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
My name is Ann [436]
2 years ago
5

How do I solve this inequality?

Mathematics
1 answer:
djverab [1.8K]2 years ago
5 0

Step-by-step explanation:

9 ≤ |4x + 7|

9 ≤ 4x + 7

9 - 7 ≤ 4x

2 ≤ 4x

2/4 ≤ x

<h2>1/2 ≤ x</h2>

9 ≤ |4x + 7|

9 ≤ -(4x + 7)

9 ≤ -4x - 7

9 + 7 ≤ -4x

16 ≤ - 4x

16/-4 ≤ x

<h2>-4 ≤ x </h2>

<h2>{-4 ≤ x ≤ 1/2} </h2>
You might be interested in
11
spayn [35]

Answer:

$21 / 6 burgers= price per burger

$3.50 per burger

Brainiest plz?

3 0
3 years ago
I only need #8, but if you want to do the others you can.
lutik1710 [3]
Ralphs is 7.5x+10
frank’s is 10x
7 0
3 years ago
Read 2 more answers
Which answers are equivalent to Q + p + Q + p + Q​
NikAS [45]

Answer:

<h2>3Q + 2p</h2>

Step-by-step explanation:

Q+p+Q+p+Q\\\\\text{combine like terms}\\\\=(Q+Q+Q)+(p+p)=3Q+2p

4 0
3 years ago
Read 2 more answers
Jasmine has taken an online boating safety course and is now completing her end of the course exam. As she answers each question
anzhelika [568]

Answer:

80 questions.

Step-by-step explanation:

If 20% = 16 Q,

then 100 ÷ 20 = 5

Therefore, 5 x 16 = 80 questions on the test.

8 0
3 years ago
2. A marketing firm is trying to estimate the proportion of potential car buyers that would consider
Maurinko [17]

Answer:

a. The number of people that should be in the pilot study are 600 people

b. The point estimate is 0.62\overline 6

c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)

d. Two ways to reduce the margin of error are;

1) Reduce the confidence interval

2) Use a larger sample size

Step-by-step explanation:

a. The given parameters for the estimation of sample size is given as follows;

The margin of error for the confidence interval, E = 4% = 0.04

The confidence level = 95%

The sample size formula for a proportion as obtained from an online source is given as follows;

n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}

Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;

Z = The level of confidence at 95% = 1.96

n + The sample size

Therefore, we have;

n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25

Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people

b. The point estimate for the population proportion is the sample proportion  given as follows;

\hat p = \dfrac{x}{n}

Where;

x = The number of the statistic in the sample

n = The sample size

From the question, we have;

The number of potential car buyers, n = 600

The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376

Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, \hat p = 376/600 = 0.62\overline 6

c. The confidence interval for a proportion is given as follows

CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Therefore, we get;

CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}

C.I. ≈ 0.6267 ± 0.0387

The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. =  (0.588, 0.6654)

d. The margin of error is given by the following formula;

MOE_\gamma = z_\gamma  \times \sqrt{\dfrac{\sigma ^2}{n} }

Where;

MOE_\gamma = Margin of error at a given level of confidence

z_\gamma = z-score

σ = The standard deviation

n = The sample size

Therefore, the margin error can be reduced by the following two ways;

1) Reducing the confidence interval and therefore, the z-score

2) Increasing the sample size

6 0
2 years ago
Other questions:
  • The prism shown has a volume of 3,024 cm3.
    11·2 answers
  • Name all the quadrilaterals that have the given property. two pairs of parallel sides and all angles congruent rhombus, square r
    14·1 answer
  • Anyone that can help me with this?
    9·2 answers
  • How do you find a rate and unit rate
    9·2 answers
  • PLEASE HELP :( .... PLEASE
    13·1 answer
  • I need help with this ASAP please just a,b,c
    10·1 answer
  • Mark wants to order a pizza. Complete the explanation for which is the better deal. Round your answer to the nearest cent Use 3.
    14·2 answers
  • Amy started with $125 in her savings account. She deposited $25, withdrew $15, and then deposited $30. How much money is in Amy’
    7·2 answers
  • Ty so so much if you helped me :)
    11·1 answer
  • Please help i need this done by today !!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!