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
FinnZ [79.3K]
3 years ago
5

Write an equation of lines whose graph is parallel to the graph of y=3x-10

Mathematics
1 answer:
katrin [286]3 years ago
7 0
Parallel lines have the same slope.

So the graph of  [ y = 3x + any number ] is parallel
to the graph of  [ y = 3x - 10 ] .
You might be interested in
Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that
Mekhanik [1.2K]

Answer:

Since n(1-p) = 3.72 < 10, the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

np \geq 10 and n(1-p) \geq 10

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.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

Out of 124 software users

This means that n = 124

Assume the probability that a given software user will call technical support is 97%.

This means that p = 0.97

Conditions:

np = 124*0.97 = 120.28 \geq 10

n(1-p) = 124*0.03 = 3.72 < 10

Since n(1-p) = 3.72 < 10, the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

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

P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

3 0
3 years ago
A city doubles its size every 12 years. If the population is currently 500,000, what will the population be in 24 years?
vesna_86 [32]
2,000,000 because 24/12 is 2 so you double it twice
7 0
3 years ago
Read 2 more answers
Solve the following inequality: 3-5x-x^2&gt;=0
Dennis_Churaev [7]

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(3)/2(-1)

x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)

5 0
3 years ago
Find the measure of the number two angles in each figure. Justify each answer​
BigorU [14]
11:
1. 123°
2. 57°
3. 95
4. 85°

12.
1. 130°
2. 54°
3. 130°
4. 126°
8 0
3 years ago
How do i identify constants -((3y^3)/7)​
BARSIC [14]

Answer:

y=1/6 x

Step-by-step explanation:

here mark me as a brill please

3 0
3 years ago
Other questions:
  • Determine the values of h, k, a, and b for the ellipse shown. Use the standard form of the equation. (h, k) = ( , ) a = b =
    7·2 answers
  • A TV show had 3.5 x 10^6 viewers for their first episode and 5.2 million more viewers more for their second episode ñ. In their
    10·1 answer
  • A refrigerator costs $850. The estimated yearly operating cost of the refrigerator is $62. Average annual cost = Purchase price
    10·2 answers
  • The area of the trapezoid is 40 square units.<br><br> What is the height of the trapezoid? __ Units
    13·2 answers
  • A man is walking a triangular path, partially represented by the vectors AB−⇀−=⟨0,10⟩ and CA−⇀−=⟨−12,0⟩ . If his distance is rep
    11·1 answer
  • In a club of 50 persons the number of men is
    6·1 answer
  • What property is this called? 5(3x+6) <br> Please help me
    6·2 answers
  • WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM J
    12·1 answer
  • Why is this not a function? (picture attached ^) <br><br> YOU WILL GET BRAINLEST FAST!
    5·1 answer
  • HELPPPPP<br> Consider the function below. Find f(8)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!