1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Airida [17]
3 years ago
13

Lines k and p are perpendicular, neither is vertical and p passes through the origin. Which is greater? A. The product of the sl

opes of lines k and p B. The product of the y-intercepts of lines k and p
Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0
What do we know about those two lines?

They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)

For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]

So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A
You might be interested in
SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin
laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$Z(X)=\frac{x-\mu}{\sigma}

$Z(433)=\frac{433-\ 433}{90}=0

$Z(523)=\frac{523-\ 433}{90}=1

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. ((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%

Here μ to μ + σ = \frac{68\%}{2} =34\%

Hence 34% of the scores lie between 433 and 523.

8 0
3 years ago
Write the equation of the line
den301095 [7]

It seems that the y-intercept is 1, so you will be adding 1 to the equation. When you make a chart, you find that each number grows by 1 as well.

From this information, you will find that the answer is

y = x + 1

7 0
3 years ago
How many groups of 1/2 day are in 1 week?
weqwewe [10]
There are 14 groups of days are in 1 week.
5 0
2 years ago
A model rocket is built to the scale 1:20, or 1 inch - 20 feet. The actual rocket is 4440 feet
tester [92]
The answer is 222. 20 divided by 1 is 20 so if you divide 4440 by 20 you get 222.


Hope this helped!
8 0
2 years ago
Read 2 more answers
A group of 120 people touring Europe includes 45 people who speak French, 42 who speak Spanish, and 50 who speak neither languag
lianna [129]

Answer : P(\text{this group will speak both French and Spanish})=0.141666666

Explanation:

Since we have given that

n(U) = 120, where U denotes universal set ,

n(F) = 45, where F denotes who speak French,

n(S) = 42 , where S denotes who speak Spanish,

n(F∪S)' = 50

n(F∪S) = n(U)-n(F∪S) = 120-50 = 70

Now, we know the formula, i.e.

n(F∪s) = n(F)+n(S)-n(F∩S)

⇒  70    = 45+42-n(F∩S)

⇒ 70  =  87- n(F∩S)

⇒ 70-87 = -n(F∩S)

⇒ -17 = -n( F∩S)

⇒  17 = n(F∩S)

P(\text{this group will speak both French and Spanish})= \frac{17}{120}\\P(\text{this group will speak both French and Spanish})=0.141666666

3 0
3 years ago
Other questions:
  • 7.5 4.2
    10·1 answer
  • Please give me an approximation of how long it would take to evacuate a population of 91,000 to a destination 21 miles away, usi
    11·1 answer
  • How to solve expression using exponents
    7·2 answers
  • Algebra 1, Section 7.08
    13·2 answers
  • Use the three conditions to show that function f(x)=2x^2 +3x - 1 is continuous at x=0.​
    8·1 answer
  • 1. Find m1<br><br> [] 30<br> [] 33<br> [] 57<br> [] 63
    14·2 answers
  • What is the axis of symmetry?
    8·2 answers
  • Fill in the box with the appropriate measure.<br> quick please I have only a few min left
    9·1 answer
  • Find x. Round your answer to the nearest tenth of a degree. (marking BRAINLEST)​
    9·1 answer
  • ✨ B R A I N L I E S T
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!