Let p = number of pennies.
Let n = number of nickels.
We are given that n= 2p and the total value is $8.80.
We know that a penny = $0.01 and that a nickel = $0.05.
So $0.01p + $0.05n = $8.80.
Substitute 2p for n:
$0.01p + $0.05*2p = $8.80
$0.01p + $0.10p = $8.80
$0.11p = $8.80
p = 80
So n = 2p = 2*80 = 160
Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.
Answer:
Yes, 15 people would be unusual as it falls outside of 2 standard deviation of mean.
Step-by-step explanation:
Consider the provided information.
The mean number (per group) who recognize the Yummy brand name is 12.5, and the standard deviation is 0.58.
Mean = μ= 12.5
σ = 0.58
n = 15
![\mu\pm2\sigma=12.5\pm 2(0.58)\\\mu\pm2\sigma=12.5\pm1.16\\\mu\pm2\sigma=[11.34, 13.66]](https://tex.z-dn.net/?f=%5Cmu%5Cpm2%5Csigma%3D12.5%5Cpm%202%280.58%29%5C%5C%5Cmu%5Cpm2%5Csigma%3D12.5%5Cpm1.16%5C%5C%5Cmu%5Cpm2%5Csigma%3D%5B11.34%2C%2013.66%5D)
Yes, 15 people would be unusual as it falls outside of 2 standard deviation of mean.
Answer:
25 posts
Step-by-step explanation:
So the number of fence post would be the total length of the log divided by the length of each post. As the log is 16m and is corrected to the nearest metre, it could possibly be 16.499m. As for the post that is 70 cm long and corrected to the nearest 10cm, it may as well be 65 cm (or 0.65m) each post
So the max number of fence point once can possibly cut from the log would be
16.499 / 0.65 = 25 posts
The y-intercept of the graph of a function is the value of f(0) for any function f.
That is, it is the y-value in the pair (0, y)
The y-intercept of <span>f(x) = 4x + 5 is f(0)=4*0+5=5
The y-intercept of (0, 2) is 2.
The y-intercept of </span>h(x) = 3 sin(2x + π) − 2 is:
h(0) = 3 sin(2*0 + π) − 2=3 sin(π) − 2=3*0-2=-2
<span>Answer: The function f has the greatest y-intercept.
</span>
Answer: B. Blind experiment
Step-by-step explanation: While conducting an experiment, experimenters may aim to eliminate factors which are very likely to cause bias and hence affect the veracity of the study. In the scenario above, the participants of the study (coworkers) were only provided with samples of the two coffee types without any of them knowing if it was the coffee they drank now or the new coffee brand. Hence, withholding such information from the participant is a technique in experimenting called blinding. Because, the information could affect the outcome and hence objective of the study as the participants were already partial towards the present coffee being consumed.
