Write equations for the horizontal and vertical lines passing through the point (5, -6)

Morgarella [4.7K]

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

5 0

4 years ago

Compute a 99% confidence interval for the mean weight of toxic substance per gram of mold culture. State the assumption you make

kow [346]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 99% confidence interval is $2.4309 < \mu < 4.9328$

Step-by-step explanation:

From the question we are told that

The data is 3, 2,5, 3, 2, 6, 5,4.5, 3, 3, and 4

The sample size is n = 11

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i}{n}$

=> $\= x = \frac{3+ 2+5+ \cdots +4 }{11}$

=> $\= x = 3.6818$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum [ x_i - \= x ] }{n} }$

=> $\sigma = \sqrt{\frac{[ 3 - 3.6818 ]^2 +[ 2 - 3.6818 ]^2 + \cdots + [ 4 - 3.6818 ]^2 }{11} }$

=> $\sigma = 1.3091$

Given that the confidence interval is 99% then the level of significance is mathematically represented as

$\alpha= (100 - 99) \%$

=> $\alpha= 0.01$

Given that the sample size is small we will making use of t distribution table

Generally from the t distribution table the critical value of at a degree of freedom of is

$t_{\frac{\alpha }{2} , 10 } =3.16927267$

Generally the margin of error is mathematically represented as

$E = 3.16927267 * \frac{1.3091 }{\sqrt{11} }$

$E = 1.251$

Generally 99% confidence interval is mathematically represented as

$3.6818 -1.251 < p < 3.6818 + 1.251$

=> $2.4309 < \mu < 4.9328$

8 0

3 years ago

- 1/3 (4+z)=-5/6<br> plz will mark as brainlest

g100num [7]

Answer: = − 3 /2

Precalculus, Matrix

Rearrange terms, Combine multiplied terms into a single fraction, distribute, Multiply all terms by the same value to eliminate fraction denominators, Multiply all terms by the same value to eliminate fraction denominators . Cancel multiplied terms that are in the denominator . Multiply the numbers . Add 4 to both sides of the equation . Simplify.

Divide both sides of the equation by the same term . Simplify

6 0

3 years ago

Read 2 more answers

Two parellel lines are crossed by a transversal

sergiy2304 [10]

Answer:

Будит ответ k = 60

это правильно

8 0

3 years ago

When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?

Anna [14]

When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution then"it is flatter and wider than the normal distribution."

<h3>What is normal distribution?</h3>

The normal distribution explains a symmetrical plot of data around the mean value, with the standard deviation defining the width of the curve. It is represented graphically as "bell curve."

Some key features regarding the normal distribution are-

The normal distribution is officially known as the Gaussian distribution, but the term "normal" was coined after scientific publications in the nineteenth century demonstrated that many natural events emerged to "deviate normally" from the mean.
The naturalist Sir Francis Galton popularized the concept of "normal variability" as the "normal curve" in his 1889 work, Natural Inheritance.
Even though the normal distribution is a crucial statistical concept, the applications in finance are limited because financial phenomena, such as expected stock-market returns, do not fit neatly within a normal distribution.
In fact, prices generally follow a right-skewed log-normal distribution with fatter tails.

As a result, relying as well heavily on the a bell curve when forecasting these events can yield unreliable results.

To know more about the normal distribution, here

brainly.com/question/23418254

#SPJ4

6 0

2 years ago