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2 years ago

Find the x - intercept of the line: -4x-2y =16

Mathematics

1 answer:

ElenaW [278]2 years ago

5 0

Answer:

The x - intercept of the line is (-4, 0).

Step-by-step explanation:

The x-intercept is the point from which the graph passes through the x-axis.

At the x-intercept y = 0.

The provided line is: $-4x-2y=16$

Substitute y = 0 in this equation to determine the x-intercept as follows:

$-4x-2y=16\\-4x-(2\times 0) = 16\\-4x = 16\\x=-\frac{16}{4} \\=-4$

Thus, the x-intercept is (-4, 0).

Refer to the graph below.

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Answer:

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wariber [46]

2/10. 3-1/10 = 2/10.

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2 years ago

What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 1.x - 3 y - 7 = 2.x -

Nutka1998 [239]

Answer:

x- 3y - 7=0

Step-by-step explanation:

the line in the slope-intercept form:

y= mx+b

m= 1/3 and point given (1, -2) by using which we find y-intercept:

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2 years ago

Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in,and a standard deviation given by

Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with

$\mu$ = 62.5 in

$\sigma$ = 2.2 in

the normal probability density function is given by

$f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}$ , then

(a) $P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx$ = 0.5899

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking $P(\bar{X} < 63)$ where n = 37. $\bar{X}$ is normally distributed with mean 62.5 in and standard deviation $2.2/\sqrt{37}$ . So, the probability density function is given by

$g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}$ , and

$P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx$ = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

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2 years ago

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2 years ago