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anygoal [31]
3 years ago
13

Factorize 27x3 - 16y3

Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

27x3-16y3=

3x-4y

Step-by-step explanation:

I don't understand your question fully

I hope I helped you

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If f left parenthesis x right parenthesis equals x squared minus 3 x plus 5 , then f left parenthesis 4 right parenthesis equals
lord [1]

Answer:

f(4) = 9

Step-by-step explanation:

f left parenthesis x right parenthesis equals x squared minus 3 x plus 5

f(x) = x² - 3x + 5

f left parenthesis 4 right parenthesis equals

f(4) =

f(x) = x² - 3x + 5

When x = 4

f(4) = 4² - 3(4) + 5

= 16 - 12 + 5

= 9

f(4) = 9

6 0
3 years ago
2 divided by 41.000 show all work
charle [14.2K]
2 in 41.000
So ... 2 into 4 go's twice so put down 2
2 go's into 1 zero so put zero down. Then ur point
Ur real answer is 20.5
Hope that helped
8 0
3 years ago
Julie wants to purchase a new home in six years. She thinks that she can purchase a nice home in a good neighborhood for $60,000
MrMuchimi

Answer:

$208.33

Step-by-step explanation:

Julie has to make the down payment which is 25% of $60000 after saving for 6 years.

Therefore, Julie has to save a total of 60000 \times \frac{25}{100} = 15000 dollars.

And Julie has to save it for the duration of 6 years i.e. (6 × 12) = 72 months.

Hence, Julie has to save \frac{15000}{72} = 208.33 dollars every month to make the down payment after 6 years. (Answer)

7 0
3 years ago
The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What
Simora [160]

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

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.

Mean of 64.4 inches, standard deviation of 2.91

This means that \mu = 64.4, \sigma = 2.91

Sample of 50 women

This means that n = 50, s = \frac{2.91}{\sqrt{50}}

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

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

By the Central Limit Theorem

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

Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}

Z = 1.46

Z = 1.46 has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

8 0
2 years ago
Match each description to its example.
kvv77 [185]

Answer:

if we have the point (x, y), a reflection over the x-axis give us the point (x, -y)

if we have the point (x, y), a reflection over the y-axis give us the point (-x, y)

if we have the point (x, y), a reflection across both axes give us the point (-x, -y)

1. (2, -3) → (-2, -3) -------  reflection across the y-axis

2. (2, -3) → (-3, 2) -------- not a reflection

3. (2, -3) → (-2, 3) ------ reflection across both axes

4.  (2, -3) → (2, 3)  -----   reflection across the x-axis

6 0
3 years ago
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