Help!!!!!!!!! Please!!!!

Find a general linear equation Ax+By+C=0 of the straight line that passes through the point (1,1) and has slope 1/5.

dedylja [7]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 1}}\quad ,&{{ 1}})\quad 
% (c,d)

\end{array}
\\\quad \\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies\cfrac{1}{5}
\\ \quad \\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values}\\
\textit{and move everything to}\\
\textit{the left-side}
\end{array}\\
\qquad \uparrow\\
\textit{point-slope form}$

5 0

3 years ago

SOMEONE PLEASE HELP!!! I AM IN 3RD GRADE

Evgen [1.6K]

The answer is 1/3. I hope I’m not late but I just saw this

5 0

3 years ago

I don't understand this, what's the answer?

Trava [24]

Answer: y⁷
Steps: y¹¹ x y⁻⁴ = y¹¹⁺⁻⁴ = y⁷

6 0

3 years ago

What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 perce

Goshia [24]

Given:

Matthew's bank lent him $8,000 for four years at an interest rate of 6 percent, compounded annually.

To Find:

The total amount that Matthew's bank will receive after 4 years.

Answer:

The total amount the bank will receive after 4 years is $10,099.8

Step-by-step explanation:

The principal amount 'P' lent to Matthew is $8000

The time period 't' is 4 years

The lending rate 'r' is 6%

As the interest is compounded annually, we use the Compound Interest formula to calculate the amount the bank will receive 'A' after 4 years.

The formula we use is

$A=P(1+r)^t\\=8000(1+\frac{6}{100})^4\\\\=8000(\frac{106}{100})^4\\\\=8000(1.06)^4\\\\=10099.81$

Thus, the total amount the bank will receive after 4 years is $10,099.8

8 0

3 years ago

Read 2 more answers

In a restaurant, the proportion of people who order coffee with their dinner is .9. a simple random sample of 144 patrons of the

antoniya [11.8K]

Let P be the proportion of people who order coffee with their dinner . Let n be the sample size

P=0.9 and n=144

P follows Normal distribution .

a. The expected value is E(p) = P =0.9

Standard deviation = $\sqrt{\frac{p*(1-p)}{n}}$

= $\sqrt{\frac{0.9* (1-0.9)}{144}}$

Standard deviation = 0.025

The shape of sampling distribution is bell shaped symmetric about mean.

b. The probability that the proportion of people who will order coffee with their meal is between 0.85 and 0.875

P(0.85 < p < 0.875) = $P(\frac{0.85 -0.9}{0.025} < \frac{p-mean}{standard deviation} < \frac{0.875-0.9}{0.025} )$

= P(-2 < Z < -1)

= P(Z < -1) - P(Z < -2)

= 0.1587 - 0.0228

P(0.85 < p < 0.875) = 0.1359

The probability that the proportion of people who will order coffee with their meal is between 0.85 and 0.875 is 0.1359

c. the probability that the proportion of people who will order coffee with their meal is at least 0.945

P(p > 0.945) = $P( \frac{p-mean}{standard deviation} > \frac{0.945 - 0.9}{0.025} )$

= P(z > 1.8)

= 1 - P(z < 1.8)

= 1 -0.9641

P(p > 0.945) = 0.0359

the probability that the proportion of people who will order coffee with their meal is at least 0.945 is 0.0359

5 0

3 years ago