USING TOOLS Evaluate tan 31° using a calculator. Round your answer to four decimal places.
1 answer:
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Answer:
The reaction ca occur at 10 degree Celsius or -14 degree Celsius.
Step-by-step explanation:
We are given the following in the question:
The completion of a chemical reaction is expressed by the equation
where y is the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius at which the reaction occurs.
We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.
Putting y = 160
Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.
Answer:
The probability is 0.252 ⇒ 3rd answer
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (M - μ)/σM , where
# M is the sample mean
# μ is the mean
# σM is the standard deviation of the sample mean (standard error)
- The rule of σM = σ/√n , where n is the sample size
* Lets solve the problem
∵ The mean weight is 20.1 ounces
∴ μ = 20.1
∵ The standard deviation is 0.3 ounces
∴ σ = 0.3
∵ You randomly select 25 cartons
∴ n = 25
∵ Their mean weight is greater than 20.06
∴ M = 20.06
- Lets find σM
∵ σM = σ/√n
∴ σM = 0.3/√25 = 0.3/5 = 0.06
- Lets find z-score
∵ z-score = (M - μ)/σM
∴ z-score = (20.06 - 20.1)/0.06 = -0.04/0.06 = - 0.6670
- To find P(M > 20.06) you will asking to find the proportion of area
under the standard normal distribution curve for all z-scores > -0.670
- It can be read from a z-score table by referencing a z-score of -0.670
- Look to the attached table
∴ P(M > 20.06) = 0.2514
* The probability is 0.252
