Answer:
a
[tex]P(K = k ) = \ ^nC_x * p^k * (1-p)^{n-k}[/tex]
Here k is the random number of number of pairs of shoes that will be returned for refund, which can be k = 0,1 ,2,3,4 ..., 120
b
The mean is [tex]E(K) = np = 13.2[/tex]
The standard deviation is [tex]\sigma = 3.43[/tex]
c
The mean is [tex]E(C) = E(105 K) = 1386[/tex]
The standard deviation is [tex]\sigma = 381.48 [/tex]
Step-by-step explanation:
From the question we are told that
The cost to dealer for each refund is [tex]C = \$105[/tex]
The probability that a shoe will refunded is [tex]P(x) = 0.11[/tex]
The number of shoes purchased is n = 120 pairs
Generally the probability distribution of the number of pairs of shoes that will be returned for refunds is
[tex]P(K = k ) = \ ^nC_x * p^k * (1-p)^{n-k}[/tex]
Here k is the random number of number of pairs of shoes that will be returned for refund, which can be k = 0,1 ,2,3,4 ..., 120
Generally the mean is mathematically represented as
[tex]E(K) = np = 120 * 0.11[/tex]
=> [tex]E(K) = np = 13.2[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ n* p (1-p)}[/tex]
=> [tex]\sigma = \sqrt{ 120* 0.11 (1-0.11)}[/tex]
=> [tex]\sigma = 3.43[/tex]
Generally the total refund cost is mathematically represented as
[tex]C = 105 K[/tex]
Here K denotes the number of shoes returned
Generally the mean of the total refund cost is mathematically represented as
[tex]E(C) = E(105 K) = 105 E(K)[/tex]
=> [tex]E(C) = E(105 K) = 105 * 13.2[/tex]
=> [tex]E(C) = E(105 K) = 1386[/tex]
Generally the variance of the total refund cost is mathematically represented as
[tex]Var(K) = 105^2 * E(K)[/tex]
=> [tex]Var(K) = 105^2 * 13.2[/tex]
=> [tex]Var(K) = 145530[/tex]
=> [tex]\sigma = \sqrt{145530 }[/tex]
=> [tex]\sigma = 381.48 [/tex]
Which represents the inverse of the function f(x) = 4x?
Help plss !!
The inverse of any function is where you sway the 'y' and 'x' positions.
Thus if the equation is [tex]y = 4x[/tex]
The inverse is:
[tex]x = 4y\\y = \frac{1}{4} x\\[/tex]
Therefore the inverse is [tex]h(x) = \frac{1}{4} x[/tex]
Hope that helps!
The sum of ten and twice a number is
twenty-two. What is the number?
The only answer possible is 11 if we are talking whole numbers but something with decimals might work as well, I mean 22 only has 2 dividends and that is 11X2 and 22X1
Cindy has 30 meters of fencing. She
plans to fence in a rectangular dog run
that is 4 meters wide.
[Remember, the formula for the
perimeter of a rectangle (the distance
around) is p= 2L+2w,
where L=
length and w = width.]
How long can the run be made
Amir wants to buy a new MP3 player that costs $76.50. If he saves $8.50 each week, how many weeks will it take Amir to save enough money to buy the MP3 player? *
Answer:
9 weeks
Step-by-step explanation:
Answer:
It will take 9 weeks
Step-by-step explanation:
Which expression shows the prime factors of 220?
O A. 22 x 10
O B. 2x2x5x11
O c. 2x2 x 5 x 11 x 22
O D. 2 x 5 11
B. 2×2×5×11=220
if you divid 220 by 2=110
110÷2=55, 55÷5=11, 11÷11=1
2, 2,5, 11
An angle measures 44° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
The angle is 112 degrees and the supplement is 68 degrees.
Step-by-step explanation:
Let the angle’s measure be represented by x and the supplement’s measure be represented by y. Since supplementary angles add to 180 degrees, x + y = 180.
Since the supplement is 44 degrees less than the angle,
y + 44 = x
We can substitute y + 44 = x for x in the first equation, since they are equivalent.
y + 44 + y = 180
2y + 44 = 180
2y = 136
y = 68
Substitute 68 for y in one of the original equations and solve.
68 + 44 = x
x = 112
Help me find the area and perimeter of the rhombus
Answer: a= pq/2 p= 4a
Step-by-step explanation:
Which geometric term describes ZTAG?
A acute
B. obtuse
C. right
D. straight
CONNEXUS work
Answer:
Acute angle
Step-by-step explanation:
Since the angle is less than 90 degrees
From 39 seconds to 13 seconds
Answer:
26 seconds
Step-by-step explanation:
39 - 13 = 26
Which is greater 25% or 7/25
Answer:
7/25
Step-by-step explanation:
because its .28
The greatest between the 25% or [tex]\frac{7}{25}[/tex] should be considered as the [tex]\frac{7}{25}[/tex] because it is 28%.
Calculation of the greatest number:Since one percentage i.e. 25% and one fraction i.e. [tex]\frac{7}{25}[/tex]
We need to determine greater between these two
So the fraction in percentage could be 28%
So we can say that the fraction should be bigger.
hence, The greatest between the 25% or [tex]\frac{7}{25}[/tex] should be considered as the [tex]\frac{7}{25}[/tex] because it is 28%.
Learn more about number here: https://brainly.com/question/17166653
Help ASAP, will give brainliest, five stars, and a thanks.
Answer: $0.32
Rounded to the nearest penny = tenths.
We must round 0.325675 to the nearest tenth.
Answer = 0.32.
Hope this helps!
Answer:
Curtis will get $38.40 back
Step-by-step explanation:
First, we need to find out how much "real" money he has. The equation I did was:
50 + 30 + 30 + 8 = 118
Next, we must convert this into dollars, by multiplying by 0.325675
118 x 0.325675 = 38.42965
We round 38.42965 to the nearest penny:
38.42965
--> 2 rounds down to 0, so we keep just the $0.40
our answer is:
$38.40
anyone Watch's AOT who you fav character
Answer:
Levi is fine a_f
Step-by-step explanation:
Answer:
i dont know what AOT is
Step-by-step explanation:
I need help what is 11 times 34,000
Answer:
374000
Step-by-step explanation:
use a calculator
an airline is trying to promote its new Boston to Atlanta flight. the usual price for this flight is $315.00. however the airline is offering a 40% discount until the end of the month. how much will the flight cost after the discount?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 315}}{\left( \cfrac{40}{100} \right)315}\implies 126~\hfill \underset{\textit{after discount}}{\stackrel{315~~ - ~~126}{189}}[/tex]
If usual price for flight is $315.00, the airline is offering a 40% discount until the end of the month. then the cost of the flight after the discount is 126.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that an airline is trying to promote its new Boston to Atlanta flight.
the usual price for this flight is $315.00.
The discount offered by airlines is 40%.
We need to find the cost of the flight after the discount.
Convert 40% to decimal by dividing with 100.
40/100=0.4
Now multiply 0.4 with 315
0.4×315
Zero point four times of three hundred and fifteen.
126
Hence, the cost of the flight after the discount is 126.
To learn more on Percentage click:
https://brainly.com/question/28269290
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A motor boat traveling with the current went 30mi in 3 h. Against the current, it took 5 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current
Answer:
Speed of the boat is 9.4mph and the current is 15.4mph
Step-by-step explanation:
Rate= distance/ time
With current; rate= boat+ current= b+c
Against current; rate= boat - current = b- c
30=3(b+c)••••••••••••••eqn(1)
30=5(b-c)•••••••••••••••••eqn(2)
30=3b +3c••••••••••••••eqn(3)
30=5b-5c•••••••••••••••eqn(4)
Solve simultaneously
b=12mph
From eqn(3)
30=3b +3c
Divide both sides by 3, we have
10= b+c
If we make "b" the subject of the formula we have
b= (10-c)••••••••eqn(5)
Divide both side of eqn(4) by 5 we have
6=b-c••••••••eqn(7)
Substitute eqn(5) into 7
6= (10-c)-c
6= 10c-c^2
C^2-10c+6
C= 9.4 or 0.64
Substitute the highest value 9.4 into equation 7
6=b-9.4
b=6+9.4
b= 15.4
Speed of the boat is 9.4mph and the current is 15.4mph
need help 4/5 + 3/5 on a area model
PLEASE HELP MAYBE ILL GIVE YOU BRAINLIEST
THIS IS PROLLY EASY FOR U
For a field trip, a bus company charges a flat fee plus an additional fee per student. For
40 students, the total cost is $170.00. If there are 45 students, the total cost is
$182.50. Write an equation that represents the total cost y of the field trip for x
students. What would the total cost be if 80 students went on the field trip?
Answer: here
Step-by-step explanation:
The answer comes from the derivation of a straight line model for the cost vs students. Note that the change in cost of 145-135.50 = 9.50 for an increase of students from 25 to 30. The ratio of change of cost to change of students = 9.50/5 = 1.9 and becomes the slope coefficient "m" in the formula y= mx + b. y = the total cost, mx becomes the variable cost and b becomes the fixed cost. To find b, use the data point given where the total cost = $135.50 when the students = 25, or 135.50 = 1.9*25 +b. Solving for b yields $ 88. Note that the other data point is where the total cost is $145 for students = 30. Using the new total cost equation shows that 30*1.9+88= 145 thus verifying the math model works for the data points provided.
(2,3) (4,7)
Slope intercept form
Answer:
y=2x-1
Step-by-step explanation:
May God bless you and your family during this spring break
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y-3=2x-4\implies y=2x-1[/tex]
What is the radical of 23.5
Answer:
The result can be shown in multiple forms.
Exact Form:
√
23.5
Decimal Form:
4.84767985
…
Step-by-step explanation:
The outside temperature decreases by 7 degrees in 3.5 hours.
5a.) How would you represent the temperature change as a unit rate? Express your answer as an integer.
Please help I need an answer asap!
Answer: 2
Step-by-step explanation:
7 divided by 3.5 is 2
Ethan us packing bags with treats for a party. He wants every bag to have exactly the same treats in it. Ethan had 96 granola bars and 64 lollipops. How many granola bars are in each bag?
Answer: wut?
Step-by-step explanation:
Matt runs 1500 m in 3 minutes 45 seconds. Find his average speed in m/s. Give your answer as a mixed number.
6.25
meters per second or
22.5
kilometers per hour
Explanation:
1500
meters in
4
minutes or
240
seconds means
1500
240
=
1500
25
240
4
=
25
4
=
6.25
meters per second (dividing by
60
)
or
6.25
×
3600
=
22500
meters per hour
or
22.5
kilometers per hour.
-53/4-31/2= what’s the answer
Answer:
-155/4
Step-by-step explanation:
-53 + 62/ 4
⬇️
-53 + 62/4
Add
-155/4
An angle measures 126° more than the measure of its supplementary angle. What is the measure of each angle?
Solution:
We know that:
A pair of supplementary angles always sum up to 180°This means that:
[tex]x + x + 126 = 180[/tex]Step-by step calculations:
Combine like terms and simplify:
[tex]x + x + 126 = 180[/tex]=> [tex](x + x) + 126 = 180[/tex]=> [tex]2x + 126 = 180[/tex]Subtract 126 both sides:
=> [tex]2x + 126 - 126 = 180 - 126[/tex]=> [tex]2x = 54[/tex]Divide 2 both sides:
=> [tex]\frac{2x}{2} = \frac{54}{2}[/tex]=> [tex]x = 27[/tex]This means that one angle is 27°. Let's find the other angle.
Finding the other angle:
[tex]27 + 126 = Other \space\ angle[/tex]=> [tex]153 \space\ = Other \space\ angle[/tex]Thus, the measure of the angles are 27° and 153°.
Answer:
27° and 153°
Step-by-step explanation:
Let "x" represent the angle.
We know that supplementary angles must add up to 180 degrees.
First, let's set up an expression for the supplement of the angle "x":
x+126
Now, let's use this information to set up an equation:
[tex]x+x+126=180[/tex]
Combine like terms:
[tex]2x+126=180[/tex]
Subtract 126 from both sides:
[tex]2x=54[/tex]
Divide both sides by 2
[tex]x=27[/tex]
The supplement would be:
[tex]x+126=27+126=153[/tex]
Therefore the measures of the two angles are:
27° and 153°
The sum of two numbers is 30
and their quotient is 2
What are the two numbers?
Answer:
The numbers are 20 and 10.
Step-by-step explanation:
Let's say these teo numbers are x and y.
The sum of two numbers is 30
x + y = 30
Isolate y
y = 30 - x
Their quotient is 2
plug the newfound y value in the second equation.
x / y = 2
[tex]\frac{x}{30-x} = 2[/tex]
multiply both sides by (30 - x) to get rid of the fraction.
x = 2(30 - x)
x = 60 - 2x
x + 2x = 60 + 2x
3x = 60
dividie both sides by 3
x = 20
find y
y = 30 - x
y = 30 - 20 = 10
y = 10
The numbers are 20 and 10.
Answer:
10 and 20.
Step-by-step explanation:
x + y = 30
x/y = 2
x = 2y so substituting in the first equation:
2y + y = 30
y = 10
and x + y =30
so x + 10 = 30 giving x = 20.
On Tuesday, Jolene played basketball again. This time she took 27 shots and scored 23 of them. What percentage of the shots taken did Jolene make over both days combined?
Answer:
she made 80% of the shots over the 2 days
which shape is a rectangle?
question 7 on -ready
Answer:
I’m not sure about I-ready, everyone has different ones but I’ll give you some options.
A rectangle is a quadrilateral
A rectangle is a parallelogram
Unless I-ready is asking bout which SHAPE can be a rectangle then it’s a lot of different options.
A square can be a rectangle
Or a parallelogram with the givens being able to fit in to all the things that defines as a rectangle.
These are the options I can think of but pretty sure theres more. But it’s I-ready so it’s not complicated.
help me please i dont get it 123
Answer:
25 degrees?
Step-by-step explanation:
5x + 4 + 2x + 1 = 180
7x + 5 = 180
7x = 175
x = 25 i think???
idrk about the second question though sorry!
Consider the line y= −2/9x-7. Find the equation of the line that is perpendicular to this line and passes through the point , (2, 3) Find the equation of the line that is parallel to this line and passes through the point , (2,3).
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{9}} x-7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so then we can say that
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{2}{9}} ~\hfill \stackrel{reciprocal}{-\cfrac{9}{2}} ~\hfill \stackrel{negative~reciprocal}{-\left( -\cfrac{9}{2} \right)\implies \cfrac{9}{2}}}[/tex]
so we're really looking for the equation of a line whos slope is 9/2 and passes through (2 , 3)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{9}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{9}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-3=\cfrac{9}{2}x-9\implies \boxed{y=\cfrac{9}{2}x-6}[/tex]
now as far as the parallel line
keeping in mind that parallel lines have exactly the same slope, so we're really looking for the equation of a line whose slope is -2/9 and passes through (2 , 3)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{2}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{2}{9}}(x-\stackrel{x_1}{2}) \\\\\\ y-3=-\cfrac{2}{9}x+\cfrac{4}{9}\implies y=-\cfrac{2}{9}x+\cfrac{4}{9}+3\implies \boxed{y=-\cfrac{2}{9}x+\cfrac{31}{9}}[/tex]
4(a+2) = 8+4a
solve for a
Answer:
4a=4a
Step-by-step explanation:
first you multiply 4 to a then 4 to 2 you'll have 4A + 8 = 8 + 4A you subtract 8 to both sides which will make 0 and the only thing you'll have is 4a equals 4a and that's the answer
Answer: All Real Numbers
Step-by-step explanation:
All Real Numbers . Just completed this quiz