A circle has its center at (-3,7) and a radius of 8. What is the equation of the circle in standard form?
Answers
We have the following:
The equation of the circle when the center is not the origin is the following:
\((x-h)^2+(y-k)^2=r^2\)Where, (h, k) is the center and r is the radius
replacing:
\(undefined\)Related Questions
The time until recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 253 minutes and a standard deviation of 45 minutes. What value of life in minutes is exceeded with 90% probability? Round your answer to the nearest minute.
Answers
The value of life in minutes is exceeded by 90% probability is 327.025.
What is a normal distribution?
A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution. The normal distribution describes a symmetrical plot of data around its mean value, where the width of the curve is defined by the standard deviation.
Here, we have
Given: The time until recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 253 minutes and a standard deviation of 45 minutes.
We have to find the value of life in minutes is exceeded by 90% probability.
= Mean + Z (Standard Deviation)
= 253 + 1.645×45
= 327.025
Hence, the value of life in minutes is exceeded by 90% probability is 327.025.
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X - 0 , 2 , 4 , 6 , 8 , 10 , 12
Y - 18 , 15 , 13 , 10 , 7 , 5 , 1
1. Use GeoGebra Calculator Suite linked on the
task page to create a scatterplot of the data.
Post your screenshot of the scatterplot in the space provided below.
2. Use the same calculator linked on the task page to:
find the equation of the best-fit line,
draw the line, and
show the equation.
Post the screenshot of the graph in the space provided below.
The equation of the best-fit line is:
Answers
1. Plot the data points (x, y) on a scatterplot.
2. Use a regression analysis tool (such as Excel or a statistical calculator) to find the equation of the best-fit line. This equation will be in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
3. Once you have the equation of the best-fit line, you can plot it on the scatterplot to see how well it fits the data.
I hope this helps!
what is the synynom of oil
Answers
Step-by-step explanation:
oil change. palm trees oil
Express the given trigonometric functions in terms of the same function of a positive acute angle.sec 948 degrees, cos(-948) degrees
Answers
Given the Trigonometric Functions:
\(\begin{gathered} sec(948\text{\degree}) \\ \\ cos(-948\text{\degree}) \end{gathered}\)Using your calculator you get:
\(sec(948\text{\degree})\approx-1.49\)By definition, Secant is negative in Quadrant III.
Finds its Reference Angle as follows:
\(948\text{\degree}-5\cdot180\text{\degree}=48\text{\degree}\)Because:
\(\frac{948}{180}\approx5\)Then, you get:
\(=-sec\left(48\text{\degree}\right)\)Notice that:
\(cos(-948\text{\degree})\approx-0.67\)Then, you can conclude that it is in Quadrant II.
Therefore its Reference Angle is:
\(5\cdot180\text{\degree}-948\text{\degree}=-48\)So you can set up:
\(=-cos\lparen-48)\)By definition:
\(cos(-\theta)=cos\theta\)Therefore, you can rewrite it in this form:
\(=-cos(48\text{\degree})\)Hence, the answer is:
\(\begin{gathered} sec(48\text{\degree}) \\ \\ -cos(48\text{\degree}) \end{gathered}\)answer 13/14 - 1/7 + 1/2 and 6/10 - 1/5 + 1/4
Answers
Answer:
mixed form: 1 131/140
decimal form: 1.93571
Answer:
first question is 18/14 simplify it's 9/7
Second question is 13/20
Step-by-step explanation:
Hope this helps
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answers
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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In the triangle shown, AB = 2x + 9 and BC = 5x – 12. Find the value of x.
Answers
Answer:
x=7
Step-by-step explanation:
AB=BC[ because two sides of isosceles triangles are equal ]
or, 2x+9=5x-12
or,9+12=5x-2x
or,21=3x
or,x= 21/3
therefore, x=3
Which of the following effects of a BAC of .2 percent does NOT relate to one’s driving ability?
A. lack of coordination
B. Breathalyzer test results indicating a high BAC
C. Impaired gross motor skills such as walking or gestures
D. Impaired reactions
It is either between B or C.
Answers
The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.
Breathalyzer testWhile the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.
Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.
On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.
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Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
99°
B
D
94%
Answers
The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.
Hence, Option (B) is correct.
Since, We know that,
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
Hence, We can formulate;
m ∠ABC + m ∠ADC = 180°
m ∠ABC + 94° = 180°
m ∠ABC = 180° - 94°
m ∠ABC = 86°
Similarly, one can find m∠DCB
m∠DAB + m∠DCB = 180°
99° + m∠DCB = 180°
m∠DCB = 180° - 99°
m∠DCB = 81°
Hence, m∠ABC = 86°
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Which percent is equivalent to 2 5/6?
Answers
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
Write expression is equivalent to....Please help...
Answers
Answer:
1/3(b-21)
Step-by-step explanation:
1/3xb= 1/3b and 1/3x-21= -21/3=-7
I need help with that I don't know how to fill it
Answers
When a transversal intersects with two parallel lines eight angles are produced.
The eight angles will together form four pairs of corresponding angles.
we have the measure of angle 8=23°
angle 2=angle 4 =angle 6 =angle 8=23°
we have a supplementary formed by angle 1 and angle 2
angle 1 + angle 2=180°
angle 1 + 23=180
angle 1= 180-23
angle 1=157
angle 1= angle 3 = angle 5 = angle 7 =157°
a. angle 1 157°
b. angle 2 23°
c. angle 3 157°
d. angle 4 23°
e. angle 5 157°
f. angle 6 23°
g. angle 7 157°
the angles in red are equals to 23
the angles in blue are equals to 157
On a calculator display, some years look the same upside down as right side up. What is the first such year in the 21st century?
Answers
Answer:
The first such year is 2002.
Step-by-step explanation:
For them to be the same upside down as right side up, the first and last digit have to be the same.
Since we are in the 21st century, and the years begin with 2, then have to end with 2. So
2xx2.
Numbers that look the same upside down as right side up are: 0,1,2,5,8. So, the first possible year is:
2002
1079 divided by 4 Yeah Also whoever helps thank you :D
Answers
Answer:
269.75
Hope this helps:)
Step-by-step explanation:
Which of the following expressions represents the statement below?
four added to seven times a number
A.
7(n + 4)
B.
4n + 7
C.
4(n + 7)
D.
7n + 4
Answers
Answer:
d
Step-by-step explanation:
7 times a number would be 7n and with addition you can move the numbers around and it won't affect the result.
ircle is 56 cm
EXERCISE 13.6
1. Find the area of circle having : (Take a = 3.14)
(i) radius = 10 cm
Answers
Radius of circle (r) = 10 cm
π = 3.14
\( \rm Area \: of \: circle = \pi {r}^{2}
\\ \\ \rm = 3.14 \times {10}^{2} \\ \\ \rm = 3.14 \times 100 \\ \\ \rm = 314 \: {cm}^{2} \)
"An ordinance requiring that a smoke detector be installed in all previously constructed houses has been in effect in a particular city for 1 year. The fire department is concerned that many houses remain without detectors. Let p= the true proportion of such houses having detectors, and suppose that a random sample of 25 homes is inspected. If the sample strongly indicates that fewer than 80% of all houses have a detector, the fire department will campaign for a mandatory inspection program. Because of the costliness of the program, the department prefers not to call for such inspections unless sample evidence strongly argues for their necessity. Let X denote the number of homes with detectors among the 25 sampled. Consider rejecting the claim that p>= 0.8 if x<= 15.
a. What is the probability that the claim is rejected when the actual value of p is 0.8?
b. What is the probability of not rejecting the claim when p= 0.7? when p= 0.6?
c. How do the "error probabilities" of parts (a) and (b) change if the value 15 in the decision rule is replaced by 14?
Answers
Answer:
a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15) = 0.0173
b) Probability of not rejecting the claim when p = 0.7, P(X > 15) = 0.8106
when p = 0.6, P(X > 15) = 0.4246
c) Check Explanation
The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.
Step-by-step explanation:
p is the true proportion of houses with smoke detectors and p = 0.80
The claim that 80% of houses have smoke detectors is rejected if in a sample of 25 houses, not more than 15 houses have smoke detectors.
If X is the number of homes with detectors among the 25 sampled
a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15)
This is a binomial distribution problem
A binomial experiment is one in which the probability of success doesn't change with every run or number of trials (probability that each house has a detector is 0.80)
It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure (we are sampling 25 houses with each of them either having or not having a detector)
The outcome of each trial/run of a binomial experiment is independent of one another.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 25 houses sampled
x = Number of successes required = less than or equal to 15
p = probability of success = probability that a house has smoke detectors = 0.80
q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.80 = 0.20
P(X ≤ 15) = Sum of probabilities from P(X = 0) to P(X = 15) = 0.01733186954 = 0.01733
b) Probability of not rejecting the claim when p= 0.7 when p= 0.6
For us not to reject the claim, we need more than 15 houses with detectors, hence, th is probability = P(X > 15), but p = 0.7 and 0.6 respectively for this question.
n = total number of sample spaces = 25 houses sampled
x = Number of successes required = more than 15
p = probability that a house has smoke detectors = 0.70, then 0.60
q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.70 = 0.30
And 1 - 0.60 = 0.40
P(X > 15) = sum of probabilities from P(X = 15) to P(X = 25)
When p = 0.70, P(X > 15) = 0.8105639765 = 0.8106
When p = 0.60, P(X > 15) = 0.42461701767 = 0.4246
c) How do the "error probabilities" of parts (a) and (b) change if the value 15 in the decision rule is replaced by 14.
The error probabilities include the probability of the claim being false.
When X = 15
(Error probability when p = 0.80) = 0.0173
when p = 0.70, error probability = P(X ≤ 15) = 1 - P(X > 15) = 1 - 0.8106 = 0.1894
when p = 0.60, error probability = 1 - 0.4246 = 0.5754
When X = 14
(Error probability when p = 0.80) = P(X ≤ 14) = 0.00555
when p = 0.70, error probability = P(X ≤ 14) = 0.0978
when p = 0.60, error probability = P(X ≤ 14) = 0.4142
The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.
Hope this Helps!!!
5/8 of the students at Hawthorne are only Los Angeles Lakers fans. Of those who do not like the Lakers, 3/4 like only the Los Angeles Clippers. a. What fraction of the entire school does not like the Lakers? b. What fraction of the entire school likes the Clippers? c. What fraction of the entire school does not like the Clippers? d. What fraction of the entire school does not like either the Lakers or the Clippers?
Answers
Part A: Fraction of all students who does not like Lakers = 3/8.
Part B: Fraction of all student who likes the Clippers = 9/32
Part C: Fraction of all student who does not likes the Clippers = 23/32.
Part D: Fraction of all student who does not likes either the Clippers or Lakers : 35/32
Define about the fraction:The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.
Given data:
Students who likes only Los Angeles Lakers = 5/8
Students who does not likes only Los Angeles Lakers: 1 - 5/8 = 3/8
From 3/8, only 3/4 like the Los Angeles Clippers.
= 3/8 * 3/4
= 9/32
Now,
Students who does not like the Los Angeles Clippers: 1 - 9/32 = 23/32.
Part A: Fraction of all students who does not like Lakers = 3/8
Part B: Fraction of all student who likes the Clippers = 9/32
Part C: Fraction of all student who does not likes the Clippers = 23/32.
Part D: Fraction of all student who does not likes either the Clippers or Lakers :
= 3/8 + 23/32
= 35/32
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Do 5, 5, and 5 form a right triangle?
Answers
25 + 25 = 50
50 is not the square of 5
Solve the equation and check your solution. 5 t = 7 and one-half Multiply 5t by 5; the answer is 7 and one-half. Divide 5t by 5; the answer is 7 and one-half. Divide both sides by 5; the answer is 1 and one-half. Multiply both sides by 5; the answer is 37 and one-half.
Answers
Answer: the answer is 13 and one-half
Step-by-step explanation:
C
Step-by-step explanation:
Find each unit rate.
$3.00 for 150 golf tees
a.
$0.02 per golf tee
c.
$50.00 per golf tee
b.
$153.00 per golf tee
d.
$0.2 per golf tee
Answers
To check this answer;
0.02 * 150 golf tees = $3
Let me know if this helps :)
Find the indicated probability by using the complementation rule. A percentage distribution is given below for the size of families in one U.S. city. Size Percentage 2 39.9 3 24.4 4 20.1 5 10.8 6 3.3 7 1.5 A family is selected at random. Find the probability that the size of the family is 4 or more. Round results to three decimal places.
a. 0.156
b. 0.844
c. 0.357
d. 0.201
Answers
Answer:
The correct option is c.
Step-by-step explanation:
The percentage probability distribution is:
Size (X) Percentage
2 39.9
3 24.4
4 20.1
5 10.8
6 3.3
7 1.5
Total 100.0
Compute the probability that the size of the family is 4 or more as follows:
P (X ≥ 4) = P (X = 4) + P (X = 5) + P (X = 6) + P (X = 7)
= 0.201 + 0.108 + 0.033 + 0.015
= 0.357
Thus, the probability that the size of the family is 4 or more is 0.357.
The correct option is c.
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answers
Answer:
height = 9.19 ft
Step-by-step explanation:
The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.
The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,
Using ratio
sin ∅ = opposite/hypotenuse
sin ∅ = opp/13
sin 45° = opp/13
cross multiply
13 sin 45 = opp
opp = 13 × 0.70710678118
opp = 9.19238815543
height = 9.19 ft
OrYou can use the following base on your equation(y = 13 cos ∅)
The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.
The adjacent side of the triangle will be the unknown side if we use cosine ratio.
cos ∅ = adjacent/hypotenuse
cos 45° = adjacent/13
cross multiply
From your equation you represented adjacent as y therefore,
y = 13 cos 45°
y = 13 × 0.70710678118
y = 9.19238815543
y = 9.19 ft (which is the required height)
\the picture is up there
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Hello!
TO find the root all you gotta do is 3x3 which gives you 9
Please help meeeeeeee
Answers
Answer:
5040
Step-by-step explanation:
This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.
In the problem mentioned given
Word : Musical
number of words = 7 (all the words are different)
Number of ways to arrange it = 7!
7*6*5*4*3*2*1 = 5040
Hence 5040 is the answer!
In this case, you would do 7x6x5x4x3x2x1. all positive numbers after 7. So your answer in that comes out to 5,040.
Hope this helps!
Question 1 of 10
What is the approximate distance between the points (-3,-4) and (-8, 1) on a
coordinate grid?
O A. 11.40 units
OB. 12.08 units
O C. 7.07 units
D. 3.16 units
Answers
Answer:
Step-by-step explanation:
Answer:
the approximate distance between the points is
√25+25 = 5√2
=7.07
Step-by-step explanation:
Help! I’m confused and need help finding the answer!
Answers
Answer:
y=11x
Step-by-step explanation:
we use formula y2-y1/x2-x1 with 2 of the order pairs
22-11/2-1
11/1
11 is the slope
We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time
When x is zero y is zero so we write it like this
Y=11x
Hopes this helps please mark brainliest
The cougars baseball team played 16 games last year and won 12 of them. They are scheduled to play 28 games. If they end up winning the same percentage,how many games will they win? Pls help ASAP!!
Answers
12/16=.75
21/28=.75
A television cost $950, how much is a 7% tax?
Answers
Answer:
950x7%=66.5
950+66.5=1016.5 with tax
not sure but here you go
Answer:
is 66.5
?/950= 7/100 7x950=6650 6650 división by 100=66.5
Please hurry it’s missing and I need it fast
Answers
3. 82 R 1111 etc
3) 82 with R1
