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Lana71 [14]
3 years ago
10

Using the digits 0-9, no more than one time each, place a digit in a box to create an equation with a solution x= -1/2

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0

Three equations are:

2x+1=6x+3

8x+6=2x+3

8x+4=2x+1

<u>Step-by-step explanation:</u>

Using the digits 0-9, no more than one time each, place a digit in a box to create an equation with a solution x= -1/2  . We need to  Create three equations. Formula is below.  __ x+ __=__ x+ __ .  Let's find out:

2x+1=6x+3

Let's verify this :

⇒ 2x+1=6x+3

⇒ 4x=-2

⇒ x=\frac{-1}{2}

8x+6=2x+3

Let's verify this :

⇒ 8x+6=2x+3

⇒ 6x=-3

⇒ x=\frac{-1}{2}

8x+4=2x+1

Let's verify this :

⇒ 8x+4=2x+1

⇒  6x=-3

⇒ x=\frac{-1}{2}

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
Verizon [17]

Answer:

P(X = 17) = 0.3002

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 18, p = 0.9

We want P(X = 17). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 17) = C_{18,17}.(0.9)^{17}.(0.1)^{1} = 0.3002

P(X = 17) = 0.3002

4 0
4 years ago
Read 2 more answers
a number cubes tolled 450 times. the number 3 comes up 67 times. what I's the theoretical probability of rolling a 3 ? WRITE YOU
zvonat [6]
Assuming number cube has 6 sides

probablity is (desiredoutcomes)/(total possible ouctomes)


since it is 450 times
total possible outcomes=450

experimiental probablity is the one actaully obtained by doing it
theoretical is the predicted amount

so theoretical probablity of rolling a 3 is 1 number out of 6 or 1/6 or 75 times out o 450 times

experimiental is the actaull one so67 out of 450 or 67/450

theoretical is 1/6 or 75/450
experimental is 67/450



4 0
4 years ago
In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14 students who
Veseljchak [2.6K]

Answer:

In a certain Algebra 2 class of 30 students, 22 of them play basketball and 18 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

I know how to calculate the probability of students play both basketball and baseball which is 1330 because 22+18+3=43 and 43−30 will give you the number of students plays both sports.

But how would you find the probability using the formula P(A∩B)=P(A)×p(B)?

Thank you for all of the help.

That formula only works if events A (play basketball) and B (play baseball) are independent, but they are not in this case, since out of the 18 players that play baseball, 13 play basketball, and hence P(A|B)=1318<2230=P(A) (in other words: one who plays basketball is less likely to play basketball as well in comparison to someone who does not play baseball, i.e. playing baseball and playing basketball are negatively (or inversely) correlated)

So: the two events are not independent, and so that formula doesn't work.

Fortunately, a formula that does work (always!) is:

P(A∪B)=P(A)+P(B)−P(A∩B)

Hence:

P(A∩B)=P(A)+P(B)−P(A∪B)=2230+1830−2730=1330

7 0
3 years ago
Which angle relationship alone could be used as a reason that two angles are congruent?
zimovet [89]

Supplementary angles

7 0
3 years ago
Solve for x in the equation V=4wh^2 +2wh
aliya0001 [1]

Answer:

that problem is imposable

Step-by-step explanation:

6 0
3 years ago
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