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olga2289 [7]
3 years ago
10

The temperature, t, in Burrtown starts at 32°F at midnight, when h = 0. For the next few hours, the temperature drops 2 degrees

every hour.Which equation represents the temperature, t, at hour h?
Mathematics
2 answers:
andrey2020 [161]3 years ago
8 0
T = -2h + 32 I need at least 20 characters so
adoni [48]3 years ago
6 0

Answer: We find the equation that represents the temperature (t) at hour (t) using the slope-intercept form and it is:

t = -2 h + 32


Solution:

The temperature, t, in Burrtown starts at 32°F at midnight, when h = 0. This represents the y-interception of the right line, when h=0 hours, t=32 °F:

Point=(h,t)→Point=(0,32)=(0,b)→b=32

For the next few hours, the temperature drops 2 degrees every hour. This represents the slope of the line (m): m=-2, negative because the temperature drops.

Slope-Intercept form:

y=mx+b; y=t, m=-2, x=h, b=32

Replacing the values:

t=-2h+32


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The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun
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Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. \mu=12.30 and \sigma=0.20

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process =  probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587

Hence, the required probability= A) 0.1587

6 0
2 years ago
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Tju [1.3M]

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2 2/5

Step-by-step explanation:

5 0
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Simplify the following expression using distributive property <br> -2(x-8)
MariettaO [177]
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2 years ago
3.24 x 10-4<br> 8.1 x 10-7
defon
28.4

Explanation

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7 0
3 years ago
What is the factored form of this expression?
kirill [66]

Answer:

= (3t+2)(3t-2)(3t-4)

Step-by-step explanation:

Given the expression 27t^3 - 36t^2 - 12t + 16

On factoring:

(27t^3 - 36t^2) - (12t + 16)

= 9t²(3t-4)-4(3t-4)

= (9t²-4)(3t-4)

factoring 9t²-4

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From different of two square, a²-b² = (a+b)(a-b)

Hence (3t)² - 2² = (3t+2)(3t-2)

= (9t²-4)(3t-4)

= (3t+2)(3t-2)(3t-4)

Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)

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