Answer:
c=2
Step-by-step explanation:
(ax+2)(x+b) = ax^2+2x+abx+2b = ax^2+(2+ab)x+2b
Given, ax^2+(2+ab)x+2b = 3x^2+5x+c
a=3
2+ab=5 => 2+3b=5 => 3b=5-2=3 => b=1
2b=c => c=2*1 = 2
So, c=2
Answer:
0.79 ; 0.753
Step-by-step explanation:
Given that:
Students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400 :
≥ 5 hours review = 0.85
Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400
< 5 hours = 0.65
70% (0.7) of business students spend atleast 5 hours review time
A.) probability of scoring above 400
(Proportion who spend atleast 5 hours review time * 0.85) + (Proportion who do not spend atleast 5 hours * 0.65)
Proportion who do not spend atleast 5 hours = (1 - proportion who spend atleast 5 hours) = 1 - 0.7 = 0.3
Hence,
P(scoring above 400) = (0.7 * 0.85) + (0.3 * 0.65) = 0.595 + 0.195
= 0.79
B.) probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.
P(spent ≥5 hours review | score above 400) :
P(spent ≥5 hours review) / P(score > 400)
(0.7 * 0.85) / 0.79
0.595 / 0.79
= 0.753
Answer:
y = 4x + 1
Step-by-step explanation:
Given the equation y = 4x - 2, we need to find the equation parallel to this line. Note that for two equations to be parallel to each other, the must have the same slope
Standard form of an equation is y = mx + b
Compare;
mx = 4x
m = 4
Since the slope of the given equation is 4, the required equation must also have a slope of 4
Since we are not given an option, we can assume any equation with a slope of 4
y = 4x + 1 will be parallel to the given equation since they both have the same slope
<em>Note that the equation can be different so far they have the slope of 4</em>
Answer:
The Fullers can reach the national park
Step-by-step explanation:
<u><em>The complete question is</em></u>
The Fuller family wants to drive to a national park. Some information about their trip is given in the table below.
Distance to national park 515 miles
Car’s gas tank capacity 20 gallons
Average gas mileage for car 26 miles per gallon
The family wants to determine if they can drive to the national park using just one tank of gas in their car. Determine whether the Fullers can reach the national park. Show your work or explain your answer.
we know that
The Average gas mileage for the car is 26 miles per gallon
That means
With 1 gallon the car runs 26 miles
so
using a proportion
Find out how many miles the car runs with 20 gallons (one tank of gas)
Compare with the distance to the national park
therefore
The Fullers can reach the national park
The answer should have been 8.6 that was wrong but it is okay you were close
