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AlekseyPX
3 years ago
8

rac{2}{3} + 5x = 7 - 2x" alt="4 \frac{2}{3} + 5x = 7 - 2x" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
liq [111]3 years ago
8 0
Convert the mixed number to a improper fraction 5x+2x=7-14/3, collect like terms 7x=7-14/3=7x=7/3, decide seven on both sides x= 1/3
Delicious77 [7]3 years ago
5 0

4 2/3+5x=7-2x

Add 2x to both sides.

4 2/3+7x=7

Subtract 4 2/3 on both sides.

7x=2 1/3

7x=7/3

Divide by 7 on both sides.

x=1/3

answer: x=1/3

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if the probability that the islanders will beat the rangers in a game is 0.44,what is the probability that the islanders will wi
Rama09 [41]

Answer:

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.

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.

The probability that the islanders will beat the rangers in a game is 0.44

This means that p = 0.44

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? ​

This is P(X = 1) when n = 4. Then

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

P(X = 1) = C_{4,1}.(0.44)^{1}.(0.56)^{3} = 0.3091

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

6 0
3 years ago
Subtract.
3241004551 [841]

Answer:

405

Step-by-step explanation:

5 0
2 years ago
jack wants to buy a pair of trousers for $60 when he went to the store he found that the price was marked down by 20% how much d
Leno4ka [110]

they would cost 48 dollars


8 0
3 years ago
Read 2 more answers
I need help with 9-81 ASAP PLS THIS IS MY HW
Yuri [45]
It is -72 lol. that's pretty basic you know
4 0
3 years ago
Read 2 more answers
The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal fro
Neporo4naja [7]

Answer:

7.8 in

Step-by-step explanation:

Given:-

- The dimension of rectangular prism:

                                   (3 x 4 x 6) inches

Find:-

What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

Solution:-

- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).

- Then we will use the distance between two points formula in cartesian coordinate system:

                    Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).

- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:

                   |RS| = \sqrt{(0 - 3)^2 + (0 - 4)^2 + (0 - 6)^2}\\\\|RS| = \sqrt{ 9 + 16 + 36}\\\\|RS| = \sqrt{61} = 7.81024

- The distance |RS| to nearest 10th of an inch is = 7.8 in  

4 0
3 years ago
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