Therefore, **x < 7** is the inequality that may be utilized to find x
What is inequality?A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).
For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".
Let x represent how many days the client paid for pet sitting.
$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.
We are aware that the customer's purchase was under $125. Consequently, we can write:
20 + 15x < 125
Putting this disparity simply:
15x < 105
x < 7
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Test the hypothesis that the average content of containers of a particular lubricant is 15 liters if the contents of a random sample of 15 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3 and 9.8 liters. Use a 0.01 level of significance and assume that the distribution of contents is normal.
Also find 95% confidence interval for the population mean. Interpret your results
Answer:
Kindly check explanation
Step-by-step explanation:
Given The samples:
X = 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3, 9.8
Using a calculator ;
Sample mean, xbar = 10.27
Sample standard deviation, s = 0.462
H0 : μ = 15
H1 : μ < 15
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(10.27 - 15) / (0.462/sqrt(15))
-4.73 / 0.1192878
= - 39.65
Using the Pvalue form Tscore, calculator, df = 14
Pvalue = 0.000001,
Since, Pvalue < α ; then we reject the Null
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
TCritical at 95%, df = 14
Margin of Error = 2.145 * 0.462/sqrt(15) = 0.2559
Lower boundary :
10.27 - 0.2559 = 10.0141
Upper boundary :
10.27 + 0.2559 = 10.5259
(10.0141 ; 10.5259)
The true population means should reside within the interval
I need this answer NOW pls help
A linear function contains the following points.
What are the slope and y-intercepts?
O A. the slope is -3.
the y-intercept is (0, -1)
O B. O A. the slope is 3
the y-intercept is (-1, 0)
O C. the slope is 1/3
and the y-intercept is (0, -1)
O D.the slope is 3.
the y-intercept is (0, -1)
Answer:
its samanthas ocupation
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
I just took the test and i got this question right with that answer.
Can someone help on this please?
Answer:
The mean is 8.4
Step-by-step explanation:
First you find the class centers.
3-6 = 4.5
7-10 = 8.5
11-14 = 12.5
15-18 = 16.5
The sum of all the scores = 4.5 * 7 + 8.5 * 10 + 12.5 * 6 + 16.5 + 2 = 210
The sum of the number of scores = 7 + 10 + 6 + 2 = 25
The mean = 210/25 = 42/5 = 8.4
9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6
Answer:
x=3.2
Step-by-step explanation:
4(6 – x) + 4 = 2 (3x + 1) – 6
24 - 4x + 4 = 6x + 2 - 6
28 - 4x = 6x -4
-4x - 6x = - 4 - 28
-10x = - 32
divide both sides
x = 16/5 or x = 3.2
hope this helps :)
David Chow earns $42,000 a year as an artist. He is paid on a weekly basis He is married, with no dependents, and claims 2 withholding allowances for federal income tax purposes. The state tax rate is 2 percent of taxable income. How much is withheld annually from Chow's gross pay for state and federal income taxes?
David Chow's gross pay for Federal and State income tax purposes on the basis of being married and claiming two allowances using the attached table is $3276
Annual earning = $42,000Number of weeks in a year = 52Thus, weekly earning will be :
(Annual earning ÷ number of weeks) $42,000 ÷ 52 = $807.69David's weekly earning falls in between ($800 - $810) ; and the number of allowances claimed = 2
Hence, from the table, which contains the amount withheld weekly for different range of weekly earnings and number of allowances claimed; Therefore, weekly amount witheld for tax purposes = $63
Therefore, the amount witheld yearly for ;
Federal income tax = $63 × 52 = $3276Learn more :https://brainly.com/question/20979335
NEED HELP ASAP 30 POINTS
Determine the equation of the graph, and select the correct answer below. (5 points)
110
7
(-2,-4)
-15
Courtesy of Texas Instruments
O y = -(x - 2)2 - 4
O y = (x + 2)2 + 4
y = (x - 2)2 - 4
O y = -(x + 2)2 - 4
Answer:
your answer is correct
Step-by-step explanation:
X can't be negative so the only answer for the question is y=(x-2)*-4
Marbles, and 4 green marbles. The second bag contains 3 red marbles,2 blue marbles, and 4 green marbles. Aakesh will randomly select one marble from each bag. What is the probability that Aakesh will select a blue marble from each bag ?
The probability that Aakesh will select a blue marble from each bag is 4/45.
To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.
Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:
P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag
P(Blue from first bag) = 2 / 5
Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:
P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag
P(Blue from second bag) = 2 / 9
To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:
P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)
P(Blue from both bags) = (2 / 5) * (2 / 9)
P(Blue from both bags) = 4 / 45.
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Click on the time that passed from start to end
38 minutes
22 minutes
32 minutes
28 minutes
Answer:
32 mins\
beacuase taht was the amont of time that passed
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read. (1 point)
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read. (1 point)
3. Write the system of equations using your answers from questions 1 and 2.
(2 points)
5. Solve the system of equations. Show your work. (2 points)
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read? (2 points)
1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.
2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.
3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.
4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.
5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.
6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.
What is a system of equations?A system of equations involves using more than one equation solved simultaneously.
Jesse's reading rate per day = 30 pages
Amir's reading rate per day = 35 pages
The number of pages read by Jesse, y = 30 + 30x
The number of pages read by Amir, y = 35x
Where x = the number of days they have been reading
Solving the equations:y = 30 + 30x and y = 35x
35x = 30 + 30x
35x - 30x = 30
5x = 30
x = 6 (30/5)
Jesse:y = 30 + 30x
y = 30 + 30(6)
y = 210
Amir:y = 35x
y = 35(6)
y = 210
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Which of the following represents the diameter of the circle below?
O A. TH
OB. OH
OC. H
OD. O
O
H
The correct answer is option (A) TH. The diameter of the circle shown in the diagram is TH
A diameter is a straight line that passes through the center of the circle and connects two points on the circle.
Therefore, in order to find the diameter of a circle, we need to identify two points on the circumference that are opposite to each other.
These two points form the endpoints of the diameter of the circle.
The given circle is shown below: As we can see from the diagram, points H and T lie on the circumference of the circle, and they are opposite to each other.
Hence, the line TH is the diameter of the circle.
Therefore, the correct answer is option (A) HT, which represents the diameter of the circle shown in the diagram.
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How many times can a paper be folded to reach the moon
Answer:
42 folds. This fact is mentioned in search results [1], [2], [3], [4], [5], and [7]. It is also noted in search result [6] that the answer may be 45 folds instead of 42, but this is in the context of a discussion on exponential growth and is not a commonly accepted answer to the question. Finally, search result [10] poses a similar question but provides the same answer of 42 folds to reach the moon.
Step-by-step explanation:
Diameter(a) is 20 cm and diameter(b) is 5. What is the ratio of circumference(a) to circumference(b)?.
Answer:
5:1
Step-by-step explanation:
d_a = 20
d_b = 5
Equation for the circumference of a circle:
C = pi*d
C_a = pi * d_a
C_a = pi*20
C_b = pi * d_b
C_b = pi * 5
Ratio of C_a to C_b = C_a/C_b
C_a/C_b = (pi * 20)/(pi * 4) = 5:1
One reason to compute a correlation coefficient to measure the strength of the relationship between two variables is that ______.
One reason to compute a correlation coefficient to measure the strength of the relationship between two variables is that quantify the strength and direction of the correlation in a precise and standardized way..
When we have two variables that are related, we say that there is a correlation between them. The most common way to visually represent a correlation is by plotting the data on a scatter plot, where each point represents a pair of values for the two variables.
While a scatter plot is a useful tool to visualize the relationship between two variables, it doesn't tell us how strong or weak the correlation is. For instance, two variables might show a positive correlation, but the scatter plot might be quite dispersed, indicating that there is a lot of variability in the data. In this case, we would say that the correlation is weak. On the other hand, if the scatter plot is tightly clustered around the line, we would say that the correlation is strong.
This is where the correlation coefficient comes in. The correlation coefficient is a mathematical measure that quantifies the strength and direction of the relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfect negative correlation, a value of 0 indicates no correlation, and a value of 1 indicates a perfect positive correlation.
To compute the correlation coefficient, we first need to calculate the covariance between the two variables. Covariance is a measure of how much the two variables vary together, and it is defined as the sum of the products of the deviations of the values from their respective means. Once we have the covariance, we can divide it by the product of the standard deviations of the two variables to get the correlation coefficient.
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Write a partitive division story problem for 6÷(3/4)?
A problem that could be represented by this expression is:
"We have 6 liters of juice and we want to divide it in cups of 3/4 of a liter. How many cups can be filled?"
In this problem, we can solve it by dividing 6 by 3/4, just as expected in the question.
The weight, w, in tons of a school bus is related linearly to its seating capacity, p. A 60-passenger bus weighs 10 tons, and an 84-passenger school bus weighs 13 tons. Which equation can be used to find the weight of a 50-passenger bus? (PLS explain!!)
1. w-10=50/71(50-60)
2. w-10 = 71/50(50-60)
3. w-10 = 8(50-60)
4. w-10 = 1/8(50-60)
The equation that can be used to find the weight of 50 passenger bus is w-10 = 1/8(50-60)
What is a linear equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
A linear equation is represented by y=ax+b
where y and x are variables and a and b are constant.
if the weight of the bus is x and the capacity is y,this means
60=10a+b equation 1
84=13a+b equation 2
subtracting equation 1 from 2
24= 3a
a= 8
substituting 8 for a in equation 1
60=10×8+b
b= -20
therefore for 50passengers,w=
50=8w -20
50+20=8w
w= 70/8 tons
option D, w-10 = 1/8(50-60) can be simplified to
w= -10/8+10
w= (-10+80)/8
w= 70/8
Therefore equation w-10 = 1/8(50-60) can be used to find the weight of a 50-passenger bus
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What is the slope of the line shown in the graph? The answer to choose from: -2, -1, 1/-2, 1/2. I put -2 but I don’t think I’m right-
The joint effect of two independent variables acting together is called a. transformation. b. joint regression. c. autocorrelation. d. interaction.
Answer:
D. Interaction
Step-by-step explanation: Interaction is a statistical term that is used to describe the joint effects of two or more variables that are acting together, interaction in this sense does not have an additive function, that is interaction does not lead to addition of the variables, it is also a non-causal relationship. Interaction in statistics are usually described in the context of regression analysis.
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Convert 69 g/cm to kilograms per meter (kg/m).
Answer:
69g/cm is 6.9kg/m
Step-by-step explanation:
\(1 g --> \frac{1}{1000}kg\\\\69g --> \frac{69}{1000}kg\\\\1cm --> \frac{1}{100}m\\\\\frac{69 g}{1cm} = \frac{\frac{69}{1000} }{\frac {1}{100}} = \frac{69}{1000} \times \frac{100}{1} = \frac{69}{10} = 6.9kg/m\)
Answer:
\(69 \: g {cm}^{ - 1} \\ 69 \times {10}^{ - 3} \times ({10}^{ - 2} ) ^{ - 1} kg \: {m}^{ - 1} \\ 69 \times {10}^{ - 1} \: kg {m}^{ - 1} \\ 6.9 \: kg {m}^{ - 1} \)
An isosceles triangle has a perimeter of 28.12 centimeters. The length of the longest side is 13.08 centimeters. What could be the length of
one of the other sides of the triangle?
A. 3.92 centimeters
B. 7.52 centimeters
C. 11.26 centimeters
D. 15.04 centimeters
Answer:
7.52 cm
Step-by-step explanation:
If we subtract the longest side from the whole perimeter, we get 28.12 - 13.08 = 15.04.
So the other two sides must be equal, since the triangle is isosceles.
That means 15.04 must be divided evenly betweem two sides.
15.04/2 = 7.52
So the 3 sides are 13.08 cm, 7.52 cm, and 7.52 cm.
You check the answer by adding all 3 sides together and we do indeed get the perimeter, 28.12 cm.
True or false question someone plz help I’ll cash app !
Answer:
true
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
Write an equivalent expression by distributing the "sign outside the parentheses:
4w (5.8x - 3.3)
Answer:
23.2wx - 13.2w
Step-by-step explanation:
4w (5.8x - 3.3) =
4w * 5.8x - 4w * 3.3 = distribute 4w to 5.8x and 3.3
4 * 5.8 *w * x - 4w * 3.3 =
23.2 * w * x - 13.2w ==> simplify
23.2wx - 13.2w
Solve for p: 8 = p over 7 please help!!!
Answer: p= 56
8 = p/7
This means to make p by itself, you have to multiple both sides by 7 to cancel out the 7. On the left side, it’d be 8 times 7, which is 56. On the right side, the 7 cancels out and isolates p.
Use the table below to answer the following questions.
Notebooks Cost
3
4
(Dollars)
$1.65
$2.20
$2.75
$3.30
5.
6
Find the sum and express it in simplest form.
(-6b²2b-1) + (-2b² + 4b)
100
Clear all
Enter the correct answer.
000
DONE
Answer:
-8b^2 + 4b
Step-by-step explanation:
To simplify the expression (-6b^2 2b-1) + (-2b^2 + 4b), we need to combine like terms.
First, let's distribute the negative sign to the terms inside the first set of parentheses:
(-6b^2) + (-2b^1) = -6b^2 - 2b^1
Now let's combine the terms inside the second set of parentheses:
(-2b^2) + (4b) = -2b^2 + 4b
Finally, let's add the two expressions:
(-6b^2 - 2b^1) + (-2b^2 + 4b) = -6b^2 - 2b^1 - 2b^2 + 4b
Simplifying, we get:
-8b^2 + 4b = -8b^2 + 4b
The final simplified expression is: -8b^2 + 4b.
name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
The total angle of a kite is............
Since a kite is a quadrilateral, it has the value of 360 total degrees.
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
There are 16 boys and 12 girls in the running club. What is the ratio of girls to boys?
3:4
16:12
4:3
12:16
Answer:
4:3
Step-by-step explanation:
it will be 16:12 and when you divide both by 3 it will be 4:3
I WILL GIVE 100 POINTS IF YOU ANSWER THE QUESTIONS BELOW
Answer:
BRO I HAVE THE SAME QUESTION I NEEEED HELP
Step-by-step explanation: