Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
Given that μ = $72,641 and σ = $30,000.
a) x > $100000
P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000
P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000
P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
Answer:
B. 12n + 2(25) ≤ 100
Step-by-step explanation:
The inequality you are asked for is intended to express ...
shirt cost + pant cost (is less than or equal to) Sandy's budget
The cost of n shirts at $12 each will be 12n. The cost of 2 pants at $25 each is 2(25). Then the inequality is ...
12n + 2(25) ≤ 100 . . . . . matches choice B
The answer is c). (x-5)(x-7)
Answer:
![xy^\frac{2}{9} = x*\sqrt[9]{y^2}](https://tex.z-dn.net/?f=xy%5E%5Cfrac%7B2%7D%7B9%7D%20%3D%20x%2A%5Csqrt%5B9%5D%7By%5E2%7D)
Step-by-step explanation:
Given
Required
The equivalent expression (see attachment)
We have:
Split
Apply the following laws of indices
![y^\frac{m}{n} = \sqrt[n]{y^m}](https://tex.z-dn.net/?f=y%5E%5Cfrac%7Bm%7D%7Bn%7D%20%3D%20%5Csqrt%5Bn%5D%7By%5Em%7D)
So, we have:
<em>Hence (d) is correct</em>
Answer:
? = 105
Step-by-step explanation:
Use similar triangles and law of proportions.
?/56 = 120/64
?/56 = 15/8
8 * ? = 56 * 15
? = 7 * 15
? = 105
