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2 years ago

Graph y=6x−7 Identify the x-intercept.

Mathematics

1 answer:

valina [46]2 years ago

6 0

9514 1404 393

Answer:

x-intercept: 7/6

Step-by-step explanation:

The x-intercept is found by solving for x when y=0.

0 = 6x -7

7 = 6x . . . . . add 7 to both sides of the equation

7/6 = x . . . . divide both sides by 6

The x-intercept is 7/6 = 1 1/6 ≈ 1.167.

The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.

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At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T

USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

Step-by-step explanation:

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.

In this question:

$\mu = 73, \sigma = 10.6$

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

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

$-1.645 = \frac{X - 73}{10.6}$

$X - 73 = -1.645*10.6$

$X = 55.6$

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0

2 years ago

Please help, see attachment for equation!

Alekssandra [29.7K]

Answer:

The answer to your question is the last option

Step-by-step explanation:

Quadratic equation

2 = - x + x² - 4

Order the equation from the highest power to the lowest power. Do not consider 2 because it is not consider in the options given.

x² - x - 4 = 0

Identify a, b and c

(1) x² -(1) x - 4 = 0

a = 1 b = -1 c = - 6

Substitution

$\frac{-(-1) +- \sqrt{(-1)^{2} - 4(1)((-4)}}{2(1)}$

3 0

3 years ago

i don’t know how to divide integers and i have a test tomorrow based on adding subtracting multiplication and division on intege

ryzh [129]

In order to divide integers, the first thing to check is the sign:

- When dividing two positive integers, the result will be a positive integer.

- When dividing two negative integers, the result will be a positive integer.

- When dividing integers with different signs (one negative and one positive), the result will be a negative integer.

Then, after checking the sign, we need to calculate the value of the division.

Some examples of divisions are:

$\frac{24}{8},\frac{-15}{5},\frac{-100}{-10}$

In the first division, the result is 3, because we have that 8 * 3 is equal 24.

Also, both numbers are positive, so the result is also a positive number.

In the second division, the result is -3, because 5 * (-3) is equal -15.

The result is negative, because the two numbers have different signs.

In the third division, the result is 10, because -10 * 10 is equal -100.

The result is positive, because both numbers are negative.

4 0

11 months ago

Convert the fraction 2/11 to a decimal using long division

kupik [55]

Answer:

0.18181818181

Step-by-step explanation:

6 0

2 years ago

which expression have a value of 16/81? check all that apply. (2/3)^4, (16/3)^4, (4/81)^2, and (4/9)^2

notka56 [123]

$Use\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\left(\dfrac{2}{3}\right)^4=\dfrac{2^4}{3^4}=\dfrac{16}{81}\ :)\\\\\left(\dfrac{16}{3}\right)^4=\dfrac{16^4}{3^4}=\dfrac{16^4}{81}\neq\dfrac{16}{81}\ :(\\\\\left(\dfrac{4}{81}\right)^2=\dfrac{4^2}{81^2}=\dfrac{16}{81^2}\neq\dfrac{16}{81}\ :(\\\\\left(\dfrac{4}{9}\right)^2=\dfrac{4^2}{9^2}=\dfrac{16}{81}\ :)$

6 0

3 years ago

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