Answer:
(a) 3800
(b) 7000
(c) Does unit mean ones place? 31
(d) 82.8
(e) 1000
(f) 0.48
Step-by-step explanation:
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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A population of bacteria has an average growth rate of 7%. The formula for the growth rate of the bacteria's population is A=P0 x 1,07^t, where is P0 is the original population and t is time in days. if you begin with 50 bacteria, about how many bacteria will be there be after 2 weeks? (round to the nearest whole number)
Step-by-step explanation:
be straight forward in the question
6. Torrence wants to remodel his studio apartment. The first thing he is going to do is replace the
floors in the living space and kitchen (not the closet or bathroom)
24
Living Space
101
200
31
71
38
closet
HD
kitchen
bathroom
61
a How many square feet of flooring will Torrence need to buy?
Torrence needs to buy 468 square feet of flooring for his remodeling project.
To calculate the total square feet of flooring needed, we first need to find the area of the living space and the kitchen. The dimensions given for the living space are 24x10, while the kitchen dimensions are 12x13.
1: Calculate the area of the living space.
Area = Length x Width
Area = 24 x 10
Area = 240 square feet
2: Calculate the area of the kitchen.
Area = Length x Width
Area = 12 x 13
Area = 156 square feet
3: Add the areas of the living space and kitchen to find the total square footage.
Total Area = Living Space Area + Kitchen Area
Total Area = 240 + 156
Total Area = 468 square feet
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the relationship between the actual air temperature x (in degrees fahrenheit) and the temperature y adjusted for wind chill (in degrees fahrenheit, given a 30 mph wind) is given by the following formula:
The relationship between the actual air temperature (x) and the temperature adjusted for wind chill (y) is given by the following formula:
y = 35.74 + 0.6215x - 35.75(v^0.16) + 0.4275x(v^0.16)
where:
- y is the temperature adjusted for wind chill (in degrees Fahrenheit)
- x is the actual air temperature (in degrees Fahrenheit)
- v is the wind speed in miles per hour
To calculate the temperature adjusted for wind chill (y), you need to substitute the values of x (actual air temperature) and v (wind speed) into the formula and simplify the equation.
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First, rewrite the equation so that it is expressed in the form then, take the appropriate arc function, and obtain the _____________ solution, as one possible value for angle. next, find the _______________ solution, which would be _______ for sine, _______ for cos, and _____ for tan, in terms of the angle found in step 2 finally, find all ____________ solutions, by adding an arbitrary ___________ multiple of ______ for sine and cosine, or _____ for tangent.
Given the equation as :cos(θ) = -0.4First, let's rewrite the equation so that it is expressed in the form sin(θ) or tan(θ).The Pythagorean identity can be used to rewrite it in the form of sin(θ). sin^2(θ) + cos^2(θ) = 1 ⇒ sin^2(θ) = 1 - cos^2(θ)Now, let's substitute the given equation into it to find sin(θ).
\(sin^2(θ) = 1 - cos^2(θ) = 1 - (-0.4)^2 = 1 - 0.16 = 0.84\) Taking the square root of both sides, sin(θ) = ± √0.84Using the appropriate arc function, we get the principal solution as follows.
\(θ = arc sin(±√0.84) ≈ 56.31° and θ = 180° - 56.31° = 123.69°\) The other possible solutions for sine are obtained by adding any integer multiple of 360° to the principal solution. θ = 56.31° + 360°k, and θ = 123.69° + 360°k, where k is any integer.
Now, let's find the other solutions in terms of the angle found in step 2. \(tan(θ) = sin(θ)/cos(θ) = (±√0.84)/(-0.4)cos(θ) = -0.4,\) which is negative and lies in the third quadrant where both sine and tangent are also negative. Therefore, the other solutions are \(θ = 180° + 56.31° = 236.31° and θ = 180° + 123.69° = 303.69°.\) Finally, the general solutions are obtained by adding any integer multiple of 360° to the corresponding principal or non-principal solutions.
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Using the function in example one, what is the y value (output) when x=4?
Answer:
-7
Step-by-step explanation:
Using the formula given above, just put in 4 and replace x. It will give you an answer of -7
2-What is the difference between a type I error and a type II error? Please cite some examples.
3-What types of statistical analyses are applied to the data collected in the research study? Please cite some examples.
Type I error refers to rejecting a true null hypothesis, while Type II error refers to failing to reject a false null hypothesis. Types of statistical analyses include descriptive statistics, inferential statistics, correlation analysis, regression analysis, etc.
Type I error is a false positive, and Type II error is a false negative. Examples of Type I errors include convicting an innocent person in a criminal trial and rejecting a new drug that is actually effective. Examples of Type II errors include failing to convict a guilty person in a criminal trial and accepting a new drug that is actually ineffective.
Various statistical analyses can be applied to the data collected in research studies, depending on the research question and the type of data. Some common types of statistical analyses include descriptive statistics, inferential statistics, correlation analysis, regression analysis, t-tests, analysis of variance (ANOVA), and chi-square tests. Descriptive statistics are used to summarize and describe the characteristics of the data, while inferential statistics are used to draw conclusions and make inferences about the population based on sample data. Correlation analysis examines the relationship between two or more variables, regression analysis explores the relationship between a dependent variable and one or more independent variables, t-tests compare means between two groups, ANOVA analyzes differences among three or more groups, and chi-square tests examine the association between categorical variables.
Type I error, also known as a false positive, occurs when we reject a null hypothesis that is actually true. This means we conclude that there is a significant effect or relationship when there is none in reality. For example, in a criminal trial, a Type I error would be convicting an innocent person. Another example is rejecting a new drug that is actually effective, leading to the rejection of a potentially beneficial treatment.
On the other hand, a Type II error, also known as a false negative, occurs when we fail to reject a null hypothesis that is actually false. In this case, we fail to detect a significant effect or relationship when one exists. For instance, in a criminal trial, a Type II error would be failing to convict a guilty person. In the context of medical testing, a Type II error would occur if we accept a new drug as ineffective when it is actually effective, resulting in the approval of an ineffective treatment.
Various statistical analyses can be applied to research study data depending on the research question and the type of data collected. Descriptive statistics are used to summarize and describe the characteristics of the data, such as measures of central tendency (e.g., mean, median) and variability (e.g., standard deviation, range). Inferential statistics are used to make inferences and draw conclusions about the population based on sample data, such as hypothesis testing and confidence interval estimation.
Correlation analysis examines the relationship between two or more variables and determines the strength and direction of their association. Regression analysis explores the relationship between a dependent variable and one or more independent variables, allowing us to predict the value of the dependent variable based on the independent variables.
T-tests are used to compare means between two groups, such as comparing the average test scores of students who received a specific intervention versus those who did not. Analysis of variance (ANOVA) analyzes differences among three or more groups, such as comparing the performance of students across different grade levels.
Chi-square tests examine the association between categorical variables, such as analyzing whether there is a relationship between gender and voting preference. These are just a few examples of the statistical analyses commonly applied to research study data, and the specific choice of analysis depends on the research question and the nature of the data.
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Which linear inequality is represented by the graph?
Answer:
your photo is not clear
Answer:
The answer is A
To find out the answer, substitute 0 into x and find the value of y. If the value of y is same wlike in the graph, then the equation is correct.
Thank you and please rate me as brainliest as it will help me to level up
5 in
13 in
12 in
4 in
What is the surface area of this shape?
The surface area of this shape is, 180 cm²
Since, Surface area of any Prism = P H + 2 B
P= Perimeter of base
H= Height of prism
B= Base Area
As, prism is Right triangular Prism, having side lengths, 5 cm ,12 cm and 13 cm, and Height = 4 cm.
Hence, Perimeter of Base which is in the shape of triangle = 5 +12 +13
=30 cm
Area of Right triangle, having Altitude and Base =5 cm and 12 cm
= 1/2 x 5 x 12
= 30
So, Surface Area of Prism = 30 × 4 +2 ×30
= 120 +60
= 180 cm²
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A quantity with an initial value of 620 grows continuously at a rate of 0.3% per second. What is the value of the quantity after 0.5 minutes, to the nearest hundredth?
Answer:
678.39
Step-by-step explanation:
For this we should probably use the formula A = Pe^rt. The question says that the value grow "continuously" which is our hint that we should use A = Pe^rt rather than A = P(1 +r/n)^nt. Our P = 620 as it is our initial value. e is a constant approx = 2.718. r is our rate, so 0.3% = 0.003, and our t will be in seconds. We need to figure out how many seconds are in .5 minutes, so 30, and that means our t will = 30. Let's plug these in. 620e^(0.003 * 30) = A. This will give us our answer which when rounded to the hundredths = 678.39.
Hope this is helpful.
helpppp yall
x^2 −17x+72
Answer:
(x−9)(x−8)
Step-by-step explanation:
Consider the form
x2+bx+c. Find a pair of integers whose product is
c and whose sum is b
. In this case, whose product is 72
and whose sum is −17.−9,−8
Write the factored form using these integers.(x−9)(x−8)
Write the slope intercept form of the equation for each line
The equation of the line in slope-intercept form is: y = -4/5x - 8/5.
How to Write the Slope-intercept Form Equation of a Line?Using two points on the line, say, (-2, 0) and (3, -4), follow the steps below to find the equation of the line:
Step 1: Find the slope of the line
Slope (m) = (-4 - 0)/(3 -(-2))
Slope (m) = -4/5
Step 2: Find the y-intercept (b)
Substitute m = -4/5 and (x, y) = (-2, 0) into y = mx + b
0 = -4/5(-2) + b
0 = 8/5 + b
0 - 8/5 = b
b = -8/5
Step 3: Substitute m = -4/5 and b = -8/5 into y = m + b
y = -4/5x - 8/5
Thus, the equation of the line in slope-intercept form is: y = -4/5x - 8/5.
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What is the circumference of a circle whose radius is 20 feet. Leave awnser in terms of pi
Answer:
40π
Step-by-step explanation:
cricumference: 2πr (or πd)
2π(20) = (40)π ≈ 125.66
Answer: 40
Step-by-step explanation:
First, you have to multiply the radius by 2 which gives us 40. Then, 40 x 3.14 (pi) = 125.6 After, you divide 125.6 by 3.14 which once again gives you 40. :)
Which number is equivalent to the fraction 18/5
A. 3 3/5
B. 2 8/5
C. 5/18
D. 3
Answer:
The answer is A. 3 3/5 and B. 2 8/5
:D
explanation:
It couldn't be 5/18 because that is less than the fraction
And it could not be 3 because 5 (the denominator) times 3, is not 18 (numerator), it is 15.
SO.... now that we narrowed those answers down we have to look at the mixed fractions..
3 3/5 into an improper fraction would be 18/5 because 3/5 is 15, plus 3 is 18.
2 8/5 into an improper fraction would be 18/5 because 2x5 is 10, plus 8 is 18.
therfore A and B are your answers, hope this helps!
Sorry for answering like, 3 years late Hahaha.
Based on the side lengths alone, could the triangles be similar? 16.0 cm R 6.4 cm 3.0 cm 15.0 cm S T 6.0 cm X 7.5 cm U
No, the side are not proportional.
Yes, the sides are in the ratio 2:5.
yes, the sides are in the ratio 4:5.
Yes, the sides are in the ratio 1:5.
Answer:
Yes, the sides are in the ration 2:5!
Step-by-step explanation:
Hope this helps.
Answer:
The correct answer is B. Yes, the sides are in the ratio 2:5.
Step-by-step explanation:
Hope this helps, and have a wonderful day! :)
Help me solve 5x+6-3x+2=12
Answer:
x = 2
Step-by-step explanation:
Solve for x
5x - 3x + 6 + 2 = 12
2x + 8 = 12
2x = 12 - 8
2x = 4
x = 2
I have 30 eggs, I broke ten, I sold five, I cook ten, and I fry ten. How many are remaining?
Answer:
Step-by-step explanation:
ER=(5) [A single,1-tuple]. You start with 30 eggs. After selling 5 eggs, cooking 10, and frying 10 eggs 5 eggs remain.
PREMISES
ER=(E-S)-(C+F)
ASSUMPTIONS
Let E=the number of eggs at the start (30)
Let S=the number of eggs that were sold (5)
Let C=the number of eggs that were “cooked” i.e., hard-boiled, poached, and so forth (10)
Let F=the number of eggs that were fried (10)
Let ER=the number of eggs that remain having not been sold, cooked, or fried
CALCULATIONS
ER=(E-S)-(10+10)
ER=(30–5)-(20)
ER=25–20
ER=
5 eggs
PROOF
If ER=5, then the mathematic sentence ER=(E-S)-(C+F) returns
ER=(30–5)-(C+F)
5=25-(10+10)
5=25–20 and
5=5 verifies the result ER=5 of the sentence
Find the measure of < FGE
Answer: 62°
Step-by-step explanation:
Exterior angle property.
130 = 16x + 4 + 14x + 6
130 = 30x + 10
30x = 120
x = 4
Therefore, ∠FGE = 14 x 4 + 6 = 62°
Cheers!
Find the area of the regular polygon with the given apothem a and side length s. decagon, a = 13 m, s=8.4 m what is the area
546 square meters is the area of a decagon having a side length of 8.4 metres and an apothem of 13 metres.
Regular polygons are those in which the inner angles and sides are all equal. Squares serve as instances of regular polygons.
You can use the following formula to determine the area of a regular polygon:
Area is equal to (Perimeter x Apothem) / 2.
Finding the decagon's perimeter is the first step (a polygon with 10 sides). To achieve it, multiply the number of sides by the sum of their lengths:
Radius = 10 * s = 10 * 8.4 = 84 meters
Next, add the perimeter and the apothem to the formula:
Area = (84 * 13) / 2 = (1092) / 2 =\(546 m^2\)
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1. Christy likes to drive a little fast, generally just 10-15 miles over speed limit. Because she has
received three speeding tickets, her insurance rates have increased. What can Christy do to lower
her premiums?
Answer:
below
Step-by-step explanation:
There are several things that Christy can do to lower her insurance premiums despite receiving three speeding tickets:
1. Improve her driving habits:
Christy can try to be more careful and avoid speeding in the future. If she can maintain a clean driving record for a certain period of time, her insurance rates may decrease.
2. Take a defensive driving course:
Many insurance companies offer discounts to drivers who take a defensive driving course. Christy can take a course to improve her driving skills and qualify for a discount.
3. Increase her deductible:
By increasing her deductible, Christy can lower her insurance premiums. However, this means that she will have to pay more out of pocket if she gets into an accident.
4. Shop around for better rates:
Christy can compare insurance rates from different companies to find a better deal. She may be able to find a company that offers lower rates despite her previous speeding tickets.
5. Consider dropping coverage: If Christy has an older car, she may want to consider dropping collision coverage to save money. This means that she will have to pay for any damages to her own car out of pocket, but it may be worth it if the savings on her premiums are significant.
Which property of equality was used to solve this equation?
–5x=4
4
I=
OA.
addition property of equality
OB.
subtraction property of equality
OC. multiplication property of equality
OD
division property of equality
Answer:
D. division property of equality
Step-by-step explanation:
The division property of equality tell us basically to divide an equation, we have to divide on both sides.
-5x=4
to isolate x, we would divide -5 on both sides and that would be
-5x/5=4/-5
making x= -4/5, thus make D the correct answer choice
According to a recent survey of 1,001 adult Canadians, of respondents do not want to be unionized 27 percent 54 percent 19 percent 35 percent (E) 77 percent
According to a recent survey of 1,001 adult Canadians, 27 percent of respondents indicated that they do not want to be unionized.
The survey of 1,001 adult Canadians asked respondents about their preference regarding unionization. Out of the total respondents, 27 percent expressed that they do not want to be unionized. This percentage represents the proportion of individuals who indicated a lack of interest or desire to be part of a labor union.
It is important to note that without additional information about the survey methodology, sample representation, and any potential biases, the result should be interpreted within the context of the survey's limitations. The percentage obtained from the survey reflects the preferences of the respondents in the sample but may not necessarily represent the opinions of the entire population of adult Canadians.
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15 point hurry
In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = two-thirds x squared + 3
a.
a = 0, b = two-thirds, c = 3
b.
a = two-thirds, b = 0, c = 3
c.
a = 0, b = 3, c = two-thirds
d.
a = two-thirds, b = two-thirds, c = 3
Given:
\(y=\dfrac{2}{3}x^2+3\)
This equation is in the form \(y=ax^2+bx+c\).
To find:
The values of a, b and c.
Solution:
We have,
\(y=\dfrac{2}{3}x^2+3\)
It can be written as
\(y=\dfrac{2}{3}x^2+(0)b+3\)
On comparing this equation with \(y=ax^2+bx+c\), we get
\(a=\dfrac{2}{3},b=0,c=3\)
Therefore, the correct option is b.
The value of y is directly proportional to the value of x. If y = 25 when x = 120, what is the value of y when x = 72?
Step-by-step explanation:
y directly proportional to X
y=kx
when k is constant
y is 25 and X is 120
25=k120
divide both sides by 120
25/120
k=25/120
there fore the law connecting is 25/120
what is the value of y when x = 72? 25/120*72=3
therefore y is 3
y= 2x-1 is a tangent to y=x^2. Name the point of tangency,
Answer:
Point of tangency is \(x=1\) or \((1,1)\)
Step-by-step explanation:
You don't really need to use Calculus here. You can just set each equation to each other and solve for x (the point of tangency):
\(x^2=2x-1\)
\(x^2-2x+1=0\)
\((x-1)(x-1)=0\)
\(x=1\)
Therefore, the point of tangency is \(x=1\) or \((1,1)\)
Ridgewood Savings Bank charges a $27 per check overdraft protection fee. On July 8, Nancy had $1,400 in her account. Over the next 4 days, the following checks arrived for payment at her bank: July 9, $1,380.15; July 10, $670 and $95.67; July 11, $130; and July 12, $87.60.
How much will she owe the bank after July 12?
If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.
What is total obligation?Total obligation can be defined as the amount a person owe another person or the debt amount a borrower is expected to payback to a lender.
Balance $1,400
July 9 check ($1,380.15)
Balance $19.85
July 10 check ($765.67)
($670 + $95.67)
Balance -$745.82 (Overdraft)
Now let find the amount she owe
Balance -$745.82
July 11 check $130
Balance -$875.82
July 12 check $87.60
Ending balance -$963.42
Overdraft fee $108
($27 ×4)
Total obligation -$1,071.42
Therefore her total obligation is $1,071.42.
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✓ 1234Graph the set {xx2-1) on the number line.Then, write the set using interval notation.-7-6-5-4-3-2-11 2 3{x|x ≥-1}=045 6(0,0)
Given set: x greater than or equal to -1
The interval includes -1 and all the values greater than -1, to graph it put a full point in the -1 and draw an arrow to the the right of -1:
Interval notation:\(\lbrack-1,\infty)\)Juan texts 20 messages in 5 minutes. At this rate how many text messages can he send in 30 minutes
The answer 120 MESSAGES
To win the recycling contest, you must collect between 83 and 87 pop tabs each week, inclusive. Suppose you collected 82, and, 84 pop tabs during the first two weeks of competition. Write and solve a compound inequality to find the possible values for the number of pop tabs that need to be collected during the third and final week of the competition in order to win the contest.
As per the compound inequality, the possible values for the number of pop tabs that need to be collected during the third and final week of the competition in order to win the contest is 83 ≤ (82 + 84 + n)/3 ≤ 87; 83 ≤n ≤ 95.
Compound inequality:
A compound inequality is an inequality that merges two inequalities either by using "and" or "or".
Given,
In the recycling contest, you must collect between 83 and 87 pop tabs each week, inclusive for winning.
And suppose you collected 82, and, 84 pop tabs during the first two weeks of competition.
Here we nee to find the possible values for the number of pop tabs that need to be collected during the third and final week of the competition in order to win the contest.
Let us consider n be the number of pop tabs.
So, it can be written using the compound inequality,
=> 83 ≤ (82 + 84 + n) /3 ≤ 87
To cancel the fraction we have to multiply 3 with all of them, then we get,
=> 83 x 3 ≤ (82 + 84 + n) ≤ 87 x 3
=> 249 ≤ (166 + n) ≤ 261
To find the value of n we have to subtract 166, then we get,
=> 249 - 166 ≤ n ≤ 261 - 166
=> 83 ≤ n ≤ 95
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when a positive integer is expressed in base 7, it is $ab 7$, and when it is expressed in base 5, it is $ba 5$. what is the positive integer in decimal?
17 is the integer expressed in base 10.
Given that,
The base 7 representation of a positive integer is AB and its base 5 representation is BA, where A and B are digits from 1 to 4, inclusive.
We have to find what is the integer expressed in base 10.
We know that,
Base 7 representation of a positive integer AB.
Can be written as 7A+B in base 10.
Base 5 representation of BA can be written as 5B+A in base 10.
So, 7A+B= 5B+A
6A=4B
A=2/3B
Now, A and B must be in 1 to 4.
The digits between 1 and 4 who are 2/3 of another is 2 and 3.
A=2 and B=3
So,
Base 7 is 23
And Base 5 is 32
Base 7 is 23 is 17 of base 10.
And Base 5 is 32 is 17 of base 10.
A=17
Therefore, 17 is the integer expressed in base 10.
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