Answer:
Step-by-step explanation:
12 feet *12 inches per foot= 144 inches
144/4=36 stickers
What is the margin of sampling error if p=16% and n=400?Formula : ME=2 √p(1-p)/nOptions : 1- about 2% 2- 3% 3- 4% 4- 5%5- 6%
Given:
p = 16%
and, n = 400
We will find the margin of sampling error
The formula to find the margin of sampling error will be:
\(ME=2\sqrt[]{\frac{p(1-p)}{n}}\)substitute with (p) and (n):
\(ME=2\sqrt[]{\frac{0.16\cdot(1-0.16)}{400}}=0.03666\cdot100\%=3.666\%\)Rounding to the nearest whole percent
So, the answer will be 4%
Pls help me I beg I am really stuck thanks
The total area of the figure is 60 square centimeters.
How to find the area of the figure?We can see that in this figure we have 4 rectangles of 5cm by 3 cm.
Remember that the area of a rectangle is just the product between the dimensions, then the total area here is 4 times the product between the dimensions.
We will get:
Area = 4*(5cm*3cm) = 4*15cm² = 60cm²
That is the total area.
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help me out i will gave you points
Answer:
Y is a variable and 9 is a constant. Y and 9 is are also a term
Step-by-step explanation:
Which of the following are measures of central tendency of the first psychology exam in a semester?
►The average score on the exam was an 85.
►The median score on the exam was an 80.►The correlation coefficient was +0.85.
►The most frequently occurring exam score was an 82.
►The scores varied from 95 to 65.
►The standard deviation was 5.
The measures of central tendency of the first psychology exam in a semester are the average score, which was an 85.
The correlation coefficient and the range of scores from 95 to 65 are not measures of central tendency either.
The standard deviation is a measure of variability, not central tendency, that the measures of central tendency of the first psychology exam are the average and median scores. This states that the mode, correlation coefficient, range of scores, and standard deviation are not measures of central tendency.
Hence, the measures of central tendency for the first psychology exam in a semester are the average score (85) and the median score (80).
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The measures of central tendency for the psychology exam scores include the average, median, and mode.
Explanation:The measures of central tendency of the first psychology exam in a semester include the average score, median score, and mode (most frequently occurring score).
The average score on the exam was 85, which represents the mean of all the scores.
The median score on the exam was 80, which represents the middle value when all the scores are arranged in order.
The most frequently occurring score was 82, which represents the mode of the scores.
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which equation is true for the value b=2a. 2b+24=30b. 3b-2=4c. b+4=8d. 2b-3=0
3(2)-2=4, the second is true. the answerb is b
What do u get when u Simplify (5b)(-3a).
approximately what percent of the world's plastic waste ends up being recycled? group of answer choices 20% 1% 9% 57%
Approximately 9% of the world's plastic waste ends up being recycled.
Here, we have,
given that,
approximately what percent of the world's plastic waste ends up being recycled.
we know that,
Of the 8.3 billion metric tons that has been produced,
6.3 billion metric tons has become plastic waste.
Of that, only nine percent has been recycled.
we have,
Only 9% of plastic waste is recycled
(15% is collected for recycling but 40% of that is disposed of as residues).
Hence, Approximately 9% of the world's plastic waste ends up being recycled.
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The length of the sofa on the plans is ____"(Simplify your answer. Type an integer, fraction, or mixed number.)
Given:
\(\frac{1}{6}^{\doubleprime}\text{ on a plan for 1 foot }\)The length of the sofa is 6'3''.
We need to convert the foot into inches.
\(1\text{ foot = 12 inches.}\)\(1^{\prime}=12^{\doubleprime}\)Multiply both sides by 6, we get
\(1\times6^{\prime}=12\times6^{\doubleprime}\)\(6^{\prime}=72^{\doubleprime}\)The length of the sofa is
\(6^{\prime}3^{\doubleprime}=72^{\doubleprime}+3^{\doubleprime}=75^{\doubleprime}\)The scale of the plan is
\(\frac{1}{6}^{\doubleprime}\colon1^{\prime}\)\(\frac{1}{6}^{\doubleprime}\colon12^{\doubleprime}\)Multiply by 75/12 on both sides, we get
\(\frac{75}{12}\times\frac{1}{6}^{\doubleprime}\colon\frac{75}{12}\times12^{\doubleprime}\)\(\frac{75}{72}^{\doubleprime}\colon75^{\doubleprime}\)\(1\frac{3}{72}^{\doubleprime}=75^{\doubleprime}\)\(1\frac{1}{24}^{\doubleprime}=75^{\doubleprime}\)Hence the length of the sofa on the plan is
\(1\frac{1}{24}^{\doubleprime}\)john wanted a pressure washer for a flat fee of $50 plus $9 per hour how many hours did he rent the pressure washer if the total bill was $86?
He rented the pressure washer for 4 hours, given that the total bill was $86.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
Let x = total number of hours he rented the pressure washer
The total bill, which was $86, includes the flat fee of $50 plus $9 per hour of use.
Hence, the equation will be 50 + 9x = 86.
Solve for x.
50 + 9x = 86
9x = 86 - 50
9x = 36
x = 4
total number of hours he rented the pressure washer = 4
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Consider the given set of numbers: 87.6, 89.0, 88.8, 87.9 what is the average of the numbers? what is the average absolute deviation for the set of numbers?
1. The average of the set of data is 88.325
2. The average absolute deviation for the set of data is 0.575
Data obtained from the questionThe following data were obtained from the question:
Data: 87.6, 89.0, 88.8, 87.9Average =?Average absolute deviation =?1. How to determine the average of the dataData: 87.6, 89.0, 88.8, 87.9Summation of data = 87.6 + 89.0 + 88.8 + 87.9 = 353.3Number of data = 4Average =?The average of the given set of data can be obtained as follow:
Average = Summation of data / number of data
Average = 353.3 / 4
Average = 88.325
2. How to determine the average absolute deviationData: 87.6, 89.0, 88.8, 87.9Number of data = 4Average = 88.325Absolute Deviation = (87.6 - 88.325) + (89.0 - 88.325) + (88.8 - 88.325) + (87.9 - 88.325) = 2.3Average absolute deviation =?The average absolute deviation for the data can be obtained as follow:
Average absolute deviation = absolute deviation / number of data
Average absolute deviation = 2.3 / 4
Average absolute deviation = 0.575
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Help pls I really need it pls
What is the difference between a repeating decimal and a terminating decimal?
A.
A repeating decimal ends in repeating zeros, while a terminating decimal is always a whole number.
B.
A repeating decimal has non-zero repeating values, while a terminating decimal is always a whole number.
C.
A repeating decimal ends in repeating zeros, while a terminating decimal ends in zero.
D.
A repeating decimal has non-zero repeating values, while a terminating decimal ends in zero.
Answer:
It is D
Step-by-step explanation:
because a repeating decimal that has a non - zero value, but a terminating decimal ends in a zero.
I dont know how to find x
Simplify. Write the answer as a decimal
10-4/10
need help.
Answer:
shoukd be 15
Step-by-step explanation:
Answer:
9.6
Step-by-step explanation:
10 - 4/10 = 9 6/10
9 6/10 = 15
Which choices are equivalent to the fraction below
Answer:
B. 1/2, and D. 5/10.
Step-by-step explanation:
All the equivalent fractions are:
1/2, 2/4, 4/8, 8/16, 5/10, 10/20, 6/12, and 3/6.
80 divided by 192.0!!!!!!!!!!!!!!!
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
A rare disease exists with which only 1 in 500 is affected. A test for the disease exists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease?
Answer:
The probability that the individual has the disease is 1/500
Step-by-step explanation:
i found the fraction of 1 in 500 which is 1/500, hope this helps :)
line k in the xy-plane has slope the negative of the fraction 2 p over 5 and y-intercept the point with coordinates 0 comma p, where p is a positive constant. what is the x-coordinate of the x-intercept of line k ?
The x-coordinate of the x-intercept of line k is -5/2.
Since this point lies on the x-axis, its y-coordinate is 0.
Given that the line has a y-intercept at the point (0, p), where p is a positive constant. This means that when x = 0, y = p.
As we know that the equation of the line can be written as y = mx + b, where m is the slope and b is the y-intercept.
Here, the slope is the negative of the fraction 2p/5, so the equation of line k is y = -2p/5 x + p.
Substitute y = 0 into the equation and solve for x:
0 = -2p/5 x + p
Subtract p from both sides and then multiply by 5/(-2p):
-2p/5 x = -p
x = (-p)(5/2p)
x = -5/2
Therefore, the x-coordinate of the x-intercept of line k is -5/2.
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Time (hours) 2 4 6 8
Distance (miles) 8 16 24 32
Is the linear relationship also proportional? Explain.
Yes, the constant of proportionality is 4.
Yes, there is no constant of proportionality.
No, the constant of proportionality is 4.
No, there is no constant of proportionality.
The linear relationship between time and distance can be considered proportional. The constant of proportionality in this case is 4.
In a proportional relationship, the ratio between the two quantities remains constant. Here, as time increases by 2 hours, the distance also increases by 8 miles. Let's calculate the ratio of distance to time for each pair of values:
For the first pair (2 hours, 8 miles):
Ratio = distance / time = 8 miles / 2 hours = 4 miles/hour
For the second pair (4 hours, 16 miles):
Ratio = distance / time = 16 miles / 4 hours = 4 miles/hour
For the third pair (6 hours, 24 miles):
Ratio = distance / time = 24 miles / 6 hours = 4 miles/hour
For the fourth pair (8 hours, 32 miles):
Ratio = distance / time = 32 miles / 8 hours = 4 miles/hour
As we can see, the ratio of distance to time remains constant at 4 miles per hour for all the pairs. This indicates a proportional relationship between time and distance.
Therefore, the linear relationship is also proportional, and the constant of proportionality is 4.
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A machine cell uses 196 pounds of a certain material each day. Material is transported in vats that hold 26 pounds each. Cycle time for the vats is about 2.50 hours. The manager has assigned an inefficiency factor of 25 to the cell. The plant operates on an eight-hour day. How many vats will be used? (Round up your answer to the next whole number.)
The number of vats to be used is 8
Given: Weight of material used per day = 196 pounds
Weight of each vat = 26 pounds
Cycle time for each vat = 2.5 hours
Inefficiency factor assigned by manager = 25%
Time available for each day = 8 hours
To calculate the number of vats to be used, we need to calculate the time required to transport the total material by the available vats.
So, the number of vats required = Total material weight / Weight of each vat
To calculate the total material weight transported in 8 hours, we need to calculate the time required to transport the weight of one vat.
Total time to transport one vat = Cycle time for each vat / Inefficiency factor
Time to transport one vat = 2.5 / 1.25
(25% inefficiency = 1 - 0.25 = 0.75 efficiency factor)
Time to transport one vat = 2 hours
Total number of vats required = Total material weight / Weight of each vat
Total number of vats required = 196 / 26 = 7.54 (approximately)
Therefore, the number of vats to be used is 8 (rounded up to the next whole number).
Answer: 8 vats will be used.
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A researcher interviews 6 widows about their marriages and notices how many cats are wandering around. Is there a significant relationship between the number of times an old widow was married and the number of cats the old lady owns? ( You don't need to do the math to calculate it - the Pearson r is given).
Times Married: 1 1 2 2 3 3
Cats Owned: 3 2 4 5 5 6
Pearson r = +.91
Write up the conclusion for this study in APA format and be sure to include the r2.
There is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).
Given, the Pearson correlation coefficient of +0.91,
There appears to be a strong +ve correlation between the number of cats she owns and the number of times an old widow was married.
It suggests that the more times a widow was married,the more cats she tends to own.
Approximately 82% of the variance in the number of cats owned can be explained by the number of times a widow was married is indicated by the coefficient of determination (r²).
Hence, we can say that there is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).
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Joel stands 15 meters away from the base of a
flagpole that is 11 meters tall. Joel's shadow is
2.7 meters long, and his shadow ends in the
same place as the flagpole's shadow (as shown).
How tall is Joel?
SHOW WORK. Round to two decimal places if necessary.
+
Answer: Its 28.7
Step-by-step explanation:
Answer:use camera math!
Step-by-step explanation:it helped me!it only works
On math though so you cant use it on any
Other subject hope this helped sorry
If it didn’t!
How do you write y - 5= 3(x - 4) in slope-intercept form?
1)
es
A)
y = 2x - 4
B)
y = 3x - 7
9
y = 2x - 17
D)
y=-3x + 7
Answer:
B) y = 3x - 7
Step-by-step explanation:
y=mx+b
isolate y
y=3x-12+5
y=3x-7
Answer: B (y=3x-7)
Step-by-step explanation:
The image below showcases a right triangle .
My questions:
What is a c, what does that represent
What is this problem asking for me
How do I solve this problem? Are there any formulas in place?
The perimeter of triangle is 66.24 units.
What is triangle?
In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane
Main body:
according to question :
c = 28
let the vertices be A,B,C
∠A= 30°
by using trigonometric ratios,
BC/ AB = sin30°
AB = C = 28
BC/28 = sin30°
BC = 28*sin30°
BC= 28*(1/2)
BC = 14
similarly
AB /CA = cos 30°
28/CA = √3/2
CA = 28*√3/2
CA = 14/√3
CA = 24.24
Hence , perimeter = AB +BC +CA = 28+14+24.24
=66.24 units
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Graph this parabola
Show all steps please!!!
In this case, the equation is in vertex form. To graph the parabola, we need to determine the y-intercept, x-intercept(s), and the vertex.
Vertex of Parabola:Vertex form: y = a(x + h)² - k
⇒ [y = 3(x + 2)² - 1] and [y = a(x - h)² - k] ⇒ Vertex: (h, k) ⇒ (-2, -1)X-intercept(s) of Parabola:Assume "y" as 0.
\(\implies 0 = 3(x + 2)^{2} - 1\)
\(\implies 1 = 3(x + 2)^{2}\)
Take square root both sides and simplify:
\(\implies\sqrt{1} = \sqrt{3(x + 2)^{2}}\)
\(\implies1 = \sqrt{3 \times (x + 2) \times (x + 2)}\)
\(\implies1 = (x + 2) \times \sqrt{3\)
Divide √3 both sides:
\(\implies \±\huge\text{(}\dfrac{1 }{\sqrt{3}} \huge\text{)} = (x + 2)\)
\(\implies \±\huge\text{(}\dfrac{\sqrt{1} }{\sqrt{3}} \huge\text{)} = (x + 2)\)
Multiply √3 to the numerator and the denominator:
\(\implies \±\huge\text{(}\dfrac{\sqrt{1} \times \sqrt{3} }{\sqrt{3\times \sqrt{3}}} \huge\text{)} = (x + 2)\)
\(\implies \±\huge\text{(}\dfrac{\sqrt{3} }{3}} \huge\text{)} = (x + 2)\)
\(\implies \±\huge\text{(}\dfrac{\sqrt{3} }{3}} \huge\text{)} - 2 =x\)
\(\implies x = \underline{-2.6...} \ \text{and} \ \underline{-1.4...} \ \ \ \ (\text{Nearest tenth})\)
Y-intercept of Parabola:Assume "x" as 0.
⇒ y = 3(0 + 2)² - 1⇒ y = 3(2)² - 1⇒ y = 3(4) - 1⇒ y = 12 - 1⇒ y = 11y-intercept = 11 ⇒ (0, 11)
Determining the direction of the parabola:Since the first cooeficient is positive (+3), the direction of the parabola will be upwards.
Determining the axis of symmetry line:Axis of symmetry line: x-coordinate of vertex
Axis of symmetry line: x = -2
Plot the following on the graph:
y-intercept ---> 11 -----> (0, 11)x-intercept(s) -----> -1.4 and -2.6 -------> (-1.4, 0) and (-2.6, 0)Vertex -------> (-2, -1)Axis of symmetry ----> x = -2Refer to graph attached.
Answer:
VertexVertex form of a quadratic equation:
\(y=a(x-h)^2+k\quad \textsf{where }(h,k)\:\textsf{is the vertex}\)
Given equation: \(y=3(x+2)^2-1\)
Therefore, the vertex is (-2, -1)
x-intercepts (zeros)The x-intercepts are when \(y=0\):
\(\implies 3(x+2)^2-1=0\)
\(\implies 3(x+2)^2=1\)
\(\implies (x+2)^2=\dfrac13\)
\(\implies x+2=\pm\sqrt{\dfrac13}\)
\(\implies x+2=\pm\dfrac{\sqrt{3}}{3}\)
\(\implies x=-2\pm\dfrac{\sqrt{3}}{3}\)
\(\implies x=\dfrac{-6\pm\sqrt{3}}{3}\)
Therefore, the x-intercepts are at -2.6 and -1.4 (nearest tenth)
y-interceptThe y-intercept is when \(x=0\):
\(\implies 3(0+2)^2-1=11\)
So the y-intercept is at (0, 11)
Plot the graphAs the leading coefficient is positive, the parabola will open upwards.Plot the vertex at (-2, -1)Plot the x-intercepts (-2.6, 0) and (-1.4, 0)Plot the y-intercept (0, 11)The axis of symmetry is the x-value of the vertex. Therefore, the parabola is symmetrical about x = -2
**You don't need to plot the axis of symmetry - I have added it so that it is easier to draw the curve**
If R2 is less than 1 Group of answer choices the regression analysis is incorrect. the probability of having the correct fit is very low. some observations do not lie on the regression line. the observation data is suspect.
R2 value less than 1 does not necessarily mean that the regression analysis is incorrect or that the observation data is suspect.
Rather, it suggests that there may be additional factors to consider when interpreting the results.
The statement "If R2 is less than 1, the regression analysis is incorrect" is not entirely true.
R2 is a statistical measure that indicates the proportion of the variance in the dependent variable that is explained by the independent variable(s). R2 values range from 0 to 1, where 0 indicates no correlation and 1 indicates perfect correlation.
If R2 is less than 1, it simply means that the independent variable(s) are not able to explain all of the variation in the dependent variable.
This does not necessarily mean that the regression analysis is incorrect.
In fact, it is common for regression analyses to have R2 values that are less than 1.
The key is to interpret the R2 value in conjunction with other statistical measures and to consider the research question being addressed.
Some possible implications of having an R2 value less than 1 might include:
The independent variable(s) have a weaker relationship with the dependent variable than anticipated.
There may be other factors that are influencing the dependent variable that are not accounted for in the regression analysis.
The sample size may be too small to detect a significant relationship between the independent and dependent variables.
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find a vector equation of the line tangent to the graph of r(t) at the point p0 on the curve r(t)= (3t - 1) i + 13t j + 16 k; P0(-1, 4)
Vector equation of the line tangent to the graph of r(t) at the point p0 on the curve r(t) = (3t - 1) i + 13t j + 4 k.
What is the vector equation at the point P0(-1, 4)?To find a vector equation of the line tangent to the graph of r(t) at the point P0 on the curve r(t) = (3t - 1) i + 13t j + 16 k, where P0 is given as (-1,4), we can use the following steps:
Step 1: Find the derivative of r(t) with respect to t:
r'(t) = 3 i + 13 j
Step 2: Evaluate the derivative at the point P0:
r'(-1) = 3 i + 13 j
Step 3: Use the point P0 and the vector r'(-1) to form the vector equation of the tangent line:
r(t) = P0 + r'(-1) t
where t is a scalar parameter.
Plugging in the values, we get:
r(t) = (-1)i + 4j + (3i + 13j)t
Simplifying, we get:
r(t) = (3t - 1) i + 13t j + 4 k
Therefore, the vector equation of the line tangent to the graph of r(t) at the point P0 on the curve
r(t) = (3t - 1) i + 13t j + 16 k is
r(t) = (3t - 1) i + 13t j + 4 k.
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A microbiologist is growing bacteria cultures in the lab. After 5 minutes, a bacteria colony has 1.3 million organisms. After 12 minutes, the same colony has 41.5 million organisms. After 15 minutes, the colony has grown to 101.3 million organisms. Is this a proportional or non-proportional relationship?
Answer: Non proportional
Step-by-step explanation:
To know if the values given are proportional or not, we will use the formula:
y = kx
where
y = number of organisms
x = number of minutes
k = constant of proportionality
After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx
1,300,000 = 5k
k = 1,300,000 / 5
k = 260,000
After 12 minutes, the same colony has 41.5 million organisms. Using y= kx
41,500,000 = 12x
x = 41500000 / 12
x = 3458333.8
After 15 minutes, the colony has grown to 101.3 million organisms.
y = kx
101,300,000 = 15k
k = 101,300,000 / 15
k = 6753333.8
It is a non-proportional relationship as the constant of proportionality is different for each.
The ratio of boys to girls in a class is 2:3 what fraction of the class are girls?
girls are 3 out of 5 (⅗)
Step-by-step explanation:
Boys : 2
Girls : 3
Tolat 5 people
there are 3 girls out of 5 kids
Hope this helped
Find the value of x. If necessary, round your answer to the nearest tenth.
The figure is not drawn to scale.
Answer:
69°
Step-by-step explanation:
Vertical Angles theorem states that any two opposite angles formed by two intersecting lines are the same.
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