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Galina-37 [17]
3 years ago
11

A solid cube of side 8cm is dropped into a cylindrical tank of radius 7cm . calculate the rise in the water level if the origina

l depth of water was 9cm
​
Mathematics
2 answers:
Scilla [17]3 years ago
6 0
The answer is 3.3cm
NeTakaya3 years ago
4 0

Answer: y = 6cm

Step-by-step explanation: Pranking, or playing a practical joke on someone, is a time honored tradition among friends, enemies, and professionals alike.[1] And king among prank-worthy days: April Fools' Day.[2] This is the perfect time for put your pranking skills to the test, though depending on your personality, you might enjoy pranking any ol' day of the week. No worry if you don't have a favorite prank to play on your friends, all you need is a straight face, some effort, and a dash of creativity, and you'll soon be watching your target stumble unwittingly into your prank.

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A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi
Luden [163]

Answer:

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

Step-by-step explanation:

Data given and notation

\bar X=3.4 represent the sample mean  

\sigma=0.4 represent the population deviation for the sample

n=50 sample size  

\mu_o =3.3 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

Compute the test statistic  

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can replace in formula (1) the info given like this:  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

6 0
3 years ago
One astronomical unit is about 93,000,000 miles. At 20,000 miles per hour how many astronomical units can Orion travel? ( Orion
uranmaximum [27]

Answer:

2.15\times 10^{-4}\ AU

Step-by-step explanation:

Given that:-

The speed of the orion= 20,000 miles per hour

Time = 1 hour ( From source )

Thus,

Distance = Speed * Time = 20,000*1 miles = 20,000 miles

Thus, in 1 hour, the orion can travel 20,000 miles

Also,

93,000,000 miles = 1 astronomical unit

1 mile = 1/93,000,000 astronomical unit

20,000 miles = (1/93,000,000)*20,000 astronomical unit

<u>The orion can travel 2.15\times 10^{-4} AU in one hour.</u>

4 0
3 years ago
Which numbers are​ irrational?
Zepler [3.9K]

Answer:

54  hope this helps

Step-by-step explanation:

5 0
3 years ago
There are 25 students names in a hat. You choose 5 names. Three are boys names and two are girls names.How many of the 25 names
iren [92.7K]
5 is the answer your prop
5 0
3 years ago
There are 3 boxes for green chips and 5 boxes for red chips. each box has the same number of chips in it. if there are a total o
Sauron [17]

Answer:

<h2>2 in each box of course</h2>

g= green chips       r= red chips

3 boxes of green chips meaning for each box there are <em>2</em> chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total

Step-by-step explanation:

6 0
2 years ago
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