Answer:
1) The mean = 41
The standard deviation = 13.379
2) The mean = 40.67
The standard deviation = 12.365
3) The mean and standard deviation will remain the same
4) The new mean = 44.5
The new standard deviation = 13.58
5) The mean = 42.25
The standard deviation = 13.83
Step-by-step explanation:
The combines mean is given by the formula;
[tex]\overline {x_{12}} = \dfrac{n_1 \bar x + n_2 \bar x}{n_1 + n_2}[/tex]
The combined standard deviation is given as follows;
[tex]\sigma_{12} = \sqrt{\dfrac{n_1 \times \left (\sigma^2_{1} + d^2_1 \right) + n_2 \times \left (\sigma^2_{2} + d^2_2 \right)}{n_1 + n_2} }[/tex]
d₁ = [tex]\overline{x_{12}}[/tex] - [tex]\overline {x_1}[/tex]
d₂ = [tex]\overline{x_{12}}[/tex] - [tex]\overline {x_2}[/tex]
Substituting the known values, we have;
[tex]\overline {x_{12}} = \dfrac{ 42 + 40}{2}=41[/tex]
d₁ = 41 - 42 = -1
d₂ = 41 - 40 = 1
[tex]\sigma_{12} = \sqrt{\dfrac{ \left (16^2 + 1 \right) + \left (10^2 +1 \right)}{2} } = 13.379[/tex]
2) When n₁ = 1, n₂ = 2, we have;
[tex]\overline {x_{12}} = \dfrac{ 2 \times 42 + 4 \times 40}{6} \approx 40.67[/tex]
d₁ = 40.67 - 42 = -1.33
d₂ = 40.67 - 40 = 0.67
[tex]\sigma_{12} = \sqrt{\dfrac{ 2 \times \left (16^2 + 1.33^2 \right) + 4 \times \left (10^2 +0.67^2 \right)}{6} } \approx 12.365[/tex]
3) The mean and standard deviation will remain the same
4) The new mean = (42 + 47)/2 = 44.5
The new standard deviation [tex]\sigma_{12} = \sqrt{\dfrac{ \left (16^2 + 2.5^2\right) + \left (10^2 +2.5^2\right)}{2} } \approx 13.58[/tex]
5) [tex]\overline {x_{12}} = \dfrac{ 44.5 + 40}{2}=42.25[/tex]
[tex]\sigma_{12} = \sqrt{\dfrac{ \left (16^2 + 2.5^2\right) + \left (10^2 +4.5^2\right)}{2} } \approx 13.83[/tex]
3.3x10^9+2.6x10^9+7.7x10^8
Write the numbers from least to greatest
8.062, 8.26, 8.026, 8.6
Answer:
8.026, 8.062, 8.26, 8.6
Step-by-step explanation:
Answer:
Hi! I'm happy to help!
Step-by-step explanation:
8.026, 8.062, 8.26, 8.6
five is 6 less than one third of a number
Answer:
The equation should be
n is used to represent a number.
1/3 is in fraction form
It also says 6 less than 1/2 of a number, so -6 should be after 1/3n. The operation happening between 1/3 and n is multiplication
Your final equation: 5=1/3n-6
Answer:
n = 33
Step-by-step explanation:
[tex]5=\frac{1}{3} n-6[/tex] ..... (1)
(1) × 3
15 = n - 18 ⇒ n = 33
Need Answer ASAP 5 min.
Answer:
48
Step-by-step explanation:
55+65=120 and 2/5 of 120 is 48
Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute. Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute. How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital
Answer:
750 minutes
Step-by-step explanation:
Let the number of minutes be represented as x
1 cent = 0.01
Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.
$39.95 + 0.01x
Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.
$9.95 + 0.05x
How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?
This is calculated as:
Beetle cellular = Salamander digital
$39.95 + 0.01x = $9.95 + 0.05x
Collect like terms
$39.95 - $9.95 = 0.05x - 0.01x
$30.00 = 0.04x
x = $30.00/0.04
x = 750 minutes
A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.
HAPPY THANKSGIVING AGAIN I NEED HWLP ASAP
[tex]-0.2\sqrt{x^2}[/tex] You have to simplify this
Answer:
The simplified answer to that is -0.2x.
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
-0.2x
Step-by-step explanation:
If x is negative then,
-0.2(-2) = 0.4
3125x=−62 value of x.
Answer:
x= -0.01984
Step-by-step explanation:
You divide both sides by 3125 to get x alone.
You get x=-0.01984
Hope this helps!
4. x =
a. 20°
b. 240
C. 28°
(5x)
120°
d. 30°
An exterior angle equals the sun of the two opposite inside angles:
5x = 120 + x
Subtract 1 x from both sides:
4x = 120
Divide both sides by 4:
X = 30
The answer is D. 30
A carnival ride consists of four circular cars - a b c d - each of which spins about at its center point The center points of cars a and b are attached by a straight beam as are the center points of c and d The 2 beams are attached at their midpoints by a rotating arm. A plan for the ride uses coordinate plane in which each unit represents one meter. In the plan, the center of car A (-6,-1) and B (-2,-3) and C (3,4) and D (5,0). Each car has a 3m diameter
Answer:
Hello your question is incomplete attached below is the complete question
Answer : The shape of the fence will be a circle
dimensions of the fence are : radius = 6.5 meters
Step-by-step explanation:
First we calculate the length of the different arms
AB = [tex]\sqrt{(-2+6)^2 + (-3+1)^2}[/tex]
≈ 4.47
CD = [tex]\sqrt{(5-3)^2 + (0-4)^2}[/tex]
≈ 4.47
Next we calculate the midpoint of these two arms
M1 = [tex]( \frac{-6-2}{2} , \frac{-1-3}{2} )[/tex] = ( -4, -2 )
M2 = [tex]( \frac{3+5}{2} , \frac{0+4}{2} )[/tex] = ( 4,2 )
hence midpoint of M1,M2 =( M ) = ( 0,0 )
finally considering M calculate the distance between M and car B,D
MB = [tex]\sqrt{(0+2)^2 + (0+3)^2}[/tex] = 3.60
MD = [tex]\sqrt{(0-5)^2 + (0)^2}[/tex] = 5
therefore the radius of the fence will be
= 5 + 1.5 = 6.5 meters ( because MD > MB )
Pls show the work
2x - 3y = 12
Answer:
y= -2/3x - 4
x= 3/2y + 6
Step-by-step explanation:
2x - 3y = 12 (plus 3y)
2x = 3y +12 (divide by 2)
x = 3/2y + 6
2x - 3y = 12 (minus 2x)
-3y = 2x + 12 (divide by -3)
y = -2/3x - 4
What is the answer to this math problem; -2.4x+3.8x-x
Answer:
0.4x
Step-by-step explanation:
Answer: =0.4x
Step-by-step explanation: hope this help
Let's simplify step-by-step.
−2.4x+3.8x−x
=−2.4x+3.8x+−x
Combine Like Terms:
=−2.4x+3.8x+−x
=(−2.4x+3.8x+−x)
=0.4x
Solve using long division
(x*3 + 4x^2 + 4x +9) / (x + 2)
Answer:
Step-by-step explanation:
(x^3 + 4x^2 + 4x +9) / (x + 2)
x^2+2x+ 9/x+2
A store advertises a 20% markdown on a dishwasher that normally sells for $952. a. Find the price on sale. b. The markdown is the greatest possible without the store losing money. What does this tell you about the store’s cost?
Answer:
a. $761.60
b. The store bought the dishwasher for the price they are currently selling it at. They are receiving no profit when it is on sale.
Step-by-step explanation:
give brainliest pls
If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that the Sales price = $952
Markdown % = 20%
The Sales price = (100 - 20)% x $952
The Sales price = 80% x $952
The Sales price = $761.60
If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ2
can a triangle of 72/12 fit on the same line as 144/24
Answer: yes.
Step-by-step explanation: GCF.
18. 4x +3=15+2x
Can someone help me solve this number and also 19,20,21,22,23,24,25
Answer:
[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]
__________________21-
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]
_________________22-
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]
_________________23-
[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]
28 beats in 1/4 minutes
Answer:
~The answer is 112~
Step-by-step explanation:
~If you divide 28 divided by 1/4 it should give you 112. That is how many beats per minute. Hope this helps :3~
1.
Which of the following lines is parallel to the line y = −
3
2
x + 1 and contains the point (4,-2)?
Answer:
y=-32+126
Step-by-step explanation:
So the equation you've given me is: y=-32x+1 which is already in slope intercept form.
The slope remains the same so let's look at the y-intercept (b) which is not going to come into solving it.
Plug in the points into the equation to become: -2=-32(4)+b
Solve the equation to get 126=b
Plug it into your new equation: y=-32x+126
can someone please help me
Answer:
when u divide both side by 2 the new equation will be y-5x=-3... and equation of a line is written in form of y=mx+c
so y=5x-3
what is y≤-3x-7 and y≥3/4x+8
Answer: (-4,5)
Step-by-step explanation:
help 6th grade math i will give brainliest
Which choice is the equation of the line that passes through the point (5, 19) and has a slope of
m=12 and is written in slope–intercept form?
Answer:
The equation is;
y = 12x-41
Step-by-step explanation:
Mathematically;
slope intercept form is;
y = mx + b
where m is slope and b is intercept
Since we already have the slope , the equation is;
y = 12x + b
To get b which is the y intercept, we simply substitute the value of the points given
Thus;
19 = 5(12) + b
19 = 60+ b
b = 19-60
b = -41
So the equation is;
y = 12x - 41
Find the slope of the line on the graph
Write your answer as a fraction or a whole
umbes not a mixed number or decimal
The graph of a polynomial function f is shown
a. Is the degree of the polynomial odd or even? Explain how you know.
b. That is the constant term of the polynomial
Answer:
The degree of the polynomial is even because it is a 4th degree polynomial. 4 is even, so the graph will behave roughly like a quadratic; namely, its graph will either be up on both ends or else be down on both ends.
The y-intercept is the constant term. The constant term is -4 because it is the only number on the y-axis.
In 1 min I walked 90 steps. so the ratio is?
Answer:
The ratio is 1:90
Step-by-step explanation:
Every minute, you walk 90 steps
HELP ASP ON KITCHEN MATH !!!
Shortbread Cookies Makes about 3 dozen cookies 3/4 shortening 1/2 t salt 9/4 granulated sugar I 1/2 t baking soda 1/4 eggs 2 c. cake flour 1/2 vanilla extract food coloring 1/4 butter flavoring
How to make 1 1/2 dozen cookies?
Answer:
3/8 shortening
1/4 salt
1 1/8 granulated sugar
1/4 baking soda (or 3/4 if that is 1 1/2 t from the original recipe)
1/8 eggs
1 c cake flour
1/4 vanilla extract
food coloring
1/8 butter flavoring
Free Brainliest
Two circles are concentric. Let A be the area between the smaller circle and the larger circle. Let B be the area of the smaller circle. If A:B=3 and the radius of the smaller circle is 2020, what is the radius of the larger circle? (Do NOT include punctuation in your answer.)
Answer:
Circumference of circle 1 : Circumference of circle 2 = 1 : 2
Step-by-step explanation:
Circumference of a circle = πD, where D is the diameter.
Diameter of circle 1 = 1.125
Circumference of circle 1 = π x 1.125
Diameter of circle 1 = 2.25
Circumference of circle 1 = π x 2.25
Circumference of circle 1 : Circumference of circle 2 = 1 : 2
help meeeeee pleaseeeeeeeeee
Answer:
-4/7
Step-by-step explanation:
(5,3) (-2,7)
(x1,y1) (x2,y2)
(7) - (3) / (-2) - (5)
= -4/7
Mario is baking pls help
Answer:
b
Step-by-step explanation:
Which is the graph of f(x) = 2(3)x