Use the Pythagorean Theorem to find the distance from Anna's house to the tree house. A) 105 B) 141 C) 193 D) 89

there are 3 alligators, 16 turtles, and 12 snakes in the reptile exhibit at the zoo. what is the ratio

baherus [9]

Answer: 3:31= alligators to total animals. 16:31= turtles total animals. 12:31= snakes to total animals.

Step-by-step explanation:

3+16+12=31 the total

6 0

3 years ago

Researchers are interested in the effect of a certain nutrient on the growth rate of plant seeding. Use a hydroponics grow proce

Rashid [163]

Answer:

The 95% confidence interval for the mean would be given by (56.604;68.596)

The 99% confidence interval for the mean would be given by (53.196;72.004)

Step-by-step explanation:

1) Previous concepts

When we compute a confidence interval for the mean, we are interested on the parameter population mean, and we use the info from the sample to estimate this parameter.

2) Basic operations

The sample mean can be calculated with the following formula

$\sum_{i=1}^n \frac{x_i}{n}$

Using excel we can use this function to calculate the mean:

=AVERAGE(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is $\bar X=62.6$

In order to find the sample deviation we can use this formula

$s=\sqrt{\sum_{i=1}^n \frac{(x_i-\bar X)^2}{n-1}}$

And using excel we can use this function to calculate the sample standard deviation:

=STDEV.S(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is $s=5.713$

The sample size for this case is n=6, n<30 so then is better use the t distribution to calculate the margin of error. First we need to calculate the degrees of freedom, on this case $df=n-1=6-1=5$

The formula for the confidence interval would be given by:

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

3) Part a

If we want a 95% or 0.95 of confidence, then the value for the signficance is $\alpha=1-0.95=0.05$ , and $\alpha/2=0.025$ , and $1-\frac{\alpha}{2}=0.975$ so we can find the critical t value with the following formula in excel:

=T.INV(0.975,5)

And we got $t_{\alpha/2}= 2.571$

And we can replace into equation (1) and we got:

$62.6 \pm 2.571\frac{5.713}{\sqrt{6}}$

And using excel with the following formulas we got:

=62.6-2.571*(5.713/SQRT(6)) = 56.604

=62.6+2.571*(5.713/SQRT(6)) = 68.596

So the 95% confidence interval for the mean would be given by (56.604;68.596)

4) Part b

If we want a 99% or 0.99 of confidence, then the value for the signficance is $\alpha=1-0.99=0.01$ , and $\alpha/2=0.005$ , and $1-\frac{\alpha}{2}=0.995$ so we can find the critical t value with the following formula in excel:

=T.INV(0.995,5)

And we got $t_{\alpha/2}= 4.032$

And we can replace into equation (1) and we got:

$62.6 \pm 4.032\frac{5.713}{\sqrt{6}}$

And using excel with the following formulas we got:

=62.6-4.032*(5.713/SQRT(6)) = 53.196

=62.6+4.032*(5.713/SQRT(6)) = 72.004

So the 99% confidence interval for the mean would be given by (53.196;72.004)

8 0

3 years ago

How could you use this information to determine the erosion after 10 years? *

Brums [2.3K]

Answer:

${\huge{\mathfrak{\underbrace{\pink{Answer}}}}}$

.

<h3>Erosion is the geological process in which earthen materials are worn away and transported by natural forces such as wind or water. A similar process, weathering, breaks down or dissolves rock, but does not involve movement.</h3>

.

u hope this helps you.....

3 0

3 years ago

WHAT VARIES MORE 6.6 OR 4.3: NO LINKS

Svetllana [295]

Answer:

what exactly do you mean by that?

Step-by-step explanation:

**i promise to go back and provide a real answer** (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

8 0

2 years ago

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Find the value of x help me pls

goldenfox [79]

Answer:

x=12

Step-by-step explanation:

Since the angle needs to add up to 90, you will first need to subtract 30 from 90. This will leave you with 60. Next you will divide 60 by 5 which will give you 12 which is the answer.

6 0

2 years ago

Read 2 more answers