Answer:
12 yards
Step-by-step explanation:
A 1:10 ratio means that for every 10 in the bigger of the set, it's only 1 in the smaller. A model field would be smaller than the real thing so 120 is our 10.
120 / 10 = 12
Consider results of 20 randomly chosen people who have run a marathon. Their times, in minutes, are as follows: 137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287. Calculate a 99% upper confidence bound on the mean time of the race. Assume distribution to be normal. Round your answer to the nearest integer (e.g. 9876). u
According to the question we have the 99% UCB on the mean time of the race is 223.
The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.
We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.
We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.
Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.
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four students can wash a car in 15 minuets.if the time varies inversely with the number of students washing the car, how many minutes will it take three students to coplete that same job
Answer:
20
Step-by-step explanation:
round the following number to 2 decimal places 17.422
Answer:
17.42
Step-by-step explanation:
Because the third place is less than 5 you have to round it to smaller number and that is 2.
If by any chance the third number was for example six you would have to round it to 3.
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution.
Answer:0.69
Step-by-step explanation:
Let z = e^(2x). Then your equation is
z^2 +3z -28 = 0
(z +7)(x -4) = 0
z = -7 or 4
Taking the log of our definition of z, we have
ln(z) = 2x
x = ln(z)/2
So, the one real solution is
x = ln(4)/2 = ln(√4)
x = ln(2)
The decimal approximation is
x ≈ 0.69
Write an equation of each line in standard form with integer coefficients.
2y = -4x-12
The equation of the line in standard form of 2y = -4x - 12 is 4x + 2y = -12.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant.
Given the equation 2y = -4x - 12, to write the equation in standard form, arrange the variable(s) in one side and the constant(s) in the other.
2y = -4x - 12
4x + 2y = -12
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Look at the photo and you can see it
Answer:
huh wym?
you will see it?
Step-by-step explanation:
When Borrower Max was approved for an FHA loan, he knew that the cost of the loan would be passed to him in one of two ways. Which would be paid at the time of closing as an FHA fee?Up-front Mortgage Insurance PremiumMortgage Insurance PremiumHomeowner's InsuranceMortgage Loan Insurance
The FHA fee that would be paid at the time of closing is the "Up-front Mortgage Insurance Premium" (UFMIP).
Up-front Mortgage Insurance premium is a one-time fee that is paid at the time of closing and is added to the total loan amount. The UFMIP is typically 1.75% of the loan amount, but can vary depending on the loan type and other factors.
The "Mortgage Insurance Premium" (MIP) is an ongoing fee that is paid monthly along with the mortgage payment.
"Homeowner's Insurance" is not an FHA fee but is typically required by lenders to protect the property in case of damage or loss.
"Mortgage Loan Insurance" is another term for mortgage insurance, which is required on FHA loans to protect the lender in case the borrower defaults on the loan.
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20 points and brainliest. Please help me.
Answer:
una
Step-by-step explanation:
4/20=.20
.20 per pencil
hope this helps, brainliest appreciated
In ΔDEF, f = 5 cm, m∠E=79° and m∠F=75°. Find the length of d, to the nearest 10th of a centimeter.
Using sine and cosine rule, the length of d in the triangle is equal to 4.5cm
What is Sine RuleThe sine rule is a mathematical formula used to calculate the lengths of the sides and angles of any triangle when given two angles and one side or two sides and one angle. It is also known as the law of sines.
To find the length of d, we have to find the length of E.
Using sine rule;
f / sin F = e / sin E
5 / sin 75 = e / sin 79
e = 5sin79 / sin 75
e = 5.7cm
To find the length of d, we have to find the angle D by using the sum of angle theorem.
m∠ E + m∠ F + m∠ D = 180°
79 + 75 + m∠ D = 180
m∠ D = 180 - 154
m∠ D = 26°
Using cosine rule
d² = e² + f² - 2efCosD
d² = 5.7² + 5² - 2(5.7)(5)cos26
d² = 20.615598
d = √20.615598
d = 4.5cm
The length of side d is 4.5cm
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there are no gaps between the bars of this histogram are that way because the bars represent the distribution of continuous or discrete data?
The bars in a histogram are not separated because the data being represented is continuous.
A histogram is a graphical representation of the distribution of data. Histograms are used to illustrate the frequency of data values in a set of information. They provide an estimation of the probability distribution of a continuous variable, which is critical for data analysis in numerous fields.
A histogram can be a bar chart with a frequency count, percentage frequency, or density. Histograms are used to visualize continuous data because they represent an estimation of the underlying probability density function of the random variable that produces the data.
Continuous data is quantitative data that can be measured and manipulated in fractions or decimal points. This data is often represented as a line on a graph. Discrete data, on the other hand, can only take on specific values that are distinct from one another.
Examples of discrete data are the number of pets you have or the number of cars in your garage. They can also be represented graphically as a bar graph because the information falls into discrete bins.
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a family on a trip budgets $800 for meals and hotel accommodations. suppose the price of a meal is $40. in addition, suppose the family could afford a total of eight nights in a hotel if they don't buy any meals. how many meals could the family afford if they gave up two nights in the hotel? a. 2 b. 1 c. 8 d. 5\
if the family gives up two nights in the hotel, they could afford d) 5 meals
The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:
$800 / 8 nights = $100 per night
Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:
$200 / $40 per meal = 5 meals
Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.
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PLEASE HELP
What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
Answer:
D. -1.560x + 22.105
Lionel wrote an arithmetic sequence. The first five terms of the sequence are shown below.
3, 10, 17, 24, 31, ...
What is the next term of Lionel's sequence? Show or explain how you got your answer.
Answer:
The common difference between numbers is 7.
3
3+7=10
10+7 = 17
17+7=24
24+7=31
31+7= 38
3, 10, 17, 24, 31, 38
Round 0.3058 to the nearest hundredth
Answer: 0.31
Step-by-step explanation:
0.3158 is closer too 0.3100 than 0.3000 or 0.3
Rounding 0.3058 to the nearest hundredth gives us 0.31.
Given that a number we need to round it to the nearest hundredth,
To round 0.3058 to the nearest hundredth, we need to look at the digit in the thousandth place (the third decimal place).
Step 1: Look at the digit in the thousandth place. In this case, the digit is 5.
Step 2: Determine if the digit is 5 or greater. If the digit is 5 or greater, we round up. If the digit is less than 5, we round down.
Since the digit in the thousandth place is 5, we round up.
Step 3: Round up the number in the hundredth place. In this case, the number in the hundredth place is 0.
Rounding up 0 to the nearest hundredth gives us 1.
Therefore, rounding 0.3058 to the nearest hundredth gives us 0.31.
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A truck heading east has an initial velocity of 6 m/s. It accelerates at 2 m/s for 12 seconds. What distance does the
truck travel in the given time?
A 84m
B 144 m
C 216 m
D 360 m
Answer:
The answer is C, 216m
Step-by-step explanation:
Answer:
D) 216 m
Step-by-step explanation:
edge2021
Solve the equation:
2 + y/3 =8
At a town meeting, the ratio of dark-haired people to blond-haired people to red-haired people is 42 : 37 : 3. If there are 1,312 people at the meeting, how many have each color hair?
Answer:
672 had dark hair, 592 had blond hair, and 48 had red hair
Step-by-step explanation:
To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.
Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:
42 + 37 + 3 = 82
We can then divide 1,312 by 82 to get the scaling factor:
1,312 ÷ 82 = 16
This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.
To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:
Dark-haired people: 42 × 16 = 672
Blond-haired people: 37 × 16 = 592
Red-haired people: 3 × 16 = 48
Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.
When directed to completely factor the polynomial 4x2y5-8xy3, a student wrote 2xy3(2xy3-4). When the teacher did not give the student full credit, the student complained because when his answer is multiplied out, the result is the original polynomial. What went wrong?
Answer:
The student didn't fully factorize out the terms to the least factor. He only collected some like terms but there was still more to collect and that's why the Teacher didn't give him full credit
Step-by-step explanation:
The original polynomial is;
4x²y^(5) - 8xy³
Now, if we want to completely factor this properly, we have to do it to the barest minimum.
Thus;
4xy³ is common to both terms so we can bring them out;
4xy³(xy² - 2)
Now this complete factorization is different from the one the student gave which is 2xy³(2xy³ - 4)
Thus, the student at best has factorized but only partly as it has not been reduced to the least of like terms.
How do you calculate mean with examples?
The mean is the sum of all values divided by the number of values in a set.
The mean (or average) of a set of numbers is the sum of all the numbers divided by the total number of values. For example, if we have the numbers 1, 2, 3, 4 and 5, the mean would be (1 + 2 + 3 + 4 + 5) / 5 = 3. The mean is also known as the arithmetic mean or the average. The formula for calculating the mean is:
Mean = (Σx)/N
Where Σx is the sum of all values and N is the number of values. So, for our example with 1, 2, 3, 4 and 5, we could calculate the mean like this:
Mean = (1 + 2 + 3 + 4 + 5) / 5
= 15 / 5
= 3
The mean is the sum of all values divided by the number of values in a set.
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How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$) [asy] unitsize(1.5 cm); draw((0,0)--dir(60)--(1,0)); draw((0,0)--(1,0)); draw((0,0)--dir(-60)--(1,0)); label("$A$", (0,0), W); label("$B$", (1,0), E); [/asy]
Answer:
There are $\boxed{3}$ paths from $A$ to $B.$
please help meeeeeeeeeeeeeeee
Answer:
A. Ben pence: 2x
B. 90b
please mark brainliest ♡♡
Find the measure of Arc BED
180 degrees
142 degrees
218 degrees
72 degrees
The measure of arc BED in the circle is calculated as:
m(BED) = 218 degrees.
How to Find the Measure of an Arc?For us to be able to find the measure of the arc, we need to recall that the measure of the intercepted arc is the same as the central angle measure opposite it.
Arc BED will therefore have the same measure as that of the central angle, therefore:
measure of arc BED = 360 - 52 - 90 [note that arc DC is equal to 90 degrees while arc BC is equal to 52 degrees]
Measure of arc BED = 218 degrees.
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Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?
The NPV is positive, it is worth taking the Investment.
Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.
This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:
NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.
The given problem can be solved by using the following steps:
Calculate the present value (PV) of the expected cash inflows:
Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82
Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39
Since the NPV is positive, it is worth taking the investment.
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hello! I would need some help with this question, I have tried it a few times and got different answers everytime. please explain how you get the answer. thank you!
Answer:
A+50°=180°[because of straight angle]
or,A=180-50
A=130°
Now,
P=A[Alternate angle]
or, P=130°ans
help me plssssssssssssssssss
Answer:
kmkioppppppppoiiu yw quip all cm ms all pure 100.00
Using the graphing function on your calculator, find the solution to the system of equations shown below. 4y + 12x = 10 2y - 6x = -8 A. No solution B. More than 1 solution C. x = 13/12, y = -3/4 D. x = -6, y = 2
Therefore, the solution to the system of equations is: x = 13/12, y = -3/4 that is option C.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions, separated by an equals sign (=). The expressions on either side of the equals sign are referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation. Equations are used to describe relationships between variables and to solve problems.
Here,
To solve the system of equations:
4y + 12x = 10 ...(1)
2y - 6x = -8 ...(2)
We can use the method of elimination or substitution.
Method of elimination:
We can eliminate x by multiplying equation (2) by 2 and adding it to equation (1) to obtain:
4y + 12x = 10
(4y - 12x = -16)
8y = -6
Dividing both sides by 8, we get:
y = -6/8
y = -3/4
Substituting this value of y in equation (1), we get:
4(-3/4) + 12x = 10
Simplifying and solving for x, we get:
-3 + 12x = 10
12x = 13
x = 13/12
So the answer is C. x = 13/12, y = -3/4.
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Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
Solve for y.
23 +18y=-21 + 14y
Simplify your answer as much as possible.
y =
Answer:
y = -11
Step-by-step explanation:
23 + 18y = -21 + 14y
Combine like terms
18y - 14y = -21 -23
Do the math
4y = -44
Divide both sides by 4
y = -11
The measure of angle 1 is 62 degrees. Find the measure of angle 2.
Answer:
124
Step-by-step explanation:
Answer:
if it equals 180 degrees total then 118 but if it equals 90 degrees total then 28
Step-by-step explanation: