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dusya [7]
3 years ago
5

Which identify could be used to rewrite the expression x6-27

Mathematics
1 answer:
hammer [34]3 years ago
3 0
The differnce of 2 perfect cubes

remember
a³-b³=(a-b)(a²+ab+b²)

so
(x^2)^3-(3)^3=(x^2-3)(x^2+3x+9)
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Create equations to solve for missing angles may be hard for me to solve. Need help on this!!​
Sonja [21]

Answer: A.2x+30=90

wwww

5 0
3 years ago
The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran
VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, X = "Comprehensive strength of concrete". We have information that X is normally distributed with a mean of 2500 psi and a standard deviation of  50 psi (or a variance of 2500 psi). In other words, X \sim N(2500, 2500).

We want to know the probability of the mean of X or \bar{X} that falls in the interval [2499;2510]. From inference theory we know that :

\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)

Now we can find the probability as follows:

P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )

Where Z \sim N(0,1), then:

P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798

8 0
3 years ago
One year, the population of a city was 64,000. Several years later it was 53,120. Find the percent decrease.
ohaa [14]

Answer:

17% i think

Step-by-step explanation:

4 0
2 years ago
Can someone help with number 20
enyata [817]

Answer:B: 36°


Step-by-step explanation:

We know that ∆ABC is isoceles, making (angle)<ABC and <BCA congruent because base angles of isoceles triangles are congruent.


Because we have parallel lines, we can look for alternate interior angle pairs. <BCA is congruent to <DAC because they're alternate interior angles.


If <BCA is x then so is <ABC.


Since triangles add up to 180° we can add all of the angles (3x+x+x) and set it equal to 180.

3x+x+x=180

5x=180

x=36


If we were looking for <BAC we would plug that back in and solve, but we're looking for <BCA which is equal to x, therefore m<BCA=36°


3 0
3 years ago
I need help with a question
kondaur [170]
What question do you need help with
5 0
3 years ago
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