Hey there!
For Part A, because the amount earned on Sunday isn't specified, we can call this additional income x. Because we're writing an expression, we don't need an equal sign. The expression will be (x + 14).
For Part B, "2 less than" will mean "– 2" and "twice than" will mean the amount of dogs that Alicia walked times 2. We can call the amount that Alicia walked y to avoid confusion with the last expression (though you could use whatever variable here) and your expression will be (2y – 2).
Hope this helped you out! :-)
Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:
![\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24](https://tex.z-dn.net/?f=%5Cmu%20%3D%20959%2C%20%5Csigma%20%3D%20263%2C%20n%20%3D%2037%2C%20s%20%3D%20%5Cfrac%7B263%7D%7B%5Csqrt%7B37%7D%7D%20%3D%2043.24)
Item a:
The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{984 - 959}{263}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B984%20-%20959%7D%7B263%7D)
Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
By the Central Limit Theorem:
![Z = \frac{X - \mu}{s}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7Bs%7D)
![Z = \frac{984 - 959}{43.24}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B984%20-%20959%7D%7B43.24%7D)
Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at brainly.com/question/4079902
#SPJ1
Answer:
![14x + 6y = 10 \\ - 14x - 35y = 77](https://tex.z-dn.net/?f=14x%20%2B%206y%20%3D%2010%20%5C%5C%20%20-%2014x%20-%2035y%20%3D%2077)
multiply all terms in the top equation by 2
multiply all terms in the second equation by -7. it would then add the two equations together to cancel out the variable x
You will then have two equations in terms of y
solve for y and either equation then substitute that value for y into the other equation then solve for x
Answer:
-36
Step-by-step explanation:
le x be 2 then
f(x) = -2-2 =-4
g(x)= 2square +1-2 =3
to find:(f×g)(3)
(-4×3)(3)
=-36
7+49n-63 that is the answer to the question