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4 years ago

A line passes through the point (-8, 3) and has a slope of 3/4. Write an equation in slope-intercept form for this line.

1 answer:

6 0

General formula to make slope-intercept form
y - y₁ = m(x - x₁)

From the question, we know that
m = 3/4
(x₁,y₁) = (-8,3)

Put the number to the formula
y - y₁ = m(x - x₁)
y - 3 = 3/4(x - (-8))
y - 3 = 3/4(x + 8)
y - 3 = (3/4)x + 6
y = (3/4)x + 9

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Write an equation of a line with slope -1 that contains point P(2,-4)

Maurinko [17]

Explanation:

The slope-intercept form of a line is:

y=mx+b

where:

m is the slope of the line

b is the y-intercept

We are given that m=4 and the line passes through (7,2).

∴2=4⋅7+b

2=28+b

b=−26

Therefore the equation of the line is:

y=4x−26

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

5 0

4 years ago

(t-distribution) A manufacturing firm claims that the batteries used in laptop computers will last an average of 50 months. To m

statuscvo [17]

Answer:

There is an 38.21% probability that we find this lifespan for our sample average, or something even shorter.

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 problem, we have that:

A manufacturing firm claims that the batteries used in laptop computers will last an average of 50 months. This means that $\mu = 50$ .

We found that the sample had a average lifespan of 47.3 months, and a standard deviation of s = 9 months. What is the probability that we find this lifespan for our sample average, or something even shorter?

We have to find the pvalue of Z when $X = 47.3$ .

We are working with a sample mean, so we use the standard deviation of the sample in the place of $\sigma$ . That is $s = 9$

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

$Z = \frac{47.3-50}{9}$

$Z = -0.3$

$Z = -0.3$ has a pvalue of 0.3821.

There is an 38.21% probability that we find this lifespan for our sample average, or something even shorter.

7 0

3 years ago

¿ que pasa si divido dos numeros decimales? ¡¡necesito una explicacion clara y precisa para explicarla en clase Por favor

abruzzese [7]

Utilice la división larga. olvidarse de los puntos decimales. para que sea más fácil llevar a cabo. A continuación, poner el punto decimal en el mismo lugar que el dividendo (el número se divide) primero cambie el número estamos dividiendo por un número entero en primer lugar, desplazando el punto de ambos números de decimal a la derecha for example:
6.85/.5=68.5/5
solve
13.7

4 0

3 years ago

If mike read 30 pages an hour how long will it take him to read 1225 pages

Gnesinka [82]

Answer: 2450 min or 40hr and 50 min

Step-by-step explanation:

We can use a proportion to set up this equation.

$\frac{30 pages}{60 min} =\frac{1225 pages}{x min}$