The circumference of the circle with a radius of 16.8 cm is 105.504 cm
How to calculate the circumference?The given parameters are
Radius = 16.8 cm
As a general rule, radius are represented by the variable r
So, we have the following representation equation
r = 16.8 cm
The circumference of the circle is then calculated as
C = 2πr
Next, we substitute the value of the variable r in the above equation
i.e. r = 16.8 cm
So, we have the following equation
C = 2π * 16.8 cm
From the question, we have
π = 3.14
So, we have the following equation
C = 2 * 3.14 *16.8 cm
Evaluate the products
So, we have the following equation
C = 6.28 *16.8 cm
Evaluate the products
C = 105.504 cm
Hence, the circumference is 105.504 cm
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What is the slope of a line that is parallel to the line y = x 2?
help asap!!
Graph this function. f(x)=34x−2
use desmos graphing calcu
A coffee company surveyed 40 potential customers to see where they would
like the company's new organic coffee sold. Respondents were given the
following four locations and asked to choose as many as they liked: grocery
stores, drugstores, health food stores, and big box stores. The results are
summarized in the bar graph below, with the number of times each location
was chosen noted above the corresponding bar.
According to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.
We are given;
Total number of potential customers =40
From the bar graph number of respondents are following;
At grocery stores = 40
At drugstores respondents = 32
At health food stores = 8
At big box stores = 20
So,
The average number = Total number of respondents / Total number of potential customers
The average number = (40 + 32 + 8 + 20) / 40
The average number = (100) / 40
The average number = 2.5
Thus, according to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.
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Britney is buying a shirt and a hat at the mall. The shirt costs $30.70, and the hat costs $20.79. If Britney gives the sales clerk $100.00, how much change should she receive? (Ignore sales tax.)
Answer:
$48.51
Step-by-step explanation:
30.70+20.79 = 51.49
100-51.94 = $48.51
your welcome :)
Answer: $48.51
Step-by-step explanation:
If you add both $30.70 and $20.79, you would get $51.49. Then you subtract it from the $100 & you get a total of $48.51. So Britney is going to receive $48.51.
I need help like asap !!!
only numbers and decimal points
Now we have to,
→ find the required value of b.
Formula we use,
→ (AC)² = (BC)² + (AB)²
Then the value of b will be,
→ (10)² = b² + (6)²
→ 100 = b² + 36
→ b² = 100 - 36
→ b = √64
→ [ b = 8 ft ]
Hence, value of b is 8 ft.
Paul had two catches during his football game. On his first catch, he lost 12 yards. On his second catch, he gained 26 yards. How many total yards did Paul gain from both of these catches?
Paul gained a total of 14 yards from both the catches during his football game.
Given,
Paul had two catches during his football game.
Paul lost 12 yards on his first catch.
Paul gained 26 yards on his second catch.
We have to find the total yards Paul gain from both the catches;
Here,
Total gained yards by Paul = Gained yards by Paul - Lost yards by Paul
Total gained yards by Paul = 26 - 12
Total gained yards by Paul = 14 yards
That is,
Paul gained a total of 14 yards from both the catches during his football game.
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a rectangular floor that is 1010 feet wide and 1010 feet long is tiled with 170170 one-foot square tiles. a bug walks from one corner to the opposite corner in a straight line. including the first and the last tile, how many tiles does the bug visit?
While walking from one corner to the opposite corner in a straight line, the bug visits 19 tiles including the first and the last tile.
What exactly is a rectangle?A rectangle is a four-right-angle quadrilateral. A rectangle is a four-right-angle quadrilateral.. Because all of its angles are equal (360°/4 = 90°), it is also known as an equiangular quadrilateral or a parallelogram with a right angle. A non-square rectangle is sometimes referred to as an oblong.
A rectangle is a rectilinear polygon, meaning its sides intersect at right angles.
Five independent degrees of freedom define a rectangle in the plane.
The bug visits 1 tile multiplied by the number of times it crosses a horizontal or vertical line.
It has to cross nine horizontal and nine vertical lines. That bug must pay a visit.
9+9+1=19 tiles
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In the figure below, o ll m. Find the values of y and x.
The values of y and x is 117 degrees and 28 degrees.
Given:
o ll m
Let angle beside 63 is a.
63 + <a = 180
<a = 180 - 63
<a = 117 degrees.
y = 117 degrees (since alternate interior angles are equal)
y = 4x + 5(vertically opposite angles are equal)
117 - 5 = 4x
4x = 112
divide by 4 on both sides
x = 112/4
x = 28 degrees.
Therefore the values of y and x is 117 degrees and 28 degrees.
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at a local college, 35.1% of students major in business, 12.3% of students major in economics, and 2.6% of students major in business and economics. what is the probability that a randomly selected student majors in business or economics? (write your answer as a percent rounded to 1 decimal place.)
The probability that a randomly selected student majors in business or economics is 44.8%.
Describe the union set in probability?A set that contains every element in at least one of two sets is called a union of two sets. The union is denoted by the symbols A∪B or “A or B” A fresh batch that includes every element from both sets is created when two sets intersect. The intersection is denoted by the symbols A∩B or “A and B”.Let 'B' be the students of business.
P(B) = 35.1%
Let 'E' be the students of business.
P(E) = 12.3%
Thus,
P(E ∩ B) = 2.6%
P(E ∪ B) = probability for student majors in business or economics.
P(E ∪ B) = P(B) + P(E) - P(E ∩ B)
Put the values-
P(E ∪ B) = 35.1% + 12.3% - 2.6%
P(E ∪ B) = 44.8%
Thus, the probability that a randomly selected student majors in business or economics is 44.8%.
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Which equation represents a line which is perpendicular to the line y=2x-5y
Answer:
Step-by-step explanation:
y=-3x
I could be wrong, but I hope it helps at
Help Please!
Solve the inequality and graph it’s solution.
Answer:
A) m > -13
Step-by-step explanation:
[tex]-112-14m < 70\\-14m < 70+112\\-14m < 182[/tex]
[tex]\frac{-14m}{-14} < \frac{182}{-14}[/tex]
[tex]m > -13[/tex]
Hope this helps
at the end of 12 months, the owner determined that the average weekly sales of organic fruit displayed at the front of the store were greater than the average weekly sales of organic fruit displayed at the back of the store. the difference was statistically significant. what can be concluded from the study?
The 12 months past and the fruit turned into sonic the hedge hog #PERIODAHHPERIODUHH
Select the correct answer. There are three cell phone models in a store. When selecting a new cell phone, 25% of the customers choose model A, 33% choose model B, and 32% choose model C. The remaining customers buy from an old collection on which the average profit is $50. If the average profit earned on models A, B, and C is $60, $75, and $40, respectively, what is the expected value of the profit earned on all models?
Given the average profits on the different cell phone models, the expected value of profit to be earned on all models is $57.55
How to find the expected value?The expected value of the profit on these models of cell phones can be found based on the number of customers who choose the model and the profit of that model.
The expected value of the profit on all the models is:
= ∑ ( percentage of customers x Profit per model)
= (Percentage of customers model A x Profit from model A) + (Percentage of customers model B x Profit from model B) + (Percentage of customers model C x Profit from model C) + (Percentage of customers old collection x Profit from old collection)
= (25% x 60) + (33% x 75) + (32% x 40) + ( (1 - 25% - 33% - 32%) x 50)
= $57.55
Options for this question are:
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How can you earn a high credit score?
A. After ten years of never making any payments or having loans.
B. After you have made your first credit card payment.
C. When you turn thirty years old.
D. Over time by paying off your loans and making payments on time.
Answer:
The correct answer is D because Option A won't work neither will option B because a long credit history will help ur credit score, C isn't right either
For what value of X is Y= 4 a solution to the equation X-2 =XY+16
If x=-3 and y =2 , then x^y +xy^=?
a) The value of x is -6
b) The value of the expression is -3 .
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
a) x-2=xy+16
y= 4 a solution to the equation
Substitute y=4 into the equation.
x-2=x(4)+16
x-2=4x+16
-2-16=4x-x=3x
-18=3x
x=- 18/3= -6
The value of x is -6
b) [tex]x^y+xy^2[/tex]
substitute x= -3 and y =2
(-3)²+(-3)(2)²
= 9 - 12
= -3
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In a recent court case it was found that during a period of 11 years people were selected for grand jury duty and % of them were from the same ethnicity. Among the people eligible for grand jury duty, % were of this ethnicity. Use a significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, p-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the p-value method and the normal distribution as an approximation to the binomial distribution.
The Null and Alternative hypothesis are
Hₒ: π= 0.79
Hₐ: π > 0.79
Statistic Z = -26.38
P-value = 0
Conclusion : The null hypothesis is
rejected .
Final Conclusion : which implies that population proportion is different from
π= 0.79.. This sample proportion can notbe product of chance.
There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.
We have problem of proportion and we have to apply hypothesis testing in it .
We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .
Null and Alternative hypothesis are
Hₒ: π= 0.79
Hₐ : π> 0.79
The significance level is 0.01
The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42
The standard error is
σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014
Then we can calculate Z – value
Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387
P-value for this test statistic is 0
P-value (z<-26.38)= 0
P-value = 0 < 0.01
As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79
This sample proportion can not be product of chance.
There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.
#Complete Question:
In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?
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Evaluate if x³ if x = 6
This is a quiz but I was sick so I do now to do this pls show work
Answer:
Step-by-step explanation:
Answer: 108
Step-by-step explanation:
6 x 6 x 6=10
Solve the system by substitution.
Answer:
(-7, -7)
Step-by-step explanation:
y = x; x = y
9x - 2y = -49
9(y) - 2y = -49
9y - 2y = -49
7y = -49
÷7 ÷7
----------------
y = -7
y = x
-7 = x
or
9x - 2y = -49
9x - 2(-7) = -49
9x + 14 = -49
-14 -14
-------------------
9x = -63
÷9 ÷9
---------------
x = -7
(-7, -7)
I hope this helps!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet
The function is given that
h(t) = + 40t + 7
Where h is the height
t is the time taken
We know
[tex]-16t^2[/tex] + bx + c = 0
Compare the equations
a = -16
b = 40
c = 7
Compare both the equation
Time taken to reach maximum height = - b/2a
= - 40/2(-16)
= - 40/-32
= 5/4
= 1.25 seconds
Time taken to reach maximum height is t = 1.25 seconds
Substitute the value of t in the function to find the maximum height
h(1.25) = -16× + 40(1.25) + 7
= -25 + 50 + 7
= 32 feet
Hence, the time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet
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Pls help, due tomorrow!!!!!
Answer:
try -1 it's easier to get the question answered so it can be turned in
Solve the inequality for x and identify the graph of its solution.
4|x + 2| < 8
Solution of the inequality 4|x + 2| < 8 is given by x > -4 and x<0.
Solution from the given graph is option B where open interval x<0 and open interval x > -4 is shown.
As given in the question,
Given inequality is :
4|x + 2| < 8
Divide by 4 both the side of inequality we get,
⇒(4|x + 2|)/ 4 < 8/4
⇒|x+2| < 2
⇒ (x+2) < 2 or (x+2) >-2
⇒ x< 2-2 or x > -2 -2
⇒ x < 0 or x > -4
Solution of its graph is shown by option B number line where open interval -4 is greater than and less than open interval 0.
Therefore, solution of the inequality 4|x + 2| < 8 is given by x > -4 and x<0.
Solution from the given graph is option B where open interval x<0 and open interval x > -4 is shown.
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find the slope of (-4,-4), (-1, 14)
Answer:
6
Step-by-step explanation:
slope = m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
put values and find answer:
[tex]=\frac{14+4}{-1+4}[/tex]
= [tex]\frac{18}{3}[/tex]
= [tex]6[/tex]
Write as a single power of 11 ( 11 − 9 ) 3
The expression (11^(-9))³, as a single power of 11, using the power of power exponential property, is given as follows:
11^(-27).
What is the power of power exponential property?
The power of power exponential property is used when a base is elevated to multiple exponents. Then the number can be written as a single power of the base multiplying the exponents.
The general format of this property is:
(a^b)^c = a^(b x c).
In which the base and the exponents are given as follows:
The base is of a.The exponents are of b and c.In this problem, the expression is:
(11^(-9))³
The multiplication of the exponents is:
-9 x 3 = 27.
Hence the expression as a single power of 11 is given as follows:
11^(-27).
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I am stuck on the last part can u please help me?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
66.6% = 0.6666... = [tex]\frac{2}{3}[/tex]
Answer:
Fraction = 2/3
Step-by-step explanation:
Given information,
→ Percentage = 66.6%
→ Decimal = 0.6
→ Fraction = ??
Then the required fraction is,
→ Percentage ÷ 100
→ 66.6/100
→ 2/3
Hence, the fraction is 2/3.
given f(x) =2x^2+5, evaluate f(4)
Answer:
f(4) = - 27
Step-by-step explanation:
substitute x = 4 into f(x) , that is
f(4) = - 2(4)² + 5 = - 2(16) + 5 = - 32 + 5 = - 27
Answer:
69
Step-by-step explanation:
Replace x with 4
-2(4)^2 +5
-8^2+5
64+5
69
2000*5/100 pls help me
Answer:
100
Step-by-step explanation:
2000*5 = 10000/100 = 100
Describe a data set that has an outlier. How does the outlier affect the residual? Explain.
A data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.
What is a data set?A data set is a group of related data. In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable.Data set with an outlier:
In a data graph or dataset, you're dealing with, an outlier is a data point that is wildly high or wildly low in comparison to the closest data point and the rest of the nearby coexisting values. Outliers are extreme values that significantly deviate from the dataset's or graph's normal distribution of values.Observed data points that deviate greatly from the least-squares line are known as outliers. They have significant residuals, which are measured as the vertical separation between the line and the point. It is important to carefully investigate outliers. Sometimes, for a variety of reasons, they ought to be excluded from the data analysis.Therefore, a data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.
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explain the difference between the types of inference that can be made as a result of random sampling and random assignment.
Since random sampling is representative of the entire group, conclusions about the population can be drawn from it. Since random assignment reduces variability, conclusions about cause and effect are possible.
What is random sampling?Random sampling is a sampling method where each sample has an equal chance of being chosen. It is the goal of a randomly chosen sample to fairly represent the entire population. A straightforward random sample might be 25 names chosen at random from a pool of 250 employees. The sample in this case is random, and the population in this case is the entire pool of 250 employees because each employee has an equal chance of being chosen.
What is random assignment?Cause and effect can only be proven with absolute certainty through an experimental study utilizing random assignment. In a study with random assignment, for example, the experimental group receives the medication while the control group does not in order to see if the drug cures the patient.
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2 1. The drama teacher is making bandanas for costumes. She is cutting yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana. (Example 1)
The equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, the equation to get fabric used in each bandana:
Fabric cutting out to make 6 bandanas is 1/2 yards.Then, the fabric in each bandana will be:
1/2 ÷ 6 = xSolve as follows:
1/2 ÷ 6 = x1/2 × 1/6 = x1/12 = xSo, 1/12 yards of fabric is used in each bandana.
Therefore, the equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].
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Complete question:
The drama teacher is making bandanas for costumes. She is cutting 1/2 yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana.
an inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 5 cm, and the height is 9 cm. find the rate at which the water level is rising when the water level is 2 cm.
The rate at which the water level is rising when the water level is 5 cm is;
dh/dt = 1.6 cm/s
What is a PYRAMID?A structure with triangle outside surfaces that converge to a single step at the summit is referred to as a pyramid (from Greek: pyrams)]. This shape is roughly a pyramid in the geometric sense. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has at least three triangular exterior surfaces (at least four faces including the base). A typical variation is the square pyramid, which has a square base and four triangular exterior surfaces.Because a pyramid is built with the pyramidion at the top and the remainder of the weight closer to the ground[3], less material will be pressing down from above. Early civilizations could build stable structures thanks to this weight distribution.Acc to our question-
length of square side; s = 4 cmheight of pyramid; h = 8 cmvolumetric rate; dV/dt = 30 cm³/sSince the base is square shaped and we know that area of a square = s², then we can say that;Volume of pyramid = ¹/₃s²hThe pyramid has a height of 8 cm and length of its' square base side is 8 cm.Now, regardless of the water height, the surface of the water will always be square shaped. This implies that the ratio of the height to the top side of square will always be the same. Thus, we can say that; s = 4/8 h = h/2Thus, Volume is;V = ¹/₃ × (h/2)² × hV = ¹/₃ × h³/4V = h³/12dV/dt = (3h²/4) dh/dtPlugging in the relevant values gives;30 = (3 × 5²/4) dh/d120 = 75 dh/dtdh/dt = 120/75dh/dt = 1.6 cm/sHence,The rate at which the water level is rising when the water level is 5 cm is; dh/dt = 1.6 cm/s
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