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
Scorpion4ik [409]
3 years ago
5

-5x-12>6x-4 Solve the inequality and give the answer in interval notation.

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

-5x-12>6x-4

To Solve the inequality we need to get x alone

-5x-12>6x-4

first we remove -12, for that we add 12 on both sides

-5x-12+12>6x-4+12

-5x > 6x +8

Now subtract 6x from both sides

-5x -6x> 6x-6x +8

-11x > 8

Divide by -11. when we divide by -11 we flip the inequality . so > becomes <

x < -\frac{8}{11}

We need to give the answer in interval notation.

x is less than -8/11 so x value starts from -8/1  and goes to -infinity(left)

So interval notation is (-∞, -\frac{8}{11})

You might be interested in
The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her liste
Paraphin [41]

Complete Question:

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her listeners are at least 22 years old and wants to know what age group she should gear her advertisements to for the games. She takes a random sample of 46 listeners from age 22-39 and 57 listeners who are 40 and older and asks them if they are likely to tune in to football games. The "yes" responses are recorded in the file attached below.

1. At the 0.05 level of significance, is there a significant difference in the proportion of listeners based on age?

2. Is there evidence to suggest that there is a significant difference in the proportion of listeners based on age?

Answer:

1) There is no significant difference in the proportion of listeners based on age

2) No, there is no evidence

Step-by-step explanation:

Sample size of group 1, n_1 = 46

Sample size of group 2, n_2 = 57

Number of Yes in group 1,  X_1 = 32

Number of Yes in group 2, X_2 = 47

Proportion of Yes in group 1:

\hat{p_1} = \frac{X_1}{n_1} \\\hat{p_1} = \frac{32}{46}\\\hat{p_1} = 0.6957

Proportion of Yes in group 2:

\hat{p_2} = \frac{X_2}{n_2} \\\hat{p_2} = \frac{47}{57}\\\hat{p_2} = 0.8246

Null Hypothesis, H_0: p_1 = p_2

Alternate Hypothesis,H_a: p_1 \neq p_2

\hat{p} = \frac{X_1 + X_2}{n_1 + n_2}  \\\\\hat{p} = \frac{ 32+47}{46+57} \\\\\hat{p}= 0.767

Significance level,

Calculate the test statistic

z = (\hat{p_1} - \hat{p_2})/\sqrt{(\hat{p} * (1-\hat{p}) * (\frac{1}{N_1}  + \frac{1}{N_2})}\\\\z = (0.6957-0.8246)/ \sqrt{(0.767*(1-0.767)*(1/46 + 1/57))}\\\\z = -1.54

Get the P-value from the probability distribution table:

At z = -1.54, P-value = 0.1236

Since (P-value = 0.1236) > (α = 0.05), we will accept the null hypothesis. This means that there is no evidence to suggest that there is difference in the proportion of listeners based on age.

7 0
2 years ago
Solve –3 + c = –8.<br> A. -5 B. 11 C. 5 D.-11
sergey [27]

Answer:

The answer is A. -5

Step-by-step explanation:

Write out the equation:

-3 + c = -8           Add 3 on both sides to isolate the varible on one side

       c =  -5         -8 plus 3 is -5

You must isolate the variable in order to solve equations with variables.

Isolating variable is basically when you divide, multiply, add, or subtract to put a variable on <u><em>ONLY </em></u>one side of the equation.

<h3><u><em>Please rate this and please give brainliest. Thanks!!! </em></u></h3><h3><u><em>Appreciate it! : ) </em></u></h3><h3><u><em>And always, </em></u></h3><h3><u><em>SIMPLIFY BANANAS          : )</em></u></h3>

<u><em></em></u>

6 0
3 years ago
PLEASE HELP!!
lys-0071 [83]
The lines that intersect is B
4 0
3 years ago
Let U=5i-9j and V=-8i+8j. find U-V
liraira [26]
U-V\\&#10;5i-9j-(-8i+8j)=0&#10;\\5i-9j+8i-8j=0&#10;\\13i-17j=0 
is your final answer.
5 0
3 years ago
Simplify square root of 24 times square root of 2x times square root of 3x
sveticcg [70]
\sqrt{24} * \sqrt{2x} * \sqrt{3x} =  \sqrt{2*2*2*3}* \sqrt{2*x} * \sqrt{3*x} =  \sqrt{2*2*2*2*3*3*x*x} = 2*2*3*x = 12x
3 0
3 years ago
Other questions:
  • What is a number that can be divided out of each term in an expression?
    13·2 answers
  • Which of the following has no solution?
    10·1 answer
  • Select all of the expressions that equivalent to 4 radical 5​
    11·1 answer
  • A store sells 70 soccer balls one for $15.00 each and the other for $65.00 they made a total of 2,400. Write and solve the equat
    6·1 answer
  • Which shows a correct order to solve this story problem?
    15·1 answer
  • There are 12 tables and 4 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 72 people
    8·2 answers
  • Using Area Models to Divide a Fraction by a Fraction An area model has 1 shaded part and 1 unshaded part. The shaded part is lab
    15·2 answers
  • Does anyone know how to do this-​
    9·2 answers
  • ILL MARK BRAINLIEST!!! Someone just help!! Anyone!!
    13·1 answer
  • A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!