What is the answer to 21≥3(a−7)+9
Answers
Related Questions
The following data are the numbers of cycles to failure of aluminum test coupons subjected to repeated alternating stress at 21000 psi, 18 cycles per second.
1115 865 1015 885 1594 1000 1416 1501 1310 2130 845 1223 2023 1820 1560 1238 1540 1421 1674 265
1315 1940 1055 990 1502 1109 1016 2272 1269 1120 1764 1468 1258 1481 1102 1910 1260 910 1330
1512 1315 1567 1605 1018 1888 1730 1608 1750 1085 1883 706 1452 1782 1102 1535 1642 798
1203 2233 1890 1522 1578 1781 1020 1270 785 2100 1792 758 1750
Required:
a. Construct a stem-and-leaf display for these data.
b. Does it appear likely that a coupon will "survive" beyond 2000 cycles?
Answers
a) The stem and leaf plot of the data is illustrated below.
b) Based on the stem-and-leaf plot, it appears likely that a coupon will "survive" beyond 2000 cycles since there are data points in that range.
First, we separate the data into stems and leaves. The stem represents the tens place, while the leaves represent the ones place. For example, if a data point is 1223, the stem would be 122 and the leaf would be 3. By organizing the data in this manner, we can easily determine the frequency of values and observe any patterns that emerge.
Now let's construct the stem-and-leaf plot for the given data:
Stem | Leaves
------+-------
7 | 06 58 85 90 98
8 | 45 65 85 85 88 90 90 93 94 94 98
9 | 10 55 69 69 90 90 90 90 90 93 94 94 94
10 | 15 20 23 23 26 30 33 40 42 42 50 58 60 62 62 74 85 90
11 | 02 02 06 09 20 20 22 23 26 35 52 52 52 52 55 67 90 90
12 | 03 20 20 22 23 33 33 58 58 69 90 90
13 | 15 35 42 46 58 70 82 98
14 | 02 35 42 81
15 | 18 23 35 40 42 52 67 74
16 | 42 60 42
17 | 06 30 50 81
18 | 20 22 50 82
19 | 30 90 92
20 | 10 30 50 70 82
21 | 00 00 02
22 | 33 33 58 58 90
23 | 33 33
24 | 20 22
25 | 33 65
For instance, a stem value of 8 with leaves 45 indicates two data points: 845 and 885. The frequency of each data point can be determined by counting the number of leaves associated with each stem.
Now, let's address the question of whether it appears likely for a coupon to "survive" beyond 2000 cycles. To answer this, we examine the stem-and-leaf plot. We observe that the stem value of 20 contains several leaves greater than 0, indicating that there are data points in the 2000s range. Additionally, the stem values of 21 and 22 also have leaves, suggesting the presence of data points beyond 2000 cycles.
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Which choices are equivalent to the expression below? Check all that apply.
x + 2x + 9x
O A. 12x
O B. 12y3
O C. 12
D. (1 + 2+ 9)x
SUBMIT
Answers
Scott works on cars. He charges a $75 repair fee plus $10 per hour. If Dave was charged $100 by Scott to work on his car, then 1) write an equation that represents the hours, h, Scott worked on his car. How many hours did Scott work on Dave's car?
Answers
Answer:
equation: y= 10x + 75
Hours (x)= 2.5 hours
Step-by-step explanation:
y= 10x + 75
100 = 10x + 75
-75 -75
25 = 10x
/10 /10
x = 2.5
Answer:
1). Inequality: 10h + 75 = 100.
2). Scott worked on his car for 2.5 hours.
Show Work:
Finding out The Inequality -
Sign: = (Equal Sign)
Variable: h (h for hours)
Coefficient: $10 per hour
Constant: $75 repair fee
Total: $100 was charged
Inequality: 10h +75 = 100
Figuring out the Inequality
10h +75 = 100
-75 - 75
0 25
10/10 = 1 25/10 = 2.5
h = 2.5
Explain:
With the Inequality I made with the Key concepts of the Word problem, I Started to answer the Question. First, I Subtracted 75 from 100 and 75, so I can see the Amount of Money Dave owes Scott without the Repair fee. 75 - 75 = 0, so I crossed it out, and 100 - 75 = 25. Then I bought the 10h down, so I could Divide it so I can get the Variable and the Answer together. So Because 10 was being Multiplied to the Variable h, I Had to do the opposite, so I divided 10÷10, and 25÷10. 10÷10 = 1, so I crossed it out, and 25÷10 = 2.5. So Scott worked on Dave's car for 2 and a half hours.
LCM of 12 32 and 56 please tell
Answers
Answer:
672
Step-by-step explanation:
Hope it helps ;)
Airpods originally cost $120. after a discount, the Airpods cost $84. What is the percent decrease for the Airpods
Answers
Answer:
the percent can be 36% or 35% but i would go for 36%
help me please? ill mark as brainliested :))
Answers
Answer:
go down 5 on the y axis (the one going up and down)
Step-by-step explanation:
since its negative you go down, and since it doesnt give an x axis it doesnt go left or right.
The ratio of cars to trucks in a parking lot is 9:5. Cole states that there must be exactly 4 more cars than trucks in the parking lot. Determine a number of cars and trucks in the parking lot to show Cole's statment is false.
Answers
If there are 5 trucks, then there must be 9 + 4 = 13 cars in order for Cole's statement to be true.
However, this would mean that the ratio of cars to trucks is 13:5, which is not the same as the original ratio of 9:5.
To show that Cole's statement is false, we need to find a different number of cars and trucks that satisfies the original ratio of 9:5, but does not have exactly 4 more cars than trucks.
For example, if there are 18 cars and 10 trucks in the parking lot, then the ratio of cars to trucks is still 9:5. However, there are 8 more cars than trucks, not 4 more.
Therefore, Cole's statement is false.
sorry but I need help AGAIN so sorry but help me plz
Answers
Answer:hfhfhfh
Step-by-step explanation:
hfhfhfh
Range of g(x)=3 square root of x
Answers
The range of the function g(x) is given as follows:
[0, ∞).
How to obtain the domain and range of a function?The domain of a function is obtained as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is obtained as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:
[0, ∞).
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What is the square root for 855
Answers
Answer:
3√95
Step-by-step explanation:
Easiest and quickest way to do this is to plug it into your calc. You should get 3√95 when you do so.
Answer:
3√95The square root of 855 is a rational number if 855 is a perfect square. It is an irrational number if it is not a perfect square. Since 855 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 855?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.
√855 is an irrational number
Step-by-step explanation:
hope this helps :)
3. an farmer is testing to see how different amounts of nitrogen infused in the soil will impact the height of her corn plants. she puts two corn plants into two pots. one is filled with nitrogen infused soil and the other is not. she puts the regular soil pot outside and the nitrogen infused plant in her bathroom. the corn in the regular soil grows to 7 feet tall and the corn in the nitrogen soil grows to 2 feet tall. what are her variables?
Answers
The variables of farmer are independent variables and dependent variables.
In this scenario, the farmer is testing the impact of different amounts of nitrogen on corn plant height. Her variables are as follows:
1. Independent variable: The amount of nitrogen infused in the soil (one pot has nitrogen-infused soil and the other has regular soil).
2. Dependent variable: The height of the corn plants (measured in feet).
However, it's important to note that the experimental setup has a potential confounding variable, which is the location of the pots (one is outside and the other is in the bathroom). This might influence the results and make it difficult to solely attribute the differences in height to the nitrogen content in the soil.
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I NEEED HELPPP!!!! 17+18+19+ … +42+43
Answers
Let
S = 1 + 2 + 3 + … + (n - 2) + (n - 1) + n
Reversing the order of terms, we have
S = n + (n - 1) + (n - 2) + … + 3 + 2 + 1
and we observe that terms in the same position on the right side add up to n + 1.
2S = (1 + n) + (2 + (n - 1)) + (3 + (n - 2)) + … + (n + 1)
There are n terms in the sum, so each the right side is simply n copies of n + 1, and
2S = n (n + 1)
S = n (n + 1)/2
Now,
17 + 18 + 19 + … + 41 + 42 + 43
= (1 + 2 + 3 + … + 41 + 42 + 43) - (1 + 2 + 3 + … + 14 + 15 + 16)
= (S with 43 terms) - (S with 16 terms)
= 43 (43 + 1)/2 - 16 (16 + 1)/2
= 810
sales tax rate in New Mexico is 5.125%. A pair of pants in New Mexico costs $30 before tax. How much does the pair of pants cost after tax?
Answers
Answer: $31.54 ($31.5375, rounded to $31.54)
Step-by-step explanation: $30 * .05125 = $1.5375, to find our sales tax.
Add this sales tax ($1.5375) to $30 and we get $31.5375
IF IT SAYS TO ROUND TO THE NEAREST HUNDRETH, TYPE:
"31.54"
IF NOT:
"31.5375"
Which statement is true about the polynomial -10m^n^+8m^n^+3m^n^-2m^n^-6m^n^ after it has been fully simplified?
Answers
Answer:
It has no undefined points.
Answer:
thats not a proper equation-
Step-by-step explanation:
Does anyone understand? Need help asap
Answers
Answer:
it's 149.(54)=7
Step-by-step explanation:
that's the answer
the degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. an article presented the following summary data on stance duration (ms) for samples of both older and younger adults. age n sample mean sample sd older 28 801 117 younger 16 780 72 assume that both stance duration distributions are normal. a) calculate and interpret a 99% confidence interval (ci) for true average stance duration among elderly individuals. b) carry out a test of hypotheses to decide whether true average stance duration is larger among elderly individuals than among younger individuals. c) construct a 95% ci for the difference in means and compare results to part(b).
Answers
We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.
To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)
Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic
a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.
Given:
Older adults: n = 28, sample mean = 801, sample standard deviation = 117
Using the formula for a confidence interval for the mean, we have:
Margin of error = t * (sample standard deviation / √n)
Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.
Calculating the margin of error:
Margin of error = 2.576 * (117 / √28) ≈ 56.44
The confidence interval is then calculated as:
Confidence interval = (sample mean - margin of error, sample mean + margin of error)
Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)
b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.
The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.
The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.
. With the given data, perform the t-test and obtain the p-value.
c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.
Given:
Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117
Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72
Calculating the standard error of the difference in means:
Standard error = √((s1^2 / n1) + (s2^2 / n2))
Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89
Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.
Calculating the margin of error:
Margin of error = t * standard error
Margin of error = 2.048 * 33.89 ≈ 69.29
The confidence interval is then calculated as:
Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)
Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)
Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.
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1/5+x+2/3=1 PLEASE HELP
Answers
Answer:
x=2/15
Step-by-step explanation:
1/5+x+2/3=1
3/15+x+10/15=15/15
13/15+x=15/15
x=2/15
Answer:
the answer to your question
The sum of two numbers is 201 and their difference is 1. Find the numbers.
Answers
Answer:
100 and 101
Step-by-step explanation:
its just a 1 number different
Answer:
100 and 101
Step-by-step explanation:
its literally only a 1 number difference
he table shows the relationship “Mason rode 15 miles per hour on his bicycle.”
Hours (h)
Miles (m)
1
15
2
30
3
45
4
60
5
75
Which statements are correct? Check all that apply.
The variable m is the independent variable.
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
The variable h is the dependent variable.
The farther Mason rides, the less time it takes.
The variable m is the dependent variable.
Answers
Answer: The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
The variable m is the dependent variable.
Step-by-step explanation:
Carla invests $500 in an account that earns 4% annual interest. In approximately how many years will she have doubled her investment?
A 14
OB. 18
OC 21
OD 24
Answers
Interest is the amount of money added on an amount invested. He have doubled her investment after 18 years
Compound interestThe formula for calculating the compound interest is expressed as
A = P(1+r)^t
Given the following parameters
P = $500
r = 4%= 0.04
A= $1000 (doubled)
Substitute
1000 = 500(1+0.04)^t
2 = 1.04^t
t = ln2/ln1.04
t= 17.67 = 18years
Hence he have doubled her investment after 18 years
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Craig and Jeff are comparing their plans for downloading songs. Craig pays a monthly fee of $5.50 and then $0.25 per song he downloads. Jeff
pays $0.80 for each song he downloads. What number of downloaded songs result in Craig and Jeff having the same monthly cost?
Answers
Answer:
10 songs
Step-by-step explanation:
Let number of songs Craig and Jeff downloaded be s
5.50 + 0.25s = 0.80s
5.50 = 0.55s
s = 10
Solve for the variable -x=-12
Answers
Answer:
12
Step-by-step explanation:
How would you write 12 as a Roman numeral?
Answers
Answer:
ⅠⅠⅩ
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.
PLS HELPP MEE!!
Find the percent of increase from 2005 to 2010.
Answers
Answer:
75%
Step-by-step explanation:
Which option shows the equation for the line in the graph
Answers
Answer:
y=-3x-10
Step-by-step explanation:
The y-intercept is -10 and the line is going in a negative direction. Meaning the slope will be negative.
Looking at the options, you can tell that the answer will in fact, be y=-3x-10
Or to solve, -2,-4 and -5,5
5--4 to get 9
-5--2 to get -3
9/-3 gets you -3. The slope of the line is -3. And you can notice that the intercept is -10.
This gets you y=-3x-10
Use the drop-down menus to locate integers on the number line.
A number line going from negative 5 to 7. A is at negative 4, B is at negative 1, C is at 2, D is at 6.
A -4. -1 , 6, 2
B -4, -1, 6 , 2
C -4, -1, 6, 2
D -4, -1, 6, 2
Answers
A is -4
B is -1
C is +2
D is +6
( example: +3 is positive 3
-3 is negative 3 )
Hope this helped!
One of the main criticisms of differential opportunity theory is that
a. it is class-oriented
b. it only identifies three types of gangs
c. it overlooks the fact that most delinquents become law-abiding adults
d. it ignores differential parental aspirations
Answers
The main criticism of differential opportunity theory is that it overlooks the fact that most delinquents become law-abiding adults (option c).
Differential opportunity theory, developed by Richard Cloward and Lloyd Ohlin, focuses on how individuals in disadvantaged communities may turn to criminal activities as a result of limited legitimate opportunities for success.
However, critics argue that the theory fails to account for the fact that many individuals who engage in delinquency during their youth go on to become law-abiding adults.
This criticism highlights the idea that delinquent behavior is not necessarily a lifelong pattern and that individuals can change their behavior and adopt prosocial lifestyles as they mature.
While differential opportunity theory provides insights into the relationship between limited opportunities and delinquency, it does not fully address the complexities of individual development and the potential for desistance from criminal behavior.
Critics suggest that factors such as personal growth, social support, rehabilitation programs, and the influence of life events play a significant role in individuals transitioning from delinquency to law-abiding adulthood.
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\(3x-5(3-2x)=6x-15\)
Answers
The solution of the equation 3x - 5(3 - 2x) = 6x - 15 will be 0.
Given that:
Equation, 3x - 5(3 - 2x) = 6x - 15
In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
Solve the equation for 'x', then we have
3x - 5(3 - 2x) = 6x - 15
3x - 15 + 10x = 6x - 15
7x = 0
x = 0
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No links, I just need an explanation on how to do this, like step by step because I don't understand. T-T
Answers
Answer:
a. Jared and Ali
Step-by-step explanation:
b. Molly make mistake when he/she divide all equation by 4 but left the 8x remain 8x, it should be 2x.
Mark make mistake in changing the sign whitout changing side/ passing trough equal sign. FYI, + can be - and also - can be + if they move to the other side
i.e.
2 + 3 = 5
2 = 5 - 3
) Tina planted 75 plants. N plants did not grow leaving her with 48 plants. Which equation expresses how many plants Tina lost?
Answers
Answer:
Step-by-step explanation: I think this is the answer
Tina planted 75 plants and only 48 grow
To know how much is lost we subtract 75 from 48 which gives us 27
75-48=27