Answer:
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle.
From the graph given in the picture,
Center of the circle → (-1, 1)
Radius of the circle = 3 units
Therefore, standard equation of the circle will be,
(x + 1)² + (y - 1)² = 3²
(x + 1)² + (y - 1)² = 9
General equation of the circle is the expanded form of the standard equation.
x² + 2x + 1 + y² + 1 - 2y = 9
x² + y² + 2x - 2y + 2 = 9
x² + y² + 2x - 2y - 7 = 0
Therefore, general equation of the given circle is,
x² + y² + 2x - 2y - 7 = 0
PLSSS HELP AND GIVE THE RIGHT ANSWER!!!!!!!!!!!!!!!!!!!
The fourth graders are having lunch in the schoolyard. Two classes of 30 students each, 2 teachers and 2 parents will be there. If 8 people sit at each table, how many tables will be needed for all the people having lunch in the schoolyard?
a) 8
b) 60
c) 64
d) 9
Answer:
8 tables
Step-by-step explanation:
2 class * 30 students + 2 teachers + 2 parents
= 64 people
64 people * 1 table/8 people = 8 tables
Mark brainliest if this helped
Mark brainliest if this helped
Step-by-step explanation:
8 tables because 30+30 =60
and 2+2=4 which is 64 and 8×8=64
Michael and Themba are travelling from Cape town to Johannesburg by car.They travel 30km in 18 minutes and they continue at this constant speed.how far will they have travelled in 1 hour 48 minutes
Answer:
180km
Step-by-step explanation:
1hour48mins =108mins
108÷18=6
6×30=180km
Which choice is equivalent to the fraction below?
5/16
O A. 5.16
O B. 5 divided 16
O C. 5-16
O D. 16 divided 5
Answer:
I think A
Step-by-step explanation:
But im not sure
A chord that is 24 cm long is 4 cm closer to the center of a circle than a chord that is 20 cm long. What is the radius of the circle?
Answer:
(mkkwkskskwkwskskwkwi
Hi please help me I'm in the middle of a test and I don't want to get grounded
Answer:
8(3j-2)
Step-by-step explanation:
Answer:
A.
[tex]8(3j - 2)[/tex]
Can someone please help me find the area of the figure.
Answer:
area = 41 ft²
Step-by-step explanation:
area = (3x3) + (4x8) = 41 ft²
The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!
*** I will make you brainiest if the answer is correct ***
please help!! will give brainliest ASAP
Answer:
c = 36.06
Step-by-step explanation:
a² + b² = c²
20² + 30² = c²
400 + 900 = c²
c² = 1300
[tex]\sqrt{c^2} =\sqrt{1300}[/tex]
c = 36.06
Find the median for the numbers Below
20 22 24 26
The median is going to be 23.
Brennan ate 2 1/4 apples.Then he ate another 1 2/4 apples the next day.How many apples did Brennan eat altogether?Write in simplest.
Answer:
UwU your welcome!
Step-by-step explanation:
Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
Please help very urgent
Answer:
330 degrees
Step-by-step explanation:
look at 4th quadrant of unit circle
(cos,sin)
(sqrt3/2,-1/2)=330
When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3
Answer:
x = 1 and x = 7
Step-by-step explanation:
The given equation is [tex]x^2 - 8x + 7 = 0[/tex].
We need to solve the equation.
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = 1, b = -8 and c = 7
Put values,
[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]
So, the values of x are x = 1 and x = 7.
a lorry is travelling at 13.5m/s along a stretch of road
Answer:
Proved
Step-by-step explanation:
This question is incomplete. The complete details are:
[tex]v = 13.5m/s[/tex] --- speed of the lorry
[tex]v_2 =50km/h[/tex] --- speed limit on the road
Required
Prove that the lorry is within the speed limit
To do this, we simply convert the speed of the lorry to km/h.
So, we have:
[tex]v = 13.5m/s[/tex]
[tex]1m = 0.001km[/tex]
and
[tex]1s = \frac{1}{3600}h[/tex]
So, the expression becomes:
[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]
[tex]v = \frac{0.0135km}{1/3600h}[/tex]
Rewrite as:
[tex]v = 0.0135km/h * 3600[/tex]
[tex]v = 48.6km/h[/tex]
48.6km/h is less than 50km/h (the speed limit).
Hence, the lorry is within the speed limit.
Question 3
The time needed for surgeons to complete a specific knee surgery is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes.
What is the probability that a surgery will last for more than 98 minutes?
0.0010
0.0359
0.9664
0.9641
Answer:
I would say d.im pretty sure tho
.15 x (4.3 - 2.417 )
Answer:
28.24500
Step-by-step explanation:
PLEASE HELP!
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.
Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)
Answer:
(0,1)
Step-by-step explanation:
I put it in desmos :)
Answer:
0,1
Step-by-step explanation:
please help!!! PLEASE
Answer:
a) height = 1.88 m
b) slide length = 2.92 m
Step-by-step explanation:
a) sin 70° = x/2
0.9397 = x/2
x = 1.88 m
b) sin 40° = 1.88/slide
0.6428 = 1.88/slide
slide = 2.92 m
Ms. McClain conducted an experiment
with a 6-sided number cube. The table
shows the number of times each number
landed:
(I'll give brainlist)
Answer: 1
Step-by-step explanation:
Experimental probability is the actual result you get from an experement.
Theoretical probability is the change that you will get that result.
(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)
therefore,
1/6 is the Theoretical probability because you are using a six-sided number cube.
for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.
1/6 equals 8/48.
therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.
6 is not one of the answer choices listed so 1 must be your answer.
Question Help
Fund A sells for $15 a share and has a 3-year average annual return of $0.25 a share. The beta value is 1.07.
Fund B sells for $17 a share and has a 3-year average annual return of $0.91 a share. The beta value is 0.77.
Jonquin wants to spend no more than $3600 investing in these two funds, but he wants to obtain at least $80
in annual revenue. Jonquin also wants to minimize the risk. Determine the number of shares of each fund that
Jonquin should buy.
Set up the linear programming problem. Let a represent the number of shares in Fund A, b represent the
number of shares in Fund B, and z represent the total beta value.
Minimize
z=0
subject to
15a + 17b
0.25a +0.91b
a 20, b20.
(Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)
Answer:
sana all may jowa jowain na kita
determine which of the following pairs of fractions are equivalent.
1)4/5 and 16/20
no links or photo
Answer:
explanation
Step-by-step explanation:
just multiply the numerator and the detonator by 4 and u get 16/20
Somebody please help me!!!
Answer:
(-1,6) is where the point would be.
Just a reflection across the y axis.
Answer:
(-6, 1)
Step-by-step explanation:
I rotate 270 degrees means to turn 90 degrees clockwise 3 times, If You rotate once it is in the +x, -y rotate again -x, -y, and the last time is -x +y. Please give brainliest if this is helpful. Sorry if this is confusing :)
The other person did a 180 degrees rotation instead of 270
According to the Insurance Institute for Highway Safety, the national rate for 16-year-old males was 210 accidents for every 1000 drivers (21%) during the year 2000. In a large city in the Midwest, a random sample of 150 16-year-old male drivers found that 25 of them had been in an accident during the year 2000. Does this city have a lower proportion of accidents by 16-year-old male drivers than the national proportion?
Answer:
Yes. The city has a lower proportion of accidents by 16-year-old male drivers than the national proportion (16.7% compared to 21%).
Step-by-step explanation:
a) Data and Calculations:
Number of 16-year-old males involved in driver accident during year 2000 = 210
Sample number of drivers = 1,000
National rate of accidents for 16-year-old males for every 1,000 drivers = 21% (210/1,000 * 100)
Random sample of 16-year-old male drivers in a Midwest city = 150
Number of them involved in driver-accidents = 25
Proportion of 16-year-old males involved in driver-accidents = 25/150 * 100 = 16.7%
The city's 16.7% proportion is lower than the national proportion of 21%.
Help due 30 mins....
Please help!!
Dont put any link or put any random answer or you will be reported
Answer:
5
Step-by-step explanation:
3,4,4,5,5,5,5,7,7
If you cross equally on both sides them the median is 5
What percent of 315 of 126.
Answer:
396.9
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
126/315
126/315×100/100=40/100
40
A rectangle has a perimeter of 66 inches. The length is 5 inches longer than the width. What is the length of the rectangle?
A.19 in
B.14 in
C.30.5 in
D.28 in
Answer:
I think that it is A. 19
Step-by-step explanation:
I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.
P=66
L=19
W=14
Sorry if I'm wrong.
NEED HELP FAST‼️‼️
What are the vertices of Triangle A'B'C' after Triangle ABC is reflected across the y-axis?
A (-5,3), B(-1,-3) and C(2,0)
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
17% off a $35 dresser
Answer:
Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars
Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. The article Evaluation of Adding Distance Information to Freeway-Specific Service (Logo) Signs (J. of Transp. Engr., 2011; 78-888) reported that in one investigation, six sites along Virginia interstate high ways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
The cited article included the statement A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs. Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] a seventh site were to be randomly selected among bearing service signs, between what values predict the difference in number of crashes to lie?
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.