the amount of water in a bathtube as it drains can be modeled by this equation with y representing the number of gallons of wate
r in the tub and x representing the time, in minutes, that the tube has been draining y=-7.3x+39.7 after how many minutes will the tub have 17.8 gallons of water remaining
1 answer:
Since 
is representing the number of gallons of water in the tub, we need to replace with the number of gallons remaining in the tube to find the time. Fortunately, the problem is telling us just that: 17.8 gallons. The only thing left is replacing that value in the equation, and solve for 
to find the time:
We can conclude that after 3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>
We can conclude that after 3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>
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Answer:
Step-by-step explanation:
Hello!
The research team created a cracker with fewer calories. The average content of calories of the new crackers per serving of 6 should be less than 60.
To test it a random sample of 26 samples of the new cracker was taken and the calories per serving were measured.
Then the study variable is
X: calories of a 6 serve sample of the new reduced-calorie version. (cal)
The variable has a normal distribution with a population standard deviation of 0.82 cal.
To test the claim that the new crackers have on average less than 60 calories, the parameter of interest is the population mean (μ) and the hypotheses are:
H₀: μ ≥ 60
H₁: μ < 60
α: 0.01
Since the variable has a normal distribution and the population variance is known, the best statistic to use to conduct the test is a Standard Normal
This test is one tailed to the left, wich means that the null hypothesis will be rejected at low levels of the statistic.
If Z ≤ -2.334, the decision is to reject the null hypothesis.
If Z > -2.334, the decision is to not reject the null hypothesis.
Using the data of the sample I've calculated the sample mean.
X[bar]= ∑X/n= 1548.61/26= 59.56 cal
The observed Z value is less than the critical value, so the decision is to reject the null hypothesis.
At a level of significance of 1%, you can conclude that the population mean of calories of the samples of new crackers is less than 60 cal.
I hope it helps!
Answer:
7 ; 6
Step-by-step explanation:
