Prove that the conjecture is false by providing a counter example.

Alja [10]

So the points are (-3/7,-8/3) and (-5/2,-2)
to find the slope do
(y2-y1)/(x2-x1)
(x,y)
x1=-3/7
y1=-8/3
x2=-5/2
y2=-2

subsitute
$\frac{-2-( \frac{-8}{3} )}{ \frac{-5}{2} - \frac{-3}{7} }$
simplify by finding similar denomenators
$\frac{\frac{-6}{3}-( \frac{-8}{3} )}{ \frac{-35}{14} - \frac{-6}{14} }$
$\frac{\frac{-6}{3}( \frac{8}{3} )}{ \frac{-35}{14} + \frac{6}{14} }$
add
$\frac{\frac{2}{3}}{ \frac{-29}{14}}$
multiply top and bottom by $\frac{-14}{29$
$\frac{\frac{-28}{87}}{1}$
$\frac{-28}{87}$
answer is
slope= $\frac{-28}{87}$

8 0

2 years ago

Find the third side in simplest radical form:

Mkey [24]

Answer: 53

Step-by-step explanation:

They are both right legs. Use a^2+b^2=c^2.

A= 28^2 B=45^2

A= 784 B= 2025. 2025+ 784= 2809 (radical 2809) To simplified is 53

5 0

3 years ago

Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to

Alchen [17]

Amount of money Aisha receive from selling all of the bracelets is $33.25.

<u>Step-by-step explanation:</u>

In this question, its given that Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to make. Aisha sells each bracelet for $0.10 more than it cost her to make. Let's calculate Number of bracelets Aisha made as $\frac{total-cost}{cost-of-one-bracelet}$ .

Number = $\frac{total-cost}{cost-of-one-bracelet}$

⇒ Number = $\frac{total-cost}{cost-of-one-bracelet}$

⇒ Number = $\frac{29.75}{0.85}$

⇒ Number = $35$

Now , its given that Aisha sell these bracelets with $0.10 more then it cost her i.e. at $0.95 , Let's calculate selling price as :

Price = $0.95(35)$

Price = $33.25

Therefore, amount of money Aisha receive from selling all of the bracelets is $33.25.

4 0

3 years ago

A functionf(x) is graphed on the coordinate plane.

AleksandrR [38]

The function rule in slope-intercept form is y = -4x -2

<h3>What is a function ?</h3>

A function is defined as the mathematical statement which defines relation between a dependent variable and an independent variable.

A function f(x) is graphed on the coordinate plane.

The equation for a straight line is given by

y = mx + c

Where m is the slope and c is the intercept on y axis

The intercept on y axis is -2

c = -2

At x = 0 , y =-2

At x = -1 , y =2

m =(2 -(-2))/(-1-0)

m = -4

Therefore ,the function rule in slope-intercept form is y = -4x -2 .

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0

2 years ago

According to a study conducted in one city, 39% of adults in the city have credit card debts of more than $2000. A simple random

Butoxors [25]

Answer:

The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean $\mu = 0.39$ and standard deviation $s = 0.0488$

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

$p = 0.39, n = 100$

Then

$s = \sqrt{\frac{0.39*0.61}{100}} = 0.0488$

By the Central Limit Theorem:

The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean $\mu = 0.39$ and standard deviation $s = 0.0488$

5 0

2 years ago