Answer:
0.000167 g
Step-by-step explanation:
[tex]1.67 \times {10}^{ - 4} \: g\\ \\ = 0.000167 \: g[/tex]
Felicia has a stack of 10 cards. Each card is labeled with a number in the range 1 through 10 and no two cards have the same number. She picks three cards at random from the stack and adds the numbers on the three cards. What is the expected value of the sum
Answer:
The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.
Step-by-step explanation:
Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10
Selecting 3 cards out of 10
10C3 = 120
Now she picks three cards to look at their numbers and sum it up
The possible three numbers are
(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),
(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),
(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),
(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),
(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),
(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)
Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27
Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability
P(S=6)=1/120
P(S=7)=1/120
P(S=8)=1/60
P(S=9)=1/40
P(S=10)=1/30
P(S=11)=1/24
P(S=12)=7/120
P(S=13)=1/15
P(S=14)=3/40
P(S=15)=1/12
P(S=16)=1/12
P(S=17)=1/12
P(S=18)=1/12
P(S=19)=3/40
P(S=20)=1/15
P(S=21)=7/120
P(S=22)=1/24
P(S=23)=1/30
P(S=24)=1/40
P(S=25)=1/60
P(S=26)=1/120
P(S=27)=1/120
Now adding all the sum in order to get the expected value
∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5
Therefore the expected value of the sum is 16.5.
Laura can finish payroll in 3
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
hours
Answer:
1/2
Step-by-step explanation:
First we divide 3 and 5, which gives us 0.6, then we use the LA Hypothalamus formula which is x2, so then we substitute the x with 0.6, 0.6 multiplied by 2 is 1.2, so then we transform it to a fraction, your welcome
Answer:
15/8
Step-by-step explanation:
Pls help 2 and 3!!!!!!!!!
Answer:
2)
d. -1 1/2
3)
c. 21 1/2
Step-by-step explanation:
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)
5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck
Answer:
five trucks per hour
Step-by-step explanation:
Does this graph represent a function? Why or why not?
6. Slope =
Y-Intercept
Equation in slope-intercept form:
Identify the slope from the table
NEED HELP PLEASE thank you sb
Answer:
-4
Step-by-step explanation:
‘X’ adds by one while ‘y’ adds by -4
Helpp me please find the angle (where the question mark is ) 10 pointsss
Answer:
#9= 100 degrees but I'm not sure about #10.
Step-by-step explanation:
We know that a triangle has a total of 180 degrees.
So we add 16, 34, and 30
16+34+30=80
Then we subtract the amount from the total degrees of a triangle.
180-80
= 100 degrees
I hope this helps:)
quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT
Answer:
14.
[tex]x = 11[/tex] [tex]m<B = 108[/tex] [tex]m<C= 36[/tex] [tex]m<D = 36[/tex]
15.
[tex]x = 4[/tex] [tex]WX = 25[/tex] [tex]XY = 17[/tex] [tex]WY = 25[/tex]
Step-by-step explanation:
Solving (14):
[tex]BC = BD[/tex]
[tex]m<B = 13x - 35[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<D = 2x + 14[/tex]
First, we solve for x.
Since sides [tex]BC = BD[/tex], then
[tex]m<C = m<D[/tex]
This is so because the theorem of ASA (Angle-Side-Angle)
So, we have:
[tex]5x - 19 = 2x + 14[/tex]
Collect Like Terms
[tex]5x - 2x = 19 + 14[/tex]
[tex]3x = 33[/tex]
Divide both sides by 3
[tex]x = 11[/tex]
Solving for m<B, m<C and m<D.
We simply substitute 11 for x in their respective expressions.
[tex]m<B = 13x - 35[/tex]
[tex]m<B = 13*11 - 35[/tex]
[tex]m<B = 143 - 35[/tex]
[tex]m<B = 108[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<C= 5*11 - 19[/tex]
[tex]m<C= 55 - 19[/tex]
[tex]m<C= 36[/tex]
[tex]m<D = 2x + 14[/tex]
[tex]m<D = 2*11 + 14[/tex]
[tex]m<D = 22 + 14[/tex]
[tex]m<D = 36[/tex]
Solving (15):
[tex]<X = <Y[/tex]
[tex]WX = 9x - 11[/tex]
[tex]XY = 4x + 1[/tex]
[tex]WY = 7x - 3[/tex]
First, we solve for x.
Since [tex]<X = <Y[/tex], then
[tex]WX = WY[/tex]
This is so because the theorem of SAS (Side-Angle-Side)
So, we have:
[tex]9x - 11 = 7x - 3[/tex]
Collect Like Terms
[tex]9x - 7x = 11-3[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
Solving for WX, WY and XY
We simply substitute 4 for x in their respective expressions.
[tex]WX = 9x - 11[/tex]
[tex]WX = 9 * 4 - 11[/tex]
[tex]WX = 36 - 11[/tex]
[tex]WX = 25[/tex]
[tex]XY = 4x + 1[/tex]
[tex]XY = 4 * 4 + 1[/tex]
[tex]XY = 16 + 1[/tex]
[tex]XY = 17[/tex]
[tex]WY = 7x - 3[/tex]
[tex]WY = 7 * 4 - 3[/tex]
[tex]WY = 28 - 3[/tex]
[tex]WY = 25[/tex]
5⋅7⋅4=5⋅4⋅7
is that
associative property of multiplication or is it
commutative property of multiplication
Answer:
Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140
HOPE THIS HELPS TOUCH THANK FOR ME PLEASE
Carly has already jarred 19 liters of jam and will jar an additional 7 liters of jam every day.
How much jam did Carly jar if she spent 6 days making jam? Write and solve an equation to
find the answer.
Answer:
61
Step-by-step explanation:
7×6 = 42
42+ 19 = 61 Sorry if I'm wrong I tried
Rewrite in simpliest terms-
−0.2(3p−0.9)+0.4(−0.9p−5)
Answer:
-0.96p - 1.82
Step-by-step explanation:
I don't get this find all missing angles what does it mean how do I do it
First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.
Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.
For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.
Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.
Answer:
1= 51
2= 18
3= 123
4= 39
Step-by-step explanation:
First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.
Find the slope between the following points (2,5) and (-3,-9)
Answer: 14/5
Step-by-step explanation: Use Algebra calculator on math papá.com
Answer:
[tex]m=\frac{14}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 5)
Point (-3, -9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-9-5}{-3-2}[/tex]Subtract: [tex]m=\frac{-14}{-5}[/tex]Simplify: [tex]m=\frac{14}{5}[/tex]3. If Ted is making monthly payments of $77 on a loan of $4,000 for 5 years;
approximately what percent interest is he paying?
$
The percent of interest is he paying is,
⇒ R = 4.62%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.
Hence, Yearly payments to pay is,
⇒ 12 × 77
⇒ $924
Hence, We get;
⇒ Interest = PRT/ 100
⇒ 924 = 4000 × R × 5 / 100
⇒ 92400 / 20,000 = R
⇒ R = 4.62%
Thus, The percent of interest is he paying is,
⇒ R = 4.62%
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
find slope please help
Answer:
slope = -5/2
Step-by-step explanation:
rise/run
down 5
right 2
Write a multiplication equation and a division equation that this diagram could represent.
A tape diagram of three equal parts. Each part is labeled "eighteen". A brace from the beginning of the diagram to the end of the disgram is labeled "54".
Group of answer choices
3 • 18 = 54 and 54 ÷ 18 = 3
54 • 3 = 18 and 18 ÷ 3 = 54
c
3 • 18 = 54 and 54 ÷ 18 = 3
3 • 18 = 54 and 18 ÷ 54 = 3
Answer:
[tex]3 * 18= 54[/tex] and [tex]54/18 = 3[/tex]
Step-by-step explanation:
Given
[tex]Sections = 3[/tex]
[tex]Measurement=18[/tex] per section
[tex]Total\ Measurement=54[/tex]
Required
Model the scenario
The model of this scenario is:
[tex]Sections * Measurement = Total\ Measurements[/tex]
This gives:
[tex]3 * 18 = 54[/tex] -- This represents the multiplication model
Divide both sides by 18
[tex]3 * 18/18 = 54/18[/tex]
[tex]3 * 1 = 54/18[/tex]
[tex]3 = 54/18[/tex]
Reorder
[tex]54/18 = 3[/tex] -- This represents the division model
Answer:
121*5677*66766.546646
5
Step-by-step explanation:
translate this sentence to an equation
38 is the product of Malik's score and 2. Use the variable m to represent Malik's score.
Answer:
Step-by-step explanation:
m * 2 = 38
Equation: 2m = 38
Solution:
2m = 38
m = 38/2
m = 19
Malik's score = 19
Answer:
Given :-38 is the product of Malik's score and 2. Use the variable m to represent Malik's score
To Find :-Marks scored by Malik
Solution :-The equation will be
[tex] \frak{2m = 38}[/tex]
Total marks
[tex] \tt \: m \: = \dfrac{38}{2} [/tex]
[tex] \tt \: m \: = 19[/tex]
The marks scored by Malik is 19
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
PLS HELP I ONLY HAVE 30 MINS
Question 5 (4 points)
(04.02)
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
Answer:
C. It is not proportional because it is not a straight line.
Step-by-step explanation:
You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.
------> The Answer Is C <------
Hope this helps have a good day :D
what is the slope of the line shown in graph
A. -2
B. -1
C. 1/-2
D. 1/2
Answer:
-1/2
Step-by-step explanation:
using rise over run its 1/-2 which is just -1/2
Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x
Answer:
Option C is correct option.
Step-by-step explanation:
We need to find k constant of proportionality
In the graph below let us take the values of x and y
x=150 , y=50
x=300, y=100
x=450, y=150
Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]
Putting values of x and y to find k
For x=150 , y=50 k = 50/150, k =1/3
For x=300, y=100 , k=100/300 , k=1/3
For x=450, y=150, k= 150/450 , k=1/3
Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.
So, Option C is correct option.
Which graph shows the solution to the inequality -2x+10>20
Answer:
+20 bc 2x10= 20 so +20>20
Theresa finds a shirt on sale at the store. The regular price of the shirt is $32.00. But there is a 20% off sale today. Theresa remembered that there is 8.1% tax on the sale price of the shirt. What is her final cost?
Question 10 options:
$28.92
$27.67
$29.31
$31.00
Answer:
Step-by-step explanation:
Given tgat:
Regular price = $32
Discount = 20%
Sale tax = 8.1%
The measurement of the complement of an angle is 40° more than the angle. What is the supplement for the angle?
Given the graph that is shown. What is the range of the function?
Answer:
B
Step-by-step explanation:
Range is Y and the point is -4 to 2
Look at points C and D on the graph: HOW U PUT A PHOTO :=)
A coordinate plane graph is shown. Point C is at 1 comma 3. Point D is at 4 comma negative 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
1. 3.01 units.
2. 5.20 units.
3. 6.50 units.
4. 6.71 units.
Answer:
6.71
Step-by-step explanation:
If you want to put picture i would recommend using your phone to do it. :]
Answer: its 6.71
Step-by-step explanation:
write a word problem for 8x - 5 = 40
Answer:
Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?
Step-by-step explanation:
Answer:
eight and a variable subtracted by five equals forty
Step-by-step explanation:
Find the ratio of 2p per gram to £2.12 per kilogram
Answer:
the answer is 1.06
Step-by-step explanation:
getting bored.Is there anyone???
Answer:
yes very much so
Step-by-step explanation:
yes I don't know why but I am really and truly
Answer:
WOW yRRRRRR
Step-by-step explanation:
