Answer:
[tex]Mean = 48.6364[/tex]
[tex]s^2 = 331.8545[/tex] -- Sample Variance
[tex]s = 18.2169[/tex] --- Sample Standard Deviation
Step-by-step explanation:
Given
[tex]n = 11[/tex]
[tex]Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45[/tex]
Solving (a): The sample mean
[tex]Mean = \frac{\sum x}{n}[/tex]
So:
[tex]Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}[/tex]
[tex]Mean = \frac{535}{11}[/tex]
[tex]Mean = 48.6364[/tex]
Solving (b): Sample variance (s^2)
This is calculated as:
[tex]s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}[/tex]
Where:
[tex]\bar x = 48.6364[/tex]
So:
[tex]s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}[/tex]
[tex]s^2 = \frac{3318.54545456}{10}[/tex]
[tex]s^2 = 331.8545[/tex]
Solving (c): Sample Standard Deviation (s)
This is calculated as:
[tex]s = \sqrt {s^2[/tex]
[tex]s = \sqrt{331.8545[/tex]
[tex]s = 18.2169[/tex]
3 (7/5x+4) -2 (3/2 - 5/4x)
Answer:
I know the mixed number will be 1 because u subtracts that's all I know and just subtracts the fractions ok sorry
Answer:
[tex]6\frac{7}{10}x + 9[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]3(\frac{7}{5}x + 4)-2(\frac{3}{2}-\frac{5}{4}x)[/tex]
[tex](3*\frac{7}{5}x) + (3 * 4) + (-2 * \frac{3}{2}) + (-2 * -\frac{5}{4}x)[/tex]
[tex]\frac{21}{5}x + 12 + \frac{-6}{2} + \frac{10}{4}x[/tex]
Step 2: Combine Like Terms
[tex]12 - 3 + \frac{21}{5}x + \frac{5}{2}x[/tex]
[tex]9 + (\frac{21*2}{5*2}x + \frac{5*5}{2*5})[/tex]
[tex]9+(\frac{42}{10}x + \frac{25}{10}x)[/tex]
[tex]9+\frac{67}{10}x[/tex]
[tex]6\frac{7}{10}x + 9[/tex]
Answer: [tex]6\frac{7}{10}x + 9[/tex]
Please let me know if you need to make it more clear! :)
Identify the range of the function shown in the graph.
O A. y> 0
O B. -5 sys5
O C. Osys 5
OD. yis all numbers.
PREVIOUS
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the plots and graphs.
Since, the x axis varies from -infinite to +infinite,
here, the y totally varies from -5 to +5,
hence, the option B.) is correct.
===>
[tex] - 5 \leqslant y \leqslant 5[/tex]
A small bucket holds 75% as much as a large bucket.If the small holds 36 units,how much does the large hold?
Answer:
48
Explanation:
36÷75=
0.48
Please help
Find the perimeter of the following shape, rounded to the nearest tenth
Answer:
19.1
Step-by-step explanation:
i took the testttttt
Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the given shape is 19.1 units.
What is the length of any line on the graph?The distance or length of any line on the graph,
[tex]{\rm Distance} = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
where,
d = distance or length of the line between points 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
To find the perimeter of the given figure we need to calculate the length of each line segment on the given graph. Therefore, the length of the different sides of the given quadrilateral can be written as,
AB = √[(5-0)²+(-1-0)²] = √26 units
BC = √[(5-3)²+(-1+5)²] = √20 units
CD = √[(3+2)²+(-5+4)²] = √26 units
AD = √[(-4 - 0)²+(- 2 - 0)²] = √20 units
Perimeter = AB + BC + CD + AD
= √26 units + √20 units + √26 units + √20 units
= 19.1423 units ≈ 19.1 units
Hence, the perimeter of the given shape is 19.1 units.
Learn more about the Length of the line:
https://brainly.com/question/16904935
#SPJ5
In ΔLMN, l = 810 cm, m = 620 cm and ∠N=166°. Find the length of n, to the nearest centimeter.
Answer:
1420
Step-by-step explanation:
delta math
The required length of n is 1419.5 cm which is determined by the Law of Cosines.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
In triangle ΔLMN,
l = 810 cm, m = 620 cm and ∠N=166°.
We have to determine the length of n
The Law of Cosines as it relates all three sides of a triangle with an angle of a triangle.
n² = l² + m² − 2lm cos(N)
Substitute the values in the above formula and solve for n
n² = 810² + 620² − 2 × 810 × 620 × cos(166°)
n² = 810² + 620² − 104400 × cos(166°)
n = ±1419.5
n = 1419.5, and n = - 1419.5
Neglected the value of n = - 1419.5 because length should not be negative.
n = 1419.5 cm
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ2
what is the answer for number 1?
Answer:
28.26
Step-by-step explanation:
A = pie x radius*2
The radius is 3, and pie is 3.14. This means the equation is
A = 3.14 x 3*2
3*2 is just 3 x 3, which is 9.
9 x 3.14 = 28.26
factor if posible X/2-4X-12
Answer:
Please refer to the attachment
Answer:
3. (x + 6)(x + 3)
4. (x-6)(x+2)
Step-by-step explanation:
3. x^2 + 9x + 18
To check if it is factorable, first check the discriminant
b^2 - 4ac
9^2 - 4(1)(18)
81 - 72
9
Since D > 0, there are real number solutions
Now let us try and factor
Find a number that adds to 9 and multiplies to 18
3 and 6 work
Rewrite the equation as
x^2 + 3x + 6x + 18
x(x + 3) + 6(x + 3)
(x + 6)(x + 3)
4. x^2 - 4x - 12
To check if it is factorable, first check the discriminant
b^2 - 4ac
(-4)^2 - 4(1)(-12)
16 + 48 = 64
Since D > 0, there are real number solutions
Now let us try and factor
Find a number that adds to -4 and multiplies to -12
-6 and 2 work
Rewrite the equation as
x^2 - 6x + 2x - 12
x(x - 6) + 2(x - 6)
(x + 2)(x - 6)
Divide x2 by x - 1. What is the value of the remainder?
A) 1
B) -1
C) 2
D) o
Answer:
I think it's B.
Step-by-step explanation:
Divide using polynomial division.
x + 1 + 1/ x − 1.
Maybe not 100% sure.
Whats the answer to these? (These are called Proper fractions.)
Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?
Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?
Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?
Answer:
1: 7/10
2: 3/10
3: 4/8 (2/4 or 1/2 if you need to simplify it)
Step-by-step explanation:
1: Convert 2/5 to tenths by multiplying the denominator and numerator by two. 3/10 plus 4/10 is 7/10
2: Convert 4/5 and 1/2 to tenths.
4/5 is going to be 8/10, 1/2 is going to be 5/10.
Subtract 5/10 from 8/10 to get 3/10
3: Convert 1/4 to eighths to get 2/8. Then add 2/8 and 2/8 to get 4/8.
1/3log125/8-2log2/5+log80/125
[tex] \frac{1}{3} log( \frac{125}{8} ) - 2 log( \frac{2}{5} ) + log( \frac{80}{125} ) [/tex]
Answer:
[tex]3log2[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{3} log( \frac{125}{8} ) - 2 log( \frac{2}{5} ) + log( \frac{80}{125} )[/tex]
Required
Solve
Apply logarithm rules
[tex]log( \frac{125^{\frac{1}{3}}}{8^{\frac{1}{3}}} )- log( \frac{2^2}{5^2} ) + log( \frac{80}{125} )[/tex]
[tex]log( \frac{5}{2}} )- log( \frac{4}{25} ) + log( \frac{80}{125} )[/tex]
Apply quotient rule
[tex]log( \frac{5}{2} / \frac{4}{25} ) + log( \frac{80}{125} )[/tex]
[tex]log( \frac{5}{2} * \frac{25}{4} ) + log( \frac{80}{125} )[/tex]
[tex]log( \frac{100}{8} ) + log( \frac{80}{125} )[/tex]
Apply product rule
[tex]log( \frac{100*80}{8*125} )[/tex]
[tex]log( \frac{8000}{1000} )[/tex]
[tex]log(8)[/tex]
Express 8 as 2^3
[tex]log(2^3)[/tex]
[tex]3log2[/tex]
Can u tell me how to do step by step using pemdas please
Answer:
24
Step-by-step explanation:
PEMDAS is an acronym for the order of operations.
P: Paranthesis
E: Exponents
M: Multiplicating
D: Division
A: Addition
S = Subtraction
(Note that division and multiplication are in the same "stage" and don't take priority over one another.)
10 + 4 / 2 x (5 - 1 + 3)10 + 4 / 2 x 710 + 2 x 710 + 1424Answer:
Step-by-step explanation:
you want to know the precedence of order.
the P is parenthesis... do those 1st
/ = this is also a divide sign
10 + 4 ÷ 2 x (5 - 1 + 3 ) ( go left to right, as if reading inside parenthesis )
10 + 4 ÷ 2 x (7) now to multiplication and division going left to right again)
10 + 2 x7
10 + 14
24
Question 3 (1 point) Co-60 has a half life of 5.3 years. If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage? Answer = grams Blank 1:
Answer:
464 grams.
Step-by-step explanation:
Amount of substance:
The amount of substance after t years is given by an equation in the following format:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Co-60 has a half life of 5.3 years.
This means that:
[tex]A(5.3) = 0.5A(0)[/tex]
We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5.3}[/tex]
[tex](1-r)^{5.3} = 0.5[/tex]
[tex]\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}[/tex]
[tex]1 - r = 0.5^{\frac{1}{5.3}}[/tex]
[tex]1 - r = 0.8774[/tex]
So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?
We have that [tex]A(26.5) = 14.5[/tex], and use this to find A(0). So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
[tex]14.5 = A(0)(0.8774)^{26.5}[/tex]
[tex]A(0) = \frac{14.5}{(0.8774)^{26.5}}[/tex]
[tex]A(0) = 464[tex]
464 grams.
what are prime factors
Answer:
Prime Factors is a factor of a given integer which is also a prime number.
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangular garden as shown below. Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?
Answer:
1,482 square feet
Step-by-step explanation:
Find total area - 37 x 46 = 1,702
Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden
Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft
10 cm
a
6 cm
What is the length of the missing leg?
a =
centimeters
Answer:
10×6
= 60
Step-by-step explanation:
maaf kalau salah
Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: babes it blurry i cant see .
Step-by-step explanation:
A house was sold for $60,000 ten years ago. It has increase in value 55%. What is the value of the house now?
Can someone please help me ??
Answer:
3?
Step-by-step explanation:
Write the equation of a line that is parallel to y = -5/4x+ + 7 and that passes through the point (-4,1).
Answer: y- 1 = -5/4(x+4)\\
Step-by-step explanation:
y = mx + b, where m is the slope, and in the equation, the slope is -5/4.
For two-line that are parallel, the slope is the same, -5/4.
[tex]y - y_{1}= m( x - x_{1})\\y- 1 = -5/4(x-(-4))\\y- 1 = -5/4(x+4)\\[/tex]
what shape can be formed from the following net
Answer:
square pyramid
Step-by-step explanation:
Answer:
star
Step-by-step explanation:
write an integer for each
1- a deposit for $40
2- a loss of 25 pounds
please this assignment locks soon and it’s already over due,
Answer:
1. 40
2. -25
Step-by-step explanation:
I'm sure this is the answer
This is not a multiple choice, I need your help!
Answer:
Trapezoid, E, is the correct answer.
Which of the following is equivalent to log 25 125?
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Did you mean [tex]log_{25}[/tex] 125, so that your base is 25? If so then all you do is ask yourself "25 to what power is 125?" since [tex]25^{\frac{3}{2} }[/tex] = 125, then the [tex]log_{25}[/tex] 125 = 3/2
A triangle has side lengths of 8 cm, 15 cm, and 17 cm. Classify it as acute, obtuse, or right.
acute
obtuse
O
right
Answer:
[tex]15^{2}[/tex] = 225
[tex]8^{2}[/tex] = 64
[tex]17^{2}[/tex] = 289
[tex]15^{2}[/tex] + [tex]8^{2}[/tex] + [tex]17^{2}[/tex]
= 225 + 64 = 289
289 = 289
Hence its a right angled triangle
Hope it helps
Please mark me as the brainliest
Thank you
Write down the name of the solid.
Answer:
Cube
Step-by-step explanation:
Find the surface area of the following prism:
6 m
6 m
10 m
7.2 m
4.8 m
Answer:
172.8m³
Step-by-step explanation:
1/2(7.2)(4.8)(10)=172.8m³
What is the volume of the pyramid in the diagram?
25 cm
h = 15 cm
15 cm
20 cm
OA 1,500 cm
OB. 2,500 cm
OC 4.500 cm
Answer:
Step-by-step explanation:
Wheres the diagram??
Incomplete q
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!
Answer: 105 km
Step-by-step explanation:
(15 km / 2.5 cm) x 17.5 cm = 105 km
A radio station plays 3 commercials for every 8 songs it plays. If they played 72 songs during the morning segment, how many commercials did they play?
Answer:
27
Step-by-step explanation:
Brianna went into a bakery and bought 2 cookies and 3 brownies, costing a total of $9.50. Nevaeh went into the same bakery and bought 10 cookies and 6 brownies, costing a total of $20.50. Write a system of equations that could be used to determine the price of each cookie and the price of each brownie. Define the variables that you use to write the system.
Answer:
Variable x = cost of cookies
Variable y = cost of brownies
System of equations:
2x + 3y = 9.50
10x + 6y = 20.50
Step-by-step explanation:
Variable x: $ cookies
Variable y: $ brownies
2x + 3y = 9.50
10x + 6y = 20.50
I'm not entirely sure how to explain this one, but my best advice is to just take it step by step when doing these problems. Multiple questions can feel overwhelming so just focus on one question at a time.