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
Reptile [31]
3 years ago
15

Function 1 is defined by the equation y=2x+10

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

C. The functions have the same y-intercept

Step-by-step explanation:

In slope intercept form, y = mx + b, b represents the y-intercept, and in the first function the y-intercept is 10.

The y-intercept is when x = 0, and in the chart, when x equals 0, y equals 10.

10 = 10, so they have the same y-intercept.

You might be interested in
#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,
tia_tia [17]
First find slope of line j
(-1-5)/(6+3) = -6/9 = -2/3
Perpendicular = opposite sign and reciprocal slope

Solution: 3/2
5 0
3 years ago
The mid-point or number which divides a series of values into two groups of equal numbers of values is referred to as the:
Over [174]
<span>The mid-point or the number that divides a series of values into two groups of equal numbers of values is referred to as the median. To get the median value, first sort the numbers from highest to lowest or lowest to highest and then pick the middle number. However, for even numbered sets of numbers, take the average of the two middle numbers and the resulting number is the median. </span>
3 0
3 years ago
In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre
Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

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.

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)}

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that p = 0.09

41 people arrested for DUI in Illinois are selected at random.

This means that n = 41

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

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

P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1).

Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

E(X) = np = 41*0.09 = 3.69

d. What is the standard deviation of the number of repeat offenders?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83

4 0
2 years ago
Have a great day! Just know to ty even trough rough times<br><br><br><br>​
topjm [15]

Answer:

y....u.......p

Step-by-step explanation:

good day :D

6 0
2 years ago
Read 2 more answers
Write the word sentence as an inequality.
Flura [38]

Answer:

y < -8

Step-by-step explanation:

If a number is no more than it means that number is less.

The symbol for less is <

The word sentence "A number y is no more than -8" as an inequality is:

y < -8

Therefore the variable (or unknown) y is less than -8.

5 0
3 years ago
Other questions:
  • Can you find the cube root of a negative number? If so, it is positive or negative? Explain your reasoning.
    8·1 answer
  • Ellen Saver went to her bank. She had a balance of $2,447.67 in her savings account. She withdrew $231.49 and the teller credite
    8·2 answers
  • A competition
    8·1 answer
  • Make a table for the equation x+y=10 include x values from 0-10
    14·1 answer
  • Bar Model<br>Math show me 8÷2=4​
    7·1 answer
  • Whats the commisson of 660 in 10%
    7·1 answer
  • HELP MAYDAYYY!!!<br> What is the value of x?
    8·1 answer
  • What is 0.7 in inches
    11·2 answers
  • Please help! Final problem for tonight
    13·2 answers
  • In the diagram below, AB is parallel to CD. What is the value of y?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!