Marcus is taking inventory at his pet store. The graph shows the relationship between the number of bags of dog food in the store and the total number of pounds of dog food in those bags.
Answers
The graph is a plot of Total number of pounds of dog food (y-axis) against the number of bags(- axis):
The points on the graph is given by (x,y)
Statement A
The points (150, 3) means 3 bags contain 150 pounds o dog food is false because the proper representation should be (3, 150)
Statement
Related Questions
Which of the following choices can be considered binomial random variables? Choose all answers that apply: A Roll a fair die 5 times and let X = the number of rolls that land showing a "4". B Roll 5 fair dice at once and let Z = the number of dice that land showing an even value (2, 4, or 6). Roll 5 fair dice at once and let Y = the number of dice that land showing a "4"
Answers
The following are binomial random variable,
A)A Roll a fair die 5 times and X = the number of rolls that land showing a "4", is a binomial random variable.
B) Roll 5 fair dice at once and let Z = the number of dice that land showing an even value (2, 4, or 6), is a binomial random variable.
C) Roll 5 fair dice at once and let Y = the number of dice that land showing a "4" , is a binomial random variable.
A random binomial variable should satisfy the following conditions:
1. The number of trials are defined or fixed.
2. Each trial is independent of others.
3. The probability of success is same in all trials.
4. There should be only two outcomes in each trial.
Lets we evaluate the options based on the above conditions:
(A) Rolling fair dice 5 times have 5 trials, each rolling is independent, probability of 4 is 1/6 in all cases and the dice will either land 4 or will not land 4. So, X will have values from 0 to 5, 0 when dice doesn't land 4 even once in 5 rolls and 5 when dice land 4 in all rolls. This variable satisfies the condition to be a random binomial variable. So, X is a random binomial variable.
(B)For rolling 5 dices at once, the number of trials is 1 and fixed and the outcomes are 0 dice with even number to all 5 dices with even number. If the dices are rolled multiple times each trial will be independent of each other and the probability of success will be same for each trial. So the variable Z is a random binomial variable as it satisfies all the conditions.
(C)For rolling 5 dices at once, the number of trials is 1 and fixed and the outcomes are 0 dice land with 4 to all 5 dices land with 4. If the dices are rolled multiple times each trial will be independent of each other and the probability of success will be same for each trial. So the variable Y is a random binomial variable as it satisfies all the conditions.
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Can credit a customers account up to 20% of full amount due. Customers bill is 333.00, I could offer a credit of?
Answers
I could offer a credit of $66.6.
What is percentage?A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.
The given bill of customer = $333.0.
Credit can be given to customer = 20%
Now,I can credit a customers account up to 20% of full amount due
For credit off to be offer,we need to find 20% of $333
⇒ 20% of $333 = 20/100*333
⇒ 20% of $333 = $66.6
Hence, I could offer a credit of $66.6
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The length of a rectangle is four more than triple the width. If the perimeter is 144 inches, find the dimensions.
Answers
The length of a rectangle is 55 inches and the width of the rectangle is 17 inches
Given that The length of a rectangle is four more than triple the width. If the perimeter is 144 inches and asked to find the dimensions of the rectangle
Length of a rectangle = 4 + triple the width
Let's assume the length of a rectangle is "l" and the width is "b"
l= 4 + 3b
perimeter of rectangle =2 ( l +b )
perimeter of rectangle = 2 ( 4 +3b +b)
perimeter of rectangle = 2 ( 4 + 4b )
Given that perimeter of rectangle = 144 inches
144 inches = 2 ( 4 + 4b )
72 inches = 4 + 4b
b= 17 inches
l= 4 + 3b
l=4+51
l=55 inches
Therefore the dimensions of rectangle are 55 inches and 17 inches
Hence,The length of a rectangle is 55 inches and the width of the rectangle is 17 inches.
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What is the equation of the line that is parallel to the line defined by the equation y = 3x−7 and goes through the point (4, 2)?
Answers
Answer:
\(y-2=3(x-4)\)
Step-by-step explanation:
Pre-SolvingWe are given a line contains the point (4, 2).
We also know that the line is parallel to y= 3x - 7.
We want to write the equation of this line.
Parallel lines have the same slopes.
First, let's find the slope of y = 3x - 7.
3 is in the place of where m (the slope) is, so that means it is the slope of that line.
It is also the slope of the line whose equation we want to write.
The equation of the line can be written in three ways:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. a and b cannot be 0, and a is usually non-negative as well. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point.All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.
SolvingSubstitute 3 as m in \(y-y_1=m(x-x_1)\).
\(y-y_1=3(x-x_1)\)
Now, substitute 4 as \(x_1\) and 2 as \(y_1\).
\(y-2=3(x-4)\)
Topic: parallel and perpendicular lines
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24-6/3*2+1 = how is this calculated
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I will need to show picture because its to much to right down.
Answers
The third row has two of the boxes shaded. The total number of boxes in the row is 5
The fraction shaded in the third row = number of shaded box/total boxes
The fraction shaded in the third row = 2/5
In the first column, one box is shaded. The total boxes in the column is 3
The fraction shaded in the 1st column = number of shaded box/total boxes
The fraction shaded in the 1st column = 1/3
The multiplication fraction that matches this model:
The fraction shaded in the third row × The fraction shaded in the 1st column
\(\begin{gathered} \text{The model: }\frac{2}{5}\times\frac{1}{3}=\frac{2}{15} \\ \frac{1}{3}\times\frac{2}{5}=\frac{2}{15}\text{ (option D)} \end{gathered}\)If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.
a. Poisson
b. exponential
c. binomial
d. hypergeometric
Answers
To calculate the probability of arrival of ten customer in one hour at a service station then use of option a. Poisson probability distribution is more applicable.
Poisson probability distribution represents the discrete probability of any event.This represents the occurring of the independent event in a fixed interval of time.It is also called constant mean rate.Here arrival of ten customer in fixed time interval of one hour we have to calculate.It implies that the Poisson probability distribution is the best way to calculate the given situation.Therefore, the required probability for the given situation is Poisson probability distribution .
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Find the surface area of the prism. 1 ft 5 ft 10 ft The surface area is square feet.
Answers
Answer:
5ft sqare
Step-by-step explanation:
area = length × wedth
lol suisitctftf ysyajwnw yakahad gwhnqga
Answers
The area of a square is 36 square inches. What is the perimeter of half the square?
Answers
The formula for the perimeter of a square is P = 4s, where s is the length of one of the four (4) congruent sides of the square.
The formula for the area of a square is A = s², and we're given that the area of a square, whose perimeter we're trying to find, is 36 sq. units; therefore, we have:
A = s²
36 sq. units = s²
√(36 sq. units) = √s²
6 units = s (Note: We used the positive square root (6) rather than the negative square root (-6) since you physically can't have a negative length!)
Therefore, ...
P = 4s
P = 4(6 units)
P = 24 units is the perimeter of a square whose area is 36 square units
what is the median of numbers 20,35,28,15,22,36,26
Answers
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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Write an explicit formula for the nth term or the sequence 8,-24, 72
Answers
Answer:
\(T_n =-\frac{8}{3} (-3)^{n}\)
Step-by-step explanation:
Given
\(Sequence: 8, -24, 72\)
Required
Determine the n term
The above sequence is geometric. So, we calculate the common ratio first:
\(r = \frac{T_2}{T_1}\)
\(r = \frac{-24}{8}\)
\(r = -3\)
The equation is then calculated using:
\(T_n = ar^{n-1}\)
Where
\(a = T_1 = 8\)
and
\(r = -3\)
The equation becomes:
\(T_n =8 * (-3)^{n-1}\)
Apply law of indices:
\(T_n =8 * (-3)^{n} * (-3)^{-1}\)
\(T_n =8 * (-3)^{n} * \frac{1}{-3}\)
\(T_n =-8 * (-3)^{n} * \frac{1}{3}\)
\(T_n =-\frac{8}{3} * (-3)^{n}\)
\(T_n =-\frac{8}{3} (-3)^{n}\)
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answers
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
The Stock Market Nadia is a stockbroker. She earns 11% commission each week. Last week, she
sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that
same amount each week, how much did she make in commission in 2011?
Last week, she made $
in commission.
Answers
Answer:
she made $583 commission last week
she made $30313
Step-by-step explanation:
5300 * .11=583
583 * 52 weeks =30316
Determine the cubic function that is obtained from the parent function y = x^3 under a vertical stretch by a factor of 5, a reflection across the x-axis, a vertical translation 1 unit down, and a horizontal translation 7 units right .
Answers
Answer:
y = -5(x - 7)^3 - 1
Step-by-step explanation:
You kind of just plug in the numbers.
a vertical stretch by a factor of 5: y = 5x^3
a reflection across the x-axis: y = -5x^3
a vertical translation 1 unit down: -5x^3 - 1
a horizontal translation 7 units right: -5(x - 7)^3 -1
Using translation concepts, it is found that the cubic function is given by:
\(y = -5(x - 7)^3 - 1\)
The parent function is given by:
\(y = x^3\)
A vertical stretch by a factor of 5 is the same as multiplying by 5, hence:
\(y = 5x^3\)
A reflection across the x-axis is the same as multiplying by -1, hence:
\(y = -5x^3\)
A vertical translation 1 unit down is the same as subtracting 1, hence:
\(y = -5x^3 - 1\)
A horizontal translation 7 units right means that \(x \rightarrow x - 7\), hence:
\(y = -5(x - 7)^3 - 1\)
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Trina is cooking her favorite dish. She started with 51/2fluid ounces of vegetable oil. While she cooks, she uses a teaspoon
of vegetable oil, which is 1/6 of a fluid Ounce, x times. After she made the dish, Trina had at least 3 1/3 fluid Ounces of
vegetable oil left. Which statement best describes the number of times she used a teaspoon of vegetable oil?
Answers
Answer:
trina used a teaspoon of vegetable oil at most 13 times
Step-by-step explanation:
hope this helps :D
Corey and Braden spent $4.75 on supplies for their hot chocolate shop. On the day of their hot chocolate sale, they sold 8 small cups of hot chocolate for $1.75 each, 13 large cups of hot chocolate at $2.00 each, and 12 mini candy canes for $0.25 each. Corey and Braden split their profit in three – a third for Corey, a third for Braden, and a third for Corey and Braden to invest in their hot chocolate shop.
How much money did they make on all three items them sold before any deductions?
Answers
Answer:
$43
Step-by-step explanation:
Multiply 1.75 and 8 which equals 14
2.00 times 13 is 26
.25 times 12 is 3
Add 'em all up and you get $43(before dividing them up in thirds)
If you divide them by 3 each third is 14.33 repeating.
Your school club is selling hotdogs at a basketball game. The supplies cost $120. You charge $2.50 for each hotdog. Write a function you can use for finding the profit y for selling x number of hotdogs.
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you lose 120 dollars on supplies, and every hotdog you sell you gain 2.50
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions to their limit values.
Answers
Answer:
see photo
Step-by-step explanation:
took the test
A plane traveling horizontally at 100 m/s over flat ground at an elevation of 4000 meters must drop an emergency packet on a target on the ground. the trajectory of the packet is given by x=100t, y=-4.9t^2+4000, for t≥0, where the origin is the point on the ground beneath the plane at the moment of release.
A: how many horizontal meters(to the nearest tenth of a meter) from the target should the packet be released in order to hit the target?
B: how far (to the nearest tenth of a meter) does the package travel from the moment of release until the time it hits the target?
Answers
Answer:
A. 2857.1 meters
B. 4915.6 meters
Step-by-step explanation:
A.
First we need to find when the packet will hit the surface level, and we do this by finding the value of t when y = 0:
0 = -4.9t^2 + 4000
4.9t^2 = 4000
t^2 = 816.33
t = 28.571 s
Then, we use this time in the horizontal distance equation to find the value of x:
x = 100 * 28.571 = 2857.1 meters
B.
To find the distance between the inicial and final location of the package, we can use the Pythagoras' theorem with the horizontal and vertical distance traveled:
distance^2 = x^2 + y^2
Using x = 2857.1 and y = 4000, we have:
distance^2 = 2857.1^2 + 4000^2
distance^2 = 24163020.41
distance = 4915.6 meters
Question 2
If a = -3,6= 4 and c= -5, then by how much is the product abc greater than the sum a + b + c?
Answers
a = -3, b = 4, c = -5
Sum a+b+c= -3 + 4 -5 = -4
Product abc = (-3)(4)(-5) = 60
60-(-4) = 64
a trader borrowed 2500$ at a sumple interest at the end of 8 months he paid back $2500 find the rate
Answers
Answer:
8%
Step-by-step explanation:
Rate = 100×Interest ÷ Principal× Time
100× 2500/ 2500 × 8 = 800
800/100 = 8%
I hope this helps
X is a Gaussian random variable with mean 3 and standard deviation 2. Find (i) P[X2>2X] (8 pts), and (ii) expected value of [2X2-3X-5].
Answers
(i) Complete the square:
P[X ² > 2 X] = P[X ² - 2 X > 0]
P[X ² > 2 X] = P[X ² - 2 X + 1 > 1]
P[X ² > 2 X] = P[(X - 1)² > 1]
P[X ² > 2 X] = P[|X - 1| > 1]
P[X ² > 2 X] = P[X - 1 > 1] + P[-(X - 1) > 1]
P[X ² > 2 X] = P[X > 2] + P[X < 0]
P[X ² > 2 X] ≈ 0.7583
(ii) By definition of expectation, we have
E[2 X ² - 3 X - 5] = E[2 X ²] + E[-3 X] + E[-5]
E[2 X ² - 3 X - 5] = 2 E[X ²] - 3 E[X] - 5
Recall the definition of variance,
V[X] = E[(X - E[X])²] = E[X ²] - E[X]²
and that variance is the square of the standard deviation. So we have
E[2 X ² - 3 X - 5] = 2 (V[X] + E[X]²) - 3 E[X] - 5
E[2 X ² - 3 X - 5] = 2 (2² + 3²) - 3² - 5
E[2 X ² - 3 X - 5] = 12
Select all lengths that are equal to 3 yards 16 inches.
Answers
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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I need help with this please
Answers
there are 19 pieces of candy in the candy jar Mrs Breen lost her mind and started eating all these mindlessly she realize she had consumed eight pieces of candy approximately.what percent of candy does she eat??
Answers
Plz help meeeeeeeee
Answers
Answer:
x^2 + 14x + 49
Step-by-step explanation:
The current expression is a binomial because it has two terms (x and a 7).
To make it a trinomial, we multiply x + 7 by itself (because it is getting squared in the expression).
(x + 7)^2 can be written as (x + 7)(x + 7).
To simplify that out, we use the method FOIL. Foil essentially means you multiply the FIRST two values in the parenthesis, and then the OUTSIDE values of the parenthesis and then the INSIDE values of the parenthesis, finally multiplying the LAST values in the parenthesis. This is how it looks:
(x * x) + (7 * x) + (7 * x) + (7 * 7).
Simplifying, we get x^2 + 14x + 49, which has three terms, thus making it a trinomial.
Hope this helps! :)
Randy assembles bookcases as a part-time job. He is responsible for assembling two different sizes of bookcases.
The graph shows the number of screws required to assemble x bookcases for each of the two sizes of bookcases.
What is true when you compare the two graphs?
The slope of the line representing the number of screws required to assemble x of Bookcase A is greater than the slope of the line representing the number of screws required to assemble x of Bookcase B.
The line representing the number of screws required to assemble x of Bookcase B is steeper than the line representing the number of screws required to assemble x of Bookcase A because there are more screws used in each Bookcase B than in each Bookcase A.
More screws are required to assemble one Bookcase A than are required to assemble one Bookcase B.
Randy assembles bookcases as a part-time job. He is responsible for assembling two different sizes of bookcases.
The graph shows the number of screws required to assemble x bookcases for each of the two sizes of bookcases.
What is true when you compare the two graphs?
The slope of the line representing the number of screws required to assemble x of Bookcase A is greater than the slope of the line representing the number of screws required to assemble x of Bookcase B.
The line representing the number of screws required to assemble x of Bookcase B is steeper than the line representing the number of screws required to assemble x of Bookcase A because there are more screws used in each Bookcase B than in each Bookcase A.
More screws are required to assemble one Bookcase A than are required to assemble one Bookcase B.
Randy assembles bookcases as a part-time job. He is responsible for assembling two different sizes of bookcases.
The graph shows the number of screws required to assemble x bookcases for each of the two sizes of bookcases.
What is true when you compare the two graphs?
The slope of the line representing the number of screws required to assemble x of Bookcase A is greater than the slope of the line representing the number of screws required to assemble x of Bookcase B.
The line representing the number of screws required to assemble x of Bookcase B is steeper than the line representing the number of screws required to assemble x of Bookcase A because there are more screws used in each Bookcase B than in each Bookcase A.
More screws are required to assemble one Bookcase A than are required to assemble one Bookcase B.
Randy assembles bookcases as a part-time job. He is responsible for assembling two different sizes of bookcases.
The graph shows the number of screws required to assemble x bookcases for each of the two sizes of bookcases.
What is true when you compare the two graphs?
The slope of the line representing the number of screws required to assemble x of Bookcase A is greater than the slope of the line representing the number of screws required to assemble x of Bookcase B.
The line representing the number of screws required to assemble x of Bookcase B is steeper than the line representing the number of screws required to assemble x of Bookcase A because there are more screws used in each Bookcase B than in each Bookcase A.
More screws are required to assemble one Bookcase A than are required to assemble one Bookcase B.
I don't know.
Answers
Answer: The Answer to this is
The line representing the number of screws required to assemble x of Bookcase B is steeper than the line representing the number of screws required to assemble x of Bookcase A because there are more screws used in each Bookcase B than in each Bookcase A.
Step-by-step explanation:
This is a thing I wish other people should do so here's the rest of the three answers. the answer for −3.1□−2.4 is <. The answer for −3/5□−2/3 is > , and the answer for this number 4 is The line representing Bicyclist A is steeper than the line representing Bicyclist B, therefore Bicyclist B is moving at a slower rate.I hope this helps.Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Find the axis of symmetry:
Picture is below.
Answers
Answer:
x = -3
Step-by-step explanation:
Axis of symmetry:Axis of symmetry is the vertical line that divides the parabola into two equal halves and it passes through the vertex of the parabola.
From the graph, Vertex (-3, 4)
Axis of symmetry: x = -3