TRIGONOMETRY ANSWER FAST PLS!!!

Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 4 years.

DIA [1.3K]

Yes that's right. B 1,624

5 0

3 years ago

I'm not sure how to solve this. please help

zepelin [54]

Answer:

The awnser is 2 and 3!!!!!!

8 0

2 years ago

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205

Crank

Answer:

$P(205-0.3=204.7$

$z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778$

$z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778$

So we can find this probability:

$P(-1.778$

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

$P = 1-0.9243 = 0.0757$

Step-by-step explanation:

Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info

Where $\mu=205$ and $\sigma=1.5$

We can begin finding this probability this probability

$P(205-0.3=204.7$

For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And we can find the z scores for each limit and we got:

$z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778$

$z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778$

So we can find this probability:

$P(-1.778$

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

$P = 1-0.9243 = 0.0757$

6 0

3 years ago

Keith is racing his little sister Pattie and has given her a 15 foot head start. She runs 5ft/sec and he is chasing at 8ft/sec.

hodyreva [135]

Pattie runs at 5 ft/sec
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft <span>
      = 20 </span> ft
After 2 second Pattie runs = (20+5)ft
   = 25 ft
After 3 second Pattie runs = (25+5) ft
   = 30 ft
After 4 seconds Pattie runs = (30+5) ft
   = 35 ft
After 5 seconds Pattie runs = (35+5) ft
   = 40 ft
After 6 seconds Pattie runs = (40+5) ft
   = 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
   = 16 ft
After 3 second Keith runs = (16+8) ft
   = 24 ft
After 4 second Keith runs = (24+8) ft
      = 32 ft
After 5 second Keith runs = (32+8) ft
   = 40 ft
After 6 second Keith runs = (40+8) ft
   = 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.

8 0

3 years ago

A number is twice another number and the difference is 72. Find the larger number.

Olin [163]

The larger number is 48 and the smaller number is 24

4 0

3 years ago