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3 years ago

Complete the point-slope equation of the line through -6 comma 5 and -3 comma -3

Mathematics

1 answer:

Anna007 [38]3 years ago

5 0

Step-by-step explanation:

<h3>Given points </h3>

A (-6,5)
B (-3,-3)

${\boxed{\sf Slope_{(m)}=\dfrac{y _2-y_1}{x_2-x_1}}}$

Substitute the values

$\qquad {:}\longrightarrow\mathbb m=\dfrac {-3-5}{-3+6}$

$\qquad {:}\longrightarrow\mathbb m=\dfrac {-8}{3}$

$\therefore\sf Slope=\dfrac {-8}{3}$

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Complete the input-output table for the function y = 3^x

Archy [21]

Answer:

x y

-2 0.111

-1 0.333

0 1

1 3

2 9

Step-by-step explanation:

3 0

3 years ago

Stan lawn mower had 1/8 of a gallon of gasoline in the tank. Stan started mowing and used all of the gasoline. He put 6/10 of a

tigry1 [53]

Answer: Stan used $\frac{1}{24}\ gallon$ of gasoline.

Step-by-step explanation:

Given: The amount of gasoline in the tank of Stan lawn mower= $\frac{1}{8}\ of\ gallon$

Then he put the amount of gasoline in the tank= $\frac{1}{6}\ of\ gallon$

The total amount of gasoline filled in the tank = $\frac{1}{8}+\frac{1}{6}\ gallons$

⇒ The total amount of gasoline filled in the tank = $\frac{3+4}{24}=\frac{7}{24}\ gallons$

The amount of gasoline left in the tank after mowing= $\frac{1}{4}\ of\ gallon$

Now, the total gasoline used by Stan= $\frac{7}{24}-\frac{1}{4}=\frac{7-6}{24}=\frac{1}{24}\ gallon$

5 0

3 years ago

Kate has a balance of $1,080 on her

mash [69]

Answer:

yes

Step-by-step explanation:

12*90=1080 so yes

there are 12 months in a year and if she pays 90$ each month the equation will be 12*90=1080

8 0

3 years ago

Read 2 more answers

A new anxiety medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on

Irina18 [472]

The test statistics is used to determine if the anxiety medication can happen under a null hypothesis

The test statistics that is an appropriate hypothesis test is $z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}$

<h3>How to determine the test statistic</h3>

<u>40 milligrams of medication</u>

Patients = 60

Lower stress level patients = 21

The mean of this medication is:

$\bar x = \frac{x}{n}$

So, we have:

$\bar x_1 = \frac{21}{60}$

$\bar x_1 = 0.35$

<u>75 milligrams of medication</u>

Patients = 85

Lower stress level patients = 34

The mean of this medication is:

$\bar x = \frac{x}{n}$

So, we have:

$\bar x_2 = \frac{34}{85}$

$\bar x_2 =0.4$

The test statistic is then calculated as:

$z =\frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\bar x_1(1 - \bar x_1)}{n_1} + \frac{\bar x_2(1 - \bar x_2)}{n_2}}}$

The equation becomes

$z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}$

Hence, the test statistics that is an appropriate hypothesis test is $z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}$