Answer:
x=-15
Step-by-step explanation:
after we reduce multiply we get -15
60x55= 3300 there are 60 seconds in a minute and there are 55 minutes so you simply multiply the seconds by the minutes
Convert from Oz and Lbs.
1 Pound = 453.59237 Grams
1 Ounce = 28.3495231 Grams
3628.73896 for Lbs
141.7476155 for Oz
Add them, and you get:
3770.4865755
I didn't know if you needed rounding - it was classified as college.
Hope this helped, and have a good day!
Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Let x be the number of weeks; therefore, the two linear equations are

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then

Thus, substitute the value of x=3 into the first equation,

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.