

6 0
3 years ago
Read 2 more answers
A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately
Genrish500 [490]

Answer:

a) 0.057

b) 0.5234

c) 0.4766

Step-by-step explanation:

a)

To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula

z=\frac{\bar x-\mu}{\sigma/\sqrt N}

where

\bar x=mean\; of\;the \;sample

\mu=mean\; established\; in\; H_0

\sigma=standard \; deviation

N = size of the sample.

So,

z=\frac{185-175}{20/\sqrt {10}}=1.5811

\boxed {z=1.5811}

As the sample suggests that the real mean could be greater than the established in the null hypothesis, then we are interested in the area under the normal curve to the right of  1.5811 and this would be your p-value.

We compute the area of the normal curve for values to the right of  1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.

So the p-value is  

\boxed {p=0.057}

b)

Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.

We can compute the probability of such an error following the next steps:

<u>Step 1 </u>

Compute \bar x_{critical}

1.64=z_{critical}=\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}

\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}=\frac{\bar x_{critical}-175}{6.3245}=1.64\Rightarrow \bar x_{critical}=185.3721

So <em>we would make a Type II error if our sample mean is less than 185.3721</em>.  

<u>Step 2</u>

Compute the probability that your sample mean is less than 185.3711  

P(\bar x < 185.3711)=P(z< \frac{185.3711-185}{6.3245})=P(z

So, <em>the probability of making a Type II error is 0.5234 = 52.34% </em>

c)

<em>The power of a hypothesis test is 1 minus the probability of a Type II error</em>. So, the power of the test is

1 - 0.5234 = 0.4766

3 0
3 years ago
Other questions:
  • Veronica lives in North Dakota and pays 5% in sales tax. She just bought $90 in groceries, but $35 worth of those groceries were
    6·2 answers
  • Choose true or false. to convert 5 square meters to square yards, multiply 5 by 1.196.
    11·1 answer
  • 8x+2(3x-12)=-122<br> Find the value for x. I'm so bad at this kind of thing plz I need help
    10·1 answer
  • Any charges $12 more for five hours of babysitting then she does for three hours of babysitting. What does Amy charge per hour o
    11·2 answers
  • 1,4,9,16 and 25 explain why these numbers sometimes are called perfect squares
    5·1 answer
  • A 3:5 by 5:5ft mirror is placed in a wooden frame. What is the area of the frame?
    9·1 answer
  • A taxi driver determines the fare using the formula F=1.50+2.6m, where F is the total fare and m id the numbet a miles driven. W
    7·1 answer
  • Can someone please explain how to find x and y I don’t understand this at all
    10·1 answer
  • Solve for X. 96 93 6 3
    7·1 answer
  • 1. The sum of Teresa's and Cathy's weight is
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!