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Margarita [4]
3 years ago
13

"This might be a treasure map!" he exclaims as he flips it over, revealing a clue: \qquadP. Point. 673673673 paces \qquadS. Cove

. 861861861 paces \qquadUnder big rock "These must be the distances to the treasure!" Peter nearly wets himself. If Peter is currently facing towards Skeleton Cove, how many degrees to his left should he turn before walking 673673673 paces to the treasure? Do not round during your calculations. Round your final answer to the nearest degree.
Mathematics
1 answer:
ch4aika [34]3 years ago
6 0

Answer:

59 degrees

Step-by-step explanation:

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(5t^3)^-4<br><br> 1. 625/t^12<br> 2. 20/t^7<br> 3. 1/625t^12<br> 4. 1/20t^7
rusak2 [61]

Answer:

\large\boxed{3.\ \dfrac{1}{625t^{12}}}

Step-by-step explanation:

\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\---------------\\\\(5t^3)^{-4}=\dfrac{1}{(5t^3)^4}=\dfrac{1}{5^4(t^3)^4}=\dfrac{1}{625t^{(3)(4)}}=\dfrac{1}{625t^{12}}

4 0
3 years ago
Tim bought some 25 cent and some 29 cent stamps. He paid 7.60 dollars for 28 stamps. How many of each type of stamp did he buy?
Citrus2011 [14]

Answer:

25 cent stamps = 13 and 29 cent stamps = 15

Step-by-step explanation:

x = 25 cent stamps and y = 29 cent stamps

x + y = 28......x = 28 - y

0.25x + 0.29y = 7.60

0.25(28 - y) + 0.29y = 7.60

7 - 0.25y + 0.29y = 7.60

-0.25y + 0.29y = 7.60 - 7

0.04y = 0.60

y = 0.60 / 0.04

y = 15 <===== 29 cent stamps

x + y = 28

x + 15 = 28

x = 28 - 15

x = 13 <===== 25 cent stamps

lets check it...

0.25x + 0.29y = 7.60

0.25(13) + 0.29(15) = 7.60

3.25 + 4.35 = 7.60

7.60 = 7.60 (correct..it checks out)

8 0
3 years ago
In a population of bats living in a certain region, 30 percent have a wingspan greater than 10 inches. In a random sample of 80
Kisachek [45]

Answer:

The correct option is (e).

Step-by-step explanation:

In this case we need to determine whether there is any difference between the proportion of bats with a wingspan greater than 10 inches living outside the region from that of the bats living in the region.

The hypothesis can be defined as follows:

<em>H₀</em>: There is no difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. <em>p</em> - <em>p₀</em> = 0.

<em>Hₐ</em>: There is a difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. <em>p</em> - <em>p₀</em> ≠ 0.

The information provided is:

<em>n</em> = 80

<em>X</em> = 20

<em>p₀</em> = 0.30

A <em>z</em>-test for single proportion will be used to perform the analysis.

Compute the sample proportion of  bats living outside of the region having  a wingspan greater than 10 inches as follows:

p=\frac{X}{n}=\frac{20}{80}=0.25

The test statistic is given as follows:

z=\frac{p-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}

Compute the value of the test statistic as follows:

z=\frac{p-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}

  =\frac{0.25-0.30}{\sqrt{\frac{0.30(1-0.30)}{80}}}

  =\frac{0.25-0.30}{\sqrt{\frac{0.30\times 0.70}{80}}}

Thus, the test statistic is z=\frac{0.25-0.30}{\sqrt{\frac{0.30\times 0.70}{80}}}.

The correct option is (e).

5 0
4 years ago
Read 2 more answers
Please answer this it’s very hard for me
Nimfa-mama [501]

Answer:

C, D, E, F

Step-by-step explanation:

Remember y=mxb?

m is slope and b is y-intercept

so y=2/7x-9

Remember that slope is RISE/RUN so for every 2 squares that you go up, you go 7 squares to the right.

Also remember that since your graph is going thru your Cartiesian Plane in quadrent 4, your y value in your ordered pairs will most probably be a negative.

Please see the image to help you viualize this.

3 0
3 years ago
Unfortunately, the point chart only goes up to 98 points, I’m so so so sorry certified, you deserve more than 100 points after d
spayn [35]

Surely you're kidding.

3.31 of anything, plus 1 more of the same thing, is 4.31 of them .

What I want to know is how she carries the horse on the motorcycle.

4 0
4 years ago
Read 2 more answers
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