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3 years ago

Which is bigger 7/8 or 0.78

1 answer:

6 0

<span>7/8 = 7 * 1/8 and 1/8 = 1 : 8 = 0.125. After that: 7 * 0.125 = 0.875. Finally, 0.875 > 0.78. We can do it also by transforming 0.78 to fraction: 0.78 = 78/100 = 39/50 and then multiplying the numerator and the denominator by 4: 39/50 = 156 / 200 . Then we will also multiply 7/8 * 25/25 = 175/ 200. Obviously: 175/200 > 156/200. Answer: 7/8 is bigger than 0.78. </span>

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A rare mutation only occurs in 1 in every 2048 generations of fruit flies. We can assume that whether or not the mutation occurs

sergey [27]

Answer:

(A) 0.0244

(B) 1 (not 1.47 as is calculated) since probability values are between 0 and 1; 0 and 1 inclusive

Step-by-step explanation:

The rare mutation only occurs in 1 generation, out of every 2048 generations. This implies that the next occurrence will fall in or within the next 2048 generations (2 generations in 4096 generations, will have the rare mutation).

(A) The probability of occurrence of this mutation at least once (at most infinity) in 50 generations of fruit flies will surely be less than, as 50 is less than 2048.

The accurate probability is gotten when 50 is divided by 2048

50÷2048 = 0.0244

(B) The probability of seeing this mutation at least once (at most infinity) in 3000 generations would have been 1.47 but for 3 reasons;

- The full question already tells that the mutation will occur once in every 2048 generations and 3000 is greater than 2048, hence there will be a sure occurrence within 3000 generations.

- Question (b) asks you to calculate the probability of seeing this mutation at least once in 3000 generations so, the probability is 1 (representing full probability).

- In probability theory or statistics, all probability values fall within 0 and 1; with 0 representing no occurrence at all and 1 representing full occurrence.

5 0

3 years ago

For each triangle, check all that apply

Alex Ar [27]

Triangle A is an Isosceles

Triangle B is Equilateral

Triangle C is Scalene

7 0

3 years ago

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PLS HELP ASAP<br> is this aa,sas,ss, or neither

bagirrra123 [75]

Answer:

SAS

Step-by-step explanation:

the right angles are congruent

the pairs of sides are proportional

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3 years ago

Evaluate the surface integral ∫sf⋅ ds where f=⟨2x,−3z,3y⟩ and s is the part of the sphere x2 y2 z2=16 in the first octant, with

skad [1K]

Parameterize S by the vector function

$\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.

Compute the outward-pointing normal vector to S :

$\vec n = \dfrac{\partial\vec s}{\partial v} \times \dfrac{\partial \vec s}{\partial u} = \left\langle 16 \cos(u) \sin^2(v), 16 \sin(u) \sin^2(v), 16 \cos(v) \sin(v) \right\rangle$

The integral of the field over S is then

$\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv$

$\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv$

$\displaystyle = 128 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \cos^2(u) \sin^3(v) \, du \, dv = \boxed{\frac{64\pi}3}$

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2 years ago

Find the area of a square that has a perimeter of 24 cm.

Colt1911 [192]

Answer:36

Step-by-step explanation: since a square has 4 sides you divide 24 by 4 to see what one side equals which is 6 then you do 6 times 6 because that's how you find area of a square which gets you 36

5 0

3 years ago

Read 2 more answers