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vazorg [7]
3 years ago
6

5^-2x times 5^x+2 = 5^-2x

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0
5^{-2x}\cdot5^{x+2}=5^{-2x}\\
5^{x+2}=1\\
x+2=0\\
x=-2

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PLEASE HELP!!
aev [14]

Answer:

D. No, because P(A|B)=0.22 and the P(A) = 0.53 are not equal.

Step-by-step explanation:

Given:

Probability of doing yard work is, P(A)=53\%=0.53

Probability of raining, P(B)=68\%=0.68

Probability of doing yard work and it raining is, P(A\cap B)=15\%=0.15

Now, two events A and B are independent if,

P(A|B)=P(A);P(B|A)=P(B)

Conditional probability of event A given that B has occurred is given as:

P(A|B)=\frac{P(A\cap B}{P(B)}\\P(A|B)=\frac{0.15}{0.68}=0.22

So, P(A|B)=0.22\ and\ P(A)=0.53

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3 years ago
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krek1111 [17]
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8 0
1 year ago
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7.63 repeating as a fraction
Katyanochek1 [597]

Answer:

763/100 is the answer to this

3 0
2 years ago
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Bess [88]

Answer:

4c+6a\leq120\\\\4c+4a\leq100

Step-by-step explanation:

Let c represents child bikes and a represents adult bikes.

Given :  Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.

With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

Then, the required system of inequality :-

4c+6a\leq120----(1)\\\\4c+4a\leq100-----(2)

If company make 10 child bikes and 12 adult bikes in the week.

Then Put c=10 and a=12 bikes in (1) and (2).

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Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

4c+6a\leq120\\\\4c+4a\leq100

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3 years ago
Find the length of each arc. Use the exact answer
Cerrena [4.2K]

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

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Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

So, the arc length is 16π/3 ft

3 0
2 years ago
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