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
attashe74 [19]
3 years ago
11

(2/3^2 + (4 x 3) = ?

Mathematics
2 answers:
GaryK [48]3 years ago
7 0
2/3^2 = 4/9

4/9 + 12= 4/9 + 108/9 (make the denominators same)

= 112/9

= alternative form is 12 4/9 ~ 12.4444

lol
Afina-wow [57]3 years ago
6 0
When put in a calculator, the answer is 12.22 (recurring)
You might be interested in
It is known that the life of a particular auto transmission follows a normal distribution with mean 72,000 miles and standard de
scoray [572]

Answer:

a) P(X

P(z

b) P(X>65000)=P(\frac{X-\mu}{\sigma}>\frac{65000-\mu}{\sigma})=P(Z>\frac{65000-72000}{12000})=P(z>-0.583)

P(z>-0.583)=1-P(Z

c) P(X>100000)=P(\frac{X-\mu}{\sigma}>\frac{100000-\mu}{\sigma})=P(Z>\frac{100000-72000}{12000})=P(z>2.33)

P(z>2.33)=1-P(Z

Sicne this probability just represent 1% of the data we can consider this value as unusual.

d) z=1.28

And if we solve for a we got

a=72000 +1.28*12000=87360

So the value of height that separates the bottom 90% of data from the top 10% is 87360.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the life of a particular auto transmission of a population, and for this case we know the distribution for X is given by:

X \sim N(72000,12000)  

Where \mu=72000 and \sigma=12000

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(X

And we can find this probability using excel or the normal standard table and we got:

P(z

Part b

P(X>65000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(X>65000)=P(\frac{X-\mu}{\sigma}>\frac{65000-\mu}{\sigma})=P(Z>\frac{65000-72000}{12000})=P(z>-0.583)

And we can find this probability using the complement rule and excel or the normal standard table and we got:

P(z>-0.583)=1-P(Z

Part c

P(X>100000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(X>100000)=P(\frac{X-\mu}{\sigma}>\frac{100000-\mu}{\sigma})=P(Z>\frac{100000-72000}{12000})=P(z>2.33)

And we can find this probability using the complement rule and excel or the normal standard table and we got:

P(z>2.33)=1-P(Z

Sicne this probability just represent 1% of the data we can consider this value as unusual.

Part d

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

P(X>a)=0.1   (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 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

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=1.28

And if we solve for a we got

a=72000 +1.28*12000=87360

So the value of height that separates the bottom 90% of data from the top 10% is 87360.  

5 0
3 years ago
Graph y = -2 and x= 3 individually state the slope and x and y intercept form for each
attashe74 [19]

y = -2 and x= 3

Graph is attached below. Black line is the graph of y=-2

Blue line is the graph of x=3

Whenever we get equation like x = something, in that case slope is always undefined

Whenever we get equation like y = something, in that case slope is always 0

y = -2 and x= 3

For x=3, the slope is undefined.

The graph of x=3 is a vertical line at 3 on x. The x intercept is 3 and there is no y intercept.

For y=-2, the slope is 0

The graph of y=-2 is a horizontal line at -2 on y. The y intercept is -2 and there is no x intercept.


4 0
3 years ago
(Lesson 31) The population of Jacksonville, Florida, was 736,000 in 2000 and was increasing at a rate of 1.49% each year. At
damaskus [11]

Answer:

Step-by-step explanation:

Population t years after 2000 = 736,000 × 1.0149^t

736,000 × 1.0149^t = 1,000,000

1.0149^t = 1,000,000/736,000 = 125/92

Take log base 1.0149 of both sides

t ≈ 20.7

Population exceeds a million in 2021

7 0
3 years ago
ILL GIVE BRAINLIEST (EASY STUFF)
insens350 [35]
7 multiplied by 11 is 77. And to get 462, (and based on the given information), we can conclude that it is 3*2*7*11.
3 0
3 years ago
Read 2 more answers
There are some oranges in a basket. By adding 8/5 to the basket the total became 130. How many oranges were in the basket to sta
olga2289 [7]
78....................................................
8 0
3 years ago
Other questions:
  • I do this question yet get nothing close to the choices. Please help me and explain how I solve the areas.
    9·1 answer
  • Factor completely<br> 2n^2+ 5n + 2
    11·1 answer
  • Ax + By = C for x. plz sove
    5·1 answer
  • What is the volume of a box with a height of 3/2 inches, and then seven over2 inches and a width of five/2 inches
    5·1 answer
  • Jason started last week with $900 in his checking account. During the week, he wrote the checks below.
    15·2 answers
  • I found a place that will give me 20% discount if i spend over $50.My nill $75.How much money will i save?
    8·1 answer
  • I need help with this ​
    13·1 answer
  • Someone please help it’s dueee today!
    7·1 answer
  • For every 5 roses there are 7 tulips in bouquet if there are 84 tulips how many roses are there
    14·1 answer
  • 9 •8 +16 /4
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!