Which of the following number lines represents the solution set of the inequality -1/3x+4<3?
Answers
The number line that represents the solution set is the third one.
Which number line represents the solution of the inequality?Here wer have the inequality:
-1/3x+4<3
Solving this for x we will get:
4 - 3 < (1/3)x
1*3 < x
3 < x
So the solution set is the set of all the numbers larger than x = 3, the graph on a number line is a open circle at x = 3 and a line that extends to the right side, then the correct option is the third number line, counting from the top.
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Related Questions
Hello everyone can someone answer this question please
Answers
9514 1404 393
Answer:
(a) 2
Step-by-step explanation:
Each inch is 2.54 cm, so 5.08 cm is ...
x / (5.08 cm) = (1 in) / (2.54 cm)
x = (1 in)(5.08/2.54) = (1 in)(2)
x = 2 in
5.08 cm equals 2 inches.
Find the next three terms
-100, -40, -16, -6.4
Answers
The next three terms are -2.56, -1.024 and -0.4096
How to determine thenext three termsThe definition of the function is given as
Sequence -100, -40, -16, -6.4
The above definitions imply that we simply multiply 0.4 to the previous term to get the current term
Using the above as a guide,
so, we have the following representation
Next term = -6.4 * 0.4 = -2.56
Next term = -2.56 * 0.4 = -1.024
Next term = -1.024 * 0.4 = -0.4096
This means tat the next three terms are -2.56, -1.024 and -0.4096
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Instructions: For each correlation coefficient, describe what it means for data to have that correlation coefficient.
Answers
The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0.
A correlation of -1.0 shows a perfect negative correlation, while a correlation of 1.0 shows a perfect positive correlation. A correlation of 0.0 shows no linear relationship between the movement of the two variables.
Correlation coefficients whose magnitude is between 0.9 and 1.0 indicate variables that can be considered very highly correlated. Correlation coefficients whose magnitude is between 0.7 and 0.9 indicate variables that can be considered highly correlated. Correlation coefficients whose magnitude is between 0.5 and 0.7 indicate variables that can be considered moderately correlated. Correlation coefficients whose magnitude is between 0.3 and 0.5 indicate variables that have a low correlation. Correlation coefficients whose magnitude is less than 0.3 have little if any (linear) correlation.
A correlation coefficient of -0.5 shows a negative correlation. From the paragraph above, a value of 0.5 shows a moderate correlation.
Therefore, the correlation coefficient of -0.5 shows a MODERATE NEGATIVE CORRELATION.
Best gets brainly!!!!
Answers
9514 1404 393
Answer:
(a) MN/NP
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the cosine relation is ...
Cos = Adjacent/Hypotenuse
The triangle similarity statement tells you angle Q is congruent to angle N. The side adjacent to angle N is side MN, and the hypotenuse of triangle NPM is NP. Then the desired ratio is ...
cos Q = MN/NP . . . . . . matches upper left choice
I need some assistance with these two problems please help
Answers
Given:
\(\begin{gathered} n=225 \\ mean(\mu)=6.4 \\ standard\text{ }deviation=4.1 \\ confidence\text{ }interval=99 \end{gathered}\)To Determine: The mean number of the unoccupied seat
Solution
The formula for finding confidence interval given
\(CI=\mu\pm z\times\frac{\sigma}{\sqrt{n}}\)The model below is shaded to represent 7 3/10
Answers
Answer:
blue 7.3
Step-by-step explanation:
Answer:
7.3
Step-by-step explanation:
There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3
You want to buy 4 pens, each costing 27 cents. How many dollar bills should you take to the store? im not in college btw lol
Answers
Answer:
108c so 2 dollar bills.
Step-by-step explanation:
If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Answers
Answer:
12 posts are needed
Step-by-step explanation:
60 divided by 5 is 12
Anybody please help me so I can give you a brainlist
Answers
The features of the linear function 3x - 5y = 15 are given as follows:
m = 3/5.x-intercept: (5,0).y-intercept: (0,-3).How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.For this problem, the function is given as follows:
3y - 5y = 15.
In slope-intercept format, we have that:
5y = 3x - 15
y = 3x/5 - 3.
Hence the parameters are given as follows:
m = 3/5.b = -3, meaning that the y-intercept is at point (0,-3).The x-intercept is at point (x,0), hence the value of x is given as follows:
3x = 15
x = 15/3
x = 5.
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if it cost $25.90 to make six servings of guacamole how many dollars would it cost to make one serving of guacamole
Answers
hope this helped!!
A bird was perched on a tree at a height of 24 feet. The bird then saw food on a branch below and dropped down 18 feet. What is the current height of the bird?
Answers
Answer: 6 feet
Step-by-step explanation: You take the 24 feet from where the bird started and subtract it by the amount the bird dropped?
A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
Answers
- the last one is your answer, you can use the small lines on the side of triangle to help you know which ones match with each other
What are the values of x for which the denominator is equal to zero for y=x^2+3/x^2+2
Answers
Answer:
when x = ±\(\sqrt{2}\)
Step-by-step explanation:
morgan bought new living room furniture for $6,500 on an installment plan. he made a down payment $500, and he has to make monthly payments of $210.00 for the next three years. how much interest will he pay?
Answers
Interest morgan will pay is $1560.
What is compound interest?Compound interest, also known as interest on principle and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Given, Morgan used a payment plan to purchase brand-new living room furnishings for $6,500. He put down $500, and over the following three years, he must pay a monthly payment of $210.00.
Hence he has to total pay = 500 + 210*12*3
The total money morgan has to pay is $8060.
Therefore total interest morgan has to pay is 8060-6500 = $1560.
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HELP ASAP STEM AND LEAF PLOT MATH
Answers
Answer:
there are 2 threes
Step-by-step explanation:
the numbers under 'leaf' are the ones place. since there are only two 3s, that is your answer.
You and 2
2
friends have a job cleaning houses. You split the total money you make so that you each get the same amount. On the first day, you earn $93
$
93
. The second day, you earn $75
$
75
. The third day, you earn $108
$
108
. How much money do you each get for 3
3
days of work?
Answers
The amount of money that each person would get for the three days of work is $92.
How much would each person get?The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.
Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day
= $93 + $75 +$108 =$276
The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.
The amount of money gotten by each person = total earnings / total number of people
$276 / 3 = $92
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Simplify 3 / 3 + 3 to the second power 4 subtract 2
Answers
Answer:
Answer = 2.528
Step-by-step explanation:
(3/4)*-2/(4/5)*-3*(3/5)*-2
firstly convert the negative powers into positive:(4/3)*2/(5/4)*3*(5/3)*2
so it will be as:(16/9)/(64/125)*(25/9)
for making it easy make reciprocal of the second and change division into multiplication :(16/9*64/125)----16*64=1024 and 9*125=1125
divide both number now---->0.190
now multiply that with:0.190*25/9
Then gets you the answer.
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Answers
The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.
Step 1: State the hypotheses.
- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).
- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).
Step 2: Compute the value of the test statistic.
To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).
The formula for the z-test statistic is:
z = (X- μ) / (σ / √n)
Where:
X is the sample mean (4.21 cm),
μ is the population mean (4.00 cm),
σ is the population standard deviation (0.83 cm), and
n is the sample size (121).
Plugging in the values, we get:
z = (4.21 - 4.00) / (0.83 / √121)
z = 0.21 / (0.83 / 11)
z = 0.21 / 0.0753
z ≈ 2.79 (rounded to two decimal places)
Step 3: Determine the critical value and make a decision.
With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.
For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).
Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.
Conclusion:
Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.
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What is the translation from
a) shape X to shape Z?
b) shape Z to shape X?
Answers
The translation form of each shape is given as follows:
a) X to Z: (x, y) -> (x + 5, y + 2).
b) Z to X: (x, y) -> (x - 5, y - 2).
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.For the composition of translations, we add the coordinates, hence:
-2 + 7 = 5.5 - 3 = 2.Hence the rule from X to Z is given as follows:
(x, y) -> (x + 5, y + 2).
From Z to X, we have the inverse rule, hence:
(x, y) -> (x - 5, y - 2).
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Enter the correct answer in the box. What are the solutions of this quadratic equation?
ײ - 6x= -58
Substitute the values of a and b to complete the sonlutions
x= a+bi
x=a -bi
Answers
Answer:
x = 3 + 7i or x = 3 - 7i; a = 3; b = 7
Step-by-step explanation:
x^2 - 6x = -58
We complete the square by adding the square of half of the coefficient of the x-term to both sides.
x^2 - 6x + 9 = -58 + 9
(x - 3)^2 = -49
\( x - 3 = \pm 7i \)
x = 3 + 7i or x = 3 - 7i
a = 3; b = 7
The required value of a and b for the solution of the given equation is 3 and 7 respectively.
Given that,
To determine the solutions of this quadratic equation x² - 6x= -58 and Substitute the values of a and b to complete the solution.
x= a+bi
x=a -bi
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Given equation,
x² - 6x= -58
Completing the square of the above equation by adding and subtracting the square of the half of the coefficient of x.
x² - 6x + 9 - 9 = -58
(x - 3)² = -58 + 9
(x - 3)² = -49
x - 3 = √-49
x - 3 = ±7i
x = 3 ±7i
Now,
The required
a + bi = 3 + 7i
a - bi = 3 - 7i
Thus the required value of a and b for the solution of the given equation is 3 and 7 respectively.
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The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
Answers
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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Which of the following statements is true concerning ABC below?
С
A. A is the smallest angle.
B. A is the largest angle.
C. B is the smallest angle.
D. B is the largest angle.
Answers
A is the smallest
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What is the slope of a line that is perpendicular to the line to the line represented by the equation y=1/3x+4
Answers
Answer:
C.
Step-by-step explanation:
Perpendicular slope means it's the opposite, meaning the perpendicular slope of 1/3 is -3 because -3 = -3/1. [note: if it's positive it should come out negative and just the opposite if it's a negative (the fraction should also be flipped)]
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
can someone help me please
Answers
Answer:
B is the answer
Step-by-step explanation:
(10×2 +1/2)÷(2×4+1/4)
(21/2)÷(9/4)
Then calculate it and the answer is B
Jill makes purses and backpacks. To make each purse, she uses 1 foot less than 1/2 the amount of fabric she used to make a backpack. Write an expression for the amount of fabric that Jill needs to make a purse. If she uses 7 feet of fabric to make a backpack, how many feet of fabric will she use to make a purse?
Answers
Let x be the amount of fabric used to make a backpack, and
y be the amount of fabric used to make purse.
The expression is now
\(\begin{gathered} y=\frac{1}{2}x-1 \\ \\ \text{IF }x=7,\text{ THEN} \\ y=\frac{1}{2}(7)-1 \\ y=\frac{7}{2}-1 \\ y=3.5-1 \\ y=2.5 \end{gathered}\)Therefore, she needs 2.5 feet of fabric to make a purse.
Write an expression equivalent to 4x-2x+4-1.
Answers
Answer:
2x+3 i think
Help me out with this question (geometry)
Answers
Answer:
Number C is the answer
Step-by-step explanation:
The real relation between them is <EBF = 1/2 <ABC
How bad is the heavy traffic? You can walk 15
miles in the same time that it takes to travel 30
miles by car. If the car's rate is 2 miles per
hour faster than your walking rate, find the
average rate of each.
Answers
Answer:
Average rate of car: x+3
Walking rate: x
The equation is
10/15 = x/x+3
So
x = 6
So
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Answer:
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
A consumer group claims that the mean annual consumption of high fructose corn syrup by a person in the United States is 48.8 pounds. A random sample of 120 people in the United States has a mean annual high fructose com syrup consumption of 49.5 pounds. Assume the population standard deviation is 3.6 pounds. At alpha = 0.05, can you reject the claim? Identify the null and alternative hypotheses. Identify which hypothesis is the claim. Use the sample statistics given to find the standardized test statistics: z and P. Make a decision to reject or fail to reject the null hypothesis. Interpret your decision in the context of the original claim.
Answers
the result we get is statistically significant. We reject the null hypothesis.
The null hypothesis in the given question is 'the mean annual consumption of high fructose corn syrup by a person in the United States is 48.8 pounds' and the alternative hypothesis in the given question is 'the population standard deviation is 3.6 pounds.'
Population mean = 48.8 pounds
Sample size = 120
Sample mean = 49.5 pounds
Population standard deviation = 3.6
α = 0.05
The standardized statistic z is:
z = (Sample mean - Population mean) x (√n / standard deviation)
z = (49.5 - 48.8) x (√120/3.6)
z = 2.13
The standardized statistic P is:
P = 2 - 2 x Φ(z)
P = 2 - 2 x 0.983
P = 0.034
Since, the result we get is statistically significant. We reject the null hypothesis.
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