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3 years ago

What is f(3) if f(x) = 4x + 1?

Mathematics

1 answer:

lana [24]3 years ago

4 0

Answer:

What is the inverse of the function f(x) = 1/4x - 12? h(x) = 4x + 48. Which statement is true regarding the functions on the graph? f(3) = g(3)

Step-by-step explanation:

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Need help plz it’s only one question!!!

Semenov [28]

2.50 (5) = 12.5

she owes 12 dollars and 50 cents

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3 years ago

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PLEASE HELP!!!!!<br> x^2 + 12xy + 35y^2

SVEN [57.7K]

The answer is = (x + 5y) (x + 7y)

Break the expression into two groups.

x^2 + 12xy + 35y^2
(x^2 + 5xy) (7xy + 35^2)

Factor out x from x^2 + 5xy: x(x + 5y)
Factor out 7y from 7xy + 35y^2: 7y(x + 5y)
=x(x + 5y) + 7y(x + 5y)

Next, factor out the common term (x+ 5y).

Answer = (x + 5y) (x + 7y)

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2 years ago

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Simplify 6-12b divided by 3a-6ab

siniylev [52]

Answer:

$\frac{2}{a}$

Step-by-step explanation:

Given

$\frac{6-12b}{3a-6ab}$ ← factor both numerator and denominator

= $\frac{6(1-2b)}{3a(1-2b)}$ ← cancel common factor (1 - 2b) on numerator/denominator

= $\frac{6}{3a}$ ← cancel 6 and 3 by 3

= $\frac{2}{a}$

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2 years ago

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4vir4ik [10]

The answer would be, 325mg is 32.5 cg

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2 years ago

A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the

hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

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 establishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that $p = 0.08$

Sample of 595:

This means that $n = 595$

Mean and standard deviation:

$\mu = p = 0.08$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111$

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

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

By the Central Limit Theorem

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

$Z = \frac{0.05 - 0.08}{0.0111}$

$Z = -2.7$

$Z = -2.7$ has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

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3 years ago