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Phoenix [80]
3 years ago
11

WILL MARK

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

  about 3.492

Step-by-step explanation:

The distance between points in polar coordinates can be found using the Law of Cosines. For vector magnitudes a and b, and angular difference C, the distance between them (c) can be found from ...

  c^2 = a^2 +b^2 -2ab·cos(C)

  = 7^2 +5^2 -2(7)(5)cos((217/180π -(-23/36)π)

  = 74 -70cos(332°) ≈ 12.1937

  c = √12.1937 ≈ 3.492

The distance between the given points is about 3.492 units.

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Which graph represents the function y = -2cos(21x)?<br> helllppp
stealth61 [152]

Answer:

See attached graph

Step-by-step explanation:

The function is given as :

y = -2cos(21x)

7 0
3 years ago
Allan borrows 1870 dollars from his uncle. Two years later, he borrows another 1240 dollars. If his uncle charges him 8 percent
Anna11 [10]
For t=0
<span>Allan borrows--------------------------- > 1870 dollars

for t=6 years
</span>F1 = P*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*6=6
we have
P1=1870
r=8%
m=1
t=6 years
F1 = 1870*(1 +(0.08/1))^6------------------ >2967.45 dollars

for t=2
Allan borrows--------------------------- > 1240 dollars

for t=6 years
F2 = P2*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*4=4
we have
P2=1240
r=8%
m=1
t=4 years------------> (6-2)=4 years
F2 = 1240*(1 +(0.08/1))^4------------------ >1687 dollars

F1+F2=2967.45+1687=4654.45 dollars
the answer is 4654.45 dollars


3 0
4 years ago
BRAINLIEST
fomenos
The answer is C (Length=32 feet and Width=24 feet)
5 0
3 years ago
The Hurry-Mart convenient store is re-stocking their shelves. They always stock the m&amp;m to Hershey bars at a ratio of 10 to
castortr0y [4]

Answer:

12 Hershey bars

Step-by-step explanation:

if its 10 to 8 and you have 15 m&m then you would have to do the 10 which you would have to put 8 then 5 is half of 10 so you would just half 8 which is 4 so 8+4+12. 12 Hershey bars needed to restock the shelf.

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
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