Answer:
36.1683
Step-by-step explanation:
45*80.374/100=
You change oil every 6000 miles and drive 2000 miles a month; how many times a year do you change oil?
Answer:
you would change it 4 times a year
Step-by-step explanation:
if there is 12 months in a year and 3 mounths equal 6000 then divide 12/3=4
please help me please!!!
Answer:
she has covered 6 miles in 1 ½ hours
Step-by-step explanation:
you need to learn how to read a graph.
it quite easy actually.
just look where the line on the graph is on 1.5 hours ( you can count the boxes if you don't know where 1.5 or 1 ½ is)
A 24-centimeter by 119-centimeter piece of cardboard is used to make an open-top box by removing a square from each corner of the cardboard and folding up the flaps on each side. What size square should be cut from each corner to get a box with the maximum volume
Answer:
The size square removed from each corner = 32.15 cm²
Step-by-step explanation:
The volume of the box = Length * Breadth * Height
Let r be the size removed from each corner
Note that at maximum volume, [tex]\frac{dV}{dr} = 0[/tex]
The original length of the cardboard is 119 cm, if you remove a size of r (This typically will be the height of the box) from the corner, since there are two corners corresponding to the length of the box, the length of the box will be:
Length, L = 119 - 2r
Similarly for the breadth, B = 24 - 2r
And the height as stated earlier, H = r
Volume, V = L*B*H
V = (119-2r)(24-2r)r
V = r(2856 - 238r - 48r + 4r²)
V = 4r³ - 286r² + 2856r
At maximum volume dV/dr = 0
dV/dr = 12r² - 572r + 2856
12r² - 572r + 2856 = 0
By solving the quadratic equation above for the value of r:
r = 5.67 or 42
r cannot be 42 because the size removed from the corner of the cardboard cannot be more than the width of the cardboard.
Note that the area of a square is r²
Therefore, the size square removed from each corner = 5.67² = 32.15 cm²
How do I tell if scatterplot is linear?
If you are given the graph of g(x)=log2x, how could you graph f(x)=log2x+5
Answer:
The plus 5 is a vertical translation. It would move g(x) up 5 units at all points. So just take g(x) and move the curve up 5 units.
Find the left critical value for 95% confidence interval for σ with n = 41. 26.509 24.433 55.758 59.342
Answer: 59.342
Step-by-step explanation:
The chi-square critical values are used to find the confidence interval for σ.
Left critical value = [tex]\chi^2_{\alpha/2, n-1}[/tex] [i.e. chi-square value from chi-square table corresponding to degree of freedom n-1 and significance level of [tex]\alpha/2[/tex]]
To find : left critical value for 95% confidence interval for σ with n = 41.
Significance level : [tex]\alpha=1-0.95=0.05[/tex]
degree of freedom = 41-1=40
Now, the left critical value for 95% confidence interval for σ with n = 41 is the chi-square value corresponding to degree of freedom n-1 and [tex]\alpha/2=0.025[/tex]
=59.342 [from chi-square table ]
Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .
Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k
parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t
Step-by-step explanation: The vector equation is a line of the form:
r = [tex]r_{0}[/tex] + t.v
where
[tex]r_{0}[/tex] is the position vector;
v is the vector;
For point (7,4,5):
[tex]r_{0}[/tex] = 7i + 4j + 5k
Then, the equation is:
r = 7i + 4j + 5k + t(3i + 2j - k)
r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k
The parametric equations of the line are of the form:
x = [tex]x_{0}[/tex] + at
y = [tex]y_{0}[/tex] + bt
z = [tex]z_{0}[/tex] + ct
So, the parametric equations are:
x = 7 + 3t
y = 4 + 2t
z = 5 - 5t
WHY CAN'T ANYONE HELP ME? Twice last month, Judy Carter rented a car in Fresno, California, and traveled around the Southwest on business. The car rental agency rents its cars for a daily fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 440 miles, and the rental cost her $286. On her second business trip she drove 190 miles in 3 days, and paid $165.50 for the rental. Find the daily fee and the mileage charge.
Answer:
The daily rate is $33 and the per mile rate is $0.35
Step-by-step explanation:
4x + 440y = 286
3x + 190y = 165.5
We can solve this systems of equations by multiplying the second statement by [tex]-\frac{4}{3}[/tex] to try and eliminate the x variable.
4x + 440y = 286
-4x - [tex]\frac{760}{3}[/tex]y = -220[tex]\frac{2}{3}[/tex]
[tex]\frac{560}{3}[/tex] y= [tex]\frac{196}{3}[/tex]
560y = 196
y = 0.35
So, the rate per mile is 0.35. Now, with this info, let's find the daily rate by plugging it into the equation.
[tex]4x + 440\cdot0.35 = 286\\4x + 154 = 286\\4x = 132\\x = 33[/tex]
So, the daily rate is $33 and the mile rate is $0.35.
Hope this helped!
Answer:
the daily fee =33 dollars
and the mileage charge.=0.35
let d: be daily fee and m for mileage
cost of rental =(d*number of days)+ (m*number of mileage)
her first trip: 4d+440m=286
her second trip: 3d+190m=165.5
solve by addition and elimination
4d+440m=286 ⇒ multiply by 3 ⇒12d +1320m=(3)286
3d+190m=165.5⇒ multiply by 4⇒12d+190(4)m=4(165.5)
12d+1320m=858
12d+760m=662
subtract two equation to eliminate d
12d+1320m-12d-760m=858-662
560m=196
m=7/20=0.35 for on mileage
d: 4d+440m=286
4d=286-440(0.35)
d=(286-154)/4 33 dollars
If x^2/2 is added to sum of y^2/2
,the number equals to 0 . find the value of x and y
Answer:
0
Step-by-step explanation:
x ^2/2 + y^2/2 = 0
Then x and y can be 0
0^2/2 + 0^2/2
0/2 +0/2 = 0
0 + 0 = 0
0 = 0
Which expression is equivalent to x^-5/3?
Answer:
[tex]\frac{1}{(\sqrt[3]{x} )^5}[/tex]
Step-by-step explanation:
[tex]x^{-\frac{5}{3} }[/tex] = [tex](\sqrt[3]{x} )^{-5}[/tex] = [tex]\frac{1}{(\sqrt[3]{x} )^5}[/tex]
Marcia is a bag that contains four green marbles, eight yellow marbles, and 20 red marbles. If she chooses one marble from the bag, what is the probability that the marble is not red?
Answer:
3/8
Step-by-step explanation:
The bag contains 4 green marbles, 8 yellow marbles and 20 red marbles.
The total number of marbles is 32.
She chooses one from the bag.
The probability of the marble not being red is:
P(not red) = 1 - P(red)
P(not red) = 1 - (20 / 32) = 1 - 5/8
P(not red) = 3/8
The probability of it not being red is 3/8.
A bike tire just ran over a nail, and it is losing pressure at a rate of 5% every minute. The tire pressure is currently 1,300 kilopascals. What will it be in 3 minutes? If necessary, round your answer to the nearest tenth.
Answer:
1,114.6 kPa
Step-by-step explanation:
P(t) = 1300 (0.95)^t
P(3) = 1300 (0.95)^3
P(3) = 1114.6
3. What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. (4 points)
Answer:
7.81
Step-by-step explanation:
its a triangular shape
let x = 4 + 2 = 6
let y = 5
length between two points = h
h² = x² + y²
h² = 6² + 5²
h = sqrt of 61
h = 7.81
x/-8 ≥−5 solve for x
Answer:
x ≤ 40
Step-by-step explanation:
x/-8 ≥−5
Multiply each side by -8, remembering to flip the inequality
x/-8 *-8 ≤−5 *-8
x ≤ 40
Answer:
x ≥ 40
Step-by-step explanation:
[tex]\frac{x}{-8} \geq -5[/tex]
x ≥ -5 * -8
x ≥ 40
Check
40 / -8 ≥ -5
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k. SOLUTION (a) The gradient of f is ∇f(x, y, z) = fx(x, y, z), fy(x, y, z), fz(x, y, z)
Answer:
a) f = sin(yz)i + xzcos(yz)j + xycos(yz)kb) -2Step-by-step explanation:
Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;
fx, fy and fz are the differential of the functions with respect to x, y and z respectively.
a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k
The gradient of f = sin(yz)i + xzcos(yz)j + xycos(yz)k
b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v
∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k
∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k
∇f(1, 2, 0) = 0i +0j + 2k
Given v = i + 4j − k
∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)
∇f(1, 2, 0)*v = (0i +0j + 2k)*(i + 4j − k )
Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0
∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k
∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)
∇f(1, 2, 0)*v =0+0-2
∇f(1, 2, 0)*v= -2
Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2
A drawer is filled with 3 black shirts, 8 white shirts, and 4 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a white shirt. Write your answer as a fraction.
The probability that the shirt that is chosen at random from the drawer is not a white shirt, can be found to be 47 %
How to find the probability ?The probability that the shirt picked is not a white shirt can be found by first finding the number of shirts that are not white shorts in the drawer. This number is :
= Number of black shirts + Gray shirts
= 3 + 4
= 7 shirts
Then, find the total number of shirts in the drawer, including the white shirts :
= Number of black shirts + Gray shirts + White shirts
= 3 + 8 + 4
= 15 shirts
The probability that when a shirt is chosen at random, that it is not a white shirt is :
= Number of shirts that are not white / Total number of shirts
= 7 / 15
= 47 %
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Which of the following box plot best represents the set of data below
Answer:
C. Box plot B
Step-by-step explanation:
A company pays its employees an average wage of $17.90 an hour with a standard deviation of $1.50. If the wages are approximately normally distributed and paid to the nearest cent, the highest 2.5% of the employees hourly wages is greater than what amount
Answer:
$20.84
Step-by-step explanation:
To solve the above question, we would be using the z score formula
The formula for calculating a z-score :
z = (x - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation
x = unknown
μ = $17.90
σ = $1.50
We were not given z score in the above question but this can be determined.
We are told in the question to find the amount that the highest 2.5% of the employees hourly wages is greater than.
Hence, our confidence interval = 100 - 2.5 = 97.5%
The z score for 97.5% = 1.96
Below are inequalities equations with more explanation.
P(X ≥ x) = 2.5% = 0.025
P(X ≤ x) = 1 - 0.025 = 0.975
P (X - μ)/σ ≤ (x - μ)/σ) = 0.975
z ≤ (x - μ)/σ = 0.975
z ≤ 1.96 = 0.975
z = (x - μ)/σ,
1.96 = x - 17.90/1.5
Cross Multiply
1.96 × 1.5 = x - 17.90
x = (1.96 × 1.5) + 17.90
x = 2.94 + 17.90
x = 20.84
Therefore, the amount that the highest 2.5% of the employees hourly wages is greater than is $20.84
The initial population of a town is , and it grows with a doubling time of 10 years. What will the population be in years?
Answer:
This question is incomplete, i will answer it as:
"The initial population of a town is A, and it grows with a doubling time of 10 years. What will the population be in X years?"
Ok, the growth of a population usually is an exponential growth, so we can write this as:
P(t) = A*exp(r*t)
Where A is the initial population.
r is the rate of growth, and t is our variable, in this case, number of years.
Now we know that when t = 10y, the population doubles, so we should have:
P(10y) = 2*A = A*exp(r*10y)
2 = exp(r*10)
ln(2) = r*10
ln(2)/10 = r = 0.069.
Then our equation is:
P(t) = A*exp(0.069*t)
Now, if we want to know the population in X years, we need to replace the variable t by X
P(t = X) = A*exp(0.069*X)
A random sample of 10 subjects have weights with a standard deviation of 11.6144 kg. What is the variance of their weights? Be sure to include the appropriate units with the result.
Answer:
Variance=134.8943 kg
Step-by-step explanation:
The relationship between standard deviation and variance is that standard deviation is the square root of the variance.
So given the value of standard deviation to be 11.6144kg, the variance will be the square of the number.
Standard deviation= √variance
Standard deviation ²=√variance²
Standard deviation ² = variance
11.6144²= variance
134.8943
Variance=134.8943 kg
Answer:
122.4409 kg
Step-by-step explanation:
im not sure what it is asking me to do
Answer:
0.79Step-by-step explanation:
[tex]p(x \leqslant 0) = p( - 5) + p( - 3) + p( - 2) + p(0)[/tex]
[tex] = 0.17 + 0.13 + 0.33 + 0.16 [/tex]
[tex] = 0.79[/tex]
Hope this helps...
Best regards!!
Graph the linear equation. Find three points that solve the equation. - 3x +2y=2
Answer:
y=3/2x+1 0,1 2,4 4,7
Step-by-step explanation:
-3x+2y=2
+3x
2y=3x+2
/2 /2 /2
y=3/2x+1
You work in a machine design department and need to specify the diameter of a pin that slides back and forth through a hole. The hole diameter is specified as 0.500 inch with a tolerance of 0.010 inch. The maximum pun diameter must be 0.002 inch smaller than the minimum hole diameter. If the pin diameter has a tolerance of 0.010 inch what diameter in inches should you specify for the pin?
Answer:
B. 0.478
Step-by-step explanation:
The diameter of the pin is 0.478 inches as per specification.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators.
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
The hole diameter is specified as 0.500 inches with a tolerance of 0.010 inches.
The maximum pun diameter must be 0.002 inches smaller than the minimum hole diameter.
Diameter: d = 0.500 inch
Tolerance: t = 0.010 inch
Replacing the values:
⇒ dmax = 0.500 - 0.010 - 0.002 - 0.010
Apply the subtraction operation,
⇒ dmax = 0.478 inch
Hence, the diameter of the pin is 0.478 inches as per specification.
Learn more about Arithmetic operations here:
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a tax of 0.19 dollars is imposed on each baga of potato chips that is sold. the tax generates revenue of approx 10,000 dollars and ddecreases the equilibrium wuantyiy of potato chips by 156 bags per day/ the tax creates a deadweight lsos of how many dollars
Answer:
The tax creates a deadweight loss of $29.64 dollars per day.
Step-by-step explanation:
a) A bag of potato chips generates $0.19 per bag
If 156 bags are not sold each day because of the imposed tax, the deadweight loss is calculated as follows:
156 x $0.19 = $29.64 per day
b) A deadweight loss is the inefficiency cost imposed by the tax because it causes decreases the equilibrium quantity of bags of potato chips sold each day by 156. By dislocating the equilibrium and the market forces, the tax makes the economy to suffer overall. This may imply that the rate of the tax was not economically reasonable. Unless a tax is imposed to discourage an activity or a consumption, the rate should not be so high as to create inefficiencies in the allocation of economic resources.
[URGENT] (25 points) Ryan randomly drew a marble out of a bag of marbles, then put it back. He did
this 25 times. Of the 25 times he drew a red marble 6 times. He concluded
that the probability of drawing a red marble was
6/25
Answer:
Unpredictable
Step-by-step explanation:
Cuz if u look at it it is also random and u cant predict a random thing, so its quite simply unpredictable
The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table
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Explain how you can classify shapes, using the distance and slope formula. <—I got this part I just really need an example. Provide examples to support your response 
Answer:
Step-by-step explanation:
Try to use the distance formula to determine whether the sides are congruent. So take every pair of consecutive vertices and apply the distance formula. So you will have which, in any, sides are congruent.
Use the slope formula to determine which sides are parallel or perpendicular or neither of those. If the slopes are equal the sides are parallel, if the product of the slopes is - 1 the sides are perpendicular. In any other case the sides are neither parallel nor perpendicular.
With that and the definitions of the shapes you will be able to classify shapes.
To write a full example would be very long .
An easy one might be this as an example:
Given the points (0,0), (2,0), (2,2) and (0,2), classify the shape.
When you apply the distance formula: you will find 2 for all the sides, so they are all congruent.
When you apply the slope formula you will find two pair of parallel sides, and the sides that intersects are perpendicular.
Therefore... the classification of the shape is a square.
I need answers for 1 , 2, 4
Answer:
(3) x ≥ -3
(4) 2.5 gallons
(4) -12x + 36
Step-by-step explanation:
Hey there!
1)
Well its a solid dot meaning it will be equal to.
So we can cross out 1 and 2.
And it's going to the right meaning x is greater than or equal to -3.
(3) x ≥ -3
2)
Well if each milk container has 1 quart then there is 10 quarts.
And there is 4 quarts in a gallon, meaning there is 2.5 gallons of milk.
(4) 2.5 gallons
4)
16 - 4(3x - 5)
16 - 12x + 20
-12x + 36
(4) -12x + 36
Hope this helps :)
several different positive integers are written on a blackboard. the product of the smallest two of them is 16. the product of the largest 2 of them is 225. what is the sum of the integers?
Answer:
44
Step-by-step explanation:
The integers 2,8,9 and 25 fit to the terms of the problem.
So the smallest two are 2 and 8 =>2*8=16
and 9*25=225
Note that another pair of integers which product is 16 can be 1 and 16.
However it means that both numbers which product is 225 are bigger than 16 - this is not possible so 16*16=256>225
So only numbers 2,8,9 and 25 fit to the terms of the problem.
Note that there is no any integer number between 8 and 9 . So there are four integers in total and these integers are 2,8,9 and 25.
The sum of these integers is 2+8+9+25=44
A card is drawn from a well shuffled deck of 52 cards. What is the probability of drawing an ace or a 9? Round to nearest thousandth
Answer:
.154
Step-by-step explanation:
There are 52 cards
There are 4 aces and 4 9's for a total of 8 cars
P (ace or 9) = number of aces or 9's / total
= 8/52 = 2 /13 =.153846154
To the nearest thousandth
= .154
Answer:
0.154
Step-by-step explanation:
We want to find the probability of drawing an ace or a 9.
P(ace or 9)= aces and 9s / total cards
There are 4 aces and 4 9s in a standard deck of cards. This means there is a total of 8 aces and 9s.
In a standard deck of cards, there is a total of 52 cards.
P(ace or 9)= aces and 9s / total
aces and 9s= 8
total= 52
P(ace or 9)= 8/52
This fraction can be simplified. Both the numerator and denominator can be evenly divided by 4.
P(ace or 9)= (8/4) / (52/4)
P(ace or 9)= 2/13
P(ace or 9)= 0.153846153846154
Round to the nearest thousandth. The 8 in the ten thousandth place tell sus to round the 3 up to a 4.
P(ace or 9) = 0.154
The probability of drawing an ace or 9 is 0.154