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4 years ago

A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?

Mathematics

2 answers:

sammy [17]4 years ago

7 0

94.2 cm divided by pi which is 3.14 equals to 30 evenly hoped this helped yall out

dusya [7]4 years ago

4 0

By definition, the volume of a cone is given by:
 $V = (1/3)*( \pi)*(r^2)*(h)
$
 Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
 $r = d / 2 
$
 Where,
d: diameter of the circular base.
Substituting values we have:
 $r = 6/2 

r = 3 cm$ 
Then, the volume will be:
 $V = (1/3) * (3.14) * (3 ^ 2) * (10) 

V = 94.2 cm ^ 3$ 
Answer:
The volume of the cone is given by:
 $V = 94.2 cm ^ 3$

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#1. Joseph wants to find the side length of a square that has an area of 150

adell [148]

Answer:

The answer is irrational

Step-by-step explanation:

we know that

The area of a square is given by the formula

$A=b^2$

where

b is the length side of the square

In this problem we have

$A=150\ ft^2$

substitute in the formula

$b^2=150$

take the square root both sides

$b=\sqrt{150}\ ft\\$

simplify

$b=5\sqrt{6}\ ft$

Remember that

A Rational Number is a number that can be made by dividing two integers

The length side is not a integer

therefore

The answer is irrational

8 0

4 years ago

The viscosity of a liquid detergent is supposed to average 800 centistokes at 25° C. A random sample of 16 batches of detergent

meriva

Answer:

a) Null hypothesis: $\mu = 800$

Alternative hypothesis: $\mu \neq 800$

b) $z=\frac{812-800}{\frac{25}{\sqrt{16}}}=1.92$

c) $p_v =2*P(z>1.92)=0.0548$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not different from the value of 800.

d) $812- 1.96 \frac{25}{\sqrt{16}}=799.75$

$812+ 1.96 \frac{25}{\sqrt{16}}=824.25$

Since the confidence interval contains the value 800 this result agrees with the result obtained in the hypothesis test we fail to reject the null hypothesis that the true mean is 800

Step-by-step explanation:

Data given and notation

$\bar X=812$ represent the mean for the sample

$\sigma=25$ represent the standard deviation for the population

$n=16$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

a) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is different from 800 centistokes:

Null hypothesis: $\mu = 800$

Alternative hypothesis: $\mu \neq 800$

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".

b) Calculate the statistic

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

$z=\frac{812-800}{\frac{25}{\sqrt{16}}}=1.92$

c) Calculate the P-value

Since is a two tailed test the p value would be:

$p_v =2*P(z>1.92)=0.0548$

Conclusion

d) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing we got:

$812- 1.96 \frac{25}{\sqrt{16}}=799.75$

$812+ 1.96 \frac{25}{\sqrt{16}}=824.25$

Since the confidence interval contains the value 800 this result agrees with the result obtained in the hypothesis test we fail to reject the null hypothesis that the true mean is 800

8 0

4 years ago

What is 9 + 10 FROM THE MEME ONLY

ASHA 777 [7]

Answer:

Step-by-step explanation:

you stoopid

4 0

2 years ago

Read 2 more answers

What is the area of the figure below i ready

hichkok12 [17]

Answer:

43 in^2

Step-by-step explanation:

6 0

3 years ago

PLEASE HELP ME

AleksAgata [21]

Answer:

The distance between point N and S is 8 units.

Step-by-step explanation:

count the distance from the x-values:

- from -2 to 6

plot them on a graph and count the units that are between them.

hope this helps ya!! :))

vote brainliest if this was helpful! ;)

7 0

3 years ago