Answers
Related Questions
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?
Answers
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]
You are doing chores to earn your allowance. For each chore you do, you earn $3. In the equation below, C is the
number of chores you do, and d is the number of dollars you earn.
The relationship between these two variables can be expressed by the following equation:
d=3c
Identify the dependent and independent variables.
Dependent variable
Independent variable
The number of chores you do
The number of dollars you earn
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Answer:
Independent- c (number of chores)
Dependent- d (number of dollars)
Step-by-step explanation:
Convert to Standard Form
13-6x-=y
Answers
Answer:
6x+y=13
Step-by-step explanation:
In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of Kare (10, 11). What are the coordinates of L?
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the amount of money in a bank account
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Answer:
I currently have $-68
Step-by-step explanation:
Find X if PQR is an isosceles triangle. Please
Answers
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
2-10n plez helppppppppppppppppppppp
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Answer:
2-10n=.............what. We can't figure out n given 2-10n without a solution
Step-by-step explanation:
A. 43 x + 98 = 11
B. 43x + 11 = 98
C. 11x+ 98 = 43
D. 11x+ 43 = 98
Answers
would you rather drive a car at the rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second, and why? which one is correct
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Answer: 15 meters per second
Step-by-step explanation: Kilometers are 1,000 times larger than meters
Find the 18th term of this arithmetic sequence:
12, 26, 40, 54,...
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Answer:
djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont
2-83. Build, simplify, and solve each equation. Record your work. Drag the tiles below into the equation mat.
a. -x+ 2 = 4
Answers
Answer:
you need to add 2 to the x and convert it to negative X=-2
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
Answers
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
What is x (in degrees)
Answers
Answer: 4
Step-by-step explanation:
By the exterior angle theorem,
[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]
Which shows how to best estimate the product of 0.4 x 0.93?
0 x 1 = 0
0.5 x 0.5 = 0.25
0.5 x 1 = 0.5
1 x 1 = 1
Answers
Answer:
b
Step-by-step explanation:
Answer:
C. 0.5 times 1 = 0.5
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?
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Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :
[tex]10 + 5x=y[/tex]
Now, it is given that his goal is minimum of 50 countries.
So,
[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]
Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Good Luck!!!
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?
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Answer:
The slope of the line is 0.1.
Combine like terms
9w-w =
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would u expect the product of 43.5 and 1.0001 to be greater than or less that 1 or equal to 43.5
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Answer:
Greater
Step-by-step explanation:
since it has a 0.0001 and not just 1 its greater 43.5
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
Answers
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
Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.
Answers
Answer:
The first number: 14
The second number: 16
The third number: 18
Step-by-step explanation:
Equations
Let's assume:
x=the first even number.
x+2=the second even number
x+4=the third even number
The sum of all three is: x + x + 2 + x + 4
The condition states the sum decreased by 34 equals the first number:
x + x + 2 + x + 4 - 34 = x
Moving all the variables to the left side and the numbers to the right side:
x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4
Simplifying:
2x = 28
Solving:
x = 28 / 2 = 14
The first number: 14
The second number: 16
The third number: 18
0.52 X 2.1 =
Help i don’t understand
Answers
Answer:
1.092
Step-by-step explanation:
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?
Answers
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
What is the equation of the line that passes through the point (2,-5) and is
perpendicular to y = 1/4x - 5? *
O y = -4x + 3
O y = 1/4x + 11/2
O y = -4x - 13
O y = -4X - 3
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Answer:
y=-4x+3
if you bring (2,-5) in other three lines.
you will know that it will be unreasonable that
-5=10
-5=-21
-5=-11
Find the minimum value of
C=x+3y
Answers
Answer:
DNE
Step-by-step explanation:
If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.
If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.
We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist
Hello there,
Use the first constraint to isolate y :
[tex]9x+2y\geq 35[/tex]
[tex]y \geq \frac{35-9x}{2}[/tex]
Now use the second one to isolate x :
[tex]x+3y\geq 14[/tex]
[tex]x\geq 14-3y[/tex]
You know that [tex]x\geq 0[/tex] and [tex]y\geq 0[/tex]
So what's the minimum value of x it's 0 ! Same for y !
So substitute x by 0 and y by 0
[tex]y\geq \frac{35}{2} =17.5[/tex]
[tex]x\geq 14[/tex]
So the minimum value of C is :
[tex]C=14+3*17.5[/tex]
[tex]\boxed{C=66.5}[/tex]
Hope it helps !
Photon
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
Answers
Answer:
A
Step-by-step explanation:
The three represents the amount it costs for each hour parked, and is continuous, which is a rate.
Roses are sold for 1.50 each or 4 for $6.00 on a graph of roses vs the total price of the roses what would be the slope
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Answer:
no
Step-by-step explanation:
unu
Step-by-step explanation:
do you have the answer now I need it please
713.49 written in standard form
Answers
Answer:
7.1349 * 102
Step-by-step explanation:
Hope this helps. Have a great day!
Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10.
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The image of the division problem is missing, so i have attached it.
Answer:
D: He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
From the image, we can see from the initial values, they are trying to divide 0.52 by 754.
In Mathematics, it means that 0.52 is the divisor while 754 is the dividend.
Now, the next step sees 0.52 changed to 52 while 754 changes to 7540.
Now, 0.52 to 52 means 0.52 was multiplied by 100.
This means that 754 should also be multiplied by 100 to give 75400 in order to retain the original answer that would have been gotten if we had divided 0.52 by 754.
Yet they used 7540.
Thus,the error is that he multiplied the divisor by 100 while he multiplied the dividend by 10.
Answer :
D - He multiplied the divisor by 100 and the dividend by 10.
⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form
Answers
Answer:
y = -1/4x+2
Step-by-step explanation:
Answer:
y = -1/4x + 2
Step-by-step explanation:
We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.
Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...
y = -1/4x + 2
Hope this helps!
What is the value of 120?