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makvit [3.9K]
3 years ago
11

What is the solution to the inequality

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

Answer:

x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}

The solution line graph is also attached.

Step-by-step explanation:

Given

The inequality is given by

x+3>7

To determine

What is the solution to the inequality?

Solving the given inequality

x+3>7

Subtract 3 from both sides

x+3-3>7-3

Simplify

x>4

Thus,

x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}

The solution line graph is also attached.

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If the probability that the Islanders will beat the Rangers in a game is 0.38, what is the probability that the Islanders will w
natali 33 [55]

Answer:

0.014

Step-by-step explanation:

The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).

This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.

P(X=x) = \frac{n!}{(n-x)!x!}*p^ x*(1-p)^{(n-x)}

Thus:

P(X=6) = 7*0.38^6*0.62\\P(X=6) =0.01307\\P(X=7) = 0.38^7\\P(X=7) =0.00114

The probability is:

P(X\geq 6) = 0.01307+0.00114\\P(X\geq 6) = 0.014

The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.

3 0
3 years ago
ANSWER ASAP
timofeeve [1]

Answer:

Its A

Step-by-step explanation:

3 0
3 years ago
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Stacy is walking his dog on a path and his dog wiggled out of his collar. If the dog is 30 feet lower than the owner and the ang
exis [7]
It would be best to draw the problem described above. Sketching it, you will see that a right triangle would be formed from the description where the vertical distance of the dog to its owner is the height of the triangle and the angle of elevation of the triangle would be 10 degrees. The hypotenuse of the triangle represents the distance of the dog from its owner. By using trigonometric functions, we can easily calculate for this value. We use the sine function which is equal to the opposite side divided by the hypotenuse.

sine 10 = 30 feet / hypotenuse
hypotenuse = 172.76 feet ( distance of the dog to its owner )
6 0
4 years ago
I need help on problem number 9 plzzz!!
Leno4ka [110]
The answer is A.

Good luck :)
4 0
4 years ago
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Please help! I have no idea how to solve this question. Thank you!
Hatshy [7]
If u plot ur points, u will find that they match A
(-3,5), (-1.5,3.5), (0,-2), (1.5,3.5), (3,5)
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4 years ago
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