9514 1404 393
Answer:
x² +y² -6x -16y +48 = 0
Step-by-step explanation:
Given:
circle center: (3, 8)circle radius: 5Find:
general form equation for the circle
Solution;
The standard form equation for the circle is ...
(x -h)² +(y -k)² = r² . . . . . circle with radius r centered at (h, k)
(x -3)² +(y -8)² = 5²
Subtracting 25 and expanding this will give the general form.
x² -6x +9 +y² -16y +64 -25 = 0
x² +y² -6x -16y +48 = 0
_____
Additional comment
"General form" of an equation is usually the form f(x,y) = 0, where f(x, y) is written in "standard form," with terms in lexicographical order and decreasing degree.
Please answer! I need help on this question.
Answer:
Let x and y denotes the number of cabinet of the type X and Y. Then given problem can be formulated as, ☝
That is, the second pic
Sketch the region as 3 pic
Step-by-step explanation:
oh the same question was there by xxlunaxx4
find the place value of 1 in 382619.
Answer:
Place value of 1 = 1 × 10 = 10
Step-by-step explanation:
In 382619,
Place of 1 = Tens
Place value of 1 = 1 × 10 = 10
Multiplying 10x² and (2x²)² we get …..
Hi there!
[tex]\large\boxed{40x^{6}}[/tex]
Begin by simplifying (2x²)²
2² · (x²)² <-- Power rule for exponents, multiply them together:
4 · x⁴ = 4x⁴
Multiply by 10x². ADD exponents when multiplying.
10x² · 4x⁴ = 40 · x²⁺⁴
40x⁶
The distribution of the number of apples trees a farmer can plant each day is bell-shaped and has a mean of 62 and a standard deviation of 8. Use the empirical rule to help you answer the following. What is the approximate percentage of trees planted between 38 and 68
Answer:
The empirical rule, the approximate percentage of trees planted between 38 and 68 is 99.7%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 62, standard deviation of 8.
What is the approximate percentage of trees planted between 38 and 86?
38 = 62 - 3*8
86 = 62 + 3*8
So within 3 standard deviations of the mean, which, by the empirical rule, the approximate percentage of trees planted between 38 and 68 is 99.7%.
The area of a rectangle is 110 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
Answer:
A
=
w
l
d
=
w
2
+
l
2
Solving for
d
d
=
l
2
+
(
A
l
)
2
=
11
2
+
(
110
11
)
2
≈
14.86607
The length of the diagonal of the rectangle is 14.9 units.
What is a diagonal?A diagonal is the longest line that divides a plane shape into two halves.
To calculate the diagonal of the rectangle, we use Pythagoras theorem.
Formula:
A = lw.............. Equation 1Where:
A = Area of the rectanglel = Length of the rectanglew = width of the rectangle.make w the subject of the equation
w = A/l.............. Equation 2From the question,
Given:
A = 110 square unitsl = 11 unitsSubstitute these values into equation 2
w = 110/11w = 10 units.Finally, to calculate the diagonal of the rectangle, we use the formula below
d² = l²+w²............. Equation 3Given:
w = 10 unitsl = 11 units.Substitute these values into equation 3
d² = 10²+11²d² = 100+121d² = 221d = √221d = 14.9 units.Hence, the length of the diagonal of the rectangle is 14.9 units.
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Multiply 3x (2x - 1)
Answer:
6x^2 - 3x
[tex]6x^2-3x[/tex]
Step-by-step explanation:
3x (2x-1)
multiply 3x by 2x -> 6x^2
multiply 3x by -1 -> -3x
Answer:
The answer is [tex]6x^{2} -3x[/tex].
Step-by-step explanation:
To solve for the answer, start by using the distributive property. The distributive property is a property of multiplication used in addition and subtraction and states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.
The distributive property for this problem will look like [tex](3x*2x)+(3x*-1)[/tex], and when the problem is simplified, it will look like [tex]6x^{2} -3x[/tex]. The final answer is [tex]6x^{2} -3x[/tex].
What do the chi-square test for independence, the Pearson correlation, and simple linear regressions all have in common
Answer:
They all test relationship when it involves two variables
Explanation:
All of the statistical methods listed above all measure the relationship between two variables.
The Chi Square test tests the relationship between two nominal/categorical variable groups.
The Pearson correlation test tests relationship between two continuous variables using the Pearson correlation coefficient to determine statistical relationship between them.
The simple linear regression measures relationship between two variables: dependent/response variable and independent/explanatory variable, to see if a relationship exists between by way of influence of the independent variable on the dependent variable.
Allie rode her bike up a hill at an average speed of 12 feet/second. She then rode back down the hill at an average speed of 60 feet/second. The entire trip took her 2 minutes. What is the total distance she traveled. [Hint: use t = time traveling down the hill]
Answer:
The total distance Allie traveled was 0.81 miles.
Step-by-step explanation:
Since Allie rode her bike up a hill at an average speed of 12 feet / second, and she then rode back down the hill at an average speed of 60 feet / second, and the entire trip took her 2 minutes, to determine what is the total distance she traveled, the following calculation must be performed:
12 + 60 = 72
72 x 60 = 4320
1000 feet = 0.189394 miles
4320 feet = 0.8181818 miles
Therefore, the total distance Allie traveled was 0.81 miles.
A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression. How many people clicked on the banner ad
Answer:
300
Step-by-step explanation:
[tex] \frac{1.5}{100} = 20000 \\ 20000 \div 100 = 200 \\ 200 \times 1.5 = 300[/tex]
if A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression then 300 people clicked on the banner ad
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression.
We need to find how many people clicked on the banner ad.
Let us find the value of 1.5% of 20000
Convert 1.5 % to decimal
1.5/100=0.015
Now multiply 0.015 with 20000
0.015×20000
300
Hence, if A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression then 300 people clicked on the banner ad
To learn more on Percentage click:
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AXYZ is reflected across the line x = 3. What is the reflection image of X
Answer:
The answer should be (7, 5)
Suppose a research company takes a random sample of 45 business travelers in the financial industry and determines that the sample average cost of a domestic trip is $1,192, with a sample standard deviation of $279. Construct a 98% confidence interval for the population mean (for domestic trip) from these sample data. Round your answers to 3 decimal places.
Answer:
98% confidence interval for the population mean =(1095.260,1288.740)
Step-by-step explanation:
We are given that
n=45
[tex]\mu=1192[/tex]
Standard deviation,[tex]\sigma=279[/tex]
We have to construct a 98% confidence interval for the population mean.
Critical value of z at 98% confidence, Z =2.326
Confidence interval is given by
[tex](\mu\pm Z\frac{\sigma}{\sqrt{n}})[/tex]
Using the formula
98% confidence interval is given by
[tex]=(1192\pm 2.326\times \frac{279}{\sqrt{45}})[/tex]
[tex]=(1192\pm 96.740)[/tex]
=[tex](1192-96.740,1192+96.740)[/tex]
=[tex](1095.260,1288.740)[/tex]
Hence, 98% confidence interval for the population mean (1095.260,1288.740)
xp-q+1×xq-r+1×xr-p+1
Answer:
Look into the picture
Step-by-step explanation:
Let me know if there's something wrong to my answer
The force F (in pounds) needed on a wrench handle to loosen a certain bolt varies inversely with the length L (in inches) of the handle. A force of 40 pounds is needed when the handle is 7 inches long. If a person needs 20 pounds of force to loosen the bolt, estimate the length of the wrench handle. Round answer to two decimal places if necessary.
in inches
Answer:
14 inches
Step-by-step explanation:
Since F is inversely proportional to L,
[tex]f = \frac{k}{l} \\ when \: f = 40 \: l \: = 7 \\ \frac{k}{7} = 40 \\ k = 280 \\ when \: f = 20 \\ 20 = \frac{280}{l} \\ l = 14[/tex]
Find the value of x in each case
The answer is 36 degrees
Step 1
Angle GEH=180-2x (angles on a a straight line are supplementary)
Step 2
4x= G^+GE^H(sum of exterior angle)
4x=x+(180-2x)
4x=180-x
4x+x=180
5x=180
x=36 degrees
Rajah / Diagram 5 (b) Dalam Rajah 6, PQ ialah tangen sepunya dua bulatan. AQ dan BQ ialah tangen bagi bulatan yang masing-masing berpusat E dan F. Cari nilai x dan y. In Diagram 6, PQ is the common tangent of two circles. AQ and BQ is the tangent to the circles with centre E and F respectively. Find the value of x and y. [3 markah.
Answer:
36281629273781646181993836619946527189119292937467482919198$7473828191927364732818919283838292927383883829118661552621718919191019284746617171819001187373765252728
Step-by-step explanation:
173899918377+28910873638282
Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 2.5 month. 34 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible.
Answer:
Step-by-step explanation:
a.) it's just mean, variance
so here it's just 12,6.25
b.) For the x bar thing just divide the variance by the number of people (mean stay the same)
the variance is then (2.5²/34)= .1838
which makes it (12,.1838)
c.) here we don't use x bar (and so it's normal (12,2.5²))
p(11.6) = (11.6-12)/(2.5)= -.16 = .4364
p(12.4)= (12.4-12)/2.5 = .16= .5636
.5636-.4364= .1272
d.) here we use x bar because it's asking for an average so it's normal (12, .1838)
same deal
p(11.6)=(11.6-12)/√.1838= -.93295= .1762
p(12.4)= (12.4-12)/√.1838= .93295= .8238
.8238-.1762= .6476
d.) no because they're probably IID
f.) It's average so here we use x bar
q1 is just the 25th percentile
the 25th percentile is -.6745
-.6745=(x-12)/(√.1838)= 11.711
q3 is the 75th percentile
.6745=(x-12)/√.1838
x=12.289
The interquartile range is just the difference between the two
12.289-11.711= .5784
the perimeter of a rectangle garden is 330 feet. If the length of the garden is 94 feet , what is its width ?
Answer:
71 feet
Step-by-step explanation:
94×2=188
330-188=142
142÷2=71
can anyone help me with this an explain
Answer:
si a forse that can t negativo AND f so ITS 0;3
A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is placed on a table in a room where the temperature is 75° Fahrenheit. Provide your answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 146° Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit (b) When will the turkey cool to 100° Fahrenheit? hours.
Step-by-step explanation:
a the rate of changes = (185-146)/30
= 1.3° /minutes.
after 45 minutes = 1.3 ×45 = 58.5°
so, the temperature = 185 - 58.5
= 126.50°F
b. the time to reach 100°F =
(185-100)/ (1.3)
= 85/(1.3) = 65.38
after 65.38 minutes
What is the solution to the linear equation?
-12 + 3b - 1 = -5 - b
Answer:
b=2
Step-by-step explanation:
Pleaseeeeee o someone help me
Answer:
63 cm and 63 cm
Step-by-step explanation:
Both are 63 cm because 9*7 is 63, and those are the measurements of both faces
Find the value of x. Round to the nearest tenth.
please help i am stuck on this assignment
Answer:
answer
x = -13/ 15, 0
Step-by-step explanation:
15x^2 + 13 x = 0
or, x(15x + 13) = 0
either, x = 0
or, 15x + 13 = 0
x = -13/15
Answer:
The answer should be C...............
imma sorry if I'm wrong
What is the greatest common factor of 3^3 x 5^4 and 2 x 5^3 x 11?
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{3^3 \times 5^4}[/tex]
[tex]\mathsf{3^3}[/tex]
[tex]\mathsf{= 3\times3\times3}[/tex]
[tex]\mathsf{= 9\times3}[/tex]
[tex]\mathsf{= \bf 27}[/tex]
[tex]\mathsf{5^4}[/tex]
[tex]\mathsf{= 5\times 5\times5\times 5}[/tex]
[tex]\mathsf{= 25\times25}[/tex]
[tex]\mathsf{= \bf 625}[/tex]
[tex]\mathsf{27 \times625}[/tex]
[tex]\mathsf{= \bf 16,875}[/tex]
[tex]\mathsf{2\times5^3\times11}[/tex]
[tex]\mathsf{5^3}[/tex]
[tex]\mathsf{= 5\times 5\times5}[/tex]
[tex]\mathsf{= 25\times 5}[/tex]
[tex]\mathsf{\bf = 125}[/tex]
[tex]\mathsf{2\times125\times11}[/tex]
[tex]\mathsf{= 250\times11}[/tex]
[tex]\mathsf{\bf = 2,750}[/tex]
[tex]\large\textsf{Find the Greatest Common Factor (GCF) of 16,875 \& 2,750}[/tex]
[tex]\large\textsf{16,875: 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 625, 675, 1,125,}\\\\\large\textsf{1,875, 3,375, 5,625, \& 16,875}[/tex]
[tex]\large\textsf{2,750: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1,375, \& 2,750}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: the GCF is \bf 125 }}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Hello can anyone pls help with this multiple choice question
Answer:
The correct answer is the last one
Step-by-step explanation:
help i’ll give brainliest please hurry
In a recent study of incomes in Wake county in North Carolina, it was found that the distribution of family incomes is skewed to the right (i.e., it has a long right tail). What can we say about the relationship between mean and median.
Answer:
The mean is to the right of the median
Step-by-step explanation:
Given
Skewed right distribution
Required
Relationship between the mean and the median
The question would be better answered if there are options available. Since there are none, I will provide a general answer/explanation.
For a distribution that is right skewed, the mean is always on the right side of the median.
One number is 1/4 of another number. The sum of the two numbers is 5. Find the two numbers. Use a comma to separate your answer
Answer: 1, 4
Step-by-step explanation:
Number #1 = xNumber #2 = [tex]\frac{1}{4} x[/tex][tex]\frac{1}{4} x+x=5\\\\\frac{1}{4} x+\frac{4}{4} x=5\\\\\frac{5}{4} x=5\\\\5x=4*5\\5x=20\\x=4[/tex]
Number #1 = x = 4Number #2 = [tex]\frac{1}{4} x[/tex] = [tex]\frac{1}{4} *4=\frac{4}{4} =1[/tex]does anyone know the answer to this?
Answer:
-32
Step-by-step explanation:
f o h
f(x) = -3x -8
h(x) = [tex]\frac{x+8}{-3}[/tex]
foh = [tex]-3(\frac{x+8}{-3} )[/tex] -8 = x+8 -8 = x
foh(-32) = -32
in a five character password the first two characters must be digits and the last three characters must be letters if no characters are allowed to repeat how many unique passwords are possible
Answer:
1,404,000 unique passwords are possible.
Step-by-step explanation:
The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
2 digits from a set of 10(there are 10 possible digits, 0-9).
3 characters from a set of 26. So
[tex]P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000[/tex]
1,404,000 unique passwords are possible.
