Answer:
A) P(Z > 5000) = 0.0322
B) P( Y = 2 or 3) ≅ 0.9032
Step-by-step explanation:
From the given information;
Suppose the sales for the first week are denoted by X and the sales for the second week are denoted by Y.
Then;
X & Y are independent and they follow a normal distribution.
i.e.
[tex]XY \sim N(\mu,\sigma^2)[/tex]
[tex]XY \sim N(2200,230^2)[/tex]
If we set Z to be equal to X+Y
Then, [tex]Z \sim N(2 \times 2200,2 \times 230^2)[/tex] since two normal distribution appears normal
[tex]Z \sim N(4400,105800)[/tex]
So;
[tex]P(Z > 5000) = 1 - P( Z< \dfrac{x = \mu}{\sqrt{\sigma}})[/tex]
[tex]P(Z > 5000) = 1 - P( Z< \dfrac{5000-4400}{\sqrt{105800}})[/tex]
[tex]P(Z > 5000) = 1 - P( Z< \dfrac{600}{325.2691})[/tex]
[tex]P(Z > 5000) = 1 - P( Z< 1.844626495)[/tex]
[tex]P(Z > 5000) = 1 - P( Z< 1.85)[/tex]
From the Z - tables;
P(Z > 5000) = 1 - 0.9678
P(Z > 5000) = 0.0322
B)
Let Y be the random variable that obeys the Binomial distribution.
Y represents the numbers of weeks in the next 3 weeks where the gross weekly sales exceed $2000
Thus;
[tex]Y \sim Bin(3,p)[/tex]
where;
[tex]p = 1 - P( Z < \dfrac{2000-2200}{230})[/tex]
[tex]p = 1 - P( Z < \dfrac{-200}{230})[/tex]
p = 1 - P( Z < - 0.869565)
From the Z - tables;
p = 1 - 0.1924
p = 0.8076
Now;
P(Y ≥ 2) = P(Y = 2) + P( Y =3 )
Using the formula
[tex]P(X = r ) = ^nC_r \times p^r \times q ^{n-r}[/tex]
[tex]P( Y = 2 \ or \ 3) =^ 3C_2 \times 0.8076^2 \times ( 1- 0.8076) ^ {3-2} + ^ 3C_3 \times 0.8076^3 \times ( 1- 0.8076) ^ {3-3}[/tex]
[tex]P( Y = 2 \ or \ 3) =\dfrac{3!}{2!(3-2)!} \times 0.8076^2 \times ( 0.1924) ^ 1 + \dfrac{3!}{3!(3-3)!}\times 0.8076^3 \times ( 0.1924) ^ {0}[/tex]
[tex]P( Y = 2 \ or \ 3) =0.3764600911 +0.526731063[/tex]
P( Y = 2 or 3) = 0.9031911541
P( Y = 2 or 3) ≅ 0.9032
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select three options.
A -2
B 0
C 5
D 8
E 10
Answer:
8
Step-by-step explanation:
300 - 140 = 160 so 160 divided by 20 is 8
Answer:
8, 0, 10
Step-by-step explanation:
PLEASE ANSWER QUICK 90 POINTS AND BRAINLIEST
Answer:
okay show me itStep-by-step explanation:
I am up for it whatever you needYESS
Because these are f r e e points
give answers please!
Answer:
9.) -3
10.) -4
11.) -5
12.) -2
Step-by-step explanation:
1.) You need to plug in a number from the table into x on the equation
2.) Once you plug in the number divide that number by 3
3.) Once you divide it subtract by 3 from the number you got
4.) Then you get the solution and plug it into the table
Solve For y:
-1/2=3/8y
y=
Answer:
y = -4/3
Step-by-step explanation:
multiply each side with a reciprocal of 3/8 which is 8/3.
8/3 * -1/2 = -4/3
Answer:
-4/3
Step-by-step explanation:
Graham decided to play football this year instead of getting a part-time job. Last year he made about $1,100 during football season. He also spends about $9 on eating out after each game. His team plays a 10-game season. What is his opportunity cost of playing football?
10,091 because it's a 10 season football season and he spends 9 dollars every game
Step-by-step explanation:
ez
The opportunity cost of playing football for Graham is $1,190.
What is the Opportunity cost?The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.
Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.
Therefore, the opportunity cost of playing football for Graham is,
Opportunity cost
= Amount that Graham would have made in a part-time job + Total cost of playing football season
= $1,100 + (Number of games × Amount spend in a single game)
= $1,100 + (10×$9)
= $1,100 + $90
= $1,190
Hence, the opportunity cost of playing football for Graham is $1,190.
Learn more about Opportunity Cost here:
https://brainly.com/question/13036997
#SPJ2
Rewrite 14 1/3 as an improper fraction
Answer:
Step-by-step explanation:
((14×3) + 1 )/3 = (43/3)
14 1/3 can be expressed as 43/3, which is an improper fraction.
To rewrite 14 1/3 as an improper fraction, we need to convert the mixed number into a fraction.
First, we multiply the whole number (14) by the denominator of the fraction (3) and add the numerator (1). This gives us the numerator of the improper fraction. The denominator remains the same.
14 × 3 = 42
Next, we add the numerator (1) to the result we obtained above.
42 + 1 = 43
Therefore, the improper fraction equivalent to 14 1/3 is 43/3.
In the fraction 43/3, the numerator (43) represents the total number of parts we have, and the denominator (3) represents the size of each part. It indicates that we have 43 equal parts of size 1/3.
Learn more about the fraction here:
brainly.com/question/10354322
#SPJ2
Which expression is equivalent to 5(2y + 8) − 4y ?
A. 6y + 40
B. 6y + 8
C. 14y + 40
D. 14y + 8
CMON PLEASE ITS TIMED.
Answer:
I also think its A.
Step-by-step explanation:
10y + 40- 4y
(10y-4y)+40
6y+40
Mrs. Jones wants to make cookies.
She can make chocolate, vanilla, butter, or oatmeal cookies.
She will add either chocolate chips, nuts, or raisins.
How many different types of cookies can Mrs. Jones make?
Answer:
16
Step-by-step explanation:
True or false. The following are equivalent statements
Answer:
im pretty sure its false
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainlyest⚠️
Answer:
They are parallel, they will never intersect.
Step-by-step explanation:
Notice that they have exactly the same steepness, which means their slopes are identical. The only difference between the two lines is the y-intercept. If we shifted one line vertically toward the y-intercept of the other, they would become the same line.
A bakery sells 6 rolls for $1.50. If this relationship is graphed with the number of rolls on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per roll?
Answer:0.25
Step-by-step explanation: 1.50÷6
The slope of the graph in dollars per roll is 0.25.
What is the slope of a line?The slope of a line indicates the direction and the steepness of the line.
Given that, the bakery sells 6 rolls for $1.50.
The slope of the line in dollars per roll is given by:
(total cost)/(total roll)
= 1.50/6
= 0.25
Hence, the slope of the graph in dollars per roll is 0.25.
To learn more about slopes, click here:
https://brainly.com/question/3605446
#SPJ2
Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer’s fixed cost and the rate per student served?
Step-by-step explanation:
the price charged for 100 students reflects the cost per student that applies to the order as a whole.
100 * 6 = $600, so the fixed cost is 750-600 = 150.
...
We can check this by substituting in the other equation.
Does 150*6 + 150 = 1050?
150*6=900
900+150 = 1050.
Yes, it does
...
We can express this relationship by the equation:
y = mx + b
where
y = total cost
m = $6 per student
x = number of students
b = fixed costs = 150
y = 6x + 150
The caterer’s fixed cost and the rate per student served is $6 and $150
How to choose what quantity to multiply the first equation?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]
then, if we want to eliminate variable x, then we have to multiply equation 1 with
[tex]-\dfrac{a_2}{a_1}[/tex]
which will make coefficient of x in first equation as
[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]
Then adding both equation will eliminate the variable x.
Given;
Cost of 100 students= $750
Cost of 150 students= %1050
Let the fixed cost of caterer be x
and the cost per student be y
x+100y=750...(1)
x+150y=1050...(2)
solving the above equations;
50y=300
y=6
x=750-600=150
The fixed cost is $150, while the per-student cost is $6.
Learn more about linear equations;
https://brainly.com/question/10413253
#SPJ5
What is the absolute value of -27 1/3
The absolute value of -27 1/3 is 27 1/3. The meaning of absolute value is the distance from the number and zero. -27 1/3 is 27 1/3 away from zero.
Answer: 27 1/3
Reason: The absolute value is the distance from that number to zero, and that's why it's that answer.
I hope this helps, and Happy Holidays! :)
Is TA congruent to GO? Proof?
Answer:
Yeah
Step-by-step explanation:
Use the figure and follow the directions below.
This question is designed to be answered without a calculator.
Use this graph of function f.
For how many values of x is f not differentiable over the interval (–4, 4)?
Answer:
4
Step-by-step explanation:
In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.
Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
Learn more about implicit differentiation; https://brainly.com/question/11887805
#SPJ2
I’m stuck but the next drop down is above or below
Answer:
less; below
Step-by-step explanation:
We can change both fractions to improper fractions first for easier comparison.
-[tex]\frac{7}{5}[/tex] = -
-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{5}{5}[/tex] -
-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{6}{5}[/tex]
As you can see, -[tex]\frac{7}{5}[/tex] has a higher absolute value but both fractions are negative so it has a lesser value than -[tex]\frac{6}{5}[/tex] and thus would also be below -[tex]\frac{6}{5}[/tex].
What is the sum of three hundredths plus two?
Answer:
2.03
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
Oy=2x-4
Oy=2x-3.
Oy=2x+3
Oy=2x+4
Answer:
Oy=2x+3
Step-by-step explanation:
The function that has the {y} - intercept as that of the function graphed is y = 2x + 3
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the linear function that has the same y-intercept as the one that is represented by the graph.
The function graphed has the {y} - intercept of 3.
For the functions given -
Functions {y} - intercept
y=2x-4 -4
y=2x-3. -3
y=2x+3 3
y=2x+4 4
So, the function that has the {y} - intercept of 3 is y = 2x + 3.
Therefore, the function that has the {y} - intercept as that of the function graphed is y = 2x + 3.
To solve more questions on functions, visit the link below-
brainly.com/question/30194223
#SPJ7
Help plz aidjkeksnszhosksoaoaoaozizbzbzjsijssj
1 2/3 X 2 5/8
Please helo
Answer:
The answer in whole number form is 4 5/8
Step-by-step explanation:
How many works can be formed for rearranging the letters of the word PROBLEMS such that P and S the first and last position respectively
Without graphing, classify each system
independent, dependent, or inconsistent
15x = 10y - 20
18 + 9x = 6y
Answer:
Inconsistent
Step-by-step explanation:
None
Which area on the map is home to the most petroleum fields in Europe?
A) A
B) B
C) C
D) D
Answer: I think the answer is D
Step-by-step explanation:
Ralph makes $6.50 per hour plus about $10 in commission at his job. Tom makes $6.15 per hour plus about $15 in commission at his job. Which system of equations matches this situation, if x represents the number of hours worked, and y represent total pay?
a) y=6.50x+15
y=6.15x+10
b) y=10x+6.50
y=15x+6.15
c) y=6.50x+10
y=6.15x+15
d) y=6.50x+10
6.15x+y=15
Answer:c
Step-by-step explanation:
On Tuesday Alberto bought 6 hats. On Wednesdqy half of all the hats that he had were destroyed. On Thursday there were only 13 left . How many did he have on Monday? please show steps??
Answer:
He had 20 hats on monday
Step-by-step explanation:
13*2= 26
26-6= 20
7 is what percent of 8
Answer:
87.5%
Step-by-step explanation:
.
..
...
....
......
......
....
....
7 is 87.5 percent of 8.
Here, we have,
given that,
7 is what percent of 8
now, let,
x% of 8 is 7.
we know that,
of means multiply
now, we have,
x% of 8 is 7..
=> x% × 8 = 7.
=> x% = 7/8
=> x% = 0.875
=> x = 0.875 * 100
=> x = 87.5
To learn more on percentage click:
brainly.com/question/13450942
#SPJ6
You deposit $500 into an account that is compounded quarterly at a rate of 7.2%. In how many years will it take for your account to have over $1000?
Answer:
4560 is right answer
Step-by-step explanation:
4560 is right answer
Rank the following tools for measuring length from those that give the least precise results to the most precise results.
Highway mile marker
A yardstick
A length of a person's foot
A five - foot long branch from a tree
Answer:
option 3,4,2,1
Step-by-step explanation:
Jim has 3 pairs of pants
and 2 shirts. How many
different ways can he
dress?
Answer:
2 to 5 different ways
Step-by-step explanation:
Answer:
12 different ways he can dress
Step-by-step explanation:
Let The Pant be A and Shirt be B
So, we have 3 pair of pants i.e., 6 Pants
Here, We assumed that the pant be A then 6 pants be
A₁ A₂ A₃ A₄ A₅ A₆
Now, For Shirts
We have 2 Shirts
But we assumed that the Shirt be B then 2 Shirts be
B₁ B₂
Then, We will make pair of A and B
A₁ = B₁
A₂ = B₁
A₃ = B₁
A₄ = B₁
A₅ = B₁
A₆ = B₁
A₁ = B₂
A₂ = B₂
A₃ = B₂
A₄ = B₂
A₅ = B₂
A₆ = B₂
Thus, 12 different ways he can dress
-TheUnknownScientist