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Karo-lina-s [1.5K]
3 years ago
11

Erin's water bottle holds 665 milliliters.dylan is carrying two water bottles.each one holds 0.35 liters.who is carrying more wa

ter?how much more?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
6 0
Erin is carrying more water 

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Which expression uses the commutative property to make it easier to evaluate (-1/3) x 2/5 x (-9)?
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the answer is A

Step-by-step explanation:

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Hello, can somebody please help me with this word problem? Thanks.
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We are given that this is an ideal gas, and that the volume and presumably the number of moles of gas are constant. We can use Gay-Lussac's Law, which describes volume and pressure. We have that pressure is directly proportional to volume. For a change in a gas, we can write the equation as 
\dfrac{P_i}{T_i} = \dfrac{P_f}{T_f},
where i denotes initial and f denotes final.

We have that T_i=600 \ K, T_f=800 \ K, and P_f=30 \ atm. We need to find P_i. To do so, let's first rearrange Gay-Lussac's equation to solve for P_i.

\dfrac{P_i}{T_i} = \dfrac{P_f}{T_f} \\\\P_iT_f=P_fT_i\\\\P_i= \dfrac{P_fT_i}{T_f}

Now, we plug in our values to get P_i.

P_i= \dfrac{P_fT_i}{T_f}=\dfrac{30\ atm \ 600 \ K}{800 \ K} = 22.5 \ atm.

This seems like a reasonable value, because as temperature goes up, pressure goes up, and an increase in temperature corresponds to an increase in pressure.

Technically, you were given values with only one significant figure, so you can only report the value as 20 \ atm, but this depends on how your instructor usually does these problems!

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3 years ago
Suppose that in a random selection of 100 colored​ candies, 26​% of them are blue. The candy company claims that the percentage
quester [9]

Answer:  a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : H_0:p=P

Alternate hypothesis : H_1:p\neq P

So, the test statistic would be

z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219

Hence, a) -0.2252, b) 0.8219

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