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The average speed for the journey from Llanfyllin to Bala is 14 km/h
Average speed is the ratio of total distance travelled to total time taken. Also, average speed can be given as the average of the different speeds.
Let d₁ represent the distance from Llanfyllin to Vyrnwy and t represent the time taken, since the speed is 12 km/h, hence:
12 = d₁/t
d₁ = 12t
Let d₂ represent the distance from Vyrnwy to bala and t represent the time taken. Since they spent the same time, since the speed is 16 km/h, hence:
16 = d₂/t
d₂ = 16t
Average speed = total distance/total time
Average speed = (d₁ + d₂) / (t + t)
Average speed = (12t + 16t) / 2t
Average speed = 28t / 2t
Average speed = 14 km/h
Hence their average speed for the journey from Llanfyllin to Bala is 14 km/h.
Find out more at: brainly.com/question/23774048
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
there are 161 calories in 28 gram,then:
one gram of dry roasted cashews contains=161/28=5.75 calories
You eat 12 gram of it, =12*5.75=69 calories
9 cashews has 12gram, then:
one gram of dry roasted cashews contains= 9/12 = 0.75 cashews
there are total of 28gram in one serving.
Therefore cashews in one serving = 0.75*28=21cashews
a)69 calories
b)21cashews
Try this option (see the attachment), if it is possible check result in other sources.
