Answer:
-1
Step-by-step explanation:
Complete y2 - y1 over x2 - x1 with your given points:
-2 - 5 = -7
_____ ____
3 - (-4) = 7
= ⁻⁷⁄₇ = -1 Simplify to lowest term
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]
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
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
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.
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
⚠️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!
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:
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.
1) What is the VERTEX of the Quadratic Graph below?*
( 0, -4 ) is the vertex of the parabola
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
713.49 written in standard form
Answer:
7.1349 * 102
Step-by-step explanation:
Hope this helps. Have a great day!
the amount of money in a bank account
Answer:
I currently have $-68
Step-by-step explanation:
0.52 X 2.1 =
Help i don’t understand
Answer:
1.092
Step-by-step explanation:
Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW
X= -2
Explanation: the photos are in order :)
Answer:
x = -2
Step-by-step explanation:
3/5 +3/10x = 4/5 + 2/5x
Step 1. Change every fraction into the same denominator
6/10 + 3/10 x = 8/10 + 4/10x
Step 2. Subtract 3/10x
6/10 = 8/10 + 1/10x
Step 3. Subtract 8/10
-2/10 = 1/10x
x = -2
Which expressions are equivalent to 46 ?
Answer:
frus
ggyfhhfgggdg the nearest whole number is the nearest whole thing that is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number of the nearest and the product of the nearest and we are all in this together to to 21211111111wwethkuff
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
write the sentence as an equation.241is the same as 364 fewer than f
Answer:
241 = f - 364
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.
A dolphin swam7 1/2 miles in 3/8 hour. what is its average speed in miles per hour?
Answer:
20 mph
Step-by-step explanation:
To find miles per hour you divide the number of miles by the number of hours
(7 1/2)/(3/8) = (15/2)(8/3) = 20 mph
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]
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:
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4):
(a) Reflection: in the y-axis (b) Translation (x,y) —> (x-5,y+7)
A. (4,7)
B. (-5,7)
C. (1,0)
D. (-4,7)
Answer:
093006570
Step-by-step explanation:
Rut ectjyvtjyhrjtjtj5j6
Plz help quick >_< What is the best estimate for 81.9 x 4.6?
O A) 100
OB) 360
OC) 400
OD 8,000
Answer:
B.
Step-by-step explanation:
When you multiply the two decimals you get 376.74 which is closer to 360 than 400
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
-4 = - 17 + x linear equations
add 17 to both sides
13 = x
hope this helps
See attachment for math work and answer.
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]
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
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
[tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex]
Answer:
ddsdvffgdf gddccd fddf
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