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3 years ago

F(x)2x/x+3,x≠-3 can somebody please explain.

Mathematics

2 answers:

worty [1.4K]3 years ago

8 0

Answer:

x cannot equal -3 because if -3 is plugged in for x, there will be a zero in the denominator and you cannot divide by 0

il63 [147K]3 years ago

3 0

It cancels out. the equal sign have a slash through there

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I need the solution too

Maslowich

M=sales on monday
t=sales on tuesday
w=sales on wednesay

m=3t
w=(1/2)t

if m=1200

1200=3t
divide both 3 both sides
400=t

sub int other one

w=t/2
w=400/2
w=200

m=1200
t=400
w=200

total is 1200+400+200=1800

the total sales is RM 1800

4 0

3 years ago

A coffee machine dispenses normally distributed amounts of coffee with a mean of 12 ounces and a standard deviation of 0.2 ounce

NemiM [27]

Answer:

0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.

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 z-score 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 p-value, 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.

Mean of 12 ounces and a standard deviation of 0.2 ounces.

This means that $\mu = 12, \sigma = 0.2$

Sample of 9:

This means that $n = 9, s = \frac{0.2}{\sqrt{9}}$

Find the probability that the mean of the sample will be less than 12.1 ounces.

This is the pvalue of Z when X = 12.1. So

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

By the Central Limit Theorem

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

$Z = \frac{12.1 - 12}{\frac{0.2}{\sqrt{9}}}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.

6 0

3 years ago

Please help me with this

hodyreva [135]

Answer:

1.) The quotient of a number and 2 = x ÷ 2

2.) A number decreased by 2 = x - 2

3.) 2 times a number = 2x

4.) 2 increased by a number = 2 + x

Step-by-step explanation:

Let's look for key words hidden in these sentences:

1.) The quotient of a number and 2 = The word quotient refers to division

2.) A number decreased by 2 = The word decreased refers to subtraction

3.) 2 times a number = the word times refers to multiplication

4.) 2 increased by a number = the word increased refers to addition

Hope this helps!

5 0

3 years ago

At best buy they have a 42” TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost? (Hint:

CaHeK987 [17]

Answer:

pre-tax = 1,062.50

after taxes = 1,131.56

6 0

3 years ago

A company has six employees.The salary of five of the employees are P2200,P1300,P800,P940 and P560.When the sixth employee is in

Dafna1 [17]

Answer:

First answer is 1200

Second answer is 900 for each new employee

Step-by-step explanation:

First answer:

2200+1300+800+940+560+x = 7000

5800+x = 7000 subtract 5800 from both sides and you get your answer

x = 1200

Second answer:

x = 900. Each of the two employees made 900 a month or 1800 a month for both of them.

To find the average we take the total salaries and divide by the number of people to find the average salary. In this case, we know the average and we know all of the salaries, but two. We can figure this out.

(7000 + 2x)/8 = 1100 multiple both sides by 8 to clear the fraction/

7000 +2x = 8800 Subtract both sides by 7000

2x = 1800 Divide both sides by 2

x = 900

3 0

2 years ago