45. A crew member on a boat releases a camera 2 feet above the surface of a lake. The

Find the equation of the line that passes through (1,2) and is perpendicular to y=2x+3. Leave your answer in the form y=mx+c

zhenek [66]

Answer:

y = -1/2x + 5/2

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 2x + 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.

Plug this value (-1/2) into your standard point-slope equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -1/2(1) + b

To find b, multiply the slope and the input of x (1)

2 = -1/2 + b

Now, add 1/2 to both sides to isolate b.

5/2 = b

Plug this into your standard equation.

y = -1/2x + 5/2

This equation is perpendicular to your given equation (y = 2x + 3) and contains point (1, 2)

Hope this helps!

3 0

3 years ago

HELP does anyone know ?

musickatia [10]

This Simplest form is 2

3 0

3 years ago

The magic dragon cigarette company claims that their cigarettes contain an average of only 10 mg of tar. a random sample of 100

9966 [12]

Answer:

$t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333$

Critical value

The significance is 5% so then $\alpha=0.05$ and $\alpha/2=0.025$ then the critical value for this case would be $z_{\alpha/2}= 1.64$ . Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

$p_v =P(z>3.333)=0.000434$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Step-by-step explanation:

Information given

$\bar X=11.5$ represent the sample mean

$\sigma=4.5$ represent the population standard deviation

$n=100$ sample size

$\mu_o =10$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is higher than 10mg, the system of hypothesis would be:

Null hypothesis: $\mu \leq 10$

Alternative hypothesis: $\mu > 10$

the statistic for this case would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing we got:

$t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333$

Critical value

The significance is 5% so then $\alpha=0.05$ and $\alpha/2=0.025$ then the critical value for this case would be $z_{\alpha/2}= 1.64$ . Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

$p_v =P(z>3.333)=0.000434$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

6 0

2 years ago

What is the answer please help me

Delicious77 [7]

Answer

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Plz Help I do not understand this

loris [4]

Hello,

So Y variable is what you would start with.

20 <= he'll start off with for a

40 <= what he'll start off with for b

And X variables would be the # of hours you're working.

10 <= meaning every hour worked is worth 10 dollars

5 <= meaning every hour worked will be paid 5 dollars

So let's just say for option a he works two hours

(Option A)

10 (2) + 20

20 + 20

= 40

(Option B)

5 (2) + 40

10 + 40

50

As for your equations

Y = 10x + 40

Y= 5x + 40

3 0

3 years ago