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anastassius [24]
2 years ago
11

Anne is choosing a contractor. She has narrowed down her selection to two companies and will base her decision on the likelihood

that the job is done on time and on budget. She uses online reviews to estimate the probabilities.

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
6 0

Answer: Option A.

Step-by-step explanation:

The joint probability for two different things is equal to the product of the individual probabilities.

For contractor A we have:

Prob that the job is done in time  = 0.95

Prob that the job is done within the budget = 0.97

Prob of both things at the same time P = 0.95*0.97 = 0.92

For company B we have:

Prob that the job is done in time  = 0.98

Prob that the job is done within the budget = 0.93

Prob of both things at the same time P = 0.98*0.93 = 0.91

Then the best contractor is contractor A, (with a joint probability of p = 0.92) and the correct option is option A.

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Which correctly lists the three processes that are affected by freeze and thaw cycles? creep, landslide, and deposition depositi
svetlana [45]

Answer:

slump, weathering, and creep

Step-by-step explanation:

edge2020

Freezing and thawing cycle in geology is the process in which water gets in between soil space or rock cracks, freeze in a cold season, and then melt in a warmer season, exerting a force on the soil or rock around it. This force is due to the expansion and contraction of water when it changes from ice to liquid water.

The three geological processes slump, weathering and creep all depend on thawing and freezing cycle among other factors.

<u>Slump</u>: Slump is a type of geological process that occurs when coherent mass of loosely consolidated materials or a rock layer moves a short distance down a slope. The movement of a slump is characterized by sliding along a concave-upward or planar surface. <em>Causes includes earthquake shocks, thorough wetting, freezing and thawing, undercutting, and loading of a slope. </em>

<u>Weathering</u>: This is a geological process that results in the gradual disintegration of rocks into smaller sizes. It is one of the most important soil formation process, and is different from erosion by the degree of movement of the soil formed. Weathering does not move the soil from its origin. <em>Thawing and freezing cycle plays a major role in weathering by helping crack up the rocks and by also tearing the rock apart. plays a major role. </em>

<u>Creep</u>: This is the slow, often imperceptible downslope movement of soil or other debris. The effects of creep is often seen in the presence of physical characteristics like bent trees, tilted fences, and cracked walls.  Creep is caused by multiple factors, of which heaving is likely the most important process. <em>Heaving involves the expansion and contraction of rock fragments, and occurs during cycles of wetting and drying, as well as freezing and thawing.</em>

4 0
2 years ago
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Given: FGKL is a trapezoid, m∠F=90°, m∠K=120°, FK=LK=a Find: The length of midsegment.
lisov135 [29]

Try this solution (note, the length of midsegment is (KG+FL)/2), all the details are in the attachment.

Answer is marked with green colour.

7 0
2 years ago
2 At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three
forsale [732]

Let D be dogs and C be cats

<em>dogs, d, is initially five less than twice the number of cats, c</em>

D + 5 = 2C

<em>If she decides to add three more of each, the ratio  of cats to dogs will be</em>

D + 8 = 2C + 3

<em>Could Bea's Pet Shop initially have 15 cats and 20 dogs?</em>

Simply plug in the numbers

20 + 5 = 2(15)

This is clearly not true: 25 does not equal 30

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7 0
2 years ago
In the diagram below what is the approximate length of the minor arc XY
GalinKa [24]
The answer is B.

The formula for arc length is s = r(theta) Theta must be in radians, so convert 40 degrees to radians, which is 2pi/9. Multiply 2pi/9 by the radius, 9, and then you'll get the answer. Hopes this helps!
3 0
2 years ago
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Follow the steps to solve this equation. 3(2x + 6) – 4x = 2(5x – 2) + 6 1. Use the distributive property: 6x + 18 – 4x = 10x – 4
Yuliya22 [10]

Answer:

x=2.

Step-by-step explanation:

We have been given an equation 3(2x+6)-4x=2(5x-2)+6. We are supposed to solve our given equation step by step.

Step 1: Use the distributive property.

3\cdot 2x+3\cdot 6-4x=2\cdot 5x-2\cdot 2+6

6x+18-4x=10x-4+6

Step 2: Combine like terms.

6x-4x+18=10x-4+6

2x+18=10x+2

Step 3: Use subtraction property of equality:

2x-2x+18-2=10x-2x+2-2

16=8x

Step 4: Use the division property of equality:

\frac{16}{8}=\frac{8x}{8}

2=x

Therefore, the solution of our given equation is x=2.

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