Step-by-step explanation:
65 km / h = 65,000 m / 3600 s
what do we need to multiply 3600 with to get 3 ?
3600 × f = 3
f = 3/3600 = 1/1200
now, we need to multiply 65,000 by the same factor to get how many meters the car is driving in these 3 seconds :
65000 × 1/1200 = 65000/1200 = 54.16666666...
so, rounded, it travels 54 meters in 3 seconds.
Answer:
The game’s expected value of points earned for a turn is 71.
Step-by-step explanation:
Here we know that:
Points Frequency
50 55
75 32
150 13
Here points earned is a random variable.
We need to find its expected value,
Finding Expected value:
Expected value of a random variable is its mean value. So we will first find the mean value of points earned per turn from the table we are given.
Total number of turns = sum of frequencies
= 55 + 32 + 14 = 100
Total points earned = 50(55) + 75(32) + 150(13)
= 7100
Expected value of points earned for a turn = Mean value of points
= Total points/no. of turns
= 7100/100
= 71
Answer:
f = 78 , g = 32 , h = 74
Step-by-step explanation:
f and 78° are alternate angles and are congruent , then
f = 78
---------------------------
h and 74° are alternate angles and are congruent , so
h = 74
--------------------------
the sum of the 3 angles in the triangle = 180°
sum the 3 angles and equate to 180
78 + g + h = 180
78 + g + 74 = 180
152 + g = 180 ( subtract 152 from both sides )
g = 28
(-4x2-5x-1)(4x2-6x-2)
Final result :
-2 • (13x + 1) • (2x2 - 3x - 1)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(-13x - 1) • ((22x2 - 6x) - 2)
Step 2 :
Pulling out like terms :
3.1 Pull out like factors :
-13x - 1 = -1 • (13x + 1)
Step 3 :
Pulling out like terms :
4.1 Pull out like factors :
(4x2 - 6x - 2) = 2 • (2x2 - 3x - 1)
Trying to factor by splitting the middle term
4.2 Factoring 2x2 - 3x - 1
The first term is, 2x2 its coefficient is 2 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 2 • -1 = -2
Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is -3 .
-2 + 1 = -1
-1 + 2 = 1
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Step 4 :
Pulling out like terms :
5.1 Pull out like factors :
-26x - 2 = -2 • (13x + 1)
Final result :
-2 • (13x + 1) • (2x2 - 3x - 1)