Answer:
x - 6
—————
x + 5
Step-by-step explanation:
Answer:
The Answer is C. false; m =-2 or m=2
Step-by-step explanation:
This is because:
2*2=4 being 4+6=10 Making 2 true, but
-2*-2= 4 as well making it 4+6=10, Making -2 true as well.
Answer:
23, 25, 27
Step-by-step explanation:
It can be convenient to work "consecutive integer" problems by using a variable to represent the middle one.
__
<h3>setup</h3>
Let x represent the middle integer. Then (x-2) is the first of the three odd integers, and (x+2) is the third. The given relation is ...
2(x -2) +3x = 67 +2(x +2)
<h3>solution</h3>
5x -4 = 2x +71 . . . . . simplify
3x = 75 . . . . . . . . add 4-2x
x = 25 . . . . . . . divide by 3
The three integers are 23, 25, 27.
Answer:
16.7% of GMAT scores are 647 or higher
Step-by-step explanation:
The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.
In this problem, we have that the mean
is 547 and that the standard deviation
is 100.
a. What percentage of GMAT scores are 647 or higher?
647 is 1 standard deviation above the mean.
So, 50% of the values are below the mean. Those scores are lower than 647.
Also, there is the 34% of the values that are above the mean and are lower than 647.
So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.
The sum of the probabilities must be 100
So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.
Answer:
41.8°
Step-by-step explanation:
Resolvemos esta pregunta usando la regla del seno
a / sin A = b / sin B
Estamos despejando el ángulo B
Por lo tanto:
3 / sin 30 = 4 / sin B
Cruz multiplicar
3 × sin B = sin 30 × 4
sin B = sin 30 × 4/3
B = arco sin [sin 30 × 4/3]
B = 41.81031 °
Aproximadamente = 41.8 °