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Sidana [21]
3 years ago
6

Jarred has two cakes that are the same size.The first cake was chocolate,which he cut 12 equal parts.The second cake was marble,

which he cut into 6 equal parts.His family eats 5 slices of chocolate cake and 3 slices of marble cake.
Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Whats the question? There is 7 pieces of chocolate and 3 pieces of marble left...

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Answer:

You can't do that. There is no answer

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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.

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7 0
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Tools
tresset_1 [31]

Answer:

$81.55

Step-by-step explanation:

$15+15%=15x1.15=$17.25

$23+10%=23x1.1=$27.50

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Total=$81.55

(Time to find a cheaper shop)

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Answer:

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x-intercept(s):  ( 6 , 0 )

y-intercept(s):  ( 0 , 4 )

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Doss [256]

Answer:

y =  (- \frac{16}{9})x +  \frac{40}{9}is the slope intercept form for 16x+9y=40

Step-by-step explanation:

Here, the given equation is 16 x +  9 y = 40

Now, the slope intercept form of an equation is y = mx + c,

here m = slope of the equation,  b  =  y - intercept

So, now 16x +  9y = 40 on simplification gives

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7 0
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