Hello!
You can put 3 in for x and see which on is true
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Inequality A
6(3) + 18 < 30
Multiply
18 + 18 < 30
Add
36 < 30
This is not true so this is not the answer
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Inequality B
8(3) - 4 < 10
Multiply
24 - 4 < 10
Subtract
20 < 10
This is not true so this is not the answer
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Inequality C
10(3) + 10 < 37
Multiply
30 + 10 < 37
Add
40 < 37
This is not true so this is not the answer
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Inequality D
15(3) - 10 < 40
Multiply
45 - 10 < 40
Subtract
35 < 40
This is true so this is the answer
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The answer is D) 15x - 10 < 40
Hope this helps!
Answer:
Length of string used by Claire = 7 / 3 feet
Step-by-step explanation:
Given:
Length of string Claire in starts = 
feet
Length of string Claire in end = 
feet
Find:
Length of string used by Claire
Computation:
Length of string Claire in starts = feet = 25 / 6 feet
Length of string Claire in end = feet = 11 / 6 feet
Length of string used by Claire = Length of string Claire in starts - Length of string Claire in end
Length of string used by Claire = [25 / 6] - [11 / 6]
BY taking LCM
Length of string used by Claire = [25 - 11] / 6
Length of string used by Claire = 14 / 6
Length of string used by Claire = 7 / 3 feet
C is the correct answer. Appreciate it if you gave me brainliest!
Answer:
Step-by-step explanation:
Given that X has the following pdf.
x -1 0 2 6 7 Total
P(X) 0.3 0.1 0.3 0.2 0.1 1
xP(X) -0.3 0 0.6 1.2 0.7 2.2
x^2P(X) 0.3 0 1.2 7.2 4.9 13.6
Var(x) 13.6-2.2^2 8.76
Std dev 2.959729717
5) 
6. Find the cumulative distribution function F(x) and calculate F(3.2) =
x -1 0 2 6 7
P(X) 0.3 0.1 0.3 0.2 0.1
F(x) 0.3 0.4 0.7 0.9 1
F(3.2) = P(X<3.2) = ___F(X<6) = 0.7__________
7. E(X) = ______2.2_____
8. Var(X) = ____8.76______
Answer:
42 Dimes, 10 Nickels.
Step-by-step explanation:
Dimes are worth $0.10, nickels are worth $0.05.
If D = number of dimes, and N = number of nickels, then the following equations are true:
0.10D + 0.05N = 4.70
D + N = 52
Next, let's multiply the first equation by 10 so that we can subtract the second one from it.
D + 0.50N = 47
(-) D + N = 52
Subtracting the second equation from the first one gives:
-0.5N = -5
-0.5N/-0.5 = -5/-0.5
N = 10
Finally, substitute N in the original second equation to find D.
D + 10 = 52
D + 10 - 10 = 52 - 10
D = 42
