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dlinn [17]
3 years ago
7

A factory makes rectangular sheets of cardboard, each with an area of 212 square feet. Each sheet of cardboard can be cut into s

maller pieces of cardboard measuring 16 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0

Answer:<em>13</em>

<em></em>

Step-by-step explanation:

<em>AREA= L(W)</em>

<em>AREA=212 SQUARE FT</em>

<em>W=212/16</em>

<em>W=13.25</em>

<em>WHICH EQUALS 13</em>

<em />

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According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a
Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, \mu = 2.58 and Standard deviation, \sigma = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

             Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar \leq 2.50)

P(Xbar < 2.66) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } } ) = P(Z < -1.68) = 1 - P(Z  1.68)

                                                              = 1 - 0.95352 = 0.04648

P(Xbar \leq 2.50) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }  ) = P(Z \leq  -3.92) = 1 - P(Z < 3.92)

                                                              = 1 - 0.99996 = 0.00004  

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0
3 years ago
Learn with an example
Marta_Voda [28]

Answer:

y = 9x + (-7) should be the answer

6 0
3 years ago
Need help real fast please help really need it
Vladimir79 [104]

Answer:

burrito price=$8

Taco Price=$6

Step-by-step explanation:

x=burrito price

y=taco price

3x+4y=48

solve for y

y= −3 /4 x+12

plug in

6x+2y=60

6x+2( −3 /4 x+12)=60

6x+2( −3 /4 x+12)=60

x=8

now plug in for x

3x+4y=48

3(8)+4y=48

y=6

y=6

x=8

burrito price=$8

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8 0
3 years ago
Round 24,347 to the nearest thousand.
hodyreva [135]

Answer:

24000

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The expression x^4-16 is equivalent to the product of (x+2) and p(x) which expression could represent p(x)
bagirrra123 [75]
Easy
differnce of 2 perfect squares
a²-b²=(a+b)(a-b)

in this case
x⁴=(x²)²
16=4²

(x²)²-4²=(x²+4)(x²-4)
x²-4 can be factored since 4=2²
x²-2²=(x+2)(x-2)

complete factored form is
(x²+4)(x+2)(x-2)
gegroup to seperate (x+2)
(x+2)[(x²+4)(x-2)]
(x+2)p(x)

p(x)=(x²+4)(x-2)
expanded
p(x)=x³-2x²+4x-8
3 0
3 years ago
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