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AlekseyPX
3 years ago
8

Ab over 2 equal 2a minus 1,express a in terms of b

Mathematics
1 answer:
sasho [114]3 years ago
6 0

\frac{ab}{2} = 2a - 1

2(\frac{ab}{2}) = 2(2a - 1) <em>multiplied both sides by 2 </em>

ab = 4a - 2 <em>distributed the 2 on the right side</em>

ab - 4a = -2 <em>subtracted 4a from both sides</em>

a(b - 4) = -2 factored out "a" from the left side

a = \frac{-2}{b - 4} <em>divided (b - 4) on both sides</em>

Answer: a = \frac{-2}{b - 4}

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Solve the inequality, -3 &lt; n -8
vesna_86 [32]
Add 8 on both sides in order to isolate n:

-3 + 8 < n - 8 + 8 

5 < n
8 0
3 years ago
Which of the following is equal to 393,500? 0.3935 × 10 -6 39.35 × 10 -4 3.935 × 10 -5 3.935 × 10 5
SCORPION-xisa [38]

Answer:

No answer is equal to 393,500

Step-by-step explanation:

You can try to solve each question.

0.3935 × 10 -6 = -2.065

39.35 × 10 -4 = 389.5

3.935 × 10 -5 = 34.35

3.935 × 10 +5 = 44.35

None of these equal to 393,500

(Maybe I am getting things wrong I am not in a smart mood today)

4 0
3 years ago
Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.)State the random variab
WITCHER [35]

Answer:

a) X=number of heads observed when flipped the coin 3 times

b) the probability distribution is

P(X=x) = 3/4 * (1/[(3-x)!*x!)])

or

P(X)=1/8 for x=0 and x=3 and P(X)=3/8 for x=1 and x=2

Step-by-step explanation:

the random variable will be X=number of heads observed when flipped the coin 3 times . Since the result from each flip is independent of the others , then X has a binomial probability distribution , such that

P(X=x)= n!/[(n-x)!*x!)*p^x * (1-p)^(n-x)

where

n= number of times the coin is flipped = 3

p= probability of getting heads in a flip of the coin = 1/2 (assuming that the coin is fair)

therefore

P(X=x)= 3!/[(3-x)!*x!)*(1/2)^(3-x) * (1/2)^x = 3!/[(3-x)!*x!) * (1/2)³ = 3/4 * (1/[(3-x)!*x!)])

P(X=x)= 3/4 * (1/[(3-x)!*x!)])   , for x=[0,1,2,3]

for x=0 and x=3 → P(X)=3/4 * (1/[3!*0!)]) = 1/8

for x=1 and x=2 → P(X)=3/4 * (1/[2!*1!)]) = 3/8

we can verify that is correct since the sum of all the probabilities from x=0 to x=3 is  1/8 +  3/8+ 3/8+ 1/8 = 1

8 0
3 years ago
Read 2 more answers
(5 hundreds 5 tens)×10 in unit form what's the unit form?
Neko [114]
The unit form for that is
5,500
5 0
3 years ago
Which pair of ratios form a proportion?
leva [86]

Answer:

D: 5 : 8 and 20 : 32

Step-by-step explanation:

A is incorrect because 3 x 1.33 = 4 and 4 x 1.25 = 5.

B is incorrect because 10 x 1.6 = 16 and 12 x 1.5 = 18.

C is incorrect because 7 x 1.428 = 10 and 10 x 1.4 = 14.

D is correct because 5 x 4 = 20 and 8 x 4 = 32.

another way of solving the ratio answers is by putting them in a fraction 5/8 = .625 and also does 20/32 = .625.....

Easy right!?

Hope I Helped!

Please Mark me Brainliest!!!

4 0
3 years ago
Read 2 more answers
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