How to find the value of x

12 < k + 11 The solution of the inequality is (pls answer fast)

Free_Kalibri [48]

Answer:

Solve for K by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

k > 1

Interval Notation:

(1, ∞)

Step-by-step explanation:

4 0

3 years ago

Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used 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.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

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

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0

2 years ago

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

vova2212 [387]

add all the angles and make them equal to 360

88 + 108 + (3x-6) + 2x = 360

196 + 5x -6 = 360

190 + 5x = 360

5x = 170

x = 34 = answer

4 0

2 years ago

A. Identify all pair of parallel in the diagram.

12345 [234]

Answer:

Parallel: G and F

perpendicular: G & H, F & H

Step-by-step explanation:

G and F are parallel because they will never cross, where as both are perpendicular to H because they intersect at 90°

4 0

3 years ago

10 + 2n = 8n - 2n + 10

galina1969 [7]

Answer:

n=0

Step-by-step explanation:

Rearrange

10+2=8−2+10

2+10=8−2+10

Combine like terms

2n+10=8n−2n+10

2+10=6+10

Subtract from both sides

2+10=6+10

2+10−10=6+10−10

Simplify

2n=6n

Subtract both sides from 6n of the equation

2=6

2−6=6−6

Solution

n=0

5 0

2 years ago