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VMariaS [17]
3 years ago
7

Y

Mathematics
1 answer:
Alla [95]3 years ago
4 0

Answer:

the slope is 3/4

Step-by-step explanation:

Randomly pick two points

point 1 (0, -1)

point 2 (4, 2)

gradient = (y2-y1)/(x2-x1)

m = (2-(-1))/(4-0)

m = 3/4

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Your iron works has been contracted to design and build a 500-ft3 square-based, open-top, rectangular steel holding tank for a p
frez [133]
500 cubic feet of 1/2-inch thick stainless steel plates will weigh the same no matter what dimensions are use for area and height of tank.

A 5 foot by 5 foot area 20 feet high (500 cubic feet) will weigh just as much as a  10 foot by 10 foot area 5 feet high (also 500 cubic feet) since you are using the same amount of material for the whole tank. Only possible change in weight of tank is the use of welding material and how evenly and good the welder is at welding stainless steel.
4 0
3 years ago
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
mel-nik [20]

Answer:

0.018 is the required probability.              

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 60,000 miles

Standard Deviation, σ = 1500 miles

We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(brand will last between 56,850 miles and 57,300 miles)

P(56850 \leq x \leq 57300) = P(\displaystyle\frac{56850 - 60000}{1500} \leq z \leq \displaystyle\frac{57300-60000}{1500}) = P(-2.1 \leq z \leq -1.8)\\\\= P(z \leq -1.8) - P(z < -2.1)\\= 0.0359 - 0.0179 = 0.018= 1.8\%

P(56850 \leq x \leq 57300) = 1.8\%

0.018 is the probability a certain tire of this brand will last between 56,850 miles and 57,300 miles.

7 0
3 years ago
Use the formula to solve the problems.
slega [8]
A = p(1 + r)^t
A = 6000(1 + .07)^8
A = 6000(1.07)^8
A = 10,309.12
The amount in the account after 8 years is 10,309.12, subtract the amount of principle, and you will get the amount of interest earned.
10,309.12 - 6,000 = $4,309.12
Interest $ 4,309.12
3 0
4 years ago
Lo is leaving from work today at 5:45 p.m. She has errands to run before she meets her friends for dinner at 8 p.m. If it takes
siniylev [52]
The answer would be B.
8 0
3 years ago
Read 2 more answers
Factor the expression 12x^2+x-6.
IrinaK [193]

Answer:

(4x + 3)(3x - 2)

Step-by-step explanation:

12 {x}^{2}  + x - 6 \\  = 12 {x}^{2}  + 9x - 8x - 6  \\  = 3x(4x  +  3) - 2(4x  + 3) \\  = (4x + 3)(3x - 2) \\ are \: the \: required \: factors.

8 0
3 years ago
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