Answer:
x = 3, x = 15, x = 12, x = 1
Hope this helps :)
Step-by-step explanation:
1.) 4x - 1 = 2x + 5
+1 +1
4x = 2x + 6
-2x -2x
2x = 6
x = 3
2.) 3x - 5 = 2x + 10
+5 +5
3x = 2x + 15
-2x -2x
x = 15
3.) 4x + 2 + 30 = 8 + 6x
4x + 32 = 8 + 6x
-8 -8
4x + 24 = 6x
-4x -4x
24 = 2x
x = 12
4.) 4( x - 1) + 5 = 2x + 3
4x -4 + 5 = 2x + 3
4x + 1 = 2x + 3
-1 -1
4x = 2x + 2
-2x -2x
2x = 2
x = 1
Basically, we are trying to find the third number in the pattern. The pattern is - -4, -2, -12, -14 and so on. We can see that the third number is -12, which is a₃. Therefore, the answer is C) -12. Hope this helped!
Answer:
Step-by-step explanation:
We would apply the formula for binomial distribution which is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 18% = 18/100 = 0.18
q = 1 - p = 1 - 0.18
q = 0.82
n = 5
Therefore,
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x = 0) = 5C0 × 0.18^0 × 0.82^(5 - 0)
P(x = 0) = 0.37
P(x = 1) = 5C1 × 0.18^1 × 0.82^(5 - 1)
P(x = 1) = 0.41
P(x = 2) = 5C2 × 0.18^2 × 0.82^(5 - 2)
P(x = 2) = 0.18
Therefore,
P(x ≤ 2) = 0.37 + 0.41 + 0.18 = 0.96
Answer:
Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.
Step-by-step explanation:
The formula calculate to find slope is: 
We are given points (3,-5) and (2,-2) so,
Putting values in formula and finding slope
So, Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.
Answer:
About 6 words per second
Step-by-step explanation:
You have to divide 373 words by 60 seconds giving you 6.21666667 which you then have to round down to 6 words per second.
