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3 years ago

16

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−1, −1)?

1 answer:

777dan777 [17]3 years ago

4 0

First find the slope of this new line; it's the same as the slope of the "given line," which you unfortunately have not yet given. Let's call that slope "m."

Then, the equation in point-slope form of the new line is

y - (-1) = m(x - [-1]), or y+1 = m(x+1)

Please go back to the original question, obtain the slope of the "given line," and substitute that value for m in y+1 = m(x+1).

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A certain manufactured item is visually inspected by two different inspectors. When a defective item comes through the line, the

andreev551 [17]

The fraction of a defective item getting by both inspectors is $\frac{5}{100}$ = $\frac{1}{20}$

Step-by-step explanation:

Step 1; Assume that the probability of the first inspector missing a defective part is P(A) and the probability of the second inspector missing those that do get past the first inspector is P(B).

Step 2; It is given that P(A) = 0.1, we convert this into a fraction so that the final probability will be a fraction and not a decimal.

P(A) = 0.1 = $\frac{1}{10}$ .

It is given that the second inspector misses 5 out of 10 that get past the first inspector, so P(B) = $\frac{5}{10}$ .

Step 3; To calculate the probability of both inspectors missing a defective part, we multiply both the probabilities.

P(A and B happening) = P(A) × P(B) = $\frac{1}{10}$ × $\frac{5}{10}$ = $\frac{5}{100}$ = $\frac{1}{20}$ = 0.05%. So there is a 0.05% chance of both inspectors missing a defective part.

8 0

2 years ago

What is the effect on the figure k > 1 show your work please thankssss

skad [1K]

2, 3, 5, 1000 any number that is larger than 1.

4 0

3 years ago

Read 2 more answers

A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

3 years ago

What's the probability you roll the same number twice on a regular dice?

jekas [21]

1/6 because the first number that you roll doesn't matter so it depends on the 2nd roll, in which the probability of rolling a specific number is 1/6

4 0

3 years ago

The data below gives the number of speeding tickets given per day at a certain location on a highway over a two-week period.

kramer

Do you have the rest of the answers ?

6 0

2 years ago