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3 years ago

Round 50.057 to the nearest hundredth.

Mathematics

2 answers:

icang [17]3 years ago

8 0

50.057 = 50.06 to the nearest hundredth.

Marrrta [24]3 years ago

7 0

Your answer would be 50.06.

Hope I helped and if you need more you could always ask me :)

-Dawn

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A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^

vodomira [7]

Answer:

285541

Step-by-step explanation:

According To The Question,

Given, A culture of bacteria has an initial population of 41000 bacteria and doubles in every 5 hours & $P_{t} = P_{i}*(2)^{\frac{d}{t} }$ .

Now, for the population of bacteria in the culture after 14 hours is $P_{t}$ . We have Initial Population( $P_{i}$ )=41000 , d=14 & t=5 .

Put These Value in Above Formula, We get

$P_{t} = 41000*(2)^{\frac{14}{5} }$

$P_{t} = 41000*2^{2.8}$

$P_{t} = 41000*(6.9644)$

$P_{t} =$ 285540.5847 ≈ 285541

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3 years ago

24% of U.S. adults say they are more likely to make purchases during a sales tax holiday. you randomly select 10 adults. find th

neonofarm [45]

Answer:

a) $p(X= 2) = 0.261$

b) P(x>2) = 0.566

c) P(2<x<5) = 0.334

Step-by-step explanation:

Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday

Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24

n = 10

By using Poisson distribution

mean number of make purchases during a sales tax holiday

λ = np = 10 X 0.24 = 2.4

The probability of getting exactly '2'

The probability $p(X= 2) = e^{-\alpha } \frac{\alpha^r }{r! }$

$p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }$

$p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }= 0.261$

b) The probability of getting more than '2'

$P(X>2) = 1- {p(x=0)+p(x=1)+p(x=2)}$

$= e^{-2.4 } \frac{(2.4)\^0 }{0! }+ e^{-2.4 } \frac{(2.4)\^1 }{1!}+e^{-2.4 } \frac{(2.4)\^2 }{2!}$

= 0.090 + 0.2177+0.261 = 0.566

P(x>2) = 0.566

c) The probability of getting between two and five

P( 2<x<5) = P(x=3)+p(x=4) = $= e^{-2.4 } \frac{(2.4)\^3 }{3! }+ e^{-2.4 } \frac{(2.4)\^4 }{4!}+$

P(2<x<5) = 0.2090 + 0.125 = 0.334

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3 years ago

In the diagram below, x is a whole number. what is the smallest possible value for x?

lesya692 [45]

Answer:

The smallest possible value for x is $9\ units$

Step-by-step explanation:

we know that

The Triangle Inequality Theorem. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

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The value of x must be greater than $8.5\ units$

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Please restate the question

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8_murik_8 [283]

Answer:

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3 years ago