Answer:
14, 16, and 18
Step-by-step explanation:
hope this helps!
The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?
Answer:
The probability is [tex]P(900 < X < 1100) = 0.358102[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 1130[/tex]
The standard deviation is [tex]\sigma = \$ 150[/tex]
Generally the probability that the gas bill will be between $900 and $1100 is mathematically represented as
[tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]
=> [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]
So
[tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]
[tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]
From the z table
[tex]P(Z < -0.2 ) = 0.42074[/tex]
and
[tex]P(Z < -1.533) = 0.062638[/tex]
So
[tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]
=> [tex]P(900 < X < 1100) = 0.358102[/tex]
What is the image point of (7, 0) after a translation right 2 units and up 1 unit
Answer:
(9,1)
Step-by-step explanation:
The required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).
As mentioned in the question, the image point of (7, 0) after a translation right 2 units and up 1 unit is to be determined.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
The image point of (7, 0) after a translation right 2 units and up 1 unit is given as,
= (x + x', y + y')
= (7 + 2, 0 + 1)
= (9, 1)
Thus, the required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).
Learn more about coordinate here:
brainly.com/question/13498438
#SPJ1
Two equations are shown: I will give 40 pts if someone answers
Equation 1: (x – 12) = 12
Solve each equation.
Answer:
x and y both equal 24
Please help me!!!
Michael's parents doubled his pocket money. His sister paid $1 for ice-cream from her pocket money and he paid $3 of his poket money for an new toy. After making these payments, they have the same money left. If his sister's pocket money is $6, what was Michael's pocket money before doubling it?
1. How much money did they together have after making the payments?
2. How much money did Michael have after his pocket money was doubled. Find the value of x.
3. How much did Micheal's sister have before making the payment?
(ONLY THE ANSWER)
Answer:
x = $4
1. $10
2. $8
3. $6
Step-by-step explanation:
Let
Michael's doubled pocket money = 2x
He spends $3
Balance = 2x - 3
His sister's pocket money = $6
She spends $1
Balance = $6 - $1
= $5
2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8/2
= 4
x = $4
After making the payments, they both together have $10
After Michael's pocket money was doubled, he has 2x
= 2(4)
= $8
His sister's has $6 before making the payments
The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the slope of the line represented by the given equation?
Answer:
The slope of the line is 0.1.
Find the value of the expression below.
15 + 5 × 3
-------------- (fraction)
3² + 6
5
4
2
Answer:
2
Step-by-step explanation:
15 + 5 × 3
________
3² + 6
For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:
(15+15)/(9+6)
Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:
30/15
Finally, we divide 30/15 to get 2 as our answer
2
A poll conducted the day before the student- body presidential election at a midwestern university showed that 53.9 percent favored Mario, the rest favoring Yin Ling. The margin of error was 4.2 percentage points. Should Yin Ling have conceded the election?
Answer:
No
Step-by-step explanation:
The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error
The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)
This means that between 49.7% to 58.1% of the people would have voted for Mario.
Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario
A concert organizer learned from a market survey that when the admission price is $30, there is an average attendance of 800 people. For every $1 drop in price, there is a gain of 20 customers. Each customer spends an average of $5 on concessions. The concert hall has 1,000 seats.
Answer:
[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]
Step-by-step explanation:
From the information given :
The objective is to find the demand function which is expressed in p, the price in dollars charged for each ticket, as a function of x, and the number of average attendance is:
Suppose the admission price P = D(x) = 30 and number of average attendant = x = 800 people
Then:
ΔP = -1
Δx = 20
[tex]\left \{ \dfrac{\Delta x}{\Delta P }= -20 }}\ \right.[/tex]
According to point line form :
[tex]\dfrac{\Delta x}{\Delta P }= -20[/tex] where the point is (30, 800)
∴
x - 800 = -20 (P - 30)
x - 800 = -20P + 600
collect like terms
x + 20P = 800+ 600
x + 20P = 1400
x = 1400 - 20P
[tex]\mathsf{ P = 70 -\dfrac{ 1}{20}x}[/tex]
Thus, price in dollars for each ticket P = D(x) is:
[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]
ASAP ASAP ASAP
PLEASE HELP ME
Answer:
d
Step-by-step explanation:
Answer:
I rlly don't know how to help you bruh
Step-by-step explanation:
Why I can't understand the question and as to what they mean by if you fold it as shown though i know they probably mean where the shapes on the side are I say find someone else or take a wild guess.
write the sentence as an equation.241is the same as 364 fewer than f
Answer:
241 = f - 364
Step-by-step explanation:
Write the equation of the line passing through the points -2,3 and -1,-2 in slope intercept and point slope form
Answer:
y=-5x-7
Step-by-step explanation:
y=-5x-7
Hope you are having a good day!
Answer:
-26
Step-by-step explanation:
-23 + (-1-2) = -26
here's the image for the question I have:
Answer:
c
Step-by-step explanation:
Answer:
C::10:15
Step-by-step explanation:
It is C because he had 15 hours of first aid and 10 hours of cpr and the question says CPR TO FIRST AID therefore the number of CPR training hours will come before the number of First Aid training hours. If it would have asked you to reduce the ratio it would have been 2:3 because you would have had to divide both sides by 5 resulting in the smallest possible ratio.
HOPE THIS HELPS YOU OUT!
Given g(x)=-x-1, find g(-4)
Answer:
g(-4)=3
Step-by-step explanation:
g(x)=-x-1
g(-4)=-(-4)-1
g(-4)=4-1
g(-4)=3
Answer:3
Step-by-step explanation:
Hector had $98.70. He spent $52.67 for school clothes. How much money does Hector have left?
Answer:
$46.03
Step-by-step explanation:
Answer: A) $ 46.03
Step-by-step explanation: I took away $98.70 and $52.67 and I got A as answer :)
The cost of parking a car in an hourly lot can be represented by the following equation y = 3x + 2 What does the 3 tell you about the cost of parking?
A) The hourly rate is $3
B) You can only park for 3 hours
C) There is a $3 fee to park
D) it costs 5 dollars to park all day
Answer:
A
Step-by-step explanation:
The three represents the amount it costs for each hour parked, and is continuous, which is a rate.
Find X if PQR is an isosceles triangle. Please
Answer:
x=9
Step-by-step explanation:
because its isosceles, and as stated PQ = QR
so...
2x+1=3x-8
solve for x
x=9
Hope you are having a good day!
Answer:
The value of X in isosceles triangle is 9
What is the distance between (8, -3)and (4,−7)?
Answer:
+4sqrt(2)
Step-by-step explanation:
Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise"). Applying the Pythagorean Theorem, we get:
distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)
0.52 X 2.1 =
Help i don’t understand
Answer:
1.092
Step-by-step explanation:
What is the growth of the rule y=3x+5 ?
Need a number answer
need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.
Answer:
1+2+3=6 lol jk i dont have the numbers that they gave you
Step-by-step explanation:
1) What is the VERTEX of the Quadratic Graph below?*
( 0, -4 ) is the vertex of the parabola
a point is ____
•imaginary
•real
Answer:
a point Is an imaginary line
Answer:
imaginary
Step-by-step explanation:
asking questions is super in this education life
-4 = - 17 + x linear equations
add 17 to both sides
13 = x
hope this helps
See attachment for math work and answer.
Combine like terms
9w-w =
Is the following figure a parallelogram? Why?
P
O No, opposite angles are congruent.
O Yes, opposite sides are congruent.
O No, opposite sides are congruent.
O Yes, opposite angles are congruent.
A toy company manufactures sealed cubes that contain a colored liquid that glows in the dark. The liquid completely fills the cubes. If 8 cubic blocks with a side length of m are needed to find the volume of each cube, how much of the liquid can each cube hold?
Answer:
[tex]Volume = 8m^3[/tex]
Step-by-step explanation:
Given
[tex]Cubes = 8[/tex]
[tex]Length = m[/tex] for each
Required
Determine how much all cubes can hold
First, we need to determine the volume of each.
[tex]Volume = m * m * m[/tex]
[tex]Volume = m^3[/tex]
For the 8 cubes, we have:
[tex]Volume = 8 * Volume\ of\ 1[/tex]
[tex]Volume = 8 * m^3[/tex]
[tex]Volume = 8m^3[/tex]
What is x (in degrees)
Answer: 4
Step-by-step explanation:
By the exterior angle theorem,
[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]
I need help if you can.
Answer:
I cant see the equation that well, but i got 5/16
Step-by-step explanation:
Hope this helps!
Answer:
I got C) 1 and 1/4
Step-by-step explanation:
-0.5 + 0.75 = 0.25
1/5 = 0.20
0.25 divided by 0.20 would be over 1 because a fraction divided by another fraction brings the number while a whole number divided by a fraction would bring the number down.
0.25 divided by 0.20 = 1.25
Please can anyone help me
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5
Answer:
17 (I think)
Step-by-step explanation:
substitue -3 in for x so 4(-3) + y = 5
-12+ y =5
+12 +12
y=17
12⁴x 9³ x 4
6³ x 8² x 27
Answer:
12⁴ × 9³ x 4 = 60,466,176
6³ × 8² × 27 = 373,248
Step-by-step explanation:
You could use the expanded form to calculate the answer
12⁴ = 20,736
9³ = 729
4 = 4
20,736 × 729 × 4 = 60,466,176
6³ x 8² x 27
6³ = 216
8² = 64
27 = 27
216 × 64 × 27 = 373,248