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
miss Akunina [59]
2 years ago
12

Select the correct answer. Which equation, when solved, gives 8 for the value of x?​

Mathematics
1 answer:
Rus_ich [418]2 years ago
8 0

The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.

\frac{5}{4}x-\frac{3}{2}x=-4+2

\frac{5}{4}x-\frac{6}{4}x=-2

-\frac{1}{4}x=-2

x=8

You might be interested in
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
Find the slope of (3,1) (-2,-3)<br>hint use rise/rum.​
Ymorist [56]

Answer:

the slope is -2/5.

8 0
3 years ago
Read 2 more answers
If y varies directly with x and y is 18 when x is 6, which of the following represents this situation?
Zolol [24]
Y=18
x=6

following since they vary directly it would be in
y=mx form

18=m(6)
6*3=18

your answer is y=3x
8 0
3 years ago
Amair was trying to expand his game collection. He bought two games from a friend and bought two more at a garage sale. If two o
Alisiya [41]
The answer is 2, it’s a simple question. 2+2=4-2
8 0
3 years ago
Read 2 more answers
A school drama club has 50 members . Of those students , 35% of the members are seventh graders . How may drama club members are
ikadub [295]
50×.35=17.5 but you would round up to 18.
So 18 members are on drama club
5 0
3 years ago
Other questions:
  • Antonio is a biologist studying life in a pond. He needs to know how deep the water is. He notices a water lily sticking straigh
    7·1 answer
  • What is 7,456 to the nearest thousand
    13·2 answers
  • Need help with #9 please
    11·1 answer
  • 7. You draw a card from a poker deck, replace it, and draw
    10·2 answers
  • Approximately 10% of all people are left-handed. Consider a grouping of fifteen people.
    7·1 answer
  • Add the following using the common denominator method. Show all of your work. <br><br> 2/3 + 2/9
    8·1 answer
  • Danielle has test scores of 92, 86, 83, 90 and 91 in her math class. What score does she need on the next test to have an overal
    11·1 answer
  • 7x-6y=9<br> 5x+2y=19 Solve the system using elimination.
    12·1 answer
  • What is Eight decreased by 3 times a number is 2​
    10·2 answers
  • The number 900 is increased by 20% and then decreased by 20%. Find the new number.(the ans is 864 apparently:/ I need steps)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!