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
Answer:
Lee has 19 nickels and 8 dimes
Step-by-step explanation:
hello, I think I can help you with this
Step 1
Let
value of a nickel=$0.05
value of a dime=$0.10
number of nickels=N
number of nickels=D
According to the question data Lee has $1.75 in dimes and nickels.
0.05N+0.1D=1.75,equation(1)
also, the number of nickels is 11 more than the number of dimes.mathematical speaking
N=11+D,equation(2)
Step 2
replace N from equation (2) into equation (1)
0.05N+0.1D=1.75
0.05(11+D)+0.1D=1.75
Now, solve for D
0.55+0.05D+0.1D=1.75
0.15D=1.75-0.55
D=1.2/0.15
D=8
Step 3
replace the value of D into equation(2) to obtain N
N=11+8
N=11+8
N=19
Hence, Lee has 19 nickels and 8 dimes
Have a great day.
First, construct two equations.
Then, equal the two equations to each other like this -
x will be the years.
Type A. Type B
3x + 15 = 4x + 10
- 15. - 15
3x = 4x - 5
-4x. -4x
-x = -5
-x/-1 = -5/-1
x = 5
Check:
3(5) + 15 = 4(5) + 10
15 + 15 = 20 + 10
30 = 30
Therefore, the trees will be the same height in 5 years.
Answer:
rational
Step-by-step explanation:
it can be written as a ratio like 42260/1
brainliest?? please