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sergey [27]
3 years ago
14

a spherical snowball is melting in such a manner that its radius is changing at a constant rate, decreasing from 27 cm to 17 cm

in 30 minutes. at what rate, in cm3 per minute, is the volume of the snowball changing at the instant the radius is 1 cm?
Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

3.30=90

17/1=17

90+17=107

Step-by-step explanation:

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Find the third side in simplest radical form
klasskru [66]

Answer:

2 \sqrt{71}  \: units

Step-by-step explanation:

Given is a right angled triangle in which third side is the hypotenuse.

Therefore, by Pythagoras theorem:

thid \: side =  \sqrt{ {15}^{2}  + ( \sqrt{59} )^{2} }  \\  \\  =  \sqrt{225 + 59}  \\  \\  =  \sqrt{284}  \\  \\  =  \sqrt{ {2}^{2} \times 71 }  \\  \\  = 2 \sqrt{71}  \: units

3 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
lianna [129]

Answer:

The answer is 3x^2-x-6. Hope it helps you ❤️

3 0
3 years ago
Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 t
musickatia [10]

Answer:

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Step-by-step explanation:

Assuming this complete question: Which statement gives a valid interpretation of the interval?

The store manager is 90% confident that the average amount spent by the 36 sampled customers is between S38.01 and $44.29.

There is a 90% chance that the mean amount spent by all customers is between S38.01 and $44.29.

There is a 90% chance that a randomly selected customer will spend between S38.01 and $44.29.

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

8 0
3 years ago
5. Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What's the volume of a c
Eduardwww [97]
V = L *  W * H
V = 4 * 4 * 8
V = 16 * 8
V = 128 cubic ft
7 0
3 years ago
Adding &subtracting x-60=20
Alex777 [14]
Just add to find X
20 + 60 = 80
-------------------------------------
X = 80
To make sure plug it in
80 - 60 = 20
The equation is true
-----------------------------------------------
x = 80 is your answer
3 0
3 years ago
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