Answer:
0.2005
Step-by-step explanation:
Mean, m = 65000
Standard deviation, σ= 7000
Sample size, n = 25
Let X = random variable of salary
Recall:
Z = (μ - x) /(σ/√n)
P(62500 ≤ x ≤ 64000) =?
Pr((65000 - 62500)/7000/√25 ≤ z ≤ (65000 - 64000) / 7000/√25)
P(2500 / 1400 ≤ z ≤ 1000/1400)
P = (1.79 ≤ z ≤ 0.714)
Using the normal distribution table or a Z probability calculator
0.4633 - 0.2624
= 0.2009
<span> f(x) = –81 (4/3) X-1 f(x) = –81 (-3/4) </span>
Answer:
B. Leg-Acute (LA)
E. Angle-Angle-Side (AAS)
Step-by-step explanation:
Congruence is the relationship between two or more shapes with respect to their common properties.
Comparing the properties of triangles LMN and OPQ, it would be observed that two angles are similar and one side.
So that the congruence theorems or postulates required are:
B. Leg-Acute (LA)
E. Angle-Angle-Side (AAS)
Answer:
Given 7b²-21b-273=7, the solutions are x1 = 8 and x2 = -5.
Step-by-step explanation:
Given 7b²-21b-273=7, first you need to equal zero. So
7b²-21b-273-7=0 ⇒ 7b²-21b-280 = 0
The secon step is to find the solutions applying Bhaskara´s formula x = (-b ± √(b²-4×a×c))/2×a
Where a=7, b= -21 and c= -280
After you identified each term, you have to replace it on the formula so....
x = (21 ± √(21² - 4×7×(-280)))/2×7 ⇒ x = (21 ± √(441 + 7840))/14 ⇒ x = (21 ± √8281)/14
Then you will obtain two values for x, called x1 = 8 and x2=-5.
Answer:
The number line is a graph of real numbers.
Step-by-step explanation:
Hope this helps!