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
MrRissso [65]
3 years ago
10

Does x+y=1 have an x-intercept of (1,0) and y intercept of (0,1)?

Mathematics
1 answer:
aivan3 [116]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

To find the y intercept of this formula, you first need to convert it into slope intercept form.

x+y=1

y=-x+1

Here, the slope is negative 1 and the y intercept is (0,1). If you imagine the line with a slope of negative 1, it will indeed cross the x axis at (1,0). Hope this helps!

You might be interested in
The score on an exam from a certain MAT 112 class, X, is normally distributed with μ=78.1 and σ=10.8.
salantis [7]

a) X

b) 0.1539

c) 0.1539

d) 0.6922

Step-by-step explanation:

a)

In this problem, the score on the exam is normally distributed with the following parameters:

\mu=78.1 (mean)

\sigma = 10.8 (standard deviation)

We call X the name of the variable (the score obtained in the exam).

Therefore, the event "a student obtains a score less than 67.1) means that the variable X has a value less than 67.1. Mathematically, this means that we are asking for:

X

And the probability for this to occur can be written as:

p(X

b)

To find the probability of X to be less than 67.1, we have to calculate the area under the standardized normal distribution (so, with mean 0 and standard deviation 1) between z=-\infty and z=Z, where Z is the z-score corresponding to X = 67.1 on the s tandardized normal distribution.

The z-score corresponding to 67.1 is:

Z=\frac{67.1-\mu}{\sigma}=\frac{67.1-78.1}{10.8}=-1.02

Therefore, the probability that X < 67.1 is equal to the probability that z < -1.02 on the standardized normal distribution:

p(X

And by looking at the z-score tables, we find that this probability is:

p(z

And so,

p(X

c)

Here we want to find the probability that a randomly chosen score is greater than 89.1, so

p(X>89.1)

First of all, we have to calculate the z-score corresponding to this value of X, which is:

Z=\frac{89.1-\mu}{\sigma}=\frac{89.1-78.1}{10.8}=1.02

Then we notice that the z-score tables give only the area on the left of the values on the left of the mean (0), so we have to use the following symmetry property:

p(z>1.02) =p(z

Because the normal distribution is symmetric.

But from part b) we know that

p(z

Therefore:

p(X>89.1)=p(z>1.02)=0.1539

d)

Here we want to find the probability that the randomly chosen score is between 67.1 and 89.1, which can be written as

p(67.1

Or also as

p(67.1

Since the overall probability under the whole distribution must be 1.

From part b) and c) we know that:

p(X

p(X>89.1)=0.1539

Therefore, here we find immediately than:

p(67.1

7 0
3 years ago
POSSIBLE POINTS
aleksandrvk [35]

It wouldn't let me post, so I screenshotted:

5 0
2 years ago
4y = 5x is this a direct variation?
Alenkasestr [34]

Answer:

5/4

Step-by-step explanation:

4y = 5x Divide by 4

y = (5/4) x

To make y = kx from y = (5/4) x

k must be (5/4)

k = 5/4

3 0
2 years ago
Cion
Sidana [21]

Answer:

- 0.83

Step-by-step explanation:

just add the recurring bar on top of the 3 and it should be correct

6 0
1 year ago
Choose the best definition for the following phrase: combining like terms (1 point)
Maksim231197 [3]

combining like terms in a polynomial is adding or subtracting together terms that have the same degree in the exponents.

example. 3x^3 + 5x^6 + 2x^3 +7x + 9x^6

= 7x + 5x^3 + 14x^6

4 0
3 years ago
Other questions:
  • If m&lt;7=100, find m&lt;6
    12·1 answer
  • 85,000 is 70% of what Number?
    7·2 answers
  • The table shows transactions in a checking account
    15·1 answer
  • Write a recursive formula for f(n) = -3 + 2 for n &gt; = 1
    5·1 answer
  • Suppose each edge of a cube is 7.8 cm long. Which is the BEST estimate for the volume of the cube?
    11·2 answers
  • For:<br> 9 times the sum of 9b and 2
    15·1 answer
  • Suppose you want to get a loan for $ 5 , 000 at an interest rate of 5.3 % for 2 years to be paid back in 24 monthly installments
    7·1 answer
  • i am even number smaller than 48 but not greater than 30 i am multiple of 6 and factor of 72 what number i am​
    12·1 answer
  • Evaluate functions : k(6) =
    7·1 answer
  • Which function has an inverse that is also a function? g(x) = 2x – 3 k(x) = –9x2 f(x) = |x 2| w(x) = –20.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!