Answer:
-6
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -8- -14)/( 8 -9)
= ( -8+14)/( 8 -9)
6/-1
-6
Answer:
[tex]\boxed {\tt m= -6}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points given.
The points are (9, -14) and (8,-8). Therefore,
x₁=9
y₁= -14
x₂= 8
y₂= -8
Substitute the values into the formula.
[tex]m=\frac{-8 - -14}{8-9}[/tex]
[tex]m=\frac{-8 +14}{8-9}[/tex]
Solve the numerator.
[tex]m=\frac{6}{8-9}[/tex]
Solve the denominator.
[tex]m=\frac{6}{-1}[/tex]
Divide 6 by -1.
[tex]m= -6[/tex]
The slope is equal to -6
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]
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?
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!!!
What is the value of 120?
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
Convert to Standard Form
13-6x-=y
Answer:
6x+y=13
Step-by-step explanation:
A dog kennel charges $20 per night to board your dog. You can also have a dog treat delivered to your dog for $5. The equation 20x+5y=100 models the situation of possible combinations of nights at the kennel (x) and dog treats (y) that you can buy for $100.
Describe what the intercepts mean in context of the story.
Answer:
wow they are so tricky about what the math means.. huh :D why ask abstract math questions when it's supposed to be real hmmmm welll anyway
Step-by-step explanation:
so the y intercept or 0=y means you get your dog no treats... maybe you hate your dog... or he was bad in some way... no treats for you dog !! >:/
The X=0 intercept mean you love your dog and don't take him to the dog kennel but keep him at home. And take care of him yourself.. but you could still get him treats :) Probably for less then 5 dollars too.. I saw some at Costco for a lot less.. :)
Find the 18th term of this arithmetic sequence:
12, 26, 40, 54,...
Answer:
djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont
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]
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
Answer: 15 meters per second
Step-by-step explanation: Kilometers are 1,000 times larger than meters
713.49 written in standard form
Answer:
7.1349 * 102
Step-by-step explanation:
Hope this helps. Have a great day!
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:
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.
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
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
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
Answer:
Independent- c (number of chores)
Dependent- d (number of dollars)
Step-by-step explanation:
⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form
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!
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 the minimum value of
C=x+3y
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
would u expect the product of 43.5 and 1.0001 to be greater than or less that 1 or equal to 43.5
Answer:
Greater
Step-by-step explanation:
since it has a 0.0001 and not just 1 its greater 43.5
Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.
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
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
0.52 X 2.1 =
Help i don’t understand
Answer:
1.092
Step-by-step explanation:
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]
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
A. 43 x + 98 = 11
B. 43x + 11 = 98
C. 11x+ 98 = 43
D. 11x+ 43 = 98
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
the amount of money in a bank account
Answer:
I currently have $-68
Step-by-step explanation:
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
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.
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.
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
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