Write the equation of a line (y=mx+b) that passes through the points:<br><br> (2. 6) and (4. 14)

How do you identify a quadratic trinomial?

velikii [3]

Google it. ('>')...................................................

5 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

3 years ago

Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that apply.

nika2105 [10]

Quadratic equation which has no solution gives zero for the value of d.
d = b² - 4ac
0 = 3² +- 4(-1)c
-9 = +_ 4c
c = -9/-4 pr 9/-4
c = 9/4 or -9/4

In short, Your Answers would be Option C & E

Hope this helps!

7 0

3 years ago

Read 2 more answers

Frank and his mom are planting vegetables in their garden. Frank has finished planting 8 rows of carrots so far and is planting

Yuliya22 [10]

Answer:

It will take 3 hours. They will both have completed 11 rows.

Step-by-step explanation:

1 row of carrots per hour = frank

3 rows of tomatoes per hour = frank's mom

right now, this is how many they have completed

frank - 8 rows

mom - 2 rows

1st hour

f - 9

m - 5

2nd hour

f - 10

m - 8

3rd hour

f - 11

m - 11

8 0

2 years ago

What is the value of k if the line 5x+ky=12 passes through the point (2,-1).

olchik [2.2K]

Answer:

k = -2

Step-by-step explanation:

1. Substitute the point (2,-1) into the given equation 5x+ky=12. The first number is 2, the x-value. The second number is -1, the y-value.

5x + ky = 12

5(2) + k(-1) = 12

2. Simplify

5(2) + k(-1) = 12

10 + (-k) = 12

10 - k = 12

2. Isolate k

10 - k = 12

-k = 12-10

-k = 2 <= here multiply both sides by (-1)

k = -2

5 0

3 years ago

Write the equation of a line (y=mx+b) that passes through the points: (2. 6) and (4. 14)