Answer:
1/2
Step-by-step explanation:
The radius is 1/2 of the diameter
Answer:
x = 25% percent decrease
Step-by-step explanation:
For this problem we will use percentage calculation and make proportion:
Initial value 56 points is worth 100%
Second value 56 - 42 = 14 points of decrease is worth x%
56 : 14 = 100 : x
When we multiply external and internal members we get:
56 · x = 14 · 100 => x = 1400/56 = 25%
x = 25% percent decrease
God with you!!!
Answer:
The answer is below
Step-by-step explanation:
A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs at a constant speed of 5.4miles per hour for m minutes, and then at b miles per hour for n minutes
Solution:
Given that the student runs for a total of 30 minutes per day. He runs at 5.4 miles per hour for m minutes, and then at b miles per hour for n minutes.
Hence:
m + n = 30
60 minute = 1 hour. Therefore, m minute = m/60 hour, n minute = n/60 hour.
The distance traveled is the product the speed in miles per hour and the time taken to cover the distance. Distance = speed * time
The total distance ran (D) is:
D = 5.4(m/60) + b(n/60)
So basically 42=x times 64 or 42=64x where you want x to be represented as a fraction so just don't simplify as much
42=64x
divide both sdies by 64
42/64=64/64x
42/64=1x
x=42/64
simplify
42/64=21/32
the answer is 21/32 in simplest form
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 25
The sample mean is 
The standard deviation is 
Let assume the level of significance of this test is 
The null hypothesis is 
The alternative hypothesis is 
Generally the degree of freedom is mathematically represented as
=> 
=> 
Generally the test statistics is mathematically represented as
=> 
=> 
Generally from the student t distribution table the probability of obtaining to the right of the curve at a degree of freedom of is
From the value obtained we see that 
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
