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3 years ago

Given:

Mathematics

1 answer:

Masja [62]3 years ago

8 0

Answer:

Step-by-step explanation:

By joining N to L, you will have a right angled triangle which is right angle at N. Then r^2+36=(3+x)^2. r=9/2. PQ=2r=9

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Question help the average income in a certain region in 2013 was $62 comma 00062,000 per person per year. suppose the standard

Iteru [2.4K]

Part a
The sample size is large enough to use the central limit theorem because it is greater than 30.

Part b.
The mean of the sampling distribution is 62000.
The standard error is computed as
$SE=\frac{s}{\sqrt{n}}=\frac{27000}{\sqrt{100}}=2700$

Part c.
Compute for the corresponding z-score of more than 2700 from the population mean.
$z=\frac{2700}{2700}=1$

Therefore,
$P\left(z\ \textgreater \ 1\right)=0.1587$

6 0

3 years ago

A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon

zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

Applying implicit differentiation, the rate of change is given by:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

In this problem, we have that:

$\frac{dV}{dt} = 500, r = 70$

Hence the rate of change of the radius is given as follows:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$19600\pi\frac{dr}{dt} = 500$

$\frac{dr}{dt} = \frac{500}{19600\pi}$

$\frac{dr}{dt} = 0.0081$

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

2 years ago

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the f

Ymorist [56]

Answer:

120th caller

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

$100 bill = 30th caller

Movie tickets = 40th caller

So, to find out first to win both prizes, we will use LCM method,

LCM of 30 and 40 = 10 | 30 , 40

| 3 , 4

LCM of 30 and 40 = 10 × 3 × 4 = 120

Hence, 120th caller will be the first to win both prizes.

3 0

3 years ago

there are 120 people attending a wedding reception. There are 16 tables. Some are round and some are square. the round table sea

alexira [117]

So I won't tell you the answer but I will give you a clue. do 120 times 16 - 8 + 6

3 0

4 years ago

-21 , 55 , -97 , 34 , 56 , -83 least to greatest?

FinnZ [79.3K]

Answer:

the answer is -97, -83, -21, 34, 55, 56

Step-by-step explanation:

The simple way to put it is negitives are backwards, the bigger the number the lesser it gets. So always put the highest negitive as least, hope this helps!

5 0

4 years ago

Read 2 more answers