Explain in words how you would graph the following inequality on a number line. 3x < 12 HELPPPPPPPPPPP PLSSSSSS
Answer:
x<4
Step-by-step explanation:
3x < 12
Divide with 3 on each side
x< 4
In words x has all the real numbers that are less than 4 or x belongs to any number from -ve infinity to 4.
The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
To graph the inequality 3x < 12 on a number line, we can follow these steps:
- Start by isolating x by dividing both sides of the inequality by 3, which gives us x < 4.
- Draw a number line and mark a point at 4, which is the boundary between the values of x that satisfy the inequality and those that don't.
- Since the inequality is strict (i.e., "less than" and not "less than or equal to"), we need to indicate that the point x = 4 is not included in the solution set.
We can do this by making an open circle (or "unfilled dot") at 4 on the number line.
- Shade the portion of the number line to the left of the point x = 4, since these are the values of x that satisfy the inequality 3x < 12.
We can use an arrow pointing to the left to indicate that the shaded region extends indefinitely in that direction.
Thus,
The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.
Learn more about inequalities here:
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Which statement describes -1/11 ?
Answer:
B
Step-by-step explanation:
because it ends up being -0.09090909...
Step-by-step explanation:
becous is end o.0909090
Which expressions listed on the left are equivalent to √36a^8/225a^2? Check all that apply. (Assume that a ≠ 0.)
Answer: ABE
Step-by-step explanation:
Answer: a b e
Step-by-step explanation:
solve the system:
3x-2y=1 2x+5y=3
a.) x=1, y=1
b.)x=-1,y=-1
c.)x=11/19, y= 7/19
d.)x=-19/2,y=22/5
e.)x=17/3, y=8
Which graph represents the inequality y ≥ x + 3m
Answer:
Pardon, ne
Step-by-step explanation:
Regardless of age, about 20% of American adults participate in fitness activities at least twice a week. A random sample of 100 adults over 40 years old found 15 who exercised at least twice a week. Is this evidence of a decline in participation after age 40? Use α = .05. a) Write test hypothesis b) Compute test statistic. c) Apply any method to draw conclusion.
Answer:
The null hypothesis is [tex]H_0: p = 0.2[/tex]
The alternate hypothesis is [tex]H_a: p < 0.2[/tex]
The p-value of the test is 0.1056 > 0.05, which means that there is not evidence of decline in participation after age 40 using α = 0.05.
Step-by-step explanation:
20% of American adults participate in fitness activities at least twice a week. Test if there is evidence of a decline in participation after age 40.
At the null hypothesis, we test that the proportion is of 0.2, so:
[tex]H_0: p = 0.2[/tex]
At the alternate hypothesis, we test if the proportion is less than 0.2, indicating a decline. So
[tex]H_a: p < 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
20% is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8}[/tex]
A random sample of 100 adults over 40 years old found 15 who exercised at least twice a week.
This means that [tex]n = 100, X = \frac{15}{100} = 0.15[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.15 - 0.2}{\frac{\sqrt{0.2*0.8}}{\sqrt{100}}}[/tex]
[tex]z = -1.25[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.
Looking at the z-table, z = -1.25 has a pvalue of 0.1056.
The p-value of the test is 0.1056 > 0.05, which means that there is not evidence of decline in participation after age 40 using α = 0.05.
Help please I need it right now thanks
Answer:
The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.
Step-by-step explanation:
Can someone just check and tell me if this is right. If it's not correct can you explain how to do it?
AnswerI think its crrect]
Step-by-step explanation:
Answer:
75°
Step-by-step explanation:
When a quadrilateral is incribed in a circle, opposite angles equal 180.
180-105=75
Combine like terms to create an expression equivalent to: n +n + n + y + y
Answer:
[tex]3n+2y[/tex]
Step-by-step explanation:
LIKE TERMS: TERMS WHOSE VARIABLES AND EXPONENTS ARE THE SAME.
[tex](1)n+(1)n+(1)n+(1)y+(1)y[/tex]
When combining variables that do not have coefficients, there is always an invisible '1' in front of the variable.
[tex](1)n+(1)n+(1)n = 3n.[/tex]
[tex](1)y+(1)y=2y.[/tex]
[tex]3n+2y.[/tex]
Help within 10 min pleeeeeeeeeease
Answer:
10
Step-by-step explanation:
A flea is jumping around on a number line
can someone help me solve for x and show the work please
Answer:
D. -10
Step-by-step explanation:
The sum of a triangle = 180°, therefore,
64° + 63° + x + 63 = 180°
Add like terms
x + 190° = 180°
Subtract 190 from each side
x + 190 - 190 = 180 - 190
x = -10
Carlos va a comprar un televisor que tiene un costo de c doláres. El impuesto gubernamental
de valor añadido es del 16%. ¿Cuál es la ecuación que MEJOR modela el pago total en
dólares, p, que hará Carlos en está en esta compra? *
Answer:
b
Step-by-step explanation:
Pleas hlp am going to fail here are the options
Answer:
10+2b
Step-by-step explanation:
do 2(b+3)
2xb + 2x3
2b+6
4+(2b+6)
10+2b
hope that helped
Write 0.59 as a fraction in simplest form.
A
59
1000
O
B
100
59
c
59
100
D. 59
10
HURRY
Answer:
C. 59/100
Step-by-step explanation:
Please answer the question correctly with factual information for brainliest.
Answer:
3 and 4
Step-by-step explanation:
3^3 = 27
4^3 = 64
help! Is this correct? If not can i please have a correction?
The answers are correct, however in the first box it should be 22y instead of just 22. Same with the 6 it should be 6x.
Let f(x)=-2x+6 and g(x)=10x-8
[tex]\frac{f}{g} (-3)[/tex]
Answer:
f(10x-8)=-20x+22
f(g(x))
possibly
g(-2x+6)=-20x+52
g(f(x))
If needing a different answer math-way can possibly help you as it helped me.
Can someone please help me I will mark u brilliant
Answer:
Step-by-step explanation:
9
Answer: 8
Step-by-step explanation:
First, all the times are 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10. Second, you put them in ordet, but that’s already done. Then the median is the middle. The number in the middle is 8.
NEED ANSWERS FAST!!!! If there are 100 students in a room and 40 of them are boys, how many are girls?
Answer:
60
Step-by-step explanation:
100 - 40 = 60
Common Math
11. You earn $500 in 80 hours. At that rate. how much would you eam in 200 hours?
Answer:
Should be 1250$
Answer:
1250
Step-by-step explanation:
First we divide 500 divide by 80 that will give you 6.25
So then you multiply 6.25 by 80 to get sure then if you are sure, yo will multiply 6.25 by 200 that will give you, 1,250.
HELPPPP MEEEEE ITS 5 GRADE MATH IK HELP ME IM FAILING RN :(((((
Answer:
i think c
Step-by-step explanation:
Answer:
Gross income for an individual—also known as gross pay when it's on a paycheck—is the individual's total pay from their employer before taxes or other deductions. This includes income from all sources and is not limited to income received in cash; it also includes property or services received.
Net income- In business and accounting, net income is an entity's income minus cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.
I think its B
Step-by-step explanation:
will give more p0ints if correct
Answer:
REVENGE
Step-by-step explanation:
Answer:
Answer is im not sure
What is the measure of angle x?
Enter your answer in the box.
Answer:
x = 48º
Step-by-step explanation:
x = 90 -42
x = 48º
There is an image below. Is ThIs CoRrEcT? If it's wrong, what is it?
How much interest would Ms. Saver earn at the end of 1 year if she placed $5000 in a
bank that paid 3% interest?
A $10.50
B. $15.00
C. $150.00
D. $1500.00
Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive.
Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118
Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126
What is the alternative hypothesis for this study?
Worker productivity is higher with automatic dispensers.Automatic dispensers fill cups faster than manual dispensers. Worker productivity is lower with automatic dispensers.There is no difference in worker productivity between restaurants with automatic and manual dispensers.
What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal)
When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4 decimal places)
What can be concluded from this study at a 1% significance level?
There is no difference in worker productivity between restaurants with automatic and manual dispensers.Worker productivity is higher with automatic dispensers. Automatic dispensers fill cups faster than manual dispensers.Worker productivity is lower with automatic dispensers.
Answer:
Alternative hypothesis is that Worker productivity is higher with automatic dispensers.
The Rank for Group1 is 115.5 and Group 2 is 55.5.
Conclusion is that Worker productivity is higher with automatic dispensers.
Step-by-step explanation:
The null and alternative hypotheses are
H0: Group1 ≤ Group2 against the claim
Ha: Group1 > Group2
Alternative hypothesis is that Worker productivity is higher with automatic dispensers.
Calculations:
Group1 Group2
Sample Mean x ` 139.22 114.67
Sample size n 9 9
Sample SD 18.21 11.937
Rank 115.5 55.5
U 10.5 70.5
The Rank for Group1 is 115.5 and Group 2 is 55.5.
1. H0 hypothesis
As p-value < alpha and Z lies in the critical region, H0 is rejected.
The randomly selected value of Group1's population is considered have greater productivity than the randomly selected value of Group2's population.
2. P-value
The p-value equals 0.0046.
3. Test statistics
Z= u-μ+c/σ
The critical region for one tailed test for z at 0.01 significance level is
z > 2.33.
The test statistic Z equals 2.6063, which lies in the critical region of acceptance z> 2.326
4. Conclusion
As the calculated test statistic lies in the critical region H0 is rejected and it is concluded that
Worker productivity is higher with automatic dispensers.
Mixed Applications: Choose the best strategy
Choose any of the following strategies to solve the problems. Identify the strategy you used in each problem.
Use a formula
Draw a Diagram
Write a Number Sentence
Guess & Check
Where is the problem
how do you add 44÷44?
stu.pid questions
Answer: You can't unfortunatly. 44 divided by 44 is 1 though
Step-by-step explanation:
I am an arc that measures between Oº and 180° WHAT AM I?
Answer:
a semicircle?
Step-by-step explanation: