Answer:
5.83
Step-by-step explanation:
Find the mean:
10(.1) + 15(.2) + 20(.2) + 25(.4) + 3-).1)
u = 21
Find the standard deviation:
[tex]\sqrt{(10 -21)x^{2} (.1) + (15 -21)x^{2} (.2)+(20-21)x^{2} (.2)+(25-21)x^{2} (.4)+(30-21)x^{2} (.1)}[/tex]= 5.83
The standard deviation is of 5.83.
The expected value is given by each value multiplied by it's relative frequency, thus:
[tex]E(X) = 0.1(10) + 0.2(15) + 0.2(20) + 0.4(25) + 0.1(30) = 21[/tex]
The standard deviation is given by the square root of the sum of the difference squared of each value and the mean, multiplied by it's relative frequency.
Then:
[tex]\sqrt{V(X)} = \sqrt{0.1(10 - 21)^2 + 0.2(15 - 21)^2 + 0.2(20 - 21)^2 + 0.4(25 - 21)^2 + 0.1(30 - 21)^2} = 5.83[/tex]
The standard deviation is of 5.83.
A similar problem is given at https://brainly.com/question/24628525
.Write the following number in expanded form using powers of 10: 67.938
Answer:
67.938 =
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Step-by-step explanation:
Here, we want to write the given number in expanded form
Mathematically that will be ;
60 + 7 + 0.9 + 0.03 + 0.008
Using the power of 10, that will be;
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 555 Carlson sisters. How many pieces of jewelry did each sister receive?
Answer: (13 + y) / 5
Step-by-step explanation:
Since Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters, the total jewellery given to the sisters will be:
= 13 + y
Since there are 5 Carlson sisters, the number of pieces of jewelry that each sister receive will be:
= Total jewelries / Number of sisters
= (13 + y) / 5
Answer:Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces, so the sisters received a total of 13+y13+y13, plus, y pieces of jewelry.
The sisters divided the 13+y13+y13, plus, y pieces of jewelry evenly among themselves, and there were 555 sisters. So each sister received \dfrac{13+y}{5}
5
13+y
start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.
Each sister received \dfrac{13+y}{5}
5
13+y
start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.
Given A = P + PRT, Solve for T
Answer:
C. T = (A - P) / (PR)
Step-by-step explanation:
A = P + PRT
A - P = PRT
(A - P) / (PR) = T
6. A rectangle has a length of (x + 2) and a width of (3x
an expression in simplest form for the perimeter of the rectangle,
Pleaseee urgent!! Thank youuu
Mia's soccer coach told her to keep track of how much water she drinks. Yesterday she drank 18 ounces with breakfast, 21 ounces with lunch, and 19 ounces with dinner. She also finished 2 full 12-ounce bottles of water during soccer practice. >) Mia works out that she drank 82 ounces of water in total. Does that sound about right?
A bowling alley charges $2.50 per game plus $4 to rent shoes. A second bowling alley charges $4 per game plus $1 to rent shoes. How many games would a
person have to play for the two bowling alleys to cost the same amount?
Answer:
The person would have to play 2 games for the two bowling alleys to cost the same amount
Step-by-step explanation:
Assume that the number of games that makes the two costs equal is x
∵ A bowling alley charges $2.50 per game plus $4 to rent shoes
∵ The number of games is x
∴ The cost = 2.50x + 4
∵ A second bowling alley charges $4 per game plus $1 to rent shoes
∵ The number of games is x
∴ The cost = 4x + 1
∵ They have the same cost
→ Equate the 2 expressions above
∴ 4x + 1 = 2.50x + 4
→ Subtract 2.50x from both sides
∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4
∴ 1.50x + 1 = 4
→ Subtract 1 from both sides
∵ 1.50x + 1 - 1 = 4 - 1
∴ 1.50x = 3
→ Divide both sides by 1.50
∴ x = 2
∴ The person would have to play 2 games for the two bowling alleys to
cost the same amount
Solve the system by substitution ( find the intersection)
y=-2x+18
y=8
Answer: x = 5
Step-by-step explanation:
Find the slope between the following two points: (3, 1), (5, 4).
Answer:
3/2
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
Solve the given system using elimination.
Answer:
s = -1
r = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2r + 8s = -4
7r = -6s + 8
Step 2: Rewrite Systems
2r + 8s = -4
Factor: 2(r + 4s) = -4Divide 2 on both sides: r + 4s = -2Subtract 4s on both sides: r = -4s - 2Multiply -7 on both sides: -7r = 28s + 14Step 3: Redefine Systems
-7r = 28s + 14
7r = -6s + 8
Step 4: Solve for s
Elimination
Combine equations: 0 = 22s + 22Isolate s term: -22 = 22sIsolate s: -1 = sRewrite: s = -1Step 5: Solve for r
Define equations: 2r + 8s = -4Substitute in s: 2r + 8(-1) = -4Multiply: 2r - 8 = -4Isolate r term: 2r = 4Isolate r: r = 2Answer:
r = 2, s = - 1
Step-by-step explanation:
Given the 2 equations
2r + 8s = - 4 → (1)
7r = - 6s + 8 ( add 6s to both sides )
7r + 6s = 8 → (2)
Multiplying (1) by 7 and (2) by - 2, then adding will eliminate the r- term
14r + 56s = - 28 → (3)
- 14r - 12s = - 16 → (4)
Add (3) and (4) term by term to eliminate r , that is
44s = - 44 ( divide both sides by 44 )
s = - 1
Substitute s = - 1 into either of the 2 equations and solve for r
Substituting into (1)
2r + 8(- 1) = - 4
2r - 8 = - 4 ( add 8 to both sides )
2r = 4 ( divide both sides by 2 )
r = 2
solution is r = 2 , s = - 1
The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line, how long is the race? Show your work. (2 points) 15 m 10.5 m Start Finish
Answer: 111.6 meters
Step-by-step explanation:
Since there are 8 hurdles that are spaced 12.3 meters apart, the number of meters here will be:
= 7 × 12.3 meters
= 86.1 meters
We are further told that there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line.
The length of the race will be:
= 86.1 + 15 + 10.5
= 111.6 meters
Answer:
The race is 111.6 m long.
8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1
Add to this the distance to the first hurdle and the distance from the last hurdle:
86.1+15+10.5 = 111.6 m
Step-by-step explanation:
Hope this helps
F(-3)=2(-3^2)-8
Answer please
Answer
Solving for F
F=8 2/3, 8.6
help please!
Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.
Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.
Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.
As per the given graph,
Triangle GHI and triangle DEF are plotted.
If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.
And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.
Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".
To learn more about congruence,
https://brainly.com/question/12413243
#SPJ5
5th question
answer Plss
Answer:
no
Step-by-step explanation:
57 isnt a prime number
180 = 16x -5+5х+4+90
Answer:
What is your question?
Step-by-step explanation:
Answer:
x=81.2
Step-by-step explanation:
what is an equivalent fraction to 9/28 ?
Answer:
18/56
Step-by-step explanation:
Answer:
18/56
Step-by-step explanation:
9/28= 18/56
for the top 1 I multiplied the numerator and denominator by 2 and then when you simplify it you get 9/28
Calculate the number of ways to arrange 9 books of different tittles on a book
rack.
A. 45
B. 81
C. 368280
D. 362880
Answer:
D good luck :) also have a great day
Simplify.
6y + 5y
Please help me!!!!!!!
Answer:
11y
Step-by-step explanation:
The answer is 11y because is kinda like adding. You add 6 + 5 which is 11 and then you just convert the y so its 11y
HELP ME THIS IS SO CONFUSING
Answer:
365 degrees :)
Step-by-step explanation:
It's a multiple of 5, but with no zeros, so that means the ones place is 5. The hundreds place is two less than 5, so that's 3. And the tens place is two times the 3, so that gives you 365!
Answer: 365
Step-by-step explanation: hope this helps bud
"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"
Answer:
yes
Step-by-step explanation:
because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.
2.8-4.4n-2n+7
QUICKLY BRAINLY IF CORRECT
Step-by-step explanation:
=9.8-6.4n
just add them together as easy as that
If f (x)=3^5-x + 6, what is the value of f (5), to the nearest tenth?
Answer:
240
Step-by-step explanation:
3^5 - 5 + 6
243 - 5 = 238+6= 244
240?
Q1) 3 cups to milliliters. Round to the nearest hundredth if necessary. Your answer
Answer:
3 cups = 709.77 milliliters
Step-by-step explanation:
Cup : milliliters
1 cup : 236.59 milliliters
3 cups : x milliliters
Equate both ratios
1 / 236.59 = 3 / x
Cross product
1 * x = 236.59 * 3
x = 709.77 milliliters
Therefore,
3 cups = 709.77 milliliters to the nearest hundredth
Deon had $25. Then he spent $15 on lunch. What percentage of his money did Deon spend on lunch?
Answer:
Deon spent 60% of his money on lunch.
Step-by-step explanation:
Jen and Kamlee are walking to school. After 20 minutes, Jen has walked 45 mile. After 25 minutes, Kamlee has walked 56 mile. Find their speeds in miles per hour. Enter the correct answers in the boxes.
Answer:
Jen's speed = 135 miles per hour (Approx)
Kamlee's speed = 134 miles per hour (Approx)
Step-by-step explanation:
Given:
Jen walk = 45 miles
Jen's time = 20 min = 20/60 = 0.333 hour
Kamlee walk = 56 miles
Kamlee's time = 25 min = 25/60 = 0.416667 hour
Find:
Speed
Computation:
Jen's speed = 45 / 0.333
Jen's speed = 135 miles per hour (Approx)
Kamlee's speed = 56 / 0.416667
Kamlee's speed = 134 miles per hour (Approx)
Which graph shows 3x - y = 1?
Answer:
The graph below shows the graph of 3x - y = 1.
Hope this helps! :)
What is the equation for the line in slope-intercept form? Enter your answer in the box.
Answer: y=-4x+5
Step-by-step explanation:
Answer:
y=-4x+5
Step-by-step explanation:
1. Find the slope by counting downward and over from one point to another point. Let's start from (-2,13) and go down to (0,5)
If you are worried about miscounting, you could also use the slope formula which is y2-y1/x2-x1
5-13/0--2
= -8/2
The slope is -4.
2. FInd where the line crosses the y-axis to get the y-intercept. Here it crosses it at 5.
3. Write the equation on slope-intercept form, which is y=mx+b where mx represents the slope and b represents the y-intercept.
y=-4x+5
Identify the constant of proportionality.
Answer:
14
Step-by-step explanation:
If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!
If you know that 84 is 70% of the whole, how can you use proportional reasoning to determine the whole?
A: 70100 shows 70% as a ratio. The ratio 84x compares 84 to the whole, x. Write an equation so that the first ratio is equal to the second ratio. Solve for x : x = 120.
B: 70100 shows 70% as a ratio. The ratio 84x compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 58.8.
C: 70100 shows 70% as a ratio. The ratio x84 compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 120.
D: 70100 shows 70% as a ratio. The ratio x84 compares 84 to the whole, x. Write an equation so that the first ratio is equal to the second ratio. Solve for x : x = 58.8.
Answer:
A. 70/100 shows 70% as a ratio...
Step-by-step explanation?
EASY POINTS FOR Y'ALL!!!!!!
Answer:B
Step-by-step explanation:
Answer:
D, is the correct answer!!
Step-by-step explanation:
4. Find the slope of the line
that passes through the two points.
(2.8) (10,2)
Answer:
-3/4
Step-by-step explanation:
y2-y1/x2-x1
2-8/10-2
-6/8
-3/4