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Rama09 [41]
3 years ago
11

What is the volume of a rectangular prism with a length of 8 1/2 cm, width of 9 1/3 cm and a height of 12 2/5 cm?

Mathematics
2 answers:
AlekseyPX3 years ago
8 0
I believe it is 864, I'm not 100% sure. But I think it is.
Alex73 [517]3 years ago
5 0
Well to find the volume you use the equation of V=HxWxL 
1/3 = 0.3 recuring 2/5 = 0.4 1/2 = 0.5 
12.4 X 9.3· recuring = 115.73 recuring
115.73 recuring X 8.5 = 983.73 recuring.
(if your writing it down put a dot on top of the 2nd 3 to say its recuring)
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Convert to exponential form: log 1000=3
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\log 1000=3 \\
\log_{10} 1000=3 \\
\Downarrow \\
\boxed{10^3=1000}

8 0
3 years ago
An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y
Kay [80]

Answer:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

\bar X_{1}=14 represent the mean for sample 1 (younger)

\bar X_{2}=20 represent the mean for sample 2 (older)  

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=31 sample size for the group 2  

n_{2}=31 sample size for the group 2  

t would represent the statistic

System of hypothesis

We want to test if  that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=31+31-2=60  

Replacing the info given we got:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

6 0
3 years ago
Solve for in the diagram below.
ch4aika [34]
X is 35. 180=75+3x. 180-75/3=35
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3 years ago
Martin has 128 pencils that he is putting
rosijanka [135]

128 pencils divided by 6 pencils that can be put in a box; 128÷6=21 with a remainder of 3

Martin needs 3 more pencils for the last box, beacuse he has 3 leftovers and 6 can go into the box. 6-3=3

4 0
3 years ago
You can buy DVDs at a local store for $15.49 each. You can buy them at an online store for $13.99 each plus $6 for shippimg. How
NeTakaya
15.49x = 13.99x + 6
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1.50x = 6
x = 6 / 1.50
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15.49 * 4 = 61.96
13.99(4) + 6 = 61.96
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