All categories

2 years ago

Write an equation in point-slope form of the line through point J (4,1) with slope -4.

1 answer:

8 0

$\bf J(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})~\hspace{10em}slope = m\implies -4\\\\\\ \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-1=-4(x-4)$

You might be interested in

Which graph could represent a constant balance in a bank account over time? A graph titled Daily Balance. The horizontal axis sh

Savatey [412]

Answer:

Which graph could represent a constant balance in a bank account over time? A graph titled Daily Balance. The horizontal axis shows time (days), numbered 1 to 8, and the vertical axis shows Balance (dollars) numbered 5 to 40. The line begins at 35 dollars in 0 days and ends at 0 dollars in 7 days. A graph titled Daily Balance. The horizontal axis shows time (days), numbered 1 to 8, and the vertical axis shows Balance (dollars) numbered 5 to 40. The line begins at 0 dollars in 5 days and extends vertically to 40 dollars in 5 days. A graph titled Daily Balance. The horizontal axis shows time (days), numbered 1 to 8, and the vertical axis shows Balance (dollars) numbered 5 to 40. The line begins at 30 dollars in 0 days and ends at 30 dollars in 8 days. A graph titled Daily Balance. The horizontal axis shows time (days), numbered 1 to 8, and the vertical axis shows Balance (dollars) numbered 5 to 40. The line begins at 0 dollars in 0 days and ends at 40 dollars in 8 days.

7 0

2 years ago

Read 2 more answers

Which choice best describes the angles st

Aleks04 [339]

Supplementary because the add to 180°

8 0

2 years ago

I WILL GIVE BRAINLYEST TO RIGHT ANSWER<br> -4w - 4 =8<br> what is X equal to

Alecsey [184]

Answer:

w = -3

Step-by-step explanation:

-4w - 4 = 8

Combine the constants by adding 4 to both sides.

-4w = 12

Isolate w by dividing by -4.

w = -3

Check your work by plugging w = -3 into the original equation.

-4(-3) - 4 = 8

12 - 4 = 8

8 = 8

Your answer is correct.

8 0

3 years ago

Help please y'all <br> .......

Natasha2012 [34]

I think the answer is Q = -3

3 0

3 years ago

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,393 miles, with a standard

Pie

Answer:

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

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 are 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 $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 30393, \sigma = 2876, n = 37, s = \frac{2876}{\sqrt{37}} = 472.81$

What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So

X = 30732

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

By the Central Limit Theorem

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

$Z = \frac{30732 - 30393}{472.81}$

$Z = 0.72$

$Z = 0.72$ has a pvalue of 0.7642.

X = 30054

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

$Z = \frac{30054 - 30393}{472.81}$

$Z = -0.72$

$Z = -0.72$ has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

4 0

3 years ago