Answer:
(X+1)²+4(y+3)² = (√-20)²
Step-by-step explanation:
The standard form of expressing equation ic;
(x-a)²+(y-b)² = r²
Given the expression
x²+4y²+2x+24y+21 = 0
Collect the like terms
x²+2x + 4y²+24y+21 = 0
Completing the squares
x²+2x +(2/2)² + 4(y²+6y)+21 = 0+(2/2)²
x²+2x +(2/2)² + 4(y²+6y+(6/2)²)+21 = 0+(2/2)²
x²+2x +1 + 4(y²+6y+(3)²)+21 = 0+1
x²+2x +1 + 4(y²+6y+9)+21 = 0+1
x²+2x +1 + 4y²+24y+36+21 = 0+1
x²+2x +1 + 4(y²+6y+9)+21 = 0+1
x²+2x +1 + 4(y+3)²+21 = 0+1
(X+1)²+4(y+3)² = 1 - 21
(X+1)²+4(y+3)² = -20
(X+1)²+4(y+3)² = (√-20)²
Tiara, a quality assurance inspector at a chocolate factory, checks for product quality using a random sample of 18 pieces of chocolate from a batch of 60, wity 17 white chocolate and 43 dark chocolates. Let p be the proportion of white chocolates in the sample. Part A: Is the 10% condition met in thjs case? Justify your answer. Part B: Is the Normal condition met in this case? Justify your answer.
Answer:
Part A
The 10% rule is not met
Part B
The normal condition is not met
Step-by-step explanation:
The given data of the pieces of chocolate are;
The number of chocolates in the sample, n = 18
The number of white chocolate in the batch = 17
The number of dark chocolates in the batch = 43
Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;
The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]
Part A
The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials
The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation
Part B
The normal approximation can be assumed when we have;
n·p > 10 and n·p·(1 - p) > 10
By plugging in the values for 'n' and 'p', we have;
p = 0.28[tex]\overline 3[/tex] = 17/60
n·p = 18 × 17/60 = 5.1 < 10
n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10
Therefore the normal condition is not met.
help pleass alot of points
Answer:
44
Step-by-step explanation:
[tex]11 + 11 + 11 + 11 = 11 * 4 = 44[/tex]
i need help please help asap
Answer:
Try 11
Step-by-step explanation:
11 -33+63-38=3
Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?
Answer:
2.86 hours
Step-by-step explanation:
Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?
Speed = Distance/time
Distance = Speed × time
t = ?
Hence,
8mph ×t + 6 mph × t = 40 miles
8t + 6 t = 40 miles
14t = 40 miles
t = 40/14
t = 2.86 hours
They will meet in 2.86 hours
ASAP someone please help. Given the following angle measurements for a triangle, find the remaining angle.
a. 53, 58
b. 28, 47
c. 65, 25
Answer:
c
Step-by-step explanation:
Please help and don’t put a random answer.
Answer:
The answer is 13/4
Step-by-step explanation:
I divides and cross miltiplied.
What is the distance between the points (7, -3) and (-5, 6)?
Answer:
The distance between the two points is: √145≈12.04 to 2 decimal places.
Step-by-step explanation:
If using a grid it will make the answer easier to solve.
Answer:
21units
12 units + 9 units
Ms. Powell bought 12 cookies for $4.00 and Ms. Malley bought 8
cookies for $3.50. How much did each person pay for a cookie? And who
had the better deal?
Answer:
Ms. Powell paid around 33 cents for each cookie
Ms. Malley paid around 43 cents for each cookie
Ms. Powell had the better deal
Step-by-step explanation:
Divide the amount paid with the amount of cookies bought so 4 ÷ 12 = 0.3333... and 3.50 ÷ 0.4375...
I hope this helped!
1) Approximately ¢33 per cookie
2) Approximately ¢29 per cookie
Ms. Powell had a better deal
Need help finding the length of AC
Answer:
I would have to say that the length of AC is 22.5
HELP , TIMES ALMOST UP!!!!!!
Answer:
0.8660254 or √3/2
Step-by-step explanation:
Answer:
√3/2
Hope this helps
Grace’s garden is shown below. She is going to buy bags of soil that cover 75 square feet each. How many bags of soil will she need for her entire garden? Use 3.14 for pi.
A. 4 bags
B. 5 bags
C. 6 bags
D. 7 bags
Answer: C. 6 bags
Step-by-step explanation:
To solve this, you need to calculate the area of every shape in the garden and then sum them up.
Semi circle:
Area of semi-circle = (π * radius²) / 2
Radius = Diameter/ 2 = 18/2 = 9 feet
Area = (3.14 * 9²) / 2
= 127.17 ft²
Rectangle:
= Length * Width
= 18 * 8
= 144 ft²
Triangle
= 1/2 * base * height
= 1/2 * 18 * 18
= 162 ft²
Added up:
= 127.17 + 144 + 162
= 427.17 ft²
If each bag covers 75 ft² each, the number of bags needed is:
= Area to cover / Coverage per bag
= 427.17 / 75
= 5.7
= 6 bags
What is the overlap of Data Set 1 and Data Set 2?
high
moderate
low
none
Answer: Low
The overlap of data set 1 and data set 2
use the figure below to answer the question
Answer:
Sin(Ф) = Opposite / Hypotenuse
We know that Opposite = 6, and
Hypotenuse = 3/4 or 0.75
So,
Sin(Ф) = 6 / 0.75
Sin(Ф) = 8
So the value of sin of Ф would be 8
Hope this helps!
Which statement correctly describes gravity?
an attractive force that acts between all objects through contact
an attractive force that acts between all objects without contact
a repulsive force that acts between all objects through contact
a repulsive force that acts between all objects without contact
Answer:
an attractive force that acts between all objects without contact
Step-by-step explanation:
an attractive force that acts between all objects without contact
You are pulled down by gravity when you jump
Answer:
an attractive force that acts between all objects without contact
The force of gravity, first discovered by Isaac Newton, is one of the four fundamental forces. It is a force that is always attractive, and it is exerted between all objects that have mass. Also, the force is exerted even when the two objects are not in contact.
The magnitude of the force of gravity between two objects is given by where
G is the gravitational constant
m1 and m2 are the masses of the two objects
r is the distance between the two objects
Step-by-step explanation:
MRK ME BRAINLIEST PLPZZZZZZZZZZZZZZZZ
A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .
Answer:
[tex]A=256.67ft^2[/tex]
Step-by-step explanation:
From the question we are told that:
Fan oscillates [tex]\theta=250[/tex]
Distance [tex]d=>Raduis\ r=4 feet[/tex]
Since
[tex]250\textdegree =180\textdegree +70\textdegree[/tex]
Generally the equation for the area A is mathematically given by
[tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
Where
[tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]
[tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]
[tex]A_{sm}=25.12ft^2[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=1.55ft^2[/tex]
Therefore the area A is given as
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
[tex]A=25.12ft^2+1.55ft^2[/tex]
[tex]A=256.67ft^2[/tex]
You start at (9, 3). You move right 1 unit. Where do you end?
Answer:
(10, 3)
Step-by-step explanation:
Solve 1/2x times 1/4x-18=6.
Answer:
The answer is 48
Step-by-step explanation:
Have a nice day
Choose all expressions that are equivalent to
to 5/7
Answer:
C,D,E are equivalent to 5/7
ressions, Equations, and Relationships - Readines
What is the approximate value of x in this equation?
6x + 14 = 7 - X
Answer:
x=-3
Step-by-step explanation:
PLEASE I NEED THE ANSWER IN THE NEXT MINUTE
Answer:
Step-by-step explanation:
A
Answer:
96
Step-by-step explanation:
:)
9272827292738hellp plssss
Answer: B. Each month, Zohal read more books than the month before
Step-by-step explanation: The bars went up each month getting higher and higher. Hope this helps!!
Answer:
B.
is the answer
hope it helprd
Find the missing sign.
Solve for X
Answer:
x = 17.9
Step-by-step explanation:
sin 42° = 12/x
x = 12/sin 42°
x = 17.9
Answer:
17.9
Step-by-step explanation:
> sin 42° = 12/x
> x = 12/ sin 42°
> x = 17.9
a day in the month of january is randomly selected. what is the probability of selecting a prime number?
Answer:
70 percent susheeiiesoosos
Classify the polynomial.
2x^5+x^2-2x+4
a. quintic polynomial
b. cubic polynomial
c. quadratic monomial
Reduce each of the following fractions to its simplest form. a. 12⁄18 b. 48⁄54 c. 27⁄90 d. 63⁄77 e. 24⁄32 f. 73⁄365
Answer: A. 2/3 B. 8/9 C. 3/10 D. 9/11 E. 3/4 F. 1/5
Step-by-step explanation:
Please help! I'll give you brainliest if you get it right!
Write the piecewise function for the graph.
Answer:
In the picture
Step-by-step explanation:
First, find a function for each line.
-2x - 2 fits the green line because for every x value, y is -2(x) - 2.
2x + 1 fits the red line because for every x value y is 2(x) + 1.
You also need to include "if." -2x -2 if x < 0.
For the red line, the dot is closed so if x ≥ 0.
Henry takes out a $20,250 student loan to pay for college tuition this year. The interest rate he pays is 6% for 15 years. How much interest will he owe?
Answer:
$1215 x 15 = $18225 This is over 15 years.
Which equation represents the line that is perpendicular to and passes through (-6,-9)?
A.
x = -9
B.
x = -6
C.
y = -9
D.
y = -4
Answer:
y = -9
Step-by-step explanation:
Complete question;
Which equation represents the line y = 1/4 that is perpendicular to and passes through (-6,-9)?
The equation of the line in point slope form is y-y0 = m(x-x0)
Given the equation y = 1/4, the slope of the line is zero
Substitute the slope and the point into the formula;
y -(-9) = 0(x-(-6)
y + 9 = 0
y = -9
Hence the required equation is y = -9
Answer:
C.y = -9Step-by-step explanation:
find the area of the irregular figure. PLEASE!!
The sides are: 3 in, 4 in, 4 in, 5 in, 7 in, 9 in
geometry
Answer:
A = [84]in^2
Step-by-step explanation:
5 x 3 = 15
4 x 2 = 16
9 + 4 = 13 x 4 = 52
52 + 15 + 16 = 84in
I don't know how to do this please help me!
Find the measure of an angle between 0 degrees and 360 degrees coterminal with an angle of -244 degrees in a standard position.
Answer:
to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.
Step-by-step explanation: