I need to find the resultant matrix

If two lines are perpendicular, which statement must be true? A.The slopes of the two lines are equal. B.The slopes of the two l

dangina [55]

Answer:

Option D is correct that is The Slopes of two lines are negative reciprocals.

Step-by-step explanation:

Perpendicular lines are the lines which intersect each other at right angle or make 90° angle with each other.

we that the Slope of perpendicular lines are equal to -1

Therefore, Option D is correct that is The Slopes of two lines are negative reciprocals.

5 0

3 years ago

In his Fourth of July speech, Douglass says that "above your national, tumultuous joy, I hear the wail of millions.” To what is

krok68 [10]

I think that what Frederick Douglass meant by the "wail of millions" is that while the 4th of July is a great day to be celebrated by non-African American people as it meant the true independence of the 13 colonies from Great Britain and freedom for many of its citizens, in fact slavery is still intact at the time of his speech in 1852 and so July 4th cannot be celebrated by the vast majority of the black people in the US who are still under the terrible yoke of slavery.

6 0

3 years ago

How do I simplify 7 to the power of 1

Savatey [412]

$\huge\boxed{7}$

Any number to the power of $1$ is itself. So, $7^1 = \boxed{7}$ .

Here are some more examples:

$382^1 = 382$

$0^1 = 0$

$\pi^1 = \pi$

8 0

2 years ago

Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

So

$P(x \ge 60) \approx P(z > 1.34)$