Answer:
Riley ran 5 miles (26400 / 5280= 5)
Step-by-step explanation:
5280 times 5 equals 26400.
Answer:
5 miles
Step-by-step explanation:
26400/5280=5
The weights of cockroaches follow a Normal distribution with mean 80 grams and standard deviation 2 grams. Use normal table to answer the question below:
What percent of cockroaches weigh greater than 85 grams?
Answer:
0.621%
Step-by-step explanation:
First of all let's find the z-score which is given by the formula;
z = (x' - μ)/σ
We are given;
Mean; μ = 80 g
Standard deviation; σ = 2 g
Test score; x' = 85 g
Thus;
z = (85 - 80)/2
z = 5/2
z = 2.5
From the z-distribution table attached, at z = 2.5, the probability is:
P(z > 2.5) = 1 - 0.99379 = 0.00621 or 0.621%
What is the distributive property 3(50.15)
Using the distributive property, 3(50.15) can be simplified to 150.45 by multiplying 3 with each term inside the parentheses.
The distributive property is a fundamental concept in mathematics, explains how multiplication distributes over addition or subtraction. It says that you can distribute or apply the multiplication to each term inside the parentheses separately when you multiply a number by a sum or difference enclosed in parentheses.
expression: 3(50.15)
apply the distributive property, which states that a number outside parentheses can be multiplied by each term inside the parentheses.
Multiply 3 by 50.15.
3 × 50.15 = 150.45
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Evaluate -2x 2y, if x = -3 and y = -1.
* 12
* -12
* 18
* -18
Answer: -12
Step-by-step explanation:
If the equation is multiplying all the numbers, the equation would be -2x2y, which is making the new equation is -2(-3)2(-1). Multiply the numbers 6x-2, which is -12
A firm pursuing a strategy based on customization and variety will tend to structure and manage its supply chain to accommodate more _____________ than a firm pursuing a strategy based on low cost and high volume.
a. variation
b. streamlined flow
c. quality
d. capacity
e. productivity
Answer:
[tex]e. \: productivity[/tex]
A company produces very unusual CD's for which the variable cost is $ 20 per CD and the fixed
costs are $ 30000. They will sell the CD's for $ 49 each. Let x be the number of CD's
produced.
Write the total cost C as a function of the number of CD's produced.
C= $
Write the total revenue R as a function of the number of CD's produced.
R= $
Write the total profit P as a function of the number of CD's produced.
P= $
Find the number of CD's which must be produced to break even.
The number of CD's which must be produced to break even is no
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Variable cost = $20
Fixed cost = $30000
selling price = $49
Number of CD's produced = x
Cost (C) as a function of number of CD's produced :
Fixed cost + (variable cost * Number produced)
C = $30000 + ($20 * x)
C = $30000 + 20x
Revenue :
Selling price per CD * number of CDs produced
$49 * x
R = 49x
PROFIT:
REVENUE - COST
$30000 + 20x - 49x
30000 - 29x
Number of CD's which must be produced to break even:
Break even quantity = Fixed costs / (Sales price per unit – Variable cost per unit)
Break even quantity = 30000 / (49 - 20)
= 30000 / 29
= 1034.48
= 1034
Kevin feeds his dog 3/4
pounds of dog food for each meal. Kevin has just bought 24 pounds of dog food. For how many meals will the food last?
Answer:
18 meals
Step-by-step explanation:
3/4 of 24 is 18. That means his food will last for 18 meals.
What’s the slope please be sure
Answer:
no slope
Step-by-step explanation:
when it goes straight down it has no slope. just did this question. good luck!
What is the slope of the line on the graph?
Answer:
y=-2x
Step-by-step explanation:
rise over run. Points to points
you do down 2 to get to another point and you go over 1.
rear makes the slope -2x
1) Alexa Corp acquired several assets from Bonsai Corp. for $4,200,000. Assets acquired included a building, a stamping machine, and a forklift. An appraisal of the assets valued the building at $2,400,000, the press at $1,000,000, and the conveyor belt at $600,000. What is the value that will be assigned to each of these assets?
Answer:
Value assigned for Building = $2,520,000
Value assigned for Press = $1,050,000
Value assigned for Conveyor belt = $630,000
Step-by-step explanation:
Total appraisal value = Building + Press + Conveyor belt
Total appraisal value = 2,400,000 + 1,000,000 + 600,000
Total appraisal value = $4,000,000
Value assigned for Building = (2,400,000/4,000,000)*4,200,000
Value assigned for Building = $2,520,000
Value assigned for Press = (1,000,000/4,000,000)*4,200,000
Value assigned for Press = $1,050,000
Value assigned for Conveyor belt = (600,000/4,000,000)*4,200,000
Value assigned for Conveyor belt = $630,000
Image by nibucunu
All four of the areas in the image above are the same size, but there are different numbers of people living in each
one. Which area has the lowest population density?
A. Area 1
B. Area 2
C. Area 3
D. Area 4
Please select the best answer from the choices provided
Ο Α
B
С
D
Mark this and return
Save and Exit
Next
Submit
The answer is c area 3
Answer
C.
Step-by-step explanation:
Ileana drew a marble at random from a bag containing 4 blue 3 red 2 yellow and 5 green marbles. What is the probability that she picked a marble that was not red?
Answer:
=11/14
Step-by-step explanation:
Step-by-step explanation:
Number of blue marbles n(blue)=4
Number of red marbles n(red)=3
number of yellow marbles n(yellow)= 2
number of green marbles n(green)=5
total number of marbles n(S)=4+3+2+5=14
P(red)=n(red)/n(S)
P(red)=3/14
We have to determine the probability that the card picked is not red which means the card can be blue or yellow or green.
P(not red)=1-P(red)
=1-3/14
=11/14
Answer:
11/14
Step-by-step explanation:
These are all the marbles that are there:
4 blue
3 red
2 yellow
5 green
If you want to figure out the probability of a marble not being red, you can either find the probability that the marble is blue, yellow, or green or you could subtract the probability that the marble is red from 1 (same thing either way)
There are 14 marbles and 11 of them are not red, so the the probability that a marble drawn will not be red is 11/14.
Please someone help its calculus and i need #2! Its finding instantaneous rate of change!
Answer:
[tex]\displaystyle 5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Derivatives
Derivative Notation
Instantons Rate of Change
Step-by-step explanation:
Step 1: Define
Identify
f(x) = 2x² + x - 1
x = 1
Step 2: Find Change
Substitute in variables [Instantaneous Rate of Change]: [tex]\displaystyle \lim_{x \to 1} \frac{f(x) - f(1)}{x - 1}[/tex]Substitute in function: [tex]\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - [2(1)^2 + 1 - 1]}{x - 1}[/tex]Simplify: [tex]\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - 2}{x - 1}[/tex]Combine like terms: [tex]\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 3}{x - 1}[/tex]Factor: [tex]\displaystyle \lim_{x \to 1} \frac{(x - 1)(2x + 3)}{x - 1}[/tex]Simplify: [tex]\displaystyle \lim_{x \to 1} (2x + 3)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle 2(1) + 3[/tex]Simplify: [tex]\displaystyle 5[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
what is a unit rate
Answer:
unit rate is a rate with 1 in the denomination
A tank contains 1000 L of brine (salt water) with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 L/min. The solution is kept throughly mixed and drains from the tank at the same rate. How much salt is in the tank after t minutes
Answer:
[tex]y=15e^{e^{- \frac{t}{100}}}kg[/tex]
Step-by-step explanation:
Let y(t) represent the amount of salt in the tank after t minutes. Therefore:
[tex]\frac{dy}{dt}=rate\ in-rate\ out[/tex]
Pure water is entering at a rate of 10 L/min, therefore rate in = 0
The tank contains 1000 L of brine (salt water) with 15 kg of dissolved salt, and a mixed solution leaving at 10 L/min hence;
[tex]rate\ out = \frac{y(t)\ kg}{1000\ L}*10\ L/min= \frac{y(t)\ kg}{100\ min}\\\\Therefore:\\\\\frac{dy}{dt}=0- \frac{y(t)}{100} \\\\\frac{dy}{dt}=- \frac{y(t)}{100}\\\\\frac{dy}{y}=- \frac{1}{100}dt\\\\\int\limits{\frac{dy}{y}} =\int\limits- \frac{1}{100}dt\\\\lny=- \frac{t}{100}+C\\\\Taking\ exponetial\ of\ both\ sides:\\\\y=e^{- \frac{t}{100}+C}\\\\y=e^C.e^{- \frac{t}{100}}\\\\y=Ae^{- \frac{t}{100}}(A=e^C)\\\\at\ y=15kg, t=0\\\\15=Ae^{e^{- \frac{0}{100}}}\\\\A=15\\\\[/tex]
[tex]y=15e^{e^{- \frac{t}{100}}}kg[/tex]
g About 52% of American adults live in middle-income households. Suppose a sample of 20 American adults is selected. Let X be the number of adults from the sample that live in middle-income households. What is the probability distribution of X
Answer:
P (x= 0) = 0.00384
P (x= 1) = 0.000009133
P (x= 2) = 0.00009399
P (x= 3) = 0.0061
P (x= 4) = 0.00281
P (x= 5) = 0.00975
P (x= 6) = 0.0264
P (x= 7) = 0.05772
P (x= 8) = 0.0202
P (x= 9) = 0.14550
P (x= 10) = 0.1733
P (x= 11) = 0.17077
P (x= 12) = 0.138751
P (x= 13) = 0.0925
P (x= 14) = 0.0501
P (x= 15) = 0.0217
P (x= 16) = 0.00735
P (x= 17) = 0.00187
P (x= 18) = 0.000259
P (x= 19) = 2 0.0000385
P (x= 20) =0.000000208
Step-by-step explanation:
This is a binomila probability distribution as the success and failure are same and number of trials is fixed.
Here p =0.52 and q= 1-0.52= 0.48
n= 20 Now the probability distribution of X = 0,1,2,--------20
Applying the binomial distribution we can find the probability distribution of X taking the different values as
P (x= 0) = 20c0 (0.52)^0 (0.48)^20= 0.00384
P (x= 1) = 20c1 (0.52)^1 (0.48)^19= 0.000009133
P (x= 2) = 20c2 (0.52)^2 (0.48)^18= 0.00009399
P (x= 3) = 20c3 (0.52)^3 (0.48)^17= 0.0061
P (x= 4) = 20c4 (0.52)^4 (0.48)^16= 0.00281
P (x= 5) = 20c5 (0.52)^5 (0.48)^15= 0.00975
P (x= 6) = 20c6 (0.52)^6 (0.48)^14= 0.0264
P (x= 7) = 20c7 (0.52)^7 (0.48)^13= 0.05772
P (x= 8) = 20c8 (0.52)^8 (0.48)^12= 0.0202
P (x= 9) = 20c9 (0.52)^9 (0.48)^11= 0.14550
P (x= 10) = 20c10 (0.52)^10 (0.48)^10= 0.1733
P (x= 11) = 20c11 (0.52)^11 (0.48)^9= 0.17077
P (x= 12) = 20c12 (0.52)^12 (0.48)^8= 0.138751
P (x= 13) = 20c13 (0.52)^13 (0.48)^7= 0.0925
P (x= 14) = 20c14 (0.52)^14 (0.48)^6= 0.0501
P (x= 15) = 20c15 (0.52)^15 (0.48)^5= 0.0217
P (x= 16) = 20c16 (0.52)^16 (0.48)^4= 0.00735
P (x= 17) = 20c17 (0.52)^17 (0.48)^3= 0.00187
P (x= 18) = 20c18 (0.52)^18 (0.48)^2= 0.000259
P (x= 19) = 20c19 (0.52)^19 (0.48)^1= 0.0000385
P (x= 20) = 20c20 (0.52)^20 (0.48)^0= 0.000000208
identify the slope and Y intercept of the line for each equation
a) y=-5x-3/4
b) y=1/4x+5
The recipe calls for 4 cups of broccoli, but Roselyn has only a 2/3 cup measure. How many measuring cups of broccoli should she add?
Answer:
She should add 6 cups.
Answer 6
Step-by-step explanation: 4 divided by 2/3
a manufacturer of college textbook is interested in estimating the strength of the binding produced by a particular binding mine strength can be measured by recording the force required to pull the page from the binding if this.force is measured in pounds how many book should be tested to estimate with 95% confidence to within 0.1 ib the average force required to break the binding assume that is known to be 0.6 lb
Which statement best describes the association between variable X and variable Y?
a.) moderate positive association
b.) perfect negative association
c.) moderate negative association
d.) perfect positive association
Answer:
C.) moderate negative asdocation
this is because its going down (which means negative) and its not in a perfect line
statement best describes the association between variable X and variable Y is c.) moderate negative association
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
We take two points lying on the line representing the best relationship between variables X and Y.
Points are (1, 9) and (2, 8), so the slope will be (y₂ - y₁)/(x₂ -x₁)
Slope = (9- 8)/(1-2) = -1
Since the slope is negative, the Slope of (-1) shows the negative relationship between X and Y which may be represented by Y = (- X), the equation of a line.
thus It is a negative Association for sure.
A perfect negative correlation has a value of -1.0 and indicates that when X increases by z units, Y decreases by exactly z; and vice-versa. In general, -1.0 to -0.70 suggests a strong negative correlation, -0.50 a moderate negative relationship, and -0.30 a weak correlation.
Therefore, the association between variables X and Y can be best described as Option c.) moderate negative association
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Mike drew p pictures. Rick drew 41 fewer pictures than Mike. Choose the expression that shows how many pictures Rick drew.
(A.) p
(B.) 41 + p
(C.) p - 41
(D.) 41 - p
Answer:
It's p - 41.
Step-by-step explanation:
We're trying to find how many pictures Rick drew, which is 41 less than how many Mike drew, p. To find the expression in situations like these, always take how many fewer was drawn from the amount the other person drew, which would be 41 - p. But this would most likely give us a negative answer, which isn't possible. Switch them around and you have p - 41.
How many groups of 7 are
in 49?
Answer:
7
Step-by-step explanation:
49 /7 = 7
Answer:
7:)
Step-by-step explanation:
group 1-ooooooo=7
group2-ooooooo
ooooooo=14
group 3-ooooooo
ooooooo ooooooo=21
group 4-ooooooo ooooooo=28
ooooooo ooooooo
group 5-ooooooo ooooooo
ooooooo ooooooo ooooooo=35
group 6-ooooooo ooooooo ooooooo
ooooooo ooooooo ooooooo=42
group 7-ooooooo ooooooo ooooooo
ooooooo ooooooo ooooooo
ooooooo=49
What is the unit rate if a motorcycle can travel 66 miles with 3 gallons of gas
Answer:
There is no table, but here's a formula;
48 miles multiplied by x amount of gallons
Step-by-step explanation:
What is the slope of the line that passes through the points (0, 7)(0,7) and (8, 7) ?(8,7)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the 2 points:
(y2 - y1) / (x2 - x1)
(7 - 7) / (8 - 0)
0/8
= 0
So, the slope is 0.
The slope is 0.
what is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Given:
(0,7) and (8, 7)
slope = (y2 - y1)/ (x2 -x1)
slope = (7-7) / (8-0)
slope = 0/7
slope= 0
Hence, the slope is 0.
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Find the value of h(45) for the function below.h(x)=1/9(90-x)
Answer:
5
Step-by-step explanation:
90-45 = 45
45 x 1/9 = 5
45 x 1/9 is the same thing as saying 45/9, FYI
Answer:
5
Step-by-step explanation:
sub 45 into x
h(x) = h(45)
h(45) = 1/9(90-45)
= 1/9(45)
= 5
^^
Find the product 0.31x 8
Answer:
0.31 x 8=2.48
(>'-'<)
Which shows a correct way to divide -104 by 4?
Need it ASAP!!!!
Find the distance between the two points rounding to the nearest tenth (if necessary
(-9, -2) and (-3,6)
Answer:
[tex]d = 10[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(-3-(-9))^2+(6-(-2))^2}[/tex]
[tex]d = \sqrt{(-3+9)^2+(6+2)^2}[/tex]
[tex]d = \sqrt{(6)^2+(8)^2}[/tex]
[tex]d = \sqrt{36+64}[/tex]
[tex]d = \sqrt{100}[/tex]
[tex]d = 10[/tex]
Answer:
D=10 is the answer
Step-by-step explanation:
If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 17 feet long, what angle does the ramp make with the ground
Answer:
10.16°
Step-by-step explanation:
To solve for this question, we use Sine rule
Sin θ = Opposite/Hypotenuse
θ =??
Opposite = Height of the truck = 3 feet
Hypotenuse = length of the ramp = 17 feet
Hence
Sin θ = 3/17
Sin θ = 0.1764705882
θ = arcsin(0.1764705882)
θ = 10.16424862°
Approximately
10.16°
The angle the ramp makes with the ground is 10.16°
The angle that the ramp makes with the ground is 10.2 degrees
The set-up will give a right triangle.
Given the following parameters:
Length of the ramp = 17feet (hypotenuse)Height of the truck = 3feet (opposite)To get the angle of elevation, we will use the SOH CAH TOA identity as shown:
Sin theta = opp/hyp
Sin theta = 3/17
theta = arcsin(3/17)
theta = 10.2 degrees
Hence the angle that the ramp makes with the ground is 10.2 degrees
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6=a/4+2 one step equations
Answer:
[tex]a=16[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write equation
[tex]6=\frac{a}{4} +2[/tex]
Step 2: Solve for a
Subtract 2 on both sides: [tex]4=\frac{a}{4}[/tex]Multiply 4 on both sides: [tex]16=a[/tex]Rewrite: [tex]a=16[/tex]Step 3: Check
Plug in a to verify it's a solution.
Substitute: [tex]6=\frac{16}{4} +2[/tex]Divide: [tex]6=4+2[/tex]Add: [tex]6=6[/tex]Solve for x. What is the root? If there is no root, choose none.
Answer:
12
Step-by-step explanation:
It seems like the one that's most likely