In the data set below, what is the variance?
6 7 2 1 8 29
In the data set below, what is the variance?
6 7 2 1 8 29
s^ 2 ≈ 105.368
In the diagram shown, what is the ratio of shaded parts to unshaded parts?
1 shaded to 5 unshaded
5 shaded to 1 unshaded
6 shaded to 5 unshaded
1 shaded to 6 unshaded
Answer: a
Step-by-step explanation:
35,012,129 ____ 35,011,129 greater than less than PLEASE HELP
ANSWER FREE COINS JUST SAY =
Answer:
35,012,129 > 35,011,129
Answer:
>
Step-by-step explanation:
everything is the same but the 12 and 11
Which number line can you use to simplify 2 + (–8)?
Answer:
D
Step-by-step explanation:
The question has 2 + (-8), and in the timeline, your starting point has to be in positive 2. As for the -8, the negative goes to the left, and therefore your answer is D, as that is the only timeline that follows the instructions of the question,
Answer:
[tex]\Huge \boxed{\mathrm{D}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
2 + ( -8 )
2 is on the number line.
When -8 is added to 2, the value decreases, and it moves 8 units to the left side.
The result is -6.
[tex]\rule[225]{225}{2}[/tex]
write the expression without using exponents (-2y)^4
Answer:
16yyyy
Step-by-step explanation:
Getting rid of exponents:
(-2y)^4 = (-2)^4*y^4 =16yyyyStep-by-step explanation:
(-2y)^4
= (-2) ^4 ( y) ^4
= (16) (yyyy)
= 16yyyy
Find an equation of the line passing through the point (−6,−5) that is parallel to the line y=4/3x−5
Answer:
y = [tex]\frac{4}{3}[/tex] x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{4}{3}[/tex] x - 5 ← is in slope- intercept form
with slope m = [tex]\frac{4}{3}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 6, - 5) into the partial equation
- 5 = - 8 + c ⇒ c = - 5 + 8 = 3
y = [tex]\frac{4}{3}[/tex] x + 3 ← equation of parallel line
Please help me out with this
Answer:
-5^11Step-by-step explanation:
[tex]\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5+6}\\\\=\left(-5\right)^{11}\\\\=-5^{11}[/tex]
if 5 persons can do the work in 28 days find the number of persons required to do the same in 7 days
the answer is 35 people
b
r
a
i
N
L
Y
B
Y
P
A
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S
Nearly two out of ten American women end their childbearing years without having borne a child. What percent of American women end their childbearing years without having borne a child?
Answer:
20%
Step-by-step explanation:
Turn 2 out of 10 into a percentage.
[tex]\frac{2}{10}[/tex] × [tex]\frac{10}{10}[/tex] = [tex]\frac{20}{100}[/tex] → 20%
ABCD. If AB=5x and CD=3x + 10, find CD
A. 25
B. 2
C. 5
D. 20
Answer:
c
Step-by-step explanation:
Answer:
A.25
Step-by-step explanation:
Pls help me with this!!!
Answer:
30.39in^2 (^2 means squared)
Step-by-step explanation:
3 x 3 = 9in^2
3.1 x 6.9 =21.39in^2
9 + 21.39 = 30.39in^2
A sugar cookie recipe that makes 4 dozen cookies calls for 2 cups of white sugar. How much white sugar would you need to make 3 dozen cookies?
Answer:
1.5 cups of sugar
Step-by-step explanation:
4/2=2
2 dozens of cookie uses 1 cup of sugar.
3/2=1.5
3dozens of cookie needs 1.5 cup of sugar.
A sector of a circle of radius has an area of . Find the central angle of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, But I would show how to solve the problem
The area of a sector of a circle with radius r and a subtended central angle θ in degree has an area of:
Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]
Where θ is in degrees.
If the central angle is in radian, then the area of the sector is given as:
[tex]Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2[/tex]
Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.
Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3
Therefore:
[tex]Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\[/tex]
Simplify -k-(3k-6n)+2n when k=-3 and n=-5
Steps to solve:
-k - (3k - 6n) + 2n; k = -3, n = -5
~Substitute and simplify
-(-3) - (3(-3) - 6(-5)) + 2(-5)
3 - (-9 + 30)) - 10
~Use PEMDAS and solve the rest.
3 - 21 - 10
-18 - 10
-28
Best of Luck!
Answer:
the answer is -22
Step-by-step explanation:
-k -(3k - 6n) + 2n
when k = -3 & n = -5
substitute the values of k and n
-(-3) -[3(-5) - 6(-5)] + 2(-5)
3 - [-15 - (-30)] + (-10 )
3 - ( -15 + 30 ) - 10
3 - 15 - 10
-12 - 10
-22
hope this helps (^▽^)
What is the real part of the following complex number?
-3+ 2iV2
Answer:
Option (3)
Step-by-step explanation:
If a complex number is in the form of (a + ib), real part of the complex number is 'a' and imaginary part is 'b'.
Given complex number is (-3 + 2i )
Comparing this number with (a + ib), real part of the number will be (-3) and imaginary part of the number will be 2.
Option (3) will be the answer.
What are the angle measures?
Answer:
m1 - 120
m2 - 60
m3 - 60
m4 - 60
m5 - 30
A triangle is 180 degrees. An equilateral triange's angles are all the same.
Jenna has $500 in her account and withdraws $50 every Sunday to pay for her account after n lessons,
Answer:
What do you want for the answer?
This?
500-50n
Step-by-step explanation:
Solve: log (2x + 1) = log (x - 1).
Answer:
no solution
Step-by-step explanation:
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
2 x + 1 = x − 1
Solve for
x .
x = − 2
Exclude the solutions that do not make
log ( 2x + 1 ) = log
( x − 1 ) true.
No solution
This the actual full picture of the question.
Answer:
Center: (4, -6)
Radius: 2
Step-by-step explanation:
Circle Equation: (x - h)² + (y - k)² = r²
(h, k) is center
r = radius
Step 1: Write out equation
(x - 4)² + (y + 6)³ = 4
Step 2: Identify variables
h = 4
k = -6
r² = 4
Step 3: Find answers
Center = (4, -6)
√r² = √4
r = 2
PLEASE HELP! Simplify radical square root -48
Answer:
B
Step-by-step explanation:
4×4×3=48
4 comes out.
a - never comes out of radical and stays in the radical with 3.
the simplest way I could explain
Answer: OPTION 3
Step-by-step explanation:
First of all, you need to know the concept of imaginary number or i.
i (imaginary number)=√-1
-----------------------------------------------
√-48=√16 × √3 × √-1 ⇔ This splitting is just help you to understand better.
√16=4 ⇔ This is a perfect square
√3=√3 ⇔ Nothing to change
√-1=i ⇔ imaginary number as mentioned before.
√-48=√16 × √3 × √-1
√-48=4 × √3 × i
√-48=4i√3
Write an equation in slope-intercept form for the line described. Slope 4, passes through (6,9)
Answer:
y= 4x -15
Step-by-step explanation:
Please see attached picture for full solution.
Two brown and 8 red birds are flying. What is the probability that two brown sit together?
The probability that two brown sit together is 0.2.
What is the meaning of arrangements?
the act of putting things in order
Here, it is given that ;
there are Two brown and 8 red birds.
Total number of ways 10 distinct birds can sit = 10!
Now,
When out of total arrangement the number of ways in which two brown birds and 8 red birds can sit is :
¹⁰C₂ = 10!/ (2! x 8!)
¹⁰C₂ = 45 ways
Now, consider two brown birds as one bird then the number of arrangement will be :
⁹C₁ = 9!/1! = 9
The probability that two brown sit together will be :
9/45 = 0.2
Therefore, the probability that two brown sit together is 0.2.
Read more about probability at:
https://brainly.com/question/8217340
#SPJ2
what is α3 = -343 answer
Answer:
a3= -343
divade both side by 3 to make a the subject
a3/3= -343/3
a = -114.3
A truck leaves Pensacola heading east at 50 mph. One hour later, a second
truck leaves Pensacola heading east at 65 mph. How long will it take the
second truck to overtake the first truck?
Answer:
The answer is 10/3.
Step-by-step explanation:
Think of position. After one hour just as the fast truck starts, the slow truck is at a position 50 miles. Let's see where they aree at time t hours after the fast truck begins his trip: Slow Truck: 50 miles + (50 miles/hour)×t Fast Truck: (65 miles per hour)×t .
What is t when their positions are the same?
50 + 50t = 65t
50 = 65t - 50t
50 = 15t
50/15 = t
10/3 = t
t = 10/3.
Round 521,742 to the nearest thousand.
Answer:
the answer to the promblem is 521,000
Answer:
522,000
Step-by-step
If the number is 5 you let it go up if its below you let it go down.
This histogram shows the percentage of the population that smokes tobacco for 123 countries. Which one of the following values is the most reasonable estimate for the IQR?
Answer:
9.5
Step-by-step explanation:
The formula for interquartile range = Third Quartile - 1st Quartile
= Q3 - Q1
Looking at the histogram given, the class width = 6
Step 1
We find the number of values = n
n = 1 + 12 + 26 + 27 + 31 + 19 + 6 + 1
= 123
Frequency Cumulative Frequency
1 1
12 13
26 39
27 66
31 97
19 116
6 122
1 123
Step 2
We find Q1 ( First Quartile)
Q1 =1/4 (n + 1) value
Q1 = 1/4(124) value
= 31st value
The first Quartile = 31st value
31 - 13 = 18
31st value = 12 + (18/26 × class width)
= 12 +( 18/26 × 6)
First Quartile = 16.153846154
Third Quartile =Q3 =3/4 (n + 1) value
Q1 = 3/4(124) value
= 93rd value
The first Quartile = 93rd value
93 - 66 = 27
93rd value = 1 + (27/97 × class width)
=24 +( 27/97 × 6)
Third Quartile= 25.670103093
Interquartile range = Q3 - Q1
= 25.670103093 - 16.153846154
= 9.5162569392
Approximately = 9.5
Inter Quartile range = 9.5
The hypotenuse of a right triangle is 15cm long. One of the triangle’s legs is two times the length of the other leg. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth. 1
Step-by-step explanation:
Given that,
The hypotenuse of a right triangle is 15 cm
Let x is the length of the other leg. So, the length of the first leg is 2x.
Using Pythagoras theorem for the right angle triangle such that,
hypotenuse² = base²+height²
Let base is x and height is 2x
So,
[tex]15^2=x^2+(2x)^2\\\\225=x^2+4x^2\\\\225=5x^2\\\\x^2=45\\\\x=3\sqrt{5} \ cm[/tex]
Hence,
Base = [tex]3\sqrt{5} \ cm[/tex]
Height = [tex]2\times 3\sqrt{5} \ cm=6\sqrt5\ cm[/tex]
Hyoptenuse = 15 cm (given)
NEED THIS QUESTION PLEASE AND THE WORK SHOWN PLEASE what does the runner up in a miss universe contest win
Answer:
You need a protractor to measure each angle otherwise you can't really assume each angle because it won't be accurate
- 3/5 + - 8/2 = in simplified way.
Answer:-23/5
Step-by-step explanation:
-3/5-8/2
-3/5-4
-3+20/5
-23/5
Answer:
-23/5
Step-by-step explanation:
-3/5 + - 8/2
Find the least common multiple of 5 and 2.
That would be 10.
That means we have to multiply the first fraction by 2/2 and the second one by 5/5
-3/5*2/2
Multiply the numerators together and the denominators together.
-6/10
Repeat with the second fraction.
-8/2*5/5
-40/10
Our new expression is
-6/10+-40/10
-46/10
Simplify
-23/5
As a mixed number that would be:
-4 3/5
write the equation of a line in any form that is parallel 2y = 4x + 8 through the point of (1,3) plz and thank you
Answer:
y = 2x+1
Step-by-step explanation:
[tex]2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1[/tex]
Step-by-step explanation:
Hey, there!!
Here, the given point is (1,3).
Now, Using one point formula we need to find the equation of the line passing through point (1,3).
Now,
[tex](y - y1) = m1(x - x1)[/tex]
Keeping values,
[tex](y - 3) = m1(x - 1)[/tex]
It is the 1st equation.
Similary, you have another equation,
2y = 4x + 8..............2nd equation.
or, 4x - 2y +8 =0
M2 from equation 2,
[tex] = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex] = \frac{ - 4}{ - 2} [/tex]
Therefore, m2 = 2
Now,
As per the condition of parallel lines,
m1 = m2 = 2
Now, substituting the value of m1 in equation 1st.
(y-3) = 2 (x-1)
y-3 = 2x - 2
or, 2x-y+1 = 0 ......is the required equation.
Hope it helps...