EXPLANATION
The equation of a circle with center (h,k) and radius r is the following:
\((x-h)^2+(y-k)^2=r^2\)In this case, the center is at (5,0) and the radius is diameter/2=8/2=4
Therefore, the equation is as follows:
\((x-5)^2+(y-0)^2=4^2\)Computing the power:
\((x-5)^2+y^2=16\text{ \lbrack EQUATION OF THE CIRCLE\rbrack}\)The solution is:
(x-5)^2 + (y-0)^2 = 16
The graph is the following:
A farmer watered 3/8 of a field. What percentage is equivalent to the fraction of the field the farmer watered?
Answer: 37.5%
Step-by-step explanation:
To find 3/8, divide 100 by 8 (12.5), then multiply that by 3 to figure out 3/8.
Is Y = 3x-3 a proportional relationship
Which number is the least?
0 7.8
O 7.9
O 7.87
O 7.78
Answer:
7.78
Step-by-step explanation:
Answer:
O 7.78
Step-by-step explanation:
Have a wonderful day:)
There are 40 children watching a magic show. 24 of the children are boys, and 16 of the children are girls. The magician needs to select 4 children to help him with his show. What is the probability that all 4 helpers will be girls
Answer:
1.99%. (2% rounded)
Step-by-step explanation:
The total number of ways to select 4 children out of 40 is given by the combination formula:
C(40,4) = 40! / (4! * (40-4)!) = 91,390
The number of ways to select 4 girls out of 16 is given by the combination formula as well:
C(16,4) = 16! / (4! * (16-4)!) = 1,820
Therefore, the probability of selecting 4 girls out of the group of 40 children is:
P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%
So the probability that all 4 helpers will be girls is approximately 1.99%
Hope this helps!.
In a class of 40 statistics majors, each one constructs a 90% confidence interval for the unknown probability p of a weighted coin landing heads. About how many of the 40 intervals will capture the value of the unknown parameter p? About how many will miss it?
Answer:
36 intervals will capture the value of the unknown parameter p, and 4 will miss it.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. x% of confidence intervals capture the unknown parameter.
About how many of the 40 intervals will capture the value of the unknown parameter p?
90% of them will capture, so:
0.9*40 = 36
0.1*40 = 4
36 intervals will capture the value of the unknown parameter p, and 4 will miss it.
How you do this work ?
Answer:
24
Step-by-step explanation:
1 ant = 6 legs
6 legs ×2 ants= 12 legs of ants
1 butterfly = 6 legs
2 butterfly ×6 legs = 12 legs of butterfly
total
12 legs of butterfly + 12 legs of ants
= 24 legs in total
Answer:
24
Step-by-step explanation:
1 ant = 6 legs
2 ants = 6 + 6 = 12
2 ants = 12 legs
1 butterfly = 6 legs
2 butterflies = 6 + 6 = 12
2 butterflies = 12 legs
12 + 12 = 24
There were 24 legs all together.
3. Complete the statement: When a whole number greater than 1 has a
negative integer exponent, the value of the expression is greater than what
but less than what
When a whole number greater than 1 has a negative integer exponent, the value of the expression is greater than zero but less than one.
How to deal with a negative exponent?The standard format of an exponential expression is given as follows:
\(a^b\)
In which:
a is the base.b is the exponent.When we have a negative exponent, the equivalent expression with a positive exponent is obtained inverting the base.
If we have a positive base greater than one to a negative exponent, we invert the base, meaning that it is less than one with a positive exponent, hence the value of the expression is greater than zero but less than one.
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SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
What is the expanded form of 34.81?
Answer:
30+4+.8+.01 or (3x10)+(4x1)+(8x.1)+(1x.01)
Step-by-step explanation:
We can conclude that the expanded form of the given number is [30 + 4 + 0.8 + 0.01].
What do we mean by expanded form?A number can be written in expanded form by multiplying the sum of its digits. To consider the worth of a number's digits, we can use a place value chart. The division of numbers into groups according to place value, such as ones, tens, hundreds, thousands, ten thousand, and so forth, results in the expanded form of the number. The expanded version of the number is the one that is represented by the sum of each digit times its place value.So, expanded form of 34.81:
30 + 4 + 0.8 + 0.01Therefore, we can conclude that the expanded form of the given number is [30 + 4 + 0.8 + 0.01].
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Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.
Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
Urgent, please help
I'll mark brainliest
Answer:
Step-by-step explanation:
The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
Transformation techniques
Transformation is the process of changing the position of an object on the xy-plane.
Given the parent function
f(x) = 4x
If the function is not reflected over x-axis, the resulting function will be f(x) = -4x
If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;
g(x) = 1/8(-4x)
g(x) = -1/2x
Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
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If an angle’s measure is 90° then it is said to be a ______angle?
Answer:
Right Angle
Step-by-step explanation:
Its a Right angle because if you see a square box on a 90 degree measurement then its a right angle.
Answer:
\(\boxed{\bold{\huge{\boxed{Right}}}}\)
Step-by-step explanation:
If an angle’s measure is 90° then it is said to be a Right angle.
PLEASE HELP! An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An agricultural association publishes tariff rates for railroad-car shipments of ethanol. Assuming that the standard deviation of such tariff rates is $1200, determine the probability that the mean tariff rate of 400 randomly selected railroad-car shipments of ethanol will be within $80 of the mean tariff rate of all railroad-car shipments of ethanol. Interpret your answer in terms of sampling error. The probability is what?
(Round to three decimal places as needed.) Thanks!
The likelihood that the average tariff rate of 400 shipments of ethanol picked at random will be inside $80 of the average tariff rate of all shipments is roughly 0.789, or 78.9%.
What is probability?The probability that an event will occur or that a proposition is true is quantified by probability theory, a branch of mathematics. A number from zero to one, where 0 approximately indicates how likely the event will happen and 1 generally indicates certainty, is the probability given an occurrence. In mathematics, probability is a measure of how likely an event is to take place. Probability levels can also be expressed as percent between 0 and 100 percent in addition to the numerals 0 to 1. the percentage of all outcomes out of all equally likely alternatives that lead to a specific occurrence, represented as a ratio.
given,
To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means is approximately normal, with mean equal to the population mean and a standard deviation determined by dividing the population's standard deviation by the sample size square root.
We are given that the standard deviation of the population of tariff rates is $1200. Let mu be the population mean tariff rate, and x-bar be the sample mean tariff rate. We want to find the probability that the sample mean is within $80 of the population mean, i.e., |x-bar - mu| <= $80.
Using the formula for the standard error of the mean, we have:
SE = sigma/sqrt(n) = $1200/sqrt(400) = $60
Now, we can standardize the variable z = (x-bar - mu)/SE, and find the probability of |z| <= 80/60 = 4/3 using a standard normal distribution table or calculator.
P(|z| <= 4/3) = 0.7887
Therefore, the probability that the mean tariff rate of 400 randomly selected railroad-car shipments of ethanol will be within $80 of the mean tariff rate of all railroad-car shipments of ethanol is approximately 0.789 or 78.9% (rounded to three decimal places).
Interpretation: Sampling error refers to the natural variation in sample statistics (such as the sample mean) that occurs due to chance, even when the sample is randomly selected and representative of the population. In this case, the probability of the sample mean tariff rate being within $80 of the population mean is high (78.9%), which suggests that the amount of sampling error in estimating the population mean using a sample of 400 observations is relatively small.
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Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°can someone please help
Answer:
The measure of CD is 46
Step-by-step explanation:
From the midpoint theorem, we have,
FG = (1/2)CD
so,
\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)
Now,
\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)
ratio of 12 seconds to 1 hour
12:3600
1:300
I edited it lol
hope that helps
Show all you work plzzz
Answer:
\(u=-7\)
Step-by-step explanation:
\(-2u-5=9\)
Add 5 to both sides:
\(-2u-5+5=9+5\)
\(-2u=14\)
Divide both sides by -2:
\(\frac{-2u}{-2}=\frac{14}{-2}\)
\(u=-7\)
ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!
Answer:
A = 6
B = 6
C = 7
D = 4
Step-by-step explanation:
A seller has a house that is 1483 square feet. The neighborhood comps show the line of
best fit to be y = 0.071x + 52.48. What is a fair price for this house? Round your answer to
the nearest thousand.
9514 1404 393
Answer:
158,000
Step-by-step explanation:
Using the given square feet for x in the equation, we have ...
y = 0.071×1483 +52.48 = 157.773
We presume this is supposed to represent the estimated value of the house in thousands.
The fair price is estimated to be 158,000.
Ahmad spends $16 each time he travels the toll roads. He started the month with $224 in his toll road account. The amount, A (in dollars), that he has left in the account after t trips on the toll roads is given by the following function.
A (t) = 224 - 16t
Answer the following questions.
a. How much money does Ahmad have left in the account after 11 trips on the toll roads?
b. How many trips on the toll roads can he take until his account is empty?
Part a
\(A(11)=224-16(11)=\boxed{\$48}\)
Part b
\(A(t)=0\\\\224-16t=0\\\\t=\frac{224}{16}\\\\t=\boxed{14 \text{ trips}}\)
a) The amount of money does Ahmad have left in the account after 11 trips on the toll roads is $ 48
b) The number of trips on the toll roads can he take until his account is empty is 14 trips
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A ( t ) = 224 - 16t , where t is the number of trips
a)
The amount of money does Ahmad have left in the account after 11 trips on the toll roads be P
Substituting the value of t = 11 in the equation , we get
A ( 11 ) = 224 - 16 ( 11 )
A ( 11 ) = 224 - 176
A ( 11 ) = $ 48
So , The amount of money does Ahmad have left in the account after 11 trips on the toll roads is $ 48
b)
The number of trips on the toll roads can he take until his account is empty be n
when A ( t ) = 0
224 - 16t = 0
Adding 16t on both sides of the equation , we get
224 = 16t
Divide by 16 on both sides , we get
t = 14 trips
Hence , the equations are solved
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9. Given APRS = ACFH, find the values of x, y, and z
Step-by-step explanation:
since the 2 triangles are congruent, that means that all corresponding angles and lengths are the same between the 2 shapes.
PS corresponds to HC
so,
39 = 2x - 7
46 = 2x
x = 23
R corresponds to F
so,
13y - 1 = 90
13y = 91
y = 7
H corresponds to S.
remember, the sum of all angles in a triangle is always 180°.
so,
6z - 4 = 180 - 28 - 90 = 62
6z = 66
z = 11
What’s 4810 divided by 13?
Answer:
The answer is1202.5 . I guess
Toni adds the numbers. 43+51+32+25=376. What is toni's mistake
Answer:
Step-by-step explanation:
Toni didn’t add it up correctly, so the real answer is 151
HELP ASAP WILL GIVE BRAINLYEST AND 100 POINTS
IF YOU DON"T TRY TO ANSWER THE QUESTION RIGHT I WILL REPORT YOU
Label the Standard Form, the Scientific Notation Form, the Coefficient, the Exponent, and the Base.
Answer:
45,000 is standard form.
4.5 is the coefficient.
4 of 10⁴ is the exponent.
7.6 × 10⁻⁴ is scientific notation.
10 of 10⁻⁴ is the base.
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers in a compact and convenient form. It consists of two parts:
The coefficient: a number between 1 and 10.The exponent: an integer that indicates how many times 10 is multiplied by the coefficient.The base of scientific notation is always 10, which means that the number is written in terms of powers of 10.
For example, the number 4,000,000 can be written in scientific notation as 4 x 10⁶. In this case, the coefficient is 4, and the exponent is 6.
The standard form of a number is simply the usual way of writing it, without using scientific notation. For example, the standard form of 4 x 10⁶ is just 4,000,000.
Therefore, for the given problem:
45,000 is standard form.4.5 is the coefficient.4 of 10⁴ is the exponent.7.6 × 10⁻⁴ is scientific notation.10 of 10⁻⁴ is the base.PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
What is the prime factorization of 48?
---------------------------------------------------------
2 4 × 3
2 3 × 3 2
2 3 × 6
4 × 12
-----------
A bank loaned out 20,500, part of it at the rate of 9% annual interest, and the rest at 11% annual interest the total interest earned for both loans was 2,225.00 how much was loaned at each rate
The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.
Let the amount of money loaned at 9% be x
the amount of money loaned at 11% be y
According to the question,
Total money loaned = 20,500
Thus the equation formed is,
x + y = 20,500 ------ (i)
Simple interest is calculated by
I = P * r * t
where I is the simple interest
r is the rate of interest
t is the time
Thus, the interest on x = 0.09x
the interest on y = 0.11y
Total interest gained = 2,225
Thus the equation formed is,
0.09x + 0.11y = 2225 -------(ii)
Multiply (i) by 0.09
0.09x + 0.09y = 1845
Subtract the above from (ii)
0.02y = 380
y = 19000
x = 1500
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Find the lateral surface area below given prism:
Answer:
the answer should be 158 but I'm not a hundred percent sure
Jordan has 3.2 liters of paint left after painting the scenery for the school play. How can she convert this number to find how many milliliters of paint she has left?
A. Multiply by 100
B. Multiply by 1,000
C. Divide by 100
D. Divide by 1,000
Which graph represents the function f(x) = 2^x+ 3?
Answer:
Where's the graph?
Step-by-step explanation: