Answer:
m = 7.5
Step-by-step explanation:
4m/5 - 2m/3 =1
We want to get rid of the fractions so multiply each side by 5*3 or 15
15 *(4m/5 - 2m/3 ) =1*15
15 *(4m/5) -15( 2m/3 ) =1*15
Canceling like factors
3* 4m -5*2m = 15
Multiply
12m - 10m = 15
2m = 15
Divide each side by 2
2m/2 = 15/2
m = 7.5
The rate at which the sound travels in km/hr is 0.142km/hr
<h3>Conversion of m/s to km/hr</h3>
If a sound wave travels with a speed of 5120m/s, in order to convert to km/he, we will use the conversion factor below;
1hr = 3600secs
1km = 1000m
Using the conversion factor in our dimensional analysis
5120m/s = 5120m/1s * 1km/1000m * 3600s/1hr
5120m/s = 5120m/3600000
5120m/s = 0.142km/hr
Hence the rate at which the sound travels in km/hr is 0.142km/hr
learn more on dimensional analysis here: brainly.com/question/21510595
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Answer:
H0: p = 0.078
Ha: p ≠ 0.078
Step-by-step explanation:
The researchers say that the rate is about 7.8%, or 0.078 as a decimal. That makes that the null hypothesis because using "is" in math is the same as saying "equals" and the null hypothesis always has the statement of equality in it. The reason there is a not equals to sign in the alternate is for this reason as well. The researchers say it is about that amount, not more or less than that amount. So it makes this a 2 tailed test. If the amount is significantly higher or lower, then we might have to reject the null hypothesis depending on the outcome of the test.
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