Answer:
Step-by-step explanation:
Speed - s, Distance - d, Time - t
Equation of time is:
Given,
Total time is the sum of time values to and from the town:
It is given that,
→ s1= 32 miles/h
→ s2 = 38 miles/h
Now t1 + t2 is,
→ 42 min
→ 42/60 hours
→ 7/10 hours
The formula we use,
→ Time = Distance/Speed
→ t = d/s
Then the total time is the,
Sum of time values to and from the town.
→ d/32 + d/38 = 7/10
→ d/16 + d/19 = 7/5
→ d{(1/16) + (1/19)} = 7/5
→ d(16 + 19) = (7/5) × (16 × 19)
→ 35d = 425.6
→ d = 425.6/35
→ d = 12.16
Hence, the distance is 12.16 miles.
Answer:- 8
Step-by-step explanation:
-4 + 4(3)/ -4+3
-4 +12 / -1
8/-1
Answer/Step-by-step explanation:
Given that a and b are two corresponding sides of two similar figures, it follows that the ratio of their areas = a²/b².
We would use the above knowledge to solve the questions given as follows:
✔️The first pair similar of shapes:
Missing area = x cm²
Therefore,
x/9 = 8²/4²
x/9 = 64/16
x/9 = 4
Cross multiply
x = 4 × 9
x = 36 cm²
✔️The second pair similar of shapes:
Missing area = x cm²
Therefore,
x/240 = 8²/32²
x/240 = 64/1,024
Cross multiply
x*1,024 = 64*240
x*1,024 = 15,360
Divide both sides by 1,024
x = 15,360/1,024
x = 15 cm²
✔️The third pair similar of shapes:
Missing area = x cm²
Therefore,
x/40 = 3²/2²
x/40 = 9/4
Cross multiply
x*4 = 9*40
x*4 = 360
Divide both sides by 4
x = 360/4
x = 90 cm²
A sample of 48 bottles is selected periodically, and the filling line is stopped if there is evidence that the mean amount dispensed is different from 8 ounces.
Suppose that the mean amount dispensed in a particular sample of 48 bottles is 7.983 ounces.
Calculate the P-Value.
Answer:
P-value = 0.4324
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 8 ounces
Sample mean, = 7.983 ounces
Sample size, n = 48
Population standard deviation, σ = 0.15 ounces
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value with the help of standard normal z table.
P-value = 0.4324
Answer:
I don’t think it’s neither less than it equal
Step-by-step explanation:
I could be wrong don’t listen to me :)