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3 years ago

Solve for 7 + y = -2 -3x

Mathematics

2 answers:

MrRa [10]3 years ago

8 0

For x:

$-2-3x=7+y$ add 2 to both sides

$-3x=9+y$ divide both sides by (-3)

$\boxed{x=-3-\dfrac{1}{3}y}$

For y:

$7+y=-2-3x$ subtract 7 from both sides

$\boxed{y=-9-3x}$

sukhopar [10]3 years ago

7 0

Answer:

y = -3x-9

Step-by-step explanation:

To solve for y, we need to subtract 7 from each side

7-7 + y = -2-7 -3x

y = -3x-9

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20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

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:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

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

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

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

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

Suppose that 10 < n < 11. A possible value for n is

-BARSIC- [3]

★ Inequalities ★

$10 < n < 11 \\$
or n ∈ ( 10 , 11 )
Possible value can be easily obtained by generating an arithmetic mean

$n = \frac{10 + 11}{2} = 10.5$
Else we've infinite numbers between them ,
According to density property of real numbers , we can have any real number satisfying the given inequality under condition 10 < n < 11
Which is true for infinite possible numbers
10.1 , 10.2 , ... INFINITY

8 0

3 years ago

What is 6/15-9/15 i need help plz

Xelga [282]

Answer:

-3/15 is the difference between 6/15-9/15

3 0

3 years ago

Simplify. (8^3)^7 = 8^n n=?

DiKsa [7]

Hello User,

Answer: n = 488