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3 years ago

Work out the volume of this sphere?

Mathematics

1 answer:

Gekata [30.6K]3 years ago

6 0

Step-by-step explanation:

$v = \frac{4}{3} \pi {( \frac{19}{2} )}^{3} \\ v = \frac{4}{3} \pi \: 857.375 = 3591.364 \\ = 3591.4 \: {cm}^{3}$

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Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was

CaHeK987 [17]

The margin of error is ±0.1706

<h3>What is the margin of error?</h3>

The margin of error is a statistical solution for the amount of random sampling error in the survey results.

<h3>What is 95% of a confidence level?</h3>

The 95% confidence interval means from 100 different samples computing a 95% of confidence for each sample. From this, we get the approximate value 95 of the 100 confidence intervals will contain the true mean value.

We have a sample size of n=33

The critical value of the significance level is $\alpha =0.05\\z_{\frac{\alpha }{2} }=1.96$

Then our sample mean will be 2.5

then the standard deviation is 0.5

from this, we can assume that this is a normal distribution.

then our margin of error will be

$E=$ ± $z_{\frac{\alpha }{2} }\frac{deviation}{\sqrt{n} }$

⇒ $E=$ ± $(1.96)\frac{0.5}{\sqrt{33} }\\$

≅±0.1706 is the margin of error.

Learn more about the margin of error here:

brainly.com/question/14396648

#SPJ4

4 0

2 years ago

Work out the value of angle x.<br> Х<br> 974

kramer

Check the picture below.

let's recall that twin sides stemming from a "vertex" form twin angles at the "base".

3 0

3 years ago

(1, 2), (2, -1), (3,0), (4, 1), and (5, 1) Do those points represent a function? Explain why or why not.

eduard

Answer:

The relation is a function

Step-by-step explanation:

Given

$(1, 2), (2, -1), (3,0), (4, 1),\ and\ (5, 1)$

Required

Determine if the points is a function or not

A relation can be expressed as: $(x_1,y_1), (x_2,y_2),(x_3,y_3)......(x_n,y_n)$

Where

$x = domain$

$y = range$

When any domain element occurs more than once, then the relation is not a function.

The domain of the above points are:

$x = \{1,2,3,4,5\}$

In this case, no domain occur more than once; in other words, no x value occur more than once

<em>Hence, the relation is a function</em>

8 0

3 years ago

A hot-air balloon is 1550 feet off the ground and its altitude is slowly changing at a constant rate of −712 feet per second.

stiks02 [169]

Building and solving an equation to model the situation, it is found that it will take 1.52 seconds for the balloon to drop to below 465 feet.

The initial height is of 1550 feet.

Each second, the height decreases by 712 feet.

Hence, the equation that models the height of the balloon after t seconds is:

$h(t) = 1550 - 712t$

To find how many seconds, s, will it take for the balloon to drop to below 465 feet, we have to find <u>t for which h(t) < 465</u>, hence:

$h(t) < 465$

$1550 - 712t < 465$

$712t > 1085$

$t > \frac{1085}{712}$

$t > 1.52$

It will take 1.52 seconds for the balloon to drop to below 465 feet.

A similar problem is given at brainly.com/question/25290003

5 0

3 years ago

Read 2 more answers

Which of the following equations uses the inverse property of logarithms correctly? A) log2(2^4)=4. B) 2^log2(4)=4. C) 2^log4(2)

Musya8 [376]

Answer:

(A) and (B)

Step-by-step explanation:

The inverse property of Logarithms is

㏒a $(a^x)$ = x or a^loga(x) = x

Using this property we check each option

(A) Log2(2^4) = 4 correct

(B) 2^log2(4) = 4 correct

(D) log2(4^2) $\neq$ 2 incorrect ( it is equal to 4)

(E) 2^log4(4) $\neq$ 4 incorrect ( it is equal to 2)

F) 4^log2(4) $\neq$ 4 incorrect ( it is equal to 16)

3 0

3 years ago