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3 years ago

Write an equation in point-slope form for the line that has a slope of 6 and contains the points (8,7)

Mathematics

1 answer:

max2010maxim [7]3 years ago

5 0

The point slope form is y-y1=m(x-x1)
So the answer will be
Y-7=6(x-8

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<img src="https://tex.z-dn.net/?f=%2860%29%20%2B%20%280.07%29%20%20%5Ctimes%20%280.15%29" id="TexFormula1" title="(60) + (0.07)

Leona [35]

Answer:

First, you multiply 0.07 by 0.15

60 + (0.07) * (0.15)

60 + 0.0105

= 60.0105

I hope this helps!

-Mikayla

8 0

3 years ago

7 was multiplied by a particular number. This product was added to 12, then divided by 10. The resulting quotient was -3. Give t

Vedmedyk [2.9K]

Answer:

-6

Step-by-step explanation:

we use X to try and find the number to which 7was multiplied

so it's 7x+12=-3

if you cross multiply you will get

7x+12=-30

-30-(-12)=-42

7x=-42

X=-6

7 0

3 years ago

PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher

lana66690 [7]

Answer:

a) $n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Part a

The estimated proportion for this case is $\hat p =0.76$

Our interval is at 90% of confidence, and the significance level is given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . The critical values for this case are:

$z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The margin of error desired is given $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Replacing we got:

$n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

3 0

3 years ago

John plays basketball at the local gym. The gym charges a monthly membership fee of $15.00, plus each player pays $2.50 per game

Katyanochek1 [597]

Answer:
Step-by-step explanation:
Assuming that for each option, you play the same number of games,x
Let y represent the cost of playing x games using option A
Option A is to buy a membership card and pay $2 every time you go to the gym. The membership card costs $20. It means that
y = 20 + 2x
Let z represent the cost of playing x games using option B
Option B is to pay $4 each time you go. It means that
z = 4x
To determine how many games will be played before cost of option A equal to the cost of option B, we would equate y to z. It becomes
20 + 2x = 4x
4x - 2x = 20
2x = 20
x = 20/2 = 10
It will take 10 games for both to be the same

3 0

3 years ago

Read 2 more answers

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Novay_Z [31]

I agree with the person above, I also believe it is B, have a nice day, Merry Christmas

8 0

3 years ago