Answer:
win-263889 loss-236111
Step-by-step explanation:
1:the guys throws the dice twice no charge for this
2:for every face the first time there is a chance of getting the others or the same face e.g round 1-1 round 2-(either 123456)
3:I drew a probability tree to get the sum
like if I got 1and1 then sum is 2 I did it for the rest
4:I got P of (even)=17/36 and for (odd)=19/36
5:then the organizer has to pay if it's even and there 1 million throws Wich means the probability he will lose is the probability of getting an even sum for 500000 throws and for winning is the probability of getting odd sums in those 500,000 throws
6: 500k is because only after it's thrown twice were there charges
Please help don't understand at all
(i) Note that it is given to you that 3a + 2b = 9
You are trying to find the value of 9a + 6b. Find what is multiplied to both the variable a & b. Divide:
(9a + 6b)/(3a + 2b) = 3
Next, multiply 3 to the 9 on the other side of the equation:
3 x 9 = 27
27 is the value of 9a + 6b.
(ii) Note that it is given to you that 8x + 6y = 60
You are trying to find the value of 4x + 3y. Find what is multiplied to both the variable x & y. Divide:
(8x + 6y)/(4x + 3y) = 2
Next, divide 2 from the 60 on the other side of the equation:
60/2 = 30
30 is the value of 4x + 3y.
~
Answer:
(i) 27, (ii) 30
Step-by-step explanation:
i. since 9a + 6b is 3 times 3a + 2b then the and is 3 times 9 = 27
ii. since 4x + 3y is half of 8x + 6y then 60 /2 = 30
sinxcosy=1/2(sin(x+y)+cos(x-y))
True or False?
Thanks for the help!
Answer:
False
Step-by-step explanation:
To be able to answer this, we will need to make a reference to the sum and product formula.
What we have in the question is the product and we want to see if the sum correlates.
Using the sum formula, we have the value on the right hand side as;
(1/2)[sin(x+y)+sin(x-y)]
Seeing that the expression we have here is not equal to that which was given, we can conclude that the answer is false
A company offering online speed reading courses claims that students who take their courses show a 5 times (500%) increase in the number of words they can read in a minute without losing comprehension. A random sample of 100 students yielded an average increase of 415% with a standard deviation of 220%. Calculate a 95% confidence interval for the average increase in number of words students can read in a minute without losing comprehension. Choose the closest answer.
Answer:
C.I = (371.88 , 458.12)
Step-by-step explanation:
Given that:
sample size n = 100
sample mean [tex]\overline x =[/tex] 415
standard deviation = 220
The objective is to calculate the 95% confidence interval for the average increase in number of words students who can read in a minute without losing comprehension.
At 95% confidence interval; level of significance ∝ = 1 - 0.95
level of significance ∝ = 0.05
[tex]z_{\alpha/2} = 0.05/2[/tex]
[tex]z_{\alpha/2} = 0.025[/tex]
The critical value at [tex]z_{\alpha/2} = 0.025[/tex] is 1.96
C.I = [tex]\overline x \pm M.O,E[/tex]
C.I = [tex]\overline x \pm z_{\alpha/2} \dfrac{\sigma }{\sqrt{n}}[/tex]
C.I = [tex]415\pm 1.96 \dfrac{220 }{\sqrt{100}}[/tex]
C.I = [tex]415\pm 1.96 *\dfrac{220 }{10}[/tex]
C.I = [tex]415\pm 1.96 *22[/tex]
C.I = [tex]415\pm 43.12[/tex]
C.I = (371.88 , 458.12)
) 5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied
by 2.
e) 7 is subtracted from the quotient of 48 divided by the sum of 5 and difference
Step-by-step explanation:
the first answer is 72 as it is it
Answer:
The answer is 8.
Step-by-step explanation:
The product of 12 and 3 is 36. One-fourth of 36 is 9. 5 subtracted from 9 is 4.
11/10= x+2/5 Please Explain
Answer:
x=7/10
Step-by-step explanation:
2/5=4/10
11/10=x+4/10
11/10-4/10=x
7/10=x
Answer:
x=7/10 or 0.7
Step-by-step explanation:
I turned the fractions into decimals
so
1.1=x+0.4
subtract 0.4 from 1.1 to get 0.7
Turn it into a fraction which is 7/10
Please help me, im in desperate need of help for these questions
Answer:
For the first one, answer is dilation of 2
Step-by-step explanation:
you see the coordinates for triangle A'B'C' are all doubled the coordinates of triangle ABC
Banita has a piece of string that is One-tenth times 7 inches long. Which fraction is equal to the length of Banita’s string?
Answer: The length is 7/10 inches.
Step-by-step explanation:
So if is says that the string is 1/10 times 7 inches long, then it represents the length of the string.
So L = [tex]\frac{1}{10}*7[/tex]
L = 7/10
Answer:
l=7/10
Step-by-step explanation:
what is the lengthy of side s of the square below
Answer:
D. 4√2
Step-by-step explanation:
A triangle with 45°, 45°, and 90° is a special right triangle.
hypotenuse = √2 · leg
1. Set up the equation
8 = √2 · x
2. Divide by √2 and solve
x = [tex]\frac{8}{\sqrt{2} }[/tex] · [tex]\frac{\sqrt{2} }{\sqrt{2}}[/tex] = [tex]\frac{8\sqrt{2} }{2}[/tex] = 4√2
the legnth of rectangular sheet decreases by 34.5 cm its width decreases proportionally that is by the same percentage. if the sheets original width was half of the legnth and the new (smaller) area was 1.2 m^2 what was original sheet's width
Answer:
The original width was 94.71 cm
Step-by-step explanation:
Given:
new smaller area = 1.2m^2
Decrease in length of the rectangular sheet = 34.5cm
Therefore:
1. the final width of the sheet is given as
2X^2 = 1.2 m^2
X^2 - 0.6 m^2
X^2 = 10000 * 0.6 cm
X = 77.46 cm (this is the width)
2. The length of the sheet
= 2 * 77.46
= 154.92 cm.
3. Initial length of the sheet
= 154.92 + 34.5
= 189.42 cm.
4. Initial width of the sheet ( original ).
= 189.42 / 2
= 94.71 cm.
5. Initial area of the sheet
= 94.71 * 189.92
= 17939.9 cm^2
New area of the sheet
= 79.46 * 154.92
= 12000.1 cm^2
Difference between the initial and new area
= 17939.9 - 12000.1
= 5939.86 cm^2
Percentage of area decrease
= 5939.86 ' 17939.9
= 33.1%
plssssssss helppp 3x – 5 = 1
Answer:
x = 2
Step-by-step explanation:
Add 5 to both sides to get the 5 to the right side since we are trying to isolate the variable x:
3x – 5 + 5 = 1 + 5
Simplify: 3x=6
Divide each side by 3 to isolate and solve for x:
3x/3=6/3
Simplify: x=2
A newspaper article claimed: "The average cost of weekly groceries is $124.50." What
statistical measurement are they most likely claiming?
O A. median
B. mean
C. range
D. mode
The average cost of weekly groceries is $124.50." The statistical measurement are they most likely claiming is Mean
The correct option is (B)
what is Mean?The arithmetic mean of a given data is the sum of all observations divided by the number of observations.
For example, a cricketer's scores in five ODI matches are as follows: 12, 34, 45, 50, 24. To find his average score in a match, we calculate the arithmetic mean of data using the mean formula:
Mean = Sum of all observations/Number of observations
MedianThe value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.
For example, consider the data: 4, 4, 6, 3, 2. Let's arrange this data in ascending order: 2, 3, 4, 4, 6. There are 5 observations. Thus, median = middle value i.e. 4.
ModeThe value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.
As per the situation we have given average cost of groceries.
The mean is also the average sum of data divided by total number of data.
Hence, The statistical measurement is Mean.
Learn more about mean here:
https://brainly.com/question/15323584
#SPJ2
Point A is at (-6,6) and point C is at (-6,-2). Find the coordinates of point B on Ac such that AB =3/4AC
Answer:
B(-6, 0)
Step-by-step explanation:
You want to find B such that ...
(B -A) = (3/4)(C -A) . . . . the required distance relation
4(B -A) = 3(C -A) . . . . . . multiply by 4
4B = 3C +A . . . . . . . . . . add 4A, simplify
Now, we can solve for B and substitute the given coordinates:
B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)
The coordinates of point B are (-6, 0).
Answer:
the answer your looking for is (-3,-3)
Step-by-step explanation:
Select the correct answer.
What is the exact solution to the system of equations shown on the graph?
Answer:
Option (B)
Step-by-step explanation:
There are two lines on the graph representing the system of equations.
First line passes through two points (-3, 1) and (-2, 3).
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{3-1}{-2+3}[/tex]
m = 2
Equation of the line passing through (x', y') and slope = m is,
y - y' = m(x - x')
Equation of the line passing through (-3, 1) and slope = 2 will be,
y - 1 = 2(x + 3)
y = 2x + 7 ----------(1)
Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.
Let the equation of this line is,
y = mx + b
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{4-1}{-1-0}[/tex]
= -3
Here 'b' = 1
Therefore, equation of the line will be,
y = -3x + 1 ---------(2)
From equation (1) and (2),
2x + 7 = -3x + 1
5x = -6
x = [tex]-\frac{6}{5}[/tex]
x = [tex]-1\frac{1}{5}[/tex]
From equation (1),
y = 2x + 7
y = [tex]-\frac{12}{5}+7[/tex]
= [tex]\frac{-12+35}{5}[/tex]
= [tex]\frac{23}{5}[/tex]
= [tex]4\frac{3}{5}[/tex]
Therefore, exact solution of the system of equations is [tex](-1\frac{1}{5},4\frac{3}{5})[/tex].
Option (B) will be the answer.
Answer:
B. (-1 1/5, 4 3/5)
Step-by-step explanation:
Find the measure of b.
Please help
Answer:
125 degrees
Step-by-step explanation:
Using a theorem, you know that angle a is half of 110. Also, in all quadrilaterals inscribed in a circle, the opposite angles are supplimentary. So then, knowing that angle a is 55 degrees, you can come to the conclusion that b is 125 degrees.
Hope this is helpful! :)
1) In rectangle ABCD, AE is perpendicular on diagonal BD, BE=3DE and AC∩BD={O}.
1. DE/EO=?
2. If BD=8√2 inches, find out the lenght of AE
3. Calculate the measure of angle AOD.
2) In rectangle MNPQ, MA⊥NQ, A∈NQ, MA∩PQ={B}. If AN measures 12 inches, AQ=27 inches, calculate the lenght of MA and MB.
Please help me with these. Or at least with one of them.
Answer:
to be honest I'm not sure how to do
A sample of college students was asked how they felt about their weight. Of the 143 women in the sample who responded, 38 women said that they felt overweight, 99 felt that their weight was about right, and 6 felt that they were underweight. Of the 78 men in the sample, 18 men felt that they were overweight, 35 felt that their weight was about right, and 25 felt that they were underweight (Data source: pennstate3 dataset on the companion website).
a. In the relationship between feelings about weight and sex, which variable is the explanatory variable and which is the response variable?
b. Summarize the observed counts by creating a table similar to Tables 2.2 and 2.3 (p. 21).
c. For the 143 women, find the percentage responding in each category for how they felt about their weight.
d. For the 78 men, find the percentage responding in each category for how they felt about their weight.
e. Using the percentages found in parts (c) and (d), summarize how the women and men differed in how they felt about their weight.
Answer:
a. Feelings about weight is the response (dependent) variable. Sex is the explanatory (independent) variable. The feelings about weight depend on the sex
b. Summary of observed counts
Women Men Total
Overweight 38 18 56
Right weight 99 35 134
Underweight 6 25 31
Number 143 78 221
c. Percentage of the 143 women responding in each category:
1. Overweight = 38/143 = 26.6%
2. Right weight = 99/143 = 69.2%
3. Underweight = 6/143 = 4.2%
d. Percentage of the 78 men responding in each category:
1. Overweight = 18/78 = 23.1%
2. Right weight = 35/78 = 44.9%
3. Underweight = 25/78 = 32%
e. Summary of feelings about weight:
Women Men
Overweight 26.6% 23.1%
Right weight 69.2% 44.9%
Underweight 4.2% 32%
Step-by-step explanation:
a) Data:
Sample size = 221
Women Men Total
Overweight 38 18 56
Right weight 99 35 134
Underweight 6 25 31
Number 143 78 221
b) To obtain the percentage of feelings about weight for each category, the number of those who feel overweight, right weight, or underweight is divided by the total number of women or men. The value obtained, which is in decimal form, is then converted to percentage by multiplying with 100.
A sixth-grade class is growing plants for their
science projects. Each student spent $1.00 for a
package of seeds and $2.50 for a container to
plant the seeds in. There are 30 students in the
class. How much money did the sixth-grade class
spend on seeds and containers in all?
Answer:
5.76
Step-by-step explanation:
Answer:
$105
Step-by-step explanation:
Each student buys one package of seeds and one container
s = Amount of students; p = price of seed package; c = price of container
s*(p+c)=30(1.00+2.50)=30(3.5)$105.
Hope This Helps!
Una compañía sabe que si produce "x" unidades mensuales su utilidad "u" se podría calcular con la expresión: u(x)=-0.04x^2+44x-4000 donde "u" se expresa en dólares. Determine la razón del cambio promedio de la utilidad cuando el nivel de producción cambia de 600 a 620 unidades mensuales. Recuerde que la pendiente de la recta secante a la gráfica de la función representa a la razón de cambio promedio.
Answer:
The ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.
Step-by-step explanation:
The question is:
A company knows that if it produces "x" monthly units its utility "u" could be calculated with the expression: u (x) = - 0.04x ^ 2 + 44x-4000 where "u" is expressed in dollars. Determine the ratio of the average change in profit when the level of production changes from 600 to 620 units per month. Remember that the slope of the secant line to the graph of the function represents the average rate of change.
Solution:
The expression for the utility is:
[tex]u (x) = - 0.04x ^ {2} + 44x-4000[/tex]
It is provided that the slope of the secant line to the graph of the function represents the average rate of change.
Then the ratio of the average change in profit when the level of production changes is:
[tex]\text{Average change in profit}=\frac{u(x_{2})-u(x_{1})}{x_{2}-x_{1}}[/tex]
Compute the values of u (x₁) and u (x₂) as follows:
x₁ = 600
[tex]u (x_{1}) = - 0.04x_{1} ^ {2} + 44x_{1}-4000[/tex]
[tex]= - 0.04(600) ^ {2} + 44(600)-4000\\=-14400+26400-4000\\=8000[/tex]
x₂ = 620
[tex]u (x_{2}) = - 0.04x_{2} ^ {2} + 44x_{2}-4000[/tex]
[tex]= - 0.04(620) ^ {2} + 44(620)-4000\\=-15376+27280-4000\\=7904[/tex]
Compute the average rate of change as follows:
[tex]\text{Average change in profit}=\frac{u(x_{2})-u(x_{1})}{x_{2}-x_{1}}[/tex]
[tex]=\frac{7904-800}{620-600}\\\\=\frac{-96}{20}\\\\=-\frac{24}{5}\\\\=-24:5[/tex]
Thus, the ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.
solve the equation by using substitution method X + 2 Y equal to 8 equation first 2 x minus 2 equal to 10 equation second
Answer:
(6, 1)
Step-by-step explanation:
x + 2y = 8
1. subtract 2y to get x alone -- x = -2y + 8
2. insert (-2y + 8) as x
2x - 2 = 10
2(-2y + 8) -2 = 10
3. distribute the 2
-4y + 16 - 2 = 10
4. combine like terms
-4y + 14 = 10
5. subtract 14 from both sides
-4y = -4
6. divide by -4
y = 1
7. plug y into any of the two original equations
x + 2(1) = 8
8. simplify
x + 2 = 8
x = 6
9. check answer with second equation
2(6) - 2 = 10
12 - 2 = 10
The graphed line shown below is y=-3x+6...Which equation, when graphed with the given equation, will form a system that has no solution?
Answer:
The equation, when graphed together with the line y=-3x +6, which will form a system of equations with no solution is y=-3(x +6), meaning the second option on the picture.
Step-by-step explanation:
hope this helps!
Answer: 2 or B
Step-by-step explanation:
The quadrilateral shown is a (blank) x= (blank)
Answer:
The quadrilateral shown is a kite, because it has two non-congruent pairs of congruent sides
x = 3
Step-by-step explanation:
The vertex angles in a kite are bisected by the diagonals. Thus, 11x = 9x + 6.
11x=9x+6
2x=6
x=3
Hope it helps <3
Rewrite 4 - 5 using the addictive inverse and display the expression on a number line
Answer:
d. (4) + (-5)
Step-by-step explanation:
We know that 4 is the positive value and 5 is the negative value, therefore if to be able to rewrite in it we will almost make a sum of these values without changing the meaning of each one of the values, therefore:
(+4) + (-5)
Which means that the correct option is the last option, that is, d. (4) + (-5). Furthermore, the representation is correct because the resulting arrow is the one corresponding to -1.
Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes. How many square meters could he make with 4 cloaks of fabric
Answer:
14 square meters of fabricStep-by-step explanation:
[tex]21\: square\:meters = 6 \:wizard \:cloak\\x\:square\:meters\:\:=4 \:wizard\:cloaks\\\\Cross\:Multiply\\6x = 84\\\frac{6x}{6} =\frac{84}{6} \\\\x = 14 \:square\:meters[/tex]
Answer:
14.0 square meters
Step-by-step explanation:
Find the slope of the line that contains (6, 2) and (6,-3).
Find the slope of the line through the points (-4,-7) and (4, 3).
Answer:
A. Undefined slope (no slope)
B. [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
A slope is rise over run.
The points (6, 2) and (6, -3) are located on the same x coordinate, therefore they have an undefined slope.
However, the points (-4, -7) and (4, 3) do have a slope. The rise is 10 ( | -7+ 3 | ) and the run is 8 ( | -4 + 4 | ). 10/8 is equivalent to 5/4.
Hope this helped!
Please answer it now in two minutes
Answer:3.2 ft
Step-by-step explanation:
sin 32°=[tex]\frac{yz}{6}[/tex]
cross multiply
sin 32° x 6=yz
0.5299 x 6 =yz
yz=3.1795
≅3.2ft
A rectangular solid has edges whose lengths are in the ratio 1:2:3. If the volume of the solid is 864 cubic units, what are the lengths of the solid's edges?
Answer: 5.24 units, 10.48 units , 15.72 units
Step-by-step explanation:
Volume of a rectangular solid is given by :-
V = lwh, where l = length , w= width and h = height
Given: A rectangular solid has edges whose lengths are in the ratio 1:2:3.
Let lengths of the rectangular solid x , 2 x, 3x.
volume of the solid is 864 cubic units
Then, Volume of rectangle = [tex]x (2x)(3x) =864\ \text{cubic units}[/tex]
[tex]\Rightarrow\ 6x^3 = 864\\\\\Rightarrow\ x^3 =144\\\\\Rightarrow\ x=(144)^{\frac{-1}{3}}\approx5.24[/tex]
Lengths of rectangular solid 5.24 units, 2 (5.24) units , 3(5.24) units
= 5.24 units, 10.48 units , 15.72 units
help again plz.......
i will give brainliest.The product of 5 and the sum of 12 and a certain number is 10. What is the number
Answer: x=-10
Step-by-step explanation:
5*(12+x)=10
Distribute
60+5x=10
Subtract(60)
5x=-50
x=-10
Hope it helps <3
Answer:
Heeyyy hope it helps
Step-by-step explanation:
Ok, so the product is the answer to a multiplication problem.
The product of 5 and the sum of a number(X) and 3 is
5(X + 3) = 12
5X + 15 = 12
5X = 12 - 15
5X = -3
X = -3/5
Compute the value of each expression 7−17
Answer: -10
Step-by-step explanation:
7 - 17 = -10. An easy way to do this (with only two terms) is to just flip it, and do 17 - 7 = 10, then make 10 negative(-10)
Hope it helps <3
Please help WILL GET REPORTED IF ANSWERS NONSENSE FOR POINTS I am really struggling and need help It is a lot of points so try answering as much
Answer:
301.59
Step-by-step explanation:
your answer was almost right you just forgot to multiply by 9