Answer:
The minimum guaranteed mileage is [tex]x = 71489.55[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 67900[/tex]
The standard deviation is [tex]\sigma = 2050[/tex]
Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as
[tex]P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X \ge x ) =1- P( Z<z) = 0.04[/tex]
=> [tex]P( X \ge x ) = P( Z<z) = 0.96[/tex]
=> [tex]z = \frac{ x - 67900 }{ 2050}[/tex]
From the z table, the critical value corresponding to 0.96 to the left of the curve is
[tex]z = 1.751[/tex]
So
[tex]1.751 = \frac{ x - 67900 }{ 2050}[/tex]
=> [tex]x = 71489.55[/tex]
What is the length of x?
Answer:
25
Step-by-step explanation:
a2+b2=c2
3^2+4^2=c^2
9+16=25
25^2=625
Sqrt of 625 = 25
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 4² + 3² = 16 + 9 = 25 ( take the square root of both sides )
x = [tex]\sqrt{25}[/tex] = 5
The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.
Which statement best describes the rate of change for this situation?
A. The worker earns $40 per hour.
B. The worker earns $8 per hour.
C. The worker earns $10 per hour.
D. The worker earns $320 per hour.
Option B - The worker earns $8 per hour is the correct alternative.
We have a graph that shows the relationship between the number of dollars a worker earns and the number of hours worked.
We have to select the statement which best describes the rate of change for this situation.
How do you calculate the Slope of Line ?The slope of a line can be calculated using -
[tex]$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
According to the question, we have two coordinate points marked on the graph -
P(20, 60)
Q(40, 320)
Using the formula to calculate the slope of a line, we get -
[tex]$m = \frac{320-160 }{40 -20 }[/tex]
m = 8
We know that the slope of the line represents the rate of change of y with respect to x. Therefore, the worker earns $8 per hour.
Hence, Option B is correct.
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What is the solution of the following system y=-2x=8 16+4x=2y
f(x) = x2 + 3x - 7 For the function shown, what is the range of the function when the domain is (-3, 2, 5}?A (-7,33] B) {3, 11, 21) C{-7.3, 33) D) {-7, 11, 33)
Answer: C
Step-by-step explanation:
URGENT 25 POINTS MATH EQUATION PLEASE NO POINT STEAL!
Answer:
it is diff because o the parentheses
Step-by-step explanation:
The set of integers from -3 to 3
Answer:
-3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
I am pretty sure you are trying to ask this but don't mind if it's not. If it's not just ignore it.
-3 is the smallest, so you go see the integers above it that are equal or less than 3.
Integers are numbers that can be negative or positive, but cannot be a decimal, square root, X and more.
So then the answer should be
-3, -2, -1, 0, 1, 2, 3
Given the function h(t)=2f^2+9 evaluate h(5)
Answer:
Concept: Evaluating Functions
h(5) is equivalently h(t)Hence 2(5)^2+9So the answer is 59Answer:
h(5)=59
Step-by-step explanation:
The function h(t) should be h(t)=2t²+9 NOT 2f²+9
With that said,h(5)=2(5²)+9
h(5)=50+9=59
Maria earns $2,000 a month, plus 3% commission on everything she sells. 2
Her sales totaled x dollars this month. Which amount represents the
amount of money Maria earns this month?
Answer:
2,000 + 0.03x
Step-by-step explanation:
(-3, -9) and (4, -2)
Linear equation
Answer:
y = x - 6
Step-by-step explanation:
find slope
m = -2 - (-9) / 4 - (-3)
m = 7 / 7
m = 1
find y intercept using slope formula
y = mx + b and plug in any points given
-2 = 1(4) + b
b = - 6
put it together
y = x - 6
Write seven hundred twenty-one in standard form
Answer:
721
Step-by-step explanation:
dog you in elementary school
Solve for y.
4y2 +9y=-2
Please hurry I need this fast
Answer:
Fourth choice (9,-2)
Step-by-step explanation:
Fourth choice (9,-2)
A bedroom measures 13.62 feet long and 11.5 feet wide. What is the most accurate measure of the area of the bedroom, in square feet?
Answer:
156.63 ft squared
Step-by-step explanation:
The bedroom is a rectangle.
Area of a rectangle- A=length times width
multiply the two numbers and you will get 156.63.
Be sure to add the units (feet).
Does the graph represent a function?
Yes or No
Answer:
Yes, the graph is a function because the lines do not overlap one another (vertical line test)
- I hope this helps have a great night
How do you inverse 3x-4y=6
Answer:
To find the inverse you switch x and y
Step-by-step explanation:
3y-4x=6
So 3y = 4x+6
and Y = 4/3x + 2
Answer:
y=(6-3x)/-4
Step-by-step explanation:
to get the inverse we make y the subject of the equation
3x-4y=6
-4y=6-3x
y=(6-3x)/-4
6.2x1015 (the 15 is above the 10)
Answer:
9.3
Step-by-step explanation:
6.2 x 15/10= 9.3
Answer:
Scientific notation is 1.6 x 10^16 and in regular format is:
160000000000000000
ASAP!!!!
What is 4 1/2 x 2
Answer:
Answer is 9 Broski mark as brainliest
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
452356273567187+646735264273852927×648463768÷636478476804387098-3×768370678679868687675785+34579256289574678556+87673976-7568975268565786578467858485647694587897436754675686587897558785578576×830463809745
Answer:
-6.28576e+81
Step-by-step explanation:
you have 10 eggs you crack 2 cook 2 and eat 2 how many eggs do you have left?
Answer:
Wouldn't it be 8?
Step-by-step explanation:
You crack 2 eggs and cook them, then eat them. If we cracked 2 eggs, cooked 2 different eggs, and ate 2 different eggs, that doesn't make sense.
Answer:
8
Step-by-step explanation: you can crack, cook, and eat with 1 egg
so if you cracked 2 cooked 2 and ate 2, it means that you only used 2
I WILL GIVE BRAINLIST!!
Showthat (2x+i)(2x−i) = 4x2 +1
(2x + I) (2x-I) = 4x^2 + 1
Using the complex arithmetic rule:
(A + bi)(a-bi) = a^2 + b^2
A would be the 2x and b would be the i
So you would have:
(2x)^2 + (i)^2
(2x)^2 = 2x times 2x = 4x^2
i ^2 = 1
Final answer is 4x^2 + 1
Need help asap in a hurry, please. Doing a budget The gross income is $54,000.
Find the value of x, given that the m∠2=2x+16
a) -11
b) 11
c) 10
d) 12
Answer:
Option D
Step-by-step explanation:
Given → Two sides of the triangle are equal in measure.
Therefore, given triangle is an isosceles triangle.
By the property of isosceles triangle, opposite angles of the equal sides of a triangle are equal in measure.
m∠A = m∠B = 70°
m∠A + m∠B + m∠C = 180°
70° + 70° + m∠C = 180°
m∠C = 180 - 140 = 40°
Since, m∠C = (2x + 16)°
(2x + 16)° = 40°
2x = 40 - 16 = 24
x = 12
Therefore, Option D will be the correct option.
In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house. Round your answer to the nearest dollar. (Let x = 0 represent 2000)
Answer:
$12,500 per year
Step-by-step explanation:
rate of change = change in dollars/change in years
So,
(245000 - 120000)/(2017 - 2007) = 125000/10 = $12,500 per year
There are 65 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 3 cups?
ANWSER:
STEP BY STEP EXAMPLE:
Answer: 22
Step-by-step explanation: 65 divided by 3 is 22
Answer:
21or22
Step-by-step explanation:
65/3
What is the volume of the rectangular prism?
Rose and Angel are caterers. Both Rose and Angel charge a flat fee plus a fee per guest. Rose charges a flat fee of $50 plus $12 per guest. The table shows how much Angel charges for different numbers of guests. Angel's Catering Charges Number of Guests Charge ($) 10 $180 15 $255 25 $405 30 $480 Part A Who charges the greater flat fee? O A. Rapse O B. Angel Part B Vhat is the difference in total charges between Angel and Rose for a party that includes 50 guests? Enter the answer in the box. Autohide sh Growth: Math 6+ GA 2015 Question ITU Shelf nositi
Answer:
a. Angel has a greater flat fee
b. Difference = $130
Step-by-step explanation:
Given
Rose:
[tex]Flat\ Fee = \$50[/tex]
[tex]Rate = \$12[/tex]
Angel
Guests --- Charges
10 -------- $180
15 -------- $255
25 -------- $405
30 -------- $480
Solving (a): Who charges the greater flat fee?
We have that the flat fee of Rose is:
[tex]Flat\ Fee = \$50[/tex]
For Angel, we need to determine the equation of the given table
Start by calculating the slope (m) of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where x and y represent any two corresponding values of the guests and the charges.
[tex](x_1,y_1) = (10, 180)[/tex]
[tex](x_2,y_2) = (30, 480)[/tex]
So: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{480 - 180}{30 - 10}[/tex]
[tex]m = \frac{300}{20}[/tex]
[tex]m = 15[/tex]
Next, we calculate the equation using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 15[/tex]
[tex](x_1,y_1) = (10, 180)[/tex]
[tex]y - 180 = 15(x - 10)[/tex]
[tex]y - 180 = 15x - 150[/tex]
Add 180 to both sides
[tex]y - 180 + 180 = 15x - 150 + 180[/tex]
[tex]y= 15x + 30[/tex]
From the equation above:
The slope = 15 --- This represents the hourly rate
and
y intercept = 30 --- This represents the flat fee
This is better represented as:
Angel
[tex]Flat\ Fee = \$30[/tex]
[tex]Rate = \$15[/tex]
and
Rose:
[tex]Flat\ Fee = \$50[/tex]
[tex]Rate = \$12[/tex]
By comparison, Angel has a greater flat fee
Solving (b): Difference between total charges of 50 guests for both caterers.
For angel, the equation is:
[tex]y= 15x + 30[/tex]
and x = 50.
So:
[tex]y = 15 * 50 + 30[/tex]
[tex]y = 750 + 30[/tex]
[tex]y = 780[/tex]
For Rose,
First, we need to determine the equation.
[tex]Flat\ Fee = \$50[/tex]
[tex]Rate = \$12[/tex]
The equation is:
[tex]y = Flat\ Fee + Rate * x[/tex]
[tex]y = 50 + 12 * x[/tex]
So, the total charges for 50 guests is:
[tex]y = 50 + 12 * 50[/tex]
[tex]y = 50 + 600[/tex]
[tex]y = 650[/tex]
The difference is then calculates as:
[tex]Difference = 780 - 650[/tex]
[tex]Difference = \$130[/tex]
Derek unpacked 126 kilograms of grapefruits and lemons. The grapefruits came in 10-kilogram bags and the lemons came in 8-kilogram bags. In all, Derek unpacked 13 bags of fruit. How many bags of grapefruits and bags of lemons did he unpack?
Answer:
11 bags of grapefruits; 2 bags of lemons
Step-by-step explanation:
Create a system of equations.
Let x be the number of grapefruit bags. Let y be the number of lemon bags.
x + y = 13
10x + 8y = 126
Rearrange the first equation to solve for x:
x = 13 - y
Substitute x in for x in the second equation:
10(13 - y) + 8y = 126
130 - 10y + 8y = 126
-2y = -4
y = 2
Plug y back into the first equation to solve for x.
x = 13 - 2
x = 11
Question 3 of 5
Which fraction and decimal forms match the long division problem?
SO
tele
OAS 0.50
OR S and 0.58
OGS and 0.58
OS and 0.58
I NEES HELP plz
Answer:
8/15= 0.533
Step-by-step explanation:
8 divided by 15 isn't possible so according to the rules of division we introduce a (0.) then we add a (0) to the back of (8) to make it (80) which is bigger than (15) so we now have (80/15) which is (5) remaining (5) then we add the back of the (0.) it then becomes (0.5) we then step down the remaining (5) and also add a (0) at the back to make it (50) which is also bigger than (15) (50/15) which gives us (3) and a remaining (5) add (3) to the back of (0.5) to become (0.53) also still step down the remaining (5) add a zero to it to become (50) still divide by (15) gives (3) and remains (5) and it gives the same answer so it is a reoccurring decimal.
Thank you hope I was of help!!
Which graph has x-intercept (-5,0) and y-intercept (0,-2)?
The top one is x-intercept, and the bottem one is y-intercept. Also the gray boxes are your answer
The graph of the x-intercept at x = -5 and y-intercept at y = -2 is given below.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
x-intercept = (-5, 0)
This means,
It is a vertical line at x = -5.
y-intercept = (0, -2)
This means,
It is a horizontal line at y = -2.
Thus,
The graph is given below.
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Find the 5th term of the following sequence:
f(n) = 3(-2)"
Answer:
42
Step-by-step explanation:
uih