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Gnoma [55]
2 years ago
10

What is the slope of the following line: 2y-4x=-16? For this one I got y= -8+2x. Would that mean the slope is 8?

Mathematics
1 answer:
Effectus [21]2 years ago
7 0

Answer:

2x - y = 8

Step-by-step explanation:

m/slope=2

y intercept = 2x - 8

hope this helped

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Calculate the distance between the points G=(-2, 2) and C = (5, -1) in the coordinate plane.
bulgar [2K]

Answer: sqrt(58)

Step-by-step explanation:

8 0
2 years ago
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
Question choices:<br> A: I, IV<br><br> B: II, III, IV<br><br> C: III, IV<br><br> D: II, III
gulaghasi [49]

0Answer:

A

Step-by-step explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

4 0
2 years ago
Ninety percent of the team members played in the game.If 18 players played,how many team members did not play?
Lubov Fominskaja [6]

Answer:

i think the answer is 2

Step-by-step explanation:

if you divide 18 /90 you get 0.2 then you multipliy itby 10 and get 20

8 0
3 years ago
Read 2 more answers
Penolope earned $50 dollars in may and she earned $60 in June
omeli [17]

Answer:

120

Step-by-step explanation:

6 0
2 years ago
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