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pochemuha
3 years ago
7

Mia paints interior walls at a rate of 12 m^2/h. At what rate does she paint in cm^2/min?

Mathematics
2 answers:
Elenna [48]3 years ago
6 0
12m^2/h》cm^2/min

12m^2/h × 1 h/60 min=.2m^2/min

.2m^2/min × 10000cm^2/1 m^2=2000 cm^2/min

2000cm^2/min
kherson [118]3 years ago
6 0

Answer: Mia paints the walls at a rate of 2000 cm^2/min.

Explanation:

It is given that Mia paints interior walls at a rate of 12m^2/h.

We know that,

1 m = 100 cm

1m\times 1m=100cm\times 100cm

1m^2=10000cm^2

We also know that,

1 h = 60 min

12m^2/h=12\times\frac{10000}{60} cm^2/min

12m^2/h=2\times{1000}cm^2/min

12m^2/h=2000cm^2/min

Therefore, we can say that she paints the interior walls at a rate of 2000 cm^2/min.

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Answer:

0.1147

Step-by-step explanation:

When adults with smartphones are randomly​ selected, 61% use them in meetings or classes, then

  • the probability of using the smartphone is p=0.61;
  • the probability of not using the smartphone is q=1-p=1-0.61=0.39.

If 8 adult smartphone users are randomly​ selected, the probability that exactly 3 of them use their smartphones in meetings or classes can be calculated using binomial distribution as

C^8_3\cdot p^3\cdot q^{8-3}=C^8_3\cdot (0.61)^3\cdot (0.39)^5

Note that

C^8_3=\dfrac{8!}{3!(8-3)!}=\dfrac{5!\cdot 6\cdot 7\cdot 8}{2\cdot 3\cdot 5!}=\dfrac{6\cdot 7\cdot 8}{2\cdot 3}=7\cdot 8=56,

then the probabilty is

56\cdot (0.61)^3\cdot (0.39)^5\approx 0.1147

8 0
3 years ago
Solve for x, given the equation Square root of x plus 9 − 4 = 1.
Daniel [21]
ANSWER

The value of x is
16.


EXPLANATION

We want to solve the equation,


\sqrt{x + 9}  - 4 = 1

The first step is to add 4 to both sides of the equation to obtain,


\sqrt{x + 9}   = 1 + 4



We simplify the right hand side to obtain,


\sqrt{x + 9}  = 5



We now square both sides of the equation to obtain,



(\sqrt{x + 9}  ) ^{2}  =  {5}^{2}



This simplifies to


x + 9= 25



We solve for x to obtain,



x = 25 - 9


This implies that,


x = 16

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