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
VARVARA [1.3K]
2 years ago
12

F(x)= 2-1/xg(x)= x/2what is f(g(x))?

Mathematics
1 answer:
kompoz [17]2 years ago
8 0
To find f(g(x)), plug g(x) into f(x) and simplify.

f(x/2) = 2 - 1/(x/2)

All you have to do is simplify the right side of the equation.

Take it from here.



You might be interested in
-(-2) and -/-2/ simplify to different numbers
kow [346]
I suppose the / are absolute value lines.... so ill answer it that way, -(-2) simplifies to 2. -/-2/ simplifies to -2
7 0
3 years ago
Concerns about the climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g. from r
natta225 [31]

Answer:

a) 99% of the sample means will fall between 0.933 and 0.941.

b) By the Central Limit Theorem, approximately normal, with mean 0.937 and standard deviation 0.0015.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

(a) If the true mean is 0.9370 with a standard deviation of 0.0090 within what interval will 99% of the sample means fail?

Samples of 34 means that n = 34

We have that \mu = 0.937, \sigma = 0.009

By the Central Limit Theorem, s = \frac{0.009}{\sqrt{34}} = 0.0015

Within what interval will 99% of the sample means fail?

Between the (100-99)/2 = 0.5th percentile and the (100+99)/2 = 99.5th percentile.

0.5th percentile:

X when Z has a pvalue of 0.005. So X when Z = -2.575.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-2.575 = \frac{X - 0.937}{0.0015}

X - 0.937 = -2.575*0.0015

X = 0.933

99.5th percentile:

X when Z has a pvalue of 0.995. So X when Z = 2.575.

Z = \frac{X - \mu}{s}

2.575 = \frac{X - 0.937}{0.0015}

X - 0.937 = 2.575*0.0015

X = 0.941

99% of the sample means will fall between 0.933 and 0.941.

(b) If the true mean 0.9370 with a standard deviation of 0.0090, what is the sampling distribution of ¯X?

By the Central Limit Theorem, approximately normal, with mean 0.937 and standard deviation 0.0015.

6 0
3 years ago
Find the Equation of x(2x+5)-3(2x+5)=0
Nata [24]
2x² + 5x -6x - 15 = 0

2x² - x - 15 = 0

2x² -x = 15

x = 3

3 x 3 = 9 x 2 = 18 - 3 = 15

i really don't know how i got 3 in the first place but that is your answer

hope this helps


5 0
3 years ago
Find the distance<br> (8,1)(-2,-5)
Natalija [7]

Answer:

Square root of {(-2-8)^2+ (-5-1)^2}

Square root of {(-10)^2 + (-6)^2}

Square root of 100 +36

Square root of 136 = 11.66

Distance is 11.66

3 0
2 years ago
I don't understand plz help​
Rasek [7]

Answer:

The equation that represent x, the height of the sign is;

2a = 3x

Step-by-step explanation:

Given that the area of the triangular yield is A square feet

and it has a base length of 3 feet.

also the height is represented by x;

b = 3ft \\ h = x

Recall that the area of a triangle can be written as;

a =  \frac{1}{2} bh

substituting the given;

a =  \frac{1}{2}  \times 3 \times x \\   a =  \frac{3}{2} x \\ 2a = 3x

Therefore, the equation that represent x, the height of the sign is;

2a = 3x

8 0
2 years ago
Read 2 more answers
Other questions:
  • Hundreds = 130 tens = ones
    11·1 answer
  • What divided by 5 equals 7
    6·2 answers
  • Robert's father is 5 years older than 3 times Robert's age. Let Robert's age be denoted by R and let Robert's father's age be de
    9·1 answer
  • A jug holds 4.8 liters. How many milliliters does it hold? Enter your answer in the box.
    8·1 answer
  • Question six about significant figures, please help!
    7·1 answer
  • Screenshot of question below
    5·1 answer
  • Miller's Steakhouse offers 8 side dishes, 5 types of steak, and 4 toppings. How many different smothered steak dinners can be ma
    5·1 answer
  • SOMEONE, PLEASE HELP!!!!!!!!
    15·2 answers
  • Please help me Asp please really fast
    6·1 answer
  • What is 67% of $242.07?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!