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Nataliya [291]
4 years ago
15

A glass is 1/3

Mathematics
2 answers:
vodomira [7]4 years ago
8 0

Answer:

216 cm³

Step-by-step explanation:

(5/8 - 1/3)X = 63

X = 63 × 24/7 = 216

timama [110]4 years ago
6 0

Answer:

The~total~volume ~of ~the ~glass~ is~ 216 ~cm^3.

Step-by-step explanation:

Greetings!

I'm~Isabelle~Williams~and~I~will~be~answering~your~question!

Let~``x"~be~the~volume~of~the~glass.

We~know~that~the~glass~is~\frac{1}{3} ~full.

So,~ the ~volume ~of ~the~ glass ~which~ is~ filled~:\frac{1}{3}x

If ~\frac{5}{8} ~^t^h~ of ~the~ glass ~is~ filled,

The~ new~ volume ~of ~the~ glass~ which ~is~ filled~:\frac{5}{8}x

Now,~according~to~the~question:

\frac{1}{3}x+63=\frac{5}{8}x

63=\frac{5}{8}x-\frac{1}{3}x

63=\frac{(15-8)x}{24}

63=\frac{7x}{24}

9=\frac{x}{24}

⇒ x=9\times 24=216

Thus,~the~total~volume~of~the~glass~is~216cm^3.

Hope~my~answer~helps!~Have~an~amazing~day~ahead!

-Isabelle~Williams

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A stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days. Can thes
san4es73 [151]

Answer:

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

Step-by-step explanation:

<u><em>Step:1</em></u>

Given that a stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days.

Given that the sample proportion

                      p^{-} = \frac{131}{252} = 0.5198

Level of significance = 0.05

Z₀.₀₅ = 1.96

<u><em>Step:2</em></u>

<u><em>95% confidence interval for the proportion of days that IBM stock increases.</em></u>

<u><em></em></u>(p^{-} - Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p^{-} + Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } )<u><em></em></u>

(0.5198 - 1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} } , 0.5198 +1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} })

(0.5198 -  0.06166 , 0.5198+0.06166)

(0.45814 , 0.58146)

<u><em>Final answer:-</em></u>

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

3 0
3 years ago
The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?
yKpoI14uk [10]

Answer:

34

Step-by-step explanation:

1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then

2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;

3. according  to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;

4. if to make up the system of two equation and calculate the values of 'x' and 'y':

5. if x=34, then Caleb is 34 old now.

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3 years ago
A bag contains 16 black marbles, 20 orange marbles, 36 gray marbles and 34 purple marbles. If a marble is selected at random, fi
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3 0
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3. the answer is 3 5/6


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6 0
3 years ago
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