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
andrey2020 [161]
3 years ago
11

Use the Statistical Applet: Normal Density Curve to answer the question.Set the mean and standard deviation to 0 and 5 , respect

ively. Note that 0.023 of the area under the curve falls below −10.0 . Now set the mean to 10 and keep the standard deviation at 5 . Under these settings, 0.023 of the area under the curve falls below 0.0 . Proportion?
Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

z=-1.995

And if we solve for a we got

a=10 -1.995*5=0.025

Step-by-step explanation:

For this case we have the initial case we have a normal distribution given :

X \sim N(0,5)  

Where \mu=0 and \sigma=5

And from the info of the problem we know that:

P(X

We can verify this using the z score formula given by:

z= \frac{x\mu}{\sigma}

And if we replace we got:

P(X

Now we have another situation for a new random variable X with a new distribution given by:

X \sim N(10,5)  

Where \mu=10 and \sigma=5

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.977   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.023 of the area on the left and 0.977 of the area on the right it's z=-1.995. On this case P(Z<-1.995)=0.023 and P(z>-1.995)=0.977

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-1.995

And if we solve for a we got

a=10 -1.995*5=0.025

You might be interested in
In a random sample of students at a middle school 24 wanted to change the mascot and 30 wanted to keep the current mascot which
Yakvenalex [24]
30/54 =x/1,140
30*1140= 34200
34200/54 = 633.33
ANSWER:
Estimated- 633
7 0
3 years ago
Please hurry in need for help!!
d1i1m1o1n [39]

5 × x = 1/4        x = 1/4 ÷ 5        x = 1/20

7 0
3 years ago
An account earns simple interest $600 at 5% for 2 years find the interest earned
iVinArrow [24]

Answer:

so your answer would be 60$

Step-by-step explanation:

I = P * r * t

Here, P = $600

r = 0.05 (decimal value for 5%)

t = 2 years

Part a)

The interest earned will be:

I = P * r * t

I = 600 * 0.05 * 2

I = $60  

Part b)  

The balance in the account will be $600 plus the interest earned or:

$600 + 60 = $660

7 0
3 years ago
Whats the correct answer <br> 41/8928
chubhunter [2.5K]

The answer to 41 divided by 8,928 would be 0.0046

6 0
3 years ago
There are 10 large fish and 5 small fish. Half of the large fish are red. One fish is selected at random. Find the probability t
Softa [21]
The probability of choosing a large red fish is 5/15 or 1/3
3 0
3 years ago
Other questions:
  • Please answer thank you❤️
    13·1 answer
  • Please tell the answer and show the work.
    14·2 answers
  • One half of the sum of the number of apples and 6 equals eight.how many apples are there?
    8·1 answer
  • Need help with this question
    9·1 answer
  • Jackson ran 1 mile and Carlotta ran 2 3/4 miles. Tyler ran a distance halfway between Jackson and Carlotta. How far did Tyler ru
    11·2 answers
  • G(x) = -10x2+ 490<br> lesser x=<br> greater x =
    12·1 answer
  • Please help will give brainliest if you answer correct
    8·1 answer
  • Show the working pls :))
    6·1 answer
  • ms.lopez can do 25 push ups. ms. red can do twice as many push ups as ms.lopez. how many more push ups can ms.red do than ms.lop
    12·1 answer
  • A) Fiona has shirts, pants, socks, and shoes and she has 4 colors of each which are blue, gray, orange, and black that she can w
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!