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
Monique buys a $4,700 air conditioning system using an installment plan that requires 20% down. How much is the down payment? *
Answer:
$940
Step-by-step explanation:
4700/0.2 = 940
PLEASE HELP ASAP!!!!!
Are the lines y=3x-2 and y=5+3x parallel, perpendicular, or neither? How do you know?
Answer:
Parallel
Step-by-step explanation:
They're Parallel because whenever you graph them you see they never touch.
units
5. Jerry is building a fence around a
rectangular garden. The length of the
fence is 7 feet and the width is 5 feet. How many square feet does he have inside for planting?
Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her. Choose the compound inequality that describes the elevation x of Ted's house. Part B Ted lives between _____m and _______m above sea level.
The compound inequality to describe the elevation of Ted's house is 135 > x > 128.
Ted lives between 128m and 135m above sea level.
How to explain the inequality?Now it is given that,
Sakura's house is at an elevation between 113 m and 120 m above sea level.
Let x be the elevation of Sakura's house.
So, 120 > x > 113
Now Ted lives about 15 m below her
Ted's house elevation = x - 15
So, the compound inequality to describe the elevation of Ted's house,
120 > x - 15 > 113
Adding 15 to the inequality we get,
120 + 15 > x - 15 + 15 > 113 + 15
Solving we get,
135 > x > 128
This is the required compound inequality.
Thus, the compound inequality to describe the elevation of Ted's house is 135 > x > 128.
Learn more about inequality here:
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3/5 = blank/20 whats the answer?
Answer:
3/5 = 12/20
Step-by-step explanation:
5 x 4 = 20 so mulyiply 3 x 4 to get 12
Which equation choice could represent the graph show below?
Answer:
A
Step-by-step explanation:
Hopefully this helps
What is the answer to Y=30x+25
Answer:
x=1/30y + -5/6
Step-by-step explanation:
Need answer asap.......
Answer: For this one, I'll use y=mx+b because that equation make the most sense in this scenario.
A) X is the number of hours, and 15, or b is the tip
B) y= 30x + 15.
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
May I please have brainliest?
What is the unit rate of a line that goes through the points (3,1)?
Answer:
2?
Step-by-step explanation:
maybe 2 is in between 1 and 3
Find the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4].
The average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.
According to the given question.
We have a function g(x) = 7x^2 + 8x^3.
And a interval [-3, 4].
As we know that, the average rate of change of y over an interval between 2 points (a, f(a)) and (b, f(b)) is the slope of the secant line connecting the 2 points.
To calculate the average rate of change between the 2 points we use the formula
f(b) - f(a)/ b - a
Therefore, the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is given by
[7(4)^2 + 8(4)^3 - 7(-3)^(2) - 8(-3)^3]/4 + 3
= [112 + 512 - 63 + 216]/7
= 777/7
= 111
Hence, the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.
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precalc help! i will report any fake answers
Answer:
D) 41.81 degrees
Step-by-step explanation:
In this problem, we are given a leg length (a=12) and the hypotenuse (c=18).
We need to select which trigonometric identity to use with the acronym SOHCAHTOA:
SOH -> sine=opposite/hypotenuse
CAH -> cosine=adjacent/hypotenuse
TOA -> tangent=opposite/adjacent
Given side a is opposite of angle A and side c is the hypotenuse, we clearly need to use the sine function.
Set up an equation based on the information you have:
sin(A)=12/18
Now take the inverse:
sin^-1(sin(A))=sin^-1(12/18)
A=41.8103149
So the best option is answer D) 41.81 degrees
1/2 X+4=6, Solve for X
Answer:
x = 4
Step-by-step explanation:
1/2 x 4 = 2 + 4 = 6
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
1/2x + 4 = 6
Step 2: Solve for x
Subtract 4 on both sides: 1/2x = 2Divide 1/2 on both sides: x = 4Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 1/2(4) + 4 = 6Multiply: 2 + 4 = 6Add: 6 = 6Here we see that 6 does indeed equal 6.
∴ x = 4 is the solution to the equation.
find the value of this expression is x=-8
x^2+6/x-6
Answer:
x=0.61933
Step-by-step explanation:
Let’s solve your equation step by step.
Step 1: Multiply both sides by x.
x
2
=
−
8
x
3
−
6
x
+
6
x
2
−
(
−
8
x
3
−
6
x
+
6
)
=
−
8
x
3
−
6
x
+
6
−
(
−
8
x
3
−
6
x
+
6
)
(Subtract -8x^3-6x+6 from both sides)
8
x
3
+
x
2
+
6
x
−
6
=
0
(Use cubic formula)
x
=
0.61933
Check answers. (Plug them in to make sure they work.)
please answer this extreme hard question. WHAT IS 1+1
golly gee this is hard... um take the one put it in the box..? maybe 7?
given the function f defined by the formula f (x)=2x+1 find the following:
evaluate f(-5)
f(-5)=
f(-5)=
f(-5)=
Answer:
f(-5)=-9
Step-by-step explanation:
f(x)=y
So knowing that -5 is equal to x plug it in
y=(2)(−5)+1
y=−9
If you have more questions just ask.
What is the standard form equation of the line shown below?
Answer:
y = -0.25x + 4.5
Step-by-step explanation:
hope this helps :D pls mark brainliest :D
Find the distance between M(4,−3) and N(−2,1) .
Answer:
√40 is answer
Step-by-step explanation:
distance between 2points =√(x2-x1)²+ (y2-y1)
=√(2+4)²+(-1+3)²
=√62+22
=√36+4
mark as brainlist
=√40
Using the graph, determine the coordinates of the roots of the parabola.
-6
-7
-4
-5
-3
-2
-10-9-8
-1
3
6
4
8
-1
Answer:
(1,0) (5,0)
Step-by-step explanation:
roots of a parabola are the x intercepts
PLS HELP A company that rents cars will rent a small car for $30 per day. Another company will rent the same type of car for $20 per day plus $0.08 for each mile driven. What is the number of miles per day at which the rental fees will be the same?
Answer: 125$
Step-by-step explanation:
Please need help on this one do list on this.
Answer:
HIG and EFD
Step-by-step explanation:
simmlar tryangles
Does the MVT apply? Explain why or why not.
y=-x^2/x-1 ; [-1,1]
Hi there!
[tex]\large\boxed{\text{No, it does not.}}[/tex]
[tex]y = \frac{x^{2} }{x-1}[/tex]
Looking at the equation, we can see that there is a discontinuity at x = 1 (Vertical Asymptote).
The interval given also includes x = 1 as an enclosed value.
Therefore, the MVT does not apply because the equation is not continuous on the interval [-1, 1].
Mrs. Fansler gives 25 assignments while Ms. Taylor gives 20 assignments. What is the ratio of Mrs. Fansler’s assignments to Ms. Taylor's assignments in simplest form? Write as a fraction using the / for the fraction bar (ex. 2/3 with no spaces).
WILL GIVE BRAINLIEST!!
Answer:
5/4?
Step-by-step explanation:
find the slope of the line.
Answer:
-1/2
Step-by-step explanation:
Answer:
This
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
2
-1
= -2
θ =
arctan( ΔY ) + 180°
ΔX
= 116.56505117708°
ΔX = -3 – 0 = -3
ΔY = 0 – -6 = 6
Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994
Equation of the line:
y = -2x – 6
When x=0, y = -6
When y=0, x = -3
Evaluate 38-3x5 will give brainlynest for answer please let it be correct
I really need help with this
The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.
The price f(x), in dollars, of fuel A after x months is represented by the function below:
f(x) = 2.27(0.88)x
Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part B: The table below shows the price g(m), in dollars, of fuel B after m months:
m (number of months) 1 2 3 4
g(m) (price in dollars)3.44 3.30 3.17 3.04
Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer.
Answer:
A. decreasing 12% per month
B. fuel A recorded the greater change
Step-by-step explanation:
Given an equation and a table of values, you want to compare the rates of change each represents.
A.The fuel price is described by ...
f(x) = 2.27(0.88^x)
We recognize this exponential equation to be of the form ...
f(x) = (initial value) × (growth factor)^x
Comparing parts of the equation, we see ...
growth factor = 0.88
The relation between growth factor and growth rate is ...
growth factor = 1 + growth rate
growth rate = growth factor - 1 = 0.88 -1 = -0.12 = -12%
This tells us the rate of change in fuel price is -12% per month.
B.To find the percentage change, we can use the formula ...
percent change = ((new value) / (old value) -1) × 100%
Applied to the first two table values, we have ...
percent change = (3.30/3.44 -1) × 100% ≈ -4.07%
This decrease of 4.07% is less than the decrease of 12% represented by the equation. Type A fuel recorded the greater percentage change.
Communicating
about Mathematics-
How can defining your variables when writing a system of equations help you determine the
answer to the question being asked?
Answer:
maths
Step-by-step explanation:
Urgent!!!!!!!!!!!!!!!!!!!
Answer:
4+2/3-1 = 3
Step-by-step explanation:
hopefully it helped
PLSSS HELPPP WILL GIVE BRAINLIEST
which equation describes the pattern shown in the table
Answer:
D
Step-by-step explanation:
Answer:
To be honest it has to be d
Step-by-step explanation:
If x=30827533.828277 and y=91036482828.54233 and z= 64699225.9172, what is x times z divided by (x times y)?
9514 1404 393
Answer:
≈ 0.0007106955794750354
Step-by-step explanation:
(xz)/(xy) = z/y = 6469922591720 / 9103648282854233
≈ 0.0007106955794750354 . . . . rounded to 16 significant figures
__
The result will be a repeating decimal fraction with a very long repeat. It may be longer than 70 billion digits.
need help asap with this geomtry question!
Answer:
[tex]1-25[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\The\ Sum\ of\ two\ sides\ of\ a\ triangle\ is\ always\ greater\ than\ the\ third\ side.\\Hence\ here,\\(10+14)>(x-2)\\24>x-2\\24+2>x-2+2\\26>x\\Or, x<26\\Hence,\\As\ x\ practically\ cannot\ be\ neither\ be\ negative, null nor\ 26,\ the range\ is\ from\ 1-25.\\[/tex]