Answer:
The area of the right triangle is 262.5
Step-by-step explanation:
Answer:
The volume of cone = Maximum holding of glass = 60 cube cm(cm^3)
Step-by-step explanation:
Cone formula:
The radius is 3cm and Volume is 60cm^3.
if pi =~ 3 So the "h" is 6.66 cm.
"h" is distance from cone's head to its base.
The "H"( height of glass) = 6.66 + 7 = 13.6 =~ 14
Answer:
We can assume that the statistic is 

So the p value obtained was a very high value and using the significance level given
we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5
Step-by-step explanation:
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
We can assume that the statistic is 
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided
. The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:

So the p value obtained was a very high value and using the significance level given
we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5
Answer:
Eldest: $298500
Middle: $165250
Youngest: $149250
Explanation:
We can show the siblings like this:
e=2y (eldest)
m=16000+y (middle)
To find the value of y, or the youngest sibling, we use an equation.
2y+16000+y+y=613000
Simplify:
4y+16000=613000
Subtract 16000 on both sides:
4y=597000
Divide both sides by 4:
y=149250
The youngest received $149250.
Knowing this, we can plug in the numbers into the original formulas:
e=2(149250)=298500 ...or $298500
m=16000+149250=165250 ...or $165250
y=149250 ...or $149250
Add all those numbers up, and you reach $613000.
Going off the idea that this is 4/(y+2) - 9/(y-2) = 9/(y^2-4), let's first rewrite y^2-4 in the form of a^2-b^2, where a=y and b=2.
y/(y+2)-9/(y-2)=9/(y^2-2^2)
Now, use difference of squares: a^2-b^2=(a+b)(a-b)
4/(y+2)-9/(y-2)=9/((y+2)(y-2))
Multiply both sides by the Least Common Denominator: (y+2)(y-2)
4(y-2)-9(y+2)=9
Then keep on simplifying until you get your answer
-5y-26=9
-5y=9+26
-5y=35
y=35/-5
y=-7
Yay! Our answer is y=-7!