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Katen [24]
2 years ago
9

The number of nails of a given length is normally distributed with a mean a length of 5 in. and a

Mathematics
1 answer:
malfutka [58]2 years ago
7 0

Answer:

82 nails

Step-by-step explanation:

4.97 and 5.03   are both one standard deviation from the mean...

z scores    . 8413    and  .1587

.8413 - .1587 = .6826    or    68.26 %  of the nails are in this range

68.26 %  *  120 = ~82 nails

   

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A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.
snow_lady [41]

Answer:

4x - 3y -18 = 0 or y = 4x/3 - 6

Step-by-step explanation:

We will have to find the slope of the line first

The formula for slope:

m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}

The standard form of equation of a line is:

y = mx + b

We know m,

So the equation will be:

y= \frac{4}{3}x+b

We have to find the value of b, for that we will put any one of the point in the equation

So, putting (6,2)

2 = 4/3 * 6 + b

2 = 8 +b

b = -6

Putting the value of m and b in the standard form of equation of line,

y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0 ..

7 0
3 years ago
If the square root of the length of the hypotenuse of a right triangle is 2 units, what is the sum of the squares of the length
Soloha48 [4]
Hyp^2 = a^2 + b^2

sqrt (hyp) = 2
hyp = 4
hyp^2 = 16 then from above a^2 + b^2 = 16
5 0
3 years ago
What is 34 divided by 67?
garik1379 [7]

34/67=4.9

Hope this helps :)

8 0
3 years ago
Read 2 more answers
7. Marco is making beaded bracelets. Each
stiks02 [169]

One way to find the least common multiple of two numbers is to first list the prime factors of each number.

8 = 2 x 2 x 2

Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

2: three occurrences

3: one occurrence

So, our LCM should be

2 x 2 x 2 x 3 = 24.

So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.

4 0
3 years ago
Answer the following questions. Leave in simplest terms.
matrenka [14]
Area = length x width
Area = (5x + 1)*(3x - 2)
Area = 5x*3x + 5x*-2 + 1*3x + 1*-2
Area = 15x^2 - 10x + 3x - 2
Area = 15x^2 - 7x - 2 :)
5 0
3 years ago
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