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DENIUS [597]
3 years ago
14

In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 40, and SU = 9. What is the value of the tangent of ∠S to the nearest hundredth?

Mathematics
2 answers:
pochemuha3 years ago
8 0

Answer:

4.44

hope this helps!

forsale [732]3 years ago
6 0

Answer:

4.44

Step-by-step explanation:

(rounded to nearest hundreth)

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An evolutionary biologist examined the relative fitness of Escherichia coli bacteria grown for 2000 generations, about 300 days,
Varvara68 [4.7K]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: fitness of a line of E. coli grown on an acidic environment.

n= 6 E. coli lines

Recorded fitness for each line: 1.24, 1.22, 1.23, 1.24, 1.18, 1.09

The relative fitness of 1 indicates that both bacteria types are equally fit.

A relative fitness larger than 1 indicates that the acid-evolved line is more fit than the parental line kept at neutral pH when both are grown in acidic conditions.

Meaning that if the average fitness of the E. coli lines grown on an acidic environment is greater than 1 then they are better adjusted to live in acidic conditions, symbolically: μ > 1

The statistic hypotheses are:

H₀: μ ≤ 1

H₁: μ > 1

α: 0.05

Assuming that the variable has a normal distribution you have to apply a one-sample t-test:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~~t_{n-1}

X[bar]= 1.20

S= 0.06

t_{H_0}= \frac{1.20-1}{\frac{0.06}{\sqrt{6} } } = 8.40

The p-value for this test is 0.0002

Since the p-value= 0.0002 is less than α:0.05 the decision is to reject the null hypothesis.

Then at a 5% significance level, there is significant evidence to conclude that the bacteria evolved in acidic pH are better adapted to acidic conditions.

I hope you have a SUPER day!

7 0
3 years ago
If you add 15 calls and multiple them by the total of 67 keeps and there is only one 1 Jeep subtract that by 56 and add 100 divi
yan [13]

Answer:

IT would give you a decimal whis is 966.66666666667

Step-by-step explanation:

15*67+1-56+100/6

4 0
1 year ago
Read 2 more answers
If 120% is £360, what is 100%?
Lunna [17]

Answer:

300

Step-by-step explanation:

To get from 120% to 100% you divide by 1.2  360/1.2=300 :)

5 0
1 year ago
This looks pretty easy but i have no idea how you do it can someone help? <br><br> thanks :)
DochEvi [55]

Answer:

BOI YOU TALKING ABOUT SOME THIS LOOKS EASY, THIS DOESN'T EVEN LOOK EASY PLUS... i dont know the answer. Bye

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Please help me someone !!
adelina 88 [10]

Answer:

6^{\frac{-1}{3}}

Step-by-step explanation:

put them both in exponential form and then since they are both base 6, you can add the exponents.

6^{\frac{1}{6}} *6^{\frac{-3}{6} }

4 0
3 years ago
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