Answer:
52
Step-by-step explanation:
The dimension of the pool that Sam needs to build a fence is 23.75 ft and 76.25 ft.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.
Sam needs to build a fence around his pool.
The pool and the sidewalk around it have a distance of 200 feet, so the perimeter of the fence needs to be at least 200 feet.
The length of the fence is five more than three times the width. That is
L = 3W + 5
Then by the formula of the perimeter.
\(\rm P\ \ = 2(L+W)\\\\200 = 2(3W + 5 + W)\\\\100 = 4W + 5\\\\9\ 5 = 4W\\\\W \ = 23.75\)
Then the length will be
L = 3(23.75) + 5
L = 71.25 + 5
L = 76.25 ft
Thus, the dimension of the pool that Sam needs to build a fence is 23.75 ft and 76.25 ft.
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PLEASE HELP The diameter D of a sphere is 19 m. Calculate the sphere's surface area A.
Use the value 3.14 for at, and round your answer to the nearest tenth.
Answer:
A = 1,133.5 m³
Step-by-step explanation:
Surface area of a sphere, A = 4πr²
π = 3.14
Radius, r = diameter / 2
= 19 m / 2
= 9.5 m
Surface area of a sphere, A = 4πr²
A = 4 * 3.14 * (9.5)²
= 4 * 3.14 * 90.25
= 1,133.54
A = 1,133.54 m³
To the nearest tenth
A = 1,133.5 m³
mathematical procedures used to assume or understand predictions about the whole population, based on the data collected from a random sample selected fom the population, are called
The answer of the given question is inferential statistics.
The mathematical procedures used to assume or understand predictions about the whole population, based on the data collected from a random sample selected from the population, are called inferential statistics.
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The mathematical procedures used to assume or understand predictions about the whole population based on data collected from a random sample selected from the population are called statistical inference techniques.
Statistical inference involves drawing conclusions, making predictions, and testing hypotheses about population parameters based on sample data. These techniques include methods such as estimation, hypothesis testing, confidence intervals, and regression analysis.
By using statistical inference, we can generalize findings from the sample to make inferences about the larger population, allowing us to make informed decisions and draw meaningful conclusions based on the available data.
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Convert 5 days into weeks. Round your answer to the nearest hundredth.
*Note: you must use these exact conversion factors to get this question right.
1 minute (min) = 60 seconds (sec) 1 week (week) = 7 days (days)
1 hour (hr) = 60 minutes (min)
1 month (month) = 30 days (days)
1 day (day) = 24 hours (hr)
1 year (year) = 365 days (days)
Answer:
weeks
Answer:
0.71 weeks
Step-by-step explanation:
To convert 5 days to weeks, we can use the conversion factor:
1 week = 7 days
Therefore, we have:
5 days = 5/7 weeks
Rounding to the nearest hundredth, we get:
5 days ≈ 0.71 weeks
Therefore, 5 days is approximately equal to 0.71 weeks.
I BET NO ONE KNOWS THIS How many moles of helium are in 3.5 x 10^22 atoms of helium? _______ mol He
Answer:
Step-by-step explanation:
0.226 gram.
Two similar cylindrical cans hold 2 litres and 6.75 litres of liquid. If the diameter of the smaller can is 16cm, find the diameter of the larger can.
Step-by-step explanation:
It is given that,
Volume of the cylindrical can 1 is 2 litres and that of cylindrical can 2 is 6.75 litres. The diameter of the smaller can is 16 cm. We need to find the diameter of the larger can.
The formula of the volume of a cylinder is given by :
\(V=\pi r^2h\)
So,
\(\dfrac{V_1}{V_2}=\dfrac{r_1^2}{r_2^2}\)
Diameter, d = 2r
\(\dfrac{V_1}{V_2}=\dfrac{(d_1/2)^2}{(d_2/2)^2}\\\\\dfrac{V_1}{V_2}=(\dfrac{d_1^2}{d_2^2})\)
V₁ = 2 L, V₂ = 6.75 L, d₁ = 16 cm, d₂ = ?
\(\dfrac{2}{6.75}=(\dfrac{16^2}{d_2^2})\\\\d_2=29.39\ cm\)
So, the diameter of the larger can is 29.39 cm.
Solve this inequality: 4.2x+5.6<7.2-8.3x please give the steps.
Answer:
\(x<\frac{16}{125}\)
Step-by-step explanation:
First we will multiply everything by 10 to get rid of the decimals.
\(4.2x*10+5.6*10<7.2*10-8.3x*10\\42x+56<72-83x\)
Subtract 56 from both sides:
\(42x+56-56<72-83x-56\\42x<-83x+16\)
Add 83x to both sides:
\(42x+83x<-83x+16+83x\\125x<16\)
Divide both sides by 125:
\(\frac{125x}{125}<\frac{16}{125}\\x<\frac{16}{125}\)
Answer:
I'm terrible at explaining things but here's a screenshot
- Ripper
Step-by-step explanation:
Before a party ahley brought a try of 24 water bottle each bottle ha a capacity of 12 oz there enough water for all the guet
Yes, there is enough water for all the guests. There are 24 number of water bottles with a capacity of 12 oz each, which adds up to 288 oz of water.
1. Ashley brought a tray of 24 water bottles.
2. Each bottle has a capacity of 12 oz.
3. To calculate the total capacity of all the water bottles, we need to multiply the number of bottles (24) by the capacity of each bottle (12 oz).
4. 24 x 12 = 288
5. There is a total of 288 oz of water, which is enough for all the guests.
Yes, there is enough water for all the guests. There are 24 water bottles with a capacity of 12 oz each, which adds up to 288 oz of water.
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a raft left port a and traveled toward port b. at the same time, a motorboat left port b and traveled toward port a. how many hours after departure will the two meet if the raft travels the distance between ports a and b after 30 hours and the motorboat travels the same distance in 6 horus?
If the raft travels the distance between ports a and b after 30 hours and the motorboat travels the distance in 6 hours. After the departure the two boats will after 5 hours 4 minutes.
Given that,
After leaving the port,
Raft travels the distance between a and b ports = 30 hours
Motorboats travels the distance between a and b ports = 6 hours
The triangle formed by their tracks and the line joining their current positions in a right angled triangle.
According to the Pythagoras Theorem,
a² + b² = c²
⇒ (30)²+ (6)² = c²
⇒ 900 + 36 = c²
⇒ 936 = c²
⇒ c = √936
⇒ c = 30.59
Rounding up 30.59 in 30.6.
Therefore, the boats will the two meet by 30 hours and 6 minutes after they leave the port.
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find the value of x?
Answer:
30
Step-by-step explanation:
The sum of the angles of a triangle is 180
x+34 +116 = 180
Combine like terms
x+150 = 180
Subtract 150 from each side
x+150-150 = 180-150
x = 30
using the angle sum property of triangle.
According to this, sum of all angles of a triangle is equal to 180°
x° + 116° + 34° = 180°
x° + 150° = 180°
x° = 180° - 150°
x° = 30°
HELPPPP!!!!!!!!! SIMPLIFY THE EXPRESSION!!!!!!!!!!!
(9ab^-5)^-2
Step-by-step explanation:
after a party there are parts of three pizzas remaining. there is 3/4 of a pepperoni pizza remaining 5/8 of a cheese pizza remaining and 11/12 of a sausage pizza remaining. the 5 friends who organized the party split the remaining pizza equally. What fraction of a whole pizza does each person get?
Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24
What is a mixed number and how is it different from an improper fraction?A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.
How do you convert a mixed number to an improper fraction?To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.
So to find out the fraction of a whole pizza that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,
3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24
Now to equally divide this into 5 person, we need to divide this fraction by 5,
i.e 55/(24*5) = 11/24
Therefore, each person gets 11/24 of the whole pizza.
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Find the measures of x and y
X
Y
The right angle, 99, 171, and 159 are four of the angles. It follows that the x and y angles, which are also equal, must both equal 201/2.
what is angle ?A place where two lines converge creates an angle. They are quantified in degrees and are denoted by the symbol °. Four essential types are reflex, acute, right, and obtuse angles. A circle has 360 degrees. One terminal exists when two rays (half-lines) are merged form an angle. The rays are referred to as the angle's sides, occasionally as its legs, and occasionally as its arms, while the latter is referred to as the angle's vertex. The place where all points of an angle converge is known as the vertex.
given
A polygon's internal angle measurements are equal to (n-2) * 180, where n is the number of sides.
Therefore, 4 * 180 = 720 is the total of the internal angles of this 6-sided object.
The remaining two equal angles are 720 - 90 - 99 - 171 - 159 = 201 .
The right angle, 99, 171, and 159 are four of the angles. It follows that the x and y angles, which are also equal, must both equal 201/2.
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Select al solutions to the inequality 8t< -2t+20
(A) 14
(B) -7
(C) 10
(D) -1
(E) 2
(F) -4
(G) 9
(H) 0
(I) 5
(J) 3
Step-by-step explanation:
the answer is E
which 2
its easy bro
the mean of the ages of 5 brothers is 13 years. If the ages of four of the brothers are 12, 16, 14, and 8, how old is the fith brother
PLEASE HELP ME I WILL GIVE BRAINLIEST!!
Which row of Pascal's Triangle should you use to expand the binomial (a + b)^4?
Answer:
Step-by-step explanation:
a + b)^6 will have 7 terms so you want row 6 of the triangle 1 6 15 20 15 6 1
so (a + b)^6 = a^6 + 6a^(5)b + 15a^(4)b^2 + 20a^(3)b^3 + 15a^(2)b^4 + 6ab^5 + b^6
given a = d and b = -5y
∴ (d − 5y)^6 = d^6 + 6d^(5)(-5y) + 15d^(4)(-5y)^2 + 20d^(3)(-5y)^3 + 15d^(2)(-5y)^4 +
What is the mode of the data set? 2 0 5 7 8 9 8 2 1 8 A. 2 and 8 B. no mode C ,8 only D, 2 only
Answer:
The answer is C. 8
Step-by-step explanation:
First we should reorganize the data set so that it is easier to see the mode:
0, 1, 2, 2, 5, 7, 8, 8, 8, 9
Since mode is the value that occurs the most, we just have to look at the data set and find out which value here occurs the most:
0 - Once
1 - Once
2 - Twice
5 - Once
7 - Once
8 - Thrice
9 - Once
From this we can see that the value 8 occurs the most.
Therefore, the answer is C. 8
can you guys help me plz
You have 6 magic markers that are yellow and 4 are purple. If you pick 3 of them, what is th probability that the first 2 are purple and the last one is yellow? (Show your work)
we have
6 magic markers yellow
4 purple
total markers = 6 + 4 = 10
therefore:
first purple
\(\frac{4}{10}=\frac{2}{5}\)second purple
\(\frac{4-1}{10-1}=\frac{3}{9}=\frac{1}{3}\)then:
\(\frac{2}{5}+\frac{1}{3}=\frac{11}{15}\)The gradient is equal to the _______ in elevation/distance
The gradient is equal to the rise in elevation/distance.
The correct answer is "rise." What is the gradient? The term "gradient" refers to the amount of steepness or slope in a surface, represented by a number or percentage. The gradient is calculated as the change in elevation divided by the change in distance.
As a result, the gradient is measured in units of elevation per distance, such as feet per mile or meters per kilometer. The formula for the gradient is given by:Gradient = Rise / RunWhere rise is the change in elevation and run is the change in distance.
The gradient, on the other hand, indicates the steepness or slope of a surface. It represents the angle of the slope and the direction of flow of a stream, among other things. It's also used to figure out the water flow rate in a pipeline or open channel.
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Sum-R-Fun sells a jet ski for $6,700 which includes tax. They offer an installment plan that requires 20% down. After that, the customer would pay
$200 per month for three years. What is the down payment? What is the total of all monthly payments? What is the total cost of the jet ski on the installment plan? What is the finance charge?
Answer:
1) The initial down payment is $1,340
2) The total monthly payment is $7,200
3) The total cost of the jet ski on the installment plan is $8,540
4) The finance charge is $1,840
Step-by-step explanation:
The financing model of Sum-R-Fun for a jet ski are as follows;
Sum-R-Fun selling price of a jet ski = $6,700
The initial down payment = 20% of the selling price of the jet ski
The amount the customer pays per month = $200
The duration or the period of the monthly payment = 3 years
1) The initial down payment = 20/100 × $6,700 = $1,340
2) The total monthly payment = Number of months per year × Number of years × The monthly (installment) payment
∴ The total monthly payment = 12 × 3 × $200 = $7,200
3) The total cost of the jet ski on the installment plan = The initial down payment + The total monthly payment
∴ The total cost of the jet ski on the installment plan = $1,340 + $7,200 = $8,540
4) The finance charge is the cost of the credit given as follows;
The finance charge = The total cost of the jet ski on the installment plan - Sum-R-Fun selling price of a jet ski
∴ The finance charge = $8,540 - $6,700 = $1,840
Find the absolute value:
5.34 -4 2/11 0
-6 3/5 -2.12 8.2
Answer:
Change the positive numbers to negative and change the negative numbers to positive.
Step-by-step explanation:
I hope this helps u! :D
Sam deposits $1,000 into an account that pays 6% simple interest annually. He plans to take the money out after 3.5 years.
What will the balance in his account be after 3.5 years?
Answer: 1210
Step-by-step explanation:
would the sample size be large enough if the population is school-aged children and young adults in the united states? explain in 2-3 sentences.
Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.
Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.
The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.
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#4 please help me ty if u do
Write in slope-intercept form.
The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are
Standard form: - 2 p^2 + 24p - 54
Factored form: -2(p - 3)(y-9)
Vertex form: -2(p-6)^2 + 18.
Which form is most useful for finding a. The prices that give a profit of zero dollars?
b. The profit when the price is zero?
c. The price that gives the maximum profit?
Answer:
Step-by-step explanation:
If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.
a). The prices that give a profit of zero dollars.
Expression that is most useful,
Factored form: -2(p - 3)(p - 9) = 0
p = 3, 9
b). The profit when the price is zero .
Standard form:
Profit = -2p² + 24p - 54 = 0
-p² + 12p - 27 = 0
-p² + 3p + 9p - 27 = 0
-p(p - 3) + 9(p -3) = 0
(-p + 9)(p - 3) = 0
p = 3, 9
c). The price that gives the maximum profit.
Vertex form: -2(p - 6)² + 18
Vertex of the given expression → (6, 18)
Maximum profit will be at p = 6.
Therefore, profit = -2(6 - 6)² + 18 = 18
What is the value of the expression (x – 2y)(x + 2y) when x= 4 and y = 2?
Answer:
0
Step-by-step explanation:
To solve this, you first plug in the 4 and 2 where the x and y's go, making the expression (4 - 2(2))*(4 + 2(2)). Then you solve each parenthesis (below).
(4 - 2(2))*(4 + 2(2)).
(4 - 4)*(4 + 4).
0*8
0
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what is the area of a kite calculator?
The area of the kite is 40 square meters, calculated by using the area of a kite formula.
To calculate the area of a kite, you need to know the lengths of both the diagonals. Once you have those values, you can use the following formula to find the area:
Area = (d1 x d2) / 2
where d1 and d2 are the lengths of the diagonals.
Here is an example of how to use this formula:
Let's say you have a kite with diagonals of 8 meters and 10 meters. To find the area, you would use the formula:
Area = (8 x 10) / 2
Area = 40 square meters
So the area of the kite is 40 square meters.
There are also many online calculators available that can help you find the area of a kite if you enter the values of the diagonals.
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The table below shows the number of hours ten students spent studying for a test and their scores.
Hours Spent Studying(x):0,1,2,4,4,4,6,6,7,8
Test Scores(y):35,40,46,47,70,82,88,82,95
Write the linear regression equation for this data set. Round all values to the nearest hundredth.
State the correlation coefficient of this line, to the nearest hundredth.
Explain what the correlation coefficient suggests in the context of the problem.
The correlation coefficient of 0.88 reveals that there is an intense linear connection between the two variables.
How to explain the correlationIt should be noted that to ascertain the correlation coefficient, we can utilize the formula:
r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)]
Retaining the same numeric values from before, we can compute:
r = (9(976) - (36)(605)) / sqrt[(9(182) - (36)^2)(9(11681) - (605)^2)] ≈ 0.88
Therefore, the correlation coefficient is fairly close to 0.88.
The correlation coefficient implies a strong positive relationship between hours expended studying and test outcomes. As the quantity of hours committed to studying increases, the test scores will tend to keep up accordingly. A correlation coefficient of 0.88 reveals that there is an intense linear connection between the two variables, and the line of best fit serves as a desirable standard representation of the data.
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Answer:
y = 34.27 + 7.79xr = 0.98Strong positive correlation: The more hours of studying for a test a student does, the higher their test score.Step-by-step explanation:
It appears there is an error in the table. The correct table is:
\(\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|}\cline{1-11}\vphantom{\dfrac12}\textsf{Hours spent studying $(x)$}&0&1&2&4&4&4&6&6&7&8\\\cline{1-11}\vphantom{\dfrac12}\textsf{Test score $(y)$}&35&40&46&65&67&70&82&88&82&95\\\cline{1-11}\end{array}\)
The simplest method to find the linear regression equation and the correlation coefficient for this data set is to use a statistical calculator.
After entering the data into a statistical calculator we get:
a = 34.272727...b = 7.79220779...r = 0.981574157...The regression line of y on x is y = a + bx.
Therefore, substitute the found values of a and b into the formula to write the linear regression equation for the given data set:
\(\boxed{y=34.27+7.79x}\)
The correlation coefficient is the value of r, so r = 0.98 to the nearest hundredth.
The correlation coefficient, r, measures the strength of the linear correlation between two variables. |t is always between +1 and -1.
Values close to +1 mean a strong positive correlation.Values close to -1 mean a strong negative correlation.Values of r close to zero mean there is only a weak correlation.If r = 0, the variables aren't correlated.As r = 0.98, there is a very strong positive correlation.
In context, this suggests that the more hours of studying for a test a student does, the higher their test score.
the variance of a sample of 81 observations is 64. calculate the standard deviation. round your answer to two decimals.
The standard deviation is 8.
What is standard deviation?Data dispersion in regard to the mean is quantified by a standard deviation, or. Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high. A measure of a group of values' variance or dispersion in statistics is called the standard deviation. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high. The dispersion of the data around the mean value is measured by the standard deviation. It might be helpful when comparing data sets that may have the same mean but a different range.
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