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grandymaker [24]
3 years ago
15

What is the slope of a this perpendicular line 0=-15-7x+3y? Explain?

Mathematics
1 answer:
Triss [41]3 years ago
7 0
Put it into slope intercept form y=mx+b where m is slope

0=-15-7x+3y
subtract 3y from both sides
-3y=-7x-15
multiply both sides by -1
3y=7x+15
divide both sdies by 3
y=7/3x+5
slope is 7/3

to find a line perpendicular to it, the slope of the other line, when multiplied by this line, must equal -1, exg
1/2 and -2/1 are perpenicular
-1 and 1 are perpendicular

therefor the line perpendicular to it has a slope of -3/7, exg y=-3/7+3
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Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standar
Maurinko [17]

Answer:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

\bar X = 94.2

The standard deviation is given by:

s= 15.5

And the standard error is given by:

SE = \frac{s}{\sqrt{n}} =3.1

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

z_{\alpha/2}= \pm 0.994

We can find the interval like this:

\bar X \pm ME

And replacing we got:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

7 0
3 years ago
PLEASE HELP ASAP!!!!! please help me!!
Maru [420]

Answer:

Step-by-step explanation:

A)

The parallelogram area formula is  b*h  just like a square but the height is the distance from the base to the parallel top .. not the side length.. that's the only difference.

the base is  x+4

total area is 5x+20

so use those in our formula

area = b*h

5x+20 = x+4 * h   now solve for h   (yes we'll have an x in the other side, but that's okay b/c their formulas do also)

(5x + 20) / (x+4) = h

B)

area = b*h

8x-24 = b*8

(8x-24)/8 = b

8x/8  - 24/8  = b

x -3 = b

C)

area = b * h

12x + 6y = 6 * h

(12x + 6y) / 6 = h

12x/6  + 6y/6  = h

2x + y = h

voila you're don :)

5 0
3 years ago
Please help me asap!!!!!
Alika [10]

Answer:

392

Step-by-step explanation:

1.49×10⁸/3.8×10⁵ = 392

8 0
2 years ago
Please answer this correctly
Gala2k [10]

Answer:

13

Step-by-step explanation:

7 more waiters than cooks

w = 7 + c

w = 7 + 6

w = 13

5 0
3 years ago
mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for
frez [133]

mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest​ .

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

Here we have , mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for the same length of time, We need to find how long must he leave it to gain 5600 in interest​ . Let's find out:

Let mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8% for time x months , So total interest gain is 5600 i.e.

⇒ \frac{8000(12)}{100}(x) +\frac{2000(8)}{100}(x) =5600

⇒ \frac{8000(12)+2000(8)}{100}(x) =5600

⇒ (80(12)+20(8))(x) =5600

⇒ (960+160)(x) =5600

⇒ (1020)(x) =5600

⇒ x =\frac{5600}{1020}

⇒ x =5.5

Therefore , mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest​ .

6 0
3 years ago
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