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3 years ago

Solve for x. 13x + 7 = 5x - 20

Mathematics

2 answers:

Morgarella [4.7K]3 years ago

5 0

13x + 7 = 5x - 20
13x - 5x = -20 - 7
8x = -27
x = (-27 / 8)
x = -(27/8)

Serga [27]3 years ago

4 0

Answer:

the correct answer is x = -3 3/8

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Find the parabola with equation y = ax2 + bx whose tangent line at (3, 12) has equation y = 10x − 18. y = incorrect: your answer

pishuonlain [190]

For these questions to be true and the equation of the tangent to have an equal y to the equation of the parabola i guess there has to be a "c" and in that case integrate the equation of the tangent you will have a = 5 and b = -18 then you substitute in the equation of the parabola with the point you have you will find that "c" = 21 and so the equation of the parabola becomes y = 5x^2 - 18 x +21

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2 years ago

Solve the proportion

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2 years ago

The inside diameter of a randomly selected piston ring is a random variable with mean value 8 cm and standard deviation 0.03 cm.

S_A_V [24]

Answer:

a) P(7.99 ≤ X ≤ 8.01) = 0.8164

b) P(X ≥ 8.01) = 0.0475.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean

In this problem, we have that:

$\mu = 8, \sigma = 0.03$

(a) Calculate P(7.99 ≤ X ≤ 8.01) when n = 16.

n = 16, so $s = \frac{0.03}{4} = 0.0075$

This probability is the pvalue of Z when X = 8.01 subtracted by the pvalue of Z when X = 7.99. So

X = 8.01

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

Applying the Central Limit Theorem

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

$Z = \frac{8.01 - 8}{0.0075}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

X = 7.99

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

$Z = \frac{7.99 - 8}{0.0075}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.9082 - 0.0918 = 0.8164

P(7.99 ≤ X ≤ 8.01) = 0.8164

(b) How likely is it that the sample mean diameter exceeds 8.01 when n = 25? P(X ≥ 8.01) =

n = 25, so $s = \frac{0.03}{5} = 0.006$

This is 1 subtracted by the pvalue of Z when X = 8.01. So

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

$Z = \frac{8.01 - 8}{0.006}$

$Z = 1.67$

$Z = 1.67$ has a pvalue of 0.9525

1 - 0.9525 = 0.0475

P(X ≥ 8.01) = 0.0475.

4 0

3 years ago

The Georgia state constitution contains a bill of rights .which of these is Most likely the best entry in this section of Georgi

Pavlova-9 [17]

That would be the freedom of speech and the freedom of the press.

Both of these are without a doubt a center of political to the political system existing in the United States. They state that both the freedom of speech and the press is to be expressed freely. These rights are the key to the political discourse as they allow an honest conversation and exchange of opinion that is of paramount importance in democracy. People are free to express their opinions and through the press they gain the necessary information to make educated decisions about the burning political questions.

Hope this helps!

6 0

3 years ago