Answer:
x = y^2 – 7
Step-by-step explanation:
The first step in finding the inverse of y = f(x) can be to write the equation x = f(y). The equation shown above is such an equation.
Answer:
Step-by-step explanation:
We want to determine a 90% confidence interval for the true population mean textbook weight.
Number of sample, n = 22
Mean, u = 64 ounces
Standard deviation, s = 5.1 ounces
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
64 ± 1.645 × 5.1/√22
= 64 ± 1.645 × 1.087
= 64 ± 1.788
The lower end of the confidence interval is 64 - 1.788 = 62.21 ounces
The upper end of the confidence interval is 64 + 1.788 = 65.79 ounces
Therefore, with 90% confidence interval, the true population mean textbook weight is between 62.21 ounces and 65.79 ounces
Answer:
angle 5 = 17 degrees
angle 6 = 129 degrees
Step-by-step explanation:
Start by finding angle 5 by doing 90+39+x+34=180
You get 17 degrees for angle 5
Then, find angle 6 by doing 17+34+x=180, which is 129 degrees.
Answer:
86
Step-by-step explanation:
t = ten's digit u= one's digit
t + u = 14 t = 2u - 4
In the first equation substitute for t 2u - 4 that we find in the second equation above.
t + u = 14
2u - 4 + u = 14 Combine the u's
3u - 4 = 14 Now add 14 to both sides
3u = 18 Divide both sides by 3
u = 6. We found the unit's digit, now we will find the ten's unit by plugging in 6 for u in the first equation above.
t + u = 14
t + 6 = 14 Subtract 6 from both sides
t = 8
So, your answer is 86.
Emma’s average speed in kph should be 54 kilometers per hour. I got this by putting 1 hour and 20 minutes into just minutes. which would be 80 minutes then dividing 72km by 80 minutes. Which gave me 0.9. Then multiplying 0.9 by 60 because there are 60 minutes in an hour. Which gave me 54 kph. hope I helped.