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3 years ago

Write each rate as a unit rate48 logs on 6 trucks

Mathematics

1 answer:

levacccp [35]3 years ago

3 0

Answer:

The best answer is neither evolved, they were created by God just as the Bible says, the plants first, then the animals. They were created one day apart. If they had not been, the plants would've died before they could have support of the animals

Step-by-step explanation:

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A coin, having probability p of landing heads, is continually flipped until at least one head and one tail have been flipped. (a

Natali [406]

Answer:

(a)

The probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

Step-by-step explanation:

(a)

Case 1

Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

$p^4 (1-p)$

Case 2

Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

$(1-p)^4p$

Therefore the probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

7 0

2 years ago

A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track

harkovskaia [24]

Answer:

C. 2.0 < t < 2.5

Step-by-step explanation:

time = distance / speed

The circumference of the lake is given by ...

C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

(6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0

3 years ago

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: $\frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3}$ square units

(22)

Similar to (21)

Area = $216\sqrt{3}$ square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

$altitude=\frac{\sqrt{3}}{2}*side$

$side = \frac{36}{\sqrt{3}}$

Hence, area of the hexagon will be: $648\sqrt{3}$ square units

(24)

Given is the inradius of an equilateral triangle.

$Inradius = \frac{\sqrt{3}}{6}*side$

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = $\frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3}$ square units

4 0

2 years ago

Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim

iren [92.7K]

Answer:

We accept H₀

Step-by-step explanation:

Normal Distribution

size sample n = 69

sample mean 18.94

standard deviation 8.3

Is a one tailed-test to the left we are traying of find out is we have enough evidence to say that the mean is less than 20 min.

1.-Test hypothesis H₀ ⇒ μ₀ = 20

Alternative hypothesis Hₐ ⇒ μ₀ < 20

2.- Critical value

for α = 0.1 we find from z Table

z(c) = - 1.28

3.-We compute z(s)

z(s) = [ ( μ - μ₀ ) / (σ/√n) ⇒ z(s) = [( 18.94 - 20 )*√69)/8.3]

z(s) = ( -1.06)*8.31/8.3

z(s) = - 1.061

4.- We compare

z(c) and z(s) -1.28 > -1.061

Then z(c) > z(s)

z(s) in inside acceptance region so we accept H₀

5 0

3 years ago

Write the equation of the line that passes through the points (-8,-5) (5,−8)

Nikolay [14]

Answer:

y=-3/13x-89/13

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-8)-(-5)/5-(-8)

m=-3/13

y-y=m(x-x1)

y-(-8)=-3/13(x-5)

y+8= -3/13x+15/13

-8 -8

y=-3/13x-89/13

7 0

3 years ago

Write each rate as a unit rate48 logs on 6 trucks​

Write each rate as a unit rate48 logs on 6 trucks