Answer:
(x - 3)^2 + (y + 1)^2 = 50.
Step-by-step explanation:
The center of the circle is the midpoint of the diameter
= (-2+8)/2 , (4 - 6)/2
= (3, -1).
The radius^2 can be calculated from one point on the circle ( -2, 4) and the center (3, -1).
The radius^2 = (-2-3)^2 + (4- -1)^2
= 25 + 25 = 50.
So the equation of the circle
is (x - a)^2 + (y - b)^ = r^2 where (a, b) is center and radius = r.
= (x - 3)^2 + (y + 1)^2 = 50
Show all 4 steps of the following:
x - 3/5= 1/6
Answer: x=23/30
Step-by-step explanation: Hope this help :D
David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the
length. What is the area, in square feet, of the piece of wood?
Formula:
Area = Length x Width
Answer:
32
Step-by-step explanation:
8÷2=4 8(length)x4(width)=32(area)
What will happen to a cup of water if it is left in the sun for an extended amount of time? A. It will increase in volume B. It will decrease in volume C. It will stay the same volume
Answer:
c
Step-by-step explanation:
correct me if I'm wrong
Answer:
B-It will decrease in volume
Step-by-step explanation:
If I am not mistaken, the water, if left in the sun, will evaporate when heated, so the volume will decrease.
As part of the Pew Internet and American Life Project, researchers conducted two surveys in late 2009. The first survey asked a random sample of 800 U.S. teens about their use of social media and the internet. A second survey posed similar questions to a random sample of 2253 U.S. adults. In these two studies, 73% of teens and 47% of adults said that they use social networking sites. Use these results to construct and interpret a 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites.
Answer:
The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.
Step-by-step explanation:
Before building the confidence interval we need to understand the central limit theorem and the subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Sample of 800 teens. 73% said that they use social networking sites.
This means that:
[tex]p_T = 0.73, s_T = \sqrt{\frac{0.73*0.27}{800}} = 0.0157[/tex]
Sample of 2253 adults. 47% said that they use social networking sites.
This means that:
[tex]p_A = 0.47,s_A = \sqrt{\frac{0.47*0.53}{2253}} = 0.0105[/tex]
Distribution of the difference:
[tex]p = p_T - p_A = 0.73 - 0.47 = 0.26[/tex]
[tex]s = \sqrt{s_T^2+s_A^2} = \sqrt{0.0157^2+0.0105^2} = 0.019[/tex]
Confidence interval:
Is given by:
[tex]p \pm zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound:
[tex]p - 1.96s = 0.26 - 1.96*0.019 = 0.223[/tex]
Upper bound:
[tex]p + 1.96s = 0.26 + 1.96*0.019 = 0.297[/tex]
The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.
PLEASE HELP THIS IS DUE SOON!
Sales Hester sells televisions. She earns a fixed amount for each television and an additional $20if the buyer gets an extended warranty. If Hester sells 19 televisions with extended warranties, she
earns $1,710. How much is the fixed amount Hester earns for each television?
The fixed amount Hester earns for each television she sells is $]
Answer:
380
Step-by-step explanation:
multiply 20 x 19
Which is a shrink of an exponential growth function?
f(x) = One-third(3)x
f(x) = 3(3)x
f(x) = One-third (one-third) Superscript x
f(x) = 3 (one-third) Superscript x
Answer:
3 zero
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
Hope This Helps
Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?
a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y
9514 1404 393
Answer:
a. the volume of cube y is 125 times the volume of cube x
Step-by-step explanation:
The volume of cube x is ...
V = s³ = (1 in)³ = 1 in³
The volume of cube y is ...
V = (1 in + 4 in)³ = (5 in)³ = 125 in³
The volume of cube y is 125 times the volume of cube x.
the difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
4. Triangle Relationships- Interior and Exterior Angles
Find the measure of angle 1 and angle 2. Be sure to show all work related to each answer.
S
a. m21
42°
1/2
30°
M
b. M22
A
Answer:
Value of ∠1 = 102°
Value of ∠1 = 72°
Step-by-step explanation:
Given:
∠ S = 42°
∠ A = 30°
Find:
Value of ∠1
Value of ∠2
Computation:
Using angle sum property;
Sum of all interior angle of a triangle = 180°
∠ S + ∠ A + ∠ 1 = 180
42 + 30 + ∠ 1 = 180
72 + ∠ 1 = 180
∠ 1 = 180 - 72
∠ 1 = 102
Value of ∠1 = 102°
∠ 1 and ∠ 2 makes a straight line
So,
∠ 1 + ∠ 2 = 180
102 + ∠ 2 = 180
∠ 2 = 180 - 102
∠ 2 = 72
Value of ∠1 = 72°
i need help please
...... no linksssssssssss
Answer:
What do you want us to find???
Step-by-step explanation:
Which equation represents a line that is parallel to the line y = - 4x +5?
(1) y = - 4x + 3
(2) y=1/4x+3
(3) y=-1/4x+5
(4) y = 4x +5
option 1 is the answer.
VERY URGENT PLS LOOK AT PICTURE
Answer:
Number of year = 25 year and 7 month (Approx.)
Step-by-step explanation:
Given:
Amount deposit = $200,000
Future amount = $1,000,000
Rate of interest = 6.5%
Find:
Number of year
Computation:
Using compound amount formula;
A = P[1+r]ⁿ
1,000,000 = 200,000[1+6.5%]ⁿ
1,000,000 / 200,000 = [1+6.5%]ⁿ
5 = [1+0.065]ⁿ
n = 25.557
Number of year = 25.557
Number of year = 25 year and 7 month (Approx.)
what is the area of this figure?
Answer:
4 ssquare units
Step-by-step explanation:
pleaseee helpppp!!
Answer:
x = 148
Step-by-step explanation:
vertical angles are congruent
the angle with a measure of 148° and the angle labeled "x" are vertical angles.
Hence, x = 148
Answer:
x=148 because the opposite angles are equal
also, the rest of the smaller angles are both 32 degrees if you need them
you can check because 148+148+32+32=360
hope it helps:)
Plz will be brainleist and worth 20 pt
Answer:
B
Step-by-step explanation:
J = distributive
G = commutative
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
heyy matee...
see
Vertices (V) = 8
Faces (F) = 6
Edges (E) => F + V - E = 2 (EULER'S FORMULA)
so 6 + 8 - 2 = E => E = 12
now just look at options
and however its a common thing that if Vertices are 8 and Faces are 6 and Edges are 12 then it is cube or cuboid
and another name of cuboid is rectangular prism ;)
hence answer is option c - rectangular prism
brainliest possible ?
If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?
Answer:
32 minutes or .5333 of an hour
Step-by-step explanation:
can someone help me on this
Answer:
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
Step-by-step explanation:
To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.
Let's solve the given problem:
Problem 1:
[tex] \frac{3}{4} = \frac{x}{12} [/tex]
To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.
Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.
Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.
Thus:
[tex] \frac{3}{4} = \frac{3*3}{4*3} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.
Problem 2:
[tex] \frac{1}{3} = \frac{2}{x} [/tex]
The numerator, 1, was multiplied by 2 to get 2.
Therefore:
[tex] \frac{1}{3} = \frac{1*2}{3*2} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
Problem 3:
[tex] \frac{2}{4} = \frac{x}{y} [/tex]
We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.
Let's multiply by 2 to get am equivalent fraction.
[tex] \frac{2}{4} = \frac{2*2}{4*2} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
Find the value of H if H = I^2 R^t÷4.2,R =8.3,I=2.4 and t=37
Answer:
[tex]H = 6492.97[/tex]
Step-by-step explanation:
Given
[tex]H = \frac{I^2Rt}{4.2}[/tex]
[tex]R =8.3;\ I=2.4;\ t=37[/tex]
Required
Find H
We have:
[tex]H = \frac{I^2Rt}{4.2}[/tex]
[tex]H = \frac{37^2 * 8.3 * 2.4}{4.2}[/tex]
Solve the exponents
[tex]H = \frac{1369 * 8.3 * 2.4}{4.2}[/tex]
[tex]H = \frac{27270.48}{4.2}[/tex]
[tex]H = 6492.97[/tex]
Which statement is true about the equations -3x + 4y = 12 and %x-Ay=17
O The system of the equations has exactly one solution at (-8, 3).
The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution, the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.
Answer:
No solution, the lines are parallel.
Step-by-step explanation:
Any line can be represented by the equation
y = mx + b
where m is the slope and b is the y intercept.
-3x + 4y = 12
4y = 3x + 12
y = 3/4 x + 3
AND
1/4 x - 1/3 y = 1
- 1/3 y = - 1/4 x + 1
-4y = -3x + 12
4y = 3x - 12
y = 3/4 x - 3
If you get both equations in this form it is evident that the slopes m are the same (parallel) but the y intercept's b are different (not the same line). Therefore no solution.
Alexa and Savannah are both driving along the same highway in two different cars to
a stadium in a distant city. At noon, Alexa is 600 miles away from the stadium and
Savannah is 350 miles away from the stadium. Alexa is driving along the highway at a
speed of 50 miles per hour and Savannah is driving at speed of 25 miles per hour. Let
A represent Alexa's distance, in miles away from the stadium t hours after noon. Let
S represent Savannah's distance, in miles, away from the stadium t hours after noon.
Graph each function and determine how far both Alexa and Savannah are from the
stadium at the moment they are an equal distance from the stadium.
The diagram below shows a side view of a set of stairs. What is the area shown?
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
Answer:
468
Step-by-step explanation:
Answer:
468
Step-by-step explanation:
First, we want to break this up into separate pieces, there will be 3 rectangles and 1 square.
each rectangle has a height of 6 and a width of 24. so the area of each rectangle would be 6*24 or 144, then we multiply that by 3 because there are 3 rectangles, when we multiply 144*3 we will get 432.
Now we must solve for the area of the square, on each side, it is 6 cm so we multiply 6*6 so we get 36, that's all we need to do for that now.
to get our final answer we add both answers together so, 432+36 then our final answer is 468 cm
What value of N balances the scale
HELPPPPPPPPPP FAST PLSSSSSSSSSSSSSSSSSSSSS
Write the equation of a linear function that has a slope of ‒3 and a y-intercept of ‒2.
Answer:
y=-3x-2
Step-by-step explanation:
Which of the following situations can be represented by C = 10 + 0.44n?
Answer:
10.44
Step-by-step explanation:
Which of the fractions shown has the greatest value?
24
47
13
49
The current altitude of the plane is 15400 feet above the ground and the plane's horizontal distance to the airport is 200000 miles away. What angle of depression must the pilot make on his descent in order to safely land on the runway>
Answer:
0.441°
Step-by-step explanation:
tan = 1540/200000
tan = 0.0077
tan-1(0.0077) = 0.441
angle of depression is 0.0441°
HELP ASAP!!
Combine like terms:
-7x + 8 - 4x - 9
answers:
1. -11x - 1
2. -3x - 1
3. -11x + 17
4. -12
Answer:
The answer for -7x + 8 - 4x - 9 is 1. -11x-1
Find the surface area of the regular pyramid
Answer:
26.8
Step-by-step explanation