The probability that the opening price of the stock is less than 40 is approximately 0.5588 or 55.88%.
The opening price of the stock is modeled as a continuous random variable that is uniformly distributed on the interval [35 3/4, 44 1/4].
The probability that the opening price is less than 40 can be found by calculating the area under the probability density function of the uniform distribution between 35 3/4 and 40.
The probability density function of a uniform distribution on the interval [a, b] is given by:
f(x) = 1/(b-a) for a <= x <= b
f(x) = 0 otherwise
In this case, a = 35 3/4 and b = 44 1/4. Therefore, the probability density function of the opening price is:
f(x) = 1/(44 1/4 - 35 3/4) = 1/8.5 = 0.1176 for 35 3/4 <= x <= 44 1/4
f(x) = 0 otherwise
To find the probability that the opening price is less than 40, we need to integrate the probability density function from 35 3/4 to 40:
P(X < 40) = ∫[35 3/4, 40] f(x) dx = ∫[35 3/4, 40] (1/8.5) dx
= [(1/8.5) * x] from 35 3/4 to 40
= (1/8.5) * (40 - 35 3/4)
= 0.5588
Therefore, the probability that the opening price of the stock is less than 40 is approximately 0.5588 or 55.88%.
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Rob sells electronics and earns $625 per week, plus 12% of his sales. Last week, he sold $3250 worth of electronics. What was his total earnings for last week?
Answer:
$1,015
Step-by-step explanation:
Given that:
Weekly earning = $625
Commission = 12% of sales
sales made last week = $3250
Last week earning = weekly earning + commision on sale
Commission on sale = 12% of sales
Commission on sale = (0.12 * 3250) = $390
Last week earning = weekly earning + commision on sale
Last week earning = $625 + $390 = $1,015
A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Answer:
The watered area is approximately 3783 square feet.
Step-by-step explanation:
The area that is watered due to the rotation of the spankler is a circular section area (\(A\)), whose formula is:
\(A = \frac{\theta }{2}\times \frac{1}{360^{\circ}}\times 2\pi \times d^{2}\)
Where:
\(d\) - Water distance, measured in feet.
\(\theta\) - Rotation angle, measured in sexagesimal degrees.
Given that \(d = 85\,ft\) and \(\theta = 60^{\circ}\), the watered area is:
\(A = \frac{60^{\circ}}{2} \times \frac{1}{360^{\circ}}\times 2\pi \times (85\,ft)^{2}\)
\(A \approx 3783\,ft^{2}\)
The watered area is approximately 3783 square feet.
Answer:176
Step-by-step explanation:
6 times 29.33333333333333
Write an equation in slope-intercept form of the line shown.
Answer:
Step-by-step explanation:
y2-y1/x2-x1
1+3
3-1
your slope is 4/2 or 2. keep going down to find what y is when x is 0, which happens to be -5
so now you have a slope and a y intercept you can solve like y=mx+b where m is your slope and B is your y intercept
y=2x-5 is your answer
If a negative relation exists between two variables, then low scores on one variable will be associated with _____ scores on the other variable.
If a negative relation exists between two variables, low scores on one variable will be associated with high scores on the other variable.
In a negative relationship between two variables, a decrease in one variable is accompanied by an increase in the other variable. This means that as scores on one variable decrease (i.e., low scores), the scores on the other variable tend to increase (i.e., high scores). The negative relationship implies an inverse pattern where the variables move in opposite directions.
The exact nature and strength of the negative relationship can vary, but the general trend is that low scores on one variable correspond to high scores on the other variable. This negative association provides insights into the behavior and interactions between the variables being examined.
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assume h : r → r is continuous on r and let k = {x : h(x)=0}. show that k is a closed set. complement
As the complement of K, K', is an open set, it follows that K is a closed set.
To show that K is a closed set, where K = {x : h(x) = 0} and h : R → R is a continuous function, we can prove that the complement of K is an open set.
Define the complement of K.
Let K' be the complement of K, so K' = {x : h(x) ≠ 0}.
Show that K' is an open set.
To show that K' is an open set, we need to prove that for every point x in K', there exists an open interval (a, b) containing x such that (a, b) is a subset of K'.
Use the continuity of h.
Take any point x in K'. Since h(x) ≠ 0, there exists a small interval (a, b) around x such that h(x) remains non-zero in the interval. This is because h is continuous, and a continuous function preserves the sign of non-zero values within some small interval.
Establish the subset relationship.
We have established that there is an interval (a, b) around x such that h(x) ≠ 0 for all x in (a, b). This means that (a, b) is a subset of K', as K' consists of all x with h(x) ≠ 0.
Conclude that K' is an open set.
Since we have shown that for every point x in K', there exists an open interval (a, b) containing x such that (a, b) is a subset of K', we can conclude that K' is an open set.
Conclude that K is a closed set.
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what 6666666666+999999999999999+676767676=
Answer:
1.00000734E15
Step-by-step explanation:
Answer:
1.000001343 x 10^15
Step-by-step explanation:
Please gimme brainliest
Use traditional division to solve 6432 ÷ 24.
Answer:
(not my answer but) its 268
Step-by-step explanation:
A remote controlled car travels 8 feet in 2 seconds Label the other tick marks on the double number line with equivalent rates for the constant speed of the car
The car travels 4 feet in 1 second, 16 feet in 4 seconds, 24 feet in 6 seconds, 32 feet in 8 seconds.
Describe Distance?Distance is a measure of the amount of space between two objects or points. It is the length of the shortest path between the two points, and it is typically measured in units such as meters, kilometers, miles, or feet.
In mathematics, distance is often calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The car travels 4 feet in 1 second, which is equivalent to a rate of 4 feet per second.
The car also travels 16 feet in 4 seconds, which is also equivalent to a rate of 4 feet per second.
Similarly, the car travels 24 feet in 6 seconds, 32 feet in 8 seconds, and so on, all at a constant rate of 4 feet per second.
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Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit
Answer:
It's probably B
Step-by-step explanation:
How are the absolute value of an imaginary number, the magnitude of a force, and the distance between two points related to one another?
Step-by-step explanation:
these are positive real numbers representing a size, which can only be positive.
direction is irrelevant.
the absolute value of an imaginary number is the distance of that number from the origin on the imaginary number plane. it does not matter in what direction.
the magnitude of a force is just the power involved, it does not say what direction.
the distance between 2 points - that is the same case as with the absolute value of the imaginary number. a distance is always positive independently of the direction.
When Mark was looking at his monthly utility payments, he noticed that one payment was significantly lower than all the others. Which of the following would be most affected by Mark's observation? The median, average, highest, most frequent monthly payment
Answer:
The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.
Step-by-step explanation:
Graph the line given the point (4, 3) and the slope m = − 1/3
The line passes through the point (4, 3)
The line has a slope of m=-1/3
The equation of the line can be written in the form
\(y=mx+c\)Since the slope is -1/3
Then the equation becomes
\(y=-\frac{1}{3}x+c\)Since the line passes through the point (4, 3)
Substitute x = 4, y= 3 into the equation
\(3=-\frac{1}{3}(4)+c\)Simplify the equation and solve for c
\(\begin{gathered} 9=-4+3c \\ 9+4=3c \\ 13=3c \\ c=\frac{13}{3} \end{gathered}\)Hence, the equation becomes
\(y=-\frac{1}{3}x+\frac{13}{3}\)Using an online graphing calculator.
The graph of the line is shown
Aaron's dad has a pickup truck and his mom has an SUV. Last week, his dad traveled 84 miles in the pickup truck on 4 gallons of gas. His mom traveled 72 miles in the SUV on 3 gallons of gas. How many more miles per gallon did the SUV get than the truck?
Write your answer as a decimal or a whole number.
Answer:
To find out how many miles per gallon the truck got, we can divide the number of miles it traveled by the number of gallons of gas it used: 84 miles / 4 gallons = <<84/4=21>>21 miles/gallon.
To find out how many miles per gallon the SUV got, we can divide the number of miles it traveled by the number of gallons of gas it used: 72 miles / 3 gallons = <<72/3=24>>24 miles/gallon.
To find out how many more miles per gallon the SUV got than the truck, we can subtract the number of miles per gallon the truck got from the number of miles per gallon the SUV got: 24 miles/gallon - 21 miles/gallon = <<24-21=3>>3 miles/gallon.
The SUV got 3 more miles per gallon than the truck.
Step-by-step explanation:
Answer:The SUV got 3 more miles per gallon than the truck.
Step-by-step explanation:
Salvador‘s class has collected 88 cans in a food drive they plan to sort the cans into X bags with an equal number of cans in each bag. write an expression to show how many cans there will be in each bag
The logarithm of a number raised to a power is the same as the ___ times the logarithm of the number. So log (4) = 6.The logarithm of a quotient of two numbers is the same as the difference ____ of the logarithms of these numbers. So log2 ) = log2(4) - 8 The logarithm of a product of two numbers is the same as the sum ____ of the logarithms of these numbers. So log2(4.8) = log (4) + 3
The logarithm of a number raised to a power is the product of the power. The logarithm of a quotient of two numbers is the difference of the logarithms. The logarithm of a product of two numbers is the sum.
In the given statements, logarithms are used to express relationships between exponentiation, division, and multiplication.
For the first statement, log(4) = 6 implies that 4 raised to the power of 6 is equal to 4. This demonstrates the property that the logarithm of a number raised to a power is equivalent to the power multiplied by the logarithm of the number.
In the second statement, log(2) = log(4) - 8 indicates that the logarithm of 2 is equal to the difference between the logarithms of 4 and 8. This illustrates the property that the logarithm of a quotient of two numbers is equal to the difference of their logarithms.
Lastly, in the third statement, log(4.8) = log(4) + 3 shows that the logarithm of the product 4.8 is equal to the sum of the logarithms of 4 and 3. This property signifies that the logarithm of a product of two numbers is equal to the sum of their logarithms.
These properties of logarithms are fundamental in simplifying calculations involving exponentiation, division, and multiplication.
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The Volume of a Rectangular prism is V=2x³ 3x² - 11x + 6. It has a height of x-3 and a length of x + 2. What is the width of the prism?
Answer:
The width of the prism is 2x - 1.
Hope this helps!
Step-by-step explanation:
( there is no addition or subtraction sign between \(2x^{3}\) and \(3x^{2}\) )
The volume of a rectangular prism is Length*Width*Higth.
( 2x - 1 )*( x + 2 ) = \(( 2x^{2} +4x-x-2) = (2x^{2} +3x - 2)\)
\((2x^{2} +3x-2)*(x-3 )\) = \((2x^{3} -6x^{2} +3x^{2} -9x-2x+6 ) = (2x^{3} -3x^{2} -11x+6)\)
Which is the equation, so the width of the prism is 2x - 1.
If Joyce ran around the track 12 times, how many miles did she run? (There are about 1600 meters in one mile)
Answer:
there are 400 meters in a track
400 times 12 = 4800
4800 divided by 1600 =3
Joyce ran 3 miles
Step-by-step explanation:
what is negative 81 plus 97
Answer:
16
Step-by-step explanation:
If x=2, 10 + 3(12 ÷ (3(2))= ?
Smplifying the expression gives a value equal to 16
What is BODMAS?BODMAS is a mathematical acronym that stands for;
BracketOrderDivisionMultiplicationAdditionSubtractionGiven the expression;
10 + 3(12 ÷ (3(2))
Expand the bracket
10 + 3( 12÷ 6)
10 + 3( 12/6)
Divide the numbers in the bracket
10 + 3(2)
10 + 6
Add the values
= 16
Thus, simplifying the expression gives a value equal to 16
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The most common purpose for Pearson correlational is to examine
For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.
The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.
It measures the strength and direction of the relationship between two variables.
Ranging from -1 perfect negative correlation to 1 perfect positive correlation.
And with 0 indicating no correlation.
It is commonly used in research to examine the association between two variables.
Such as the relationship between height and weight, or between income and education level.
Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.
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The above question is incomplete, the complete question is:
The most common purpose for a Pearson correlation is to examine,
a. The relationship between 2 variables
b. Relationships among groups
c. Differences between variables
d. Differences between two or more groups
ere is the region of integration of the integral . rewrite the integral as an equivalent integral in the following orders. a. dy dz dx b. dy dx dz c. dx dy dz d. dx dz dy e. dz dx dy
The integral as an equivalent integral are as follows.
a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx
b) ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz
c) ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz
e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy
What is an integral ?
Mathematicians define an integral as either a number equal to the area under the graph of a function for a certain interval or as a new function whose derivative is the original function (indefinite integral).
We write the equivalent integrals for given integral,
we get:
a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx
b) ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz
c) ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz
e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy
We changed places of integration, and changed boundaries for certain integrals.
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question:
Here is the region of integration of the integral Integral from negative 6 to 6 Integral from x squared to 36 Integral from 0 to 36 minus y dz dy dx. Rewrite the integral as an equivalent integral in the following orders. a. dy dz dx by. dy dx dz c. dx dy dz d. dx dz dy e. dz dx dy
The Bay announced it would open a 9000-plus square metre freestanding store in the new West Grand Promenade. This would be the largest store on the promenade, with other smaller stores selling food, tires, and shoes. How else can this particular Bay store be described
This Bay store can also be described as a big box retailer store.
Big Box Retailer
A big box retailer is a physically enormous retail store that is typically a component of a chain of stores (also known as a hyper store, supercenter, superstore, or megastore). By extension, the phrase, big box retailer can also refer to the business that runs the store.
The Bay Store as a Big Box
There are numerous retail chains that only operate in Canada, aside from the large American big box retailer stores like Walmart Canada and the formerly-existent Target Canada. These include places like Hudson's Bay by Home Outfitters, Loblaws by Real Canadian Superstore, Rona, Winners by HomeSense, Canadian Tire by Mark's & Sport Chek, Shoppers Drug Mart, Chapters by Indigo Books and Music, Sobeys, and several others.
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PLSS I NEED HELP boys and girls lil like Frl
Answer:
A
Step-by-step explanation:
In A, the number of bags that had more than 19 skittles is 7 and the number of bags that had less than 19 skittles is 16, so A is true.
In B, the median package contained 18 candies.
In C, 5 bags contained 18 candies, while there were 8 bags in total for the 17 and 20 bags.
In D, the range is the highest value minus the lowest, so it's 22-12=10.
How can I assess the accuracy of my line of best fit?
Step-by-step explanation:
A line of best fit can be roughly determined using an eyeball method by drawing a straight line on a scatter plot so that the number of points above the line and below the line is about equal (and the line passes through as many points as possible).
-(3z+4)=6z-3(3z+2) how do you determine whether or not the answer is no solution or identity?
The equation on solving by factoring method yields no solution.
In this question,
A no solution equation is also known as contradiction. This type of equation is never true, no matter what we replace the variable with. There is no value that will ever satisfy this type of equation.
The equation is -(3z+4)=6z-3(3z+2)
Solving the equation by factoring gives,
⇒ -(3z+4) = 6z-3(3z+2)
By distributive property,
⇒ -3z - 4 = 6z - 3(3z) - 3(2)
⇒ -3z - 4 = 6z - 9z - 6
⇒ -3z - 4 = -3z - 6
On rearranging the equation,
⇒ -3z + 3z = -6 + 4
⇒ 0 = -2
Here LHS is not equal to RHS. Thus the equation on solving by factoring method yields no solution.
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plz help pllzz 35 points
Answer:
$18 an HOUR
Step-by-step explanation:
Noah earned $232.70 working for 13 hours.
We are trying to find each hour,
We can make this into a FRACTION.
232.70/13 = 1/x
Multiply across,
13x=232.70
232.70/13=17.9
We can round this to $18 :D
What is the surface area?
5 ft
4 ft
5 ft
8 ft
6 ft
square feet
The surface area of the triangular prism is 152 sq, ft.
What is triangular prism?A triangular prism is a three-dimensional (3D) object having two identical triangle-shaped faces joined by three rectangular faces. The bases are the triangle faces, while the lateral faces are the rectangular faces. The top and bottom (faces) of the prism are other names for the bases.
The surface area of the triangular prism is given as:
SA = bh + (b1 + b2 + b3)l
Here, b = 6, h = 4, b1 = b2 = 5, b3 = 6 and l = 8.
Substituting the values we have:
SA = (6)(4) + (5 + 5 + 6) (8)
SA = 24 + (16)(8)
SA = 152 sq. ft.
Hence, the surface area of the triangular prism is 152 sq, ft.
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The best response for individuals who handle biohazards who have an existing cut or open wound on their hands is?
The best response for a person handling biohazards with an open wound on their hands is to not work with biohazards until the cut is healed or cleared by a healthcare professional to work with the use of waterproof bandages and double gloves.
When should a person with a wound handle biohazards?Biohazards are extremely dangerous because they can get into the human body and cause a lot of damage.
This is why a person with an open would or existing cut should not handle a biohazard until they are cleared to to so by a trained healthcare professional.
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What is prime notation?
Answer:
A prime notation is the new image after a figure is moved. For each time a figure is fixed to a new spot, it gets another notation.
Step-by-step explanation:
Prime notations are represented like this.
Not moved ACBD, Moved A'B'C'D', Moved again, A''B''C''D'', and so forth.
an ostrich farmer wants to enclose a rectangular area and then divide it into six pens with fencing parallel to one side of the rectangle (see the figure below). he has 660 feet of fencing available to complete the job. what is the largest possible total area of the six pens?
The largest possible total area of the six pens is 60000 square feet, achieved by making a rectangular enclosure with dimensions 200 feet by 130 feet, and then dividing it into six pens with fencing parallel to the 200-foot side.
To maximize the total area of the six pens, the rectangular enclosure should be as large as possible. Let the length of the enclosure be x, and let the width be y. Then, the amount of fencing needed for the enclosure is 2x + 3y, since there are two lengths and three widths.
We also know that the total amount of fencing available is 660 feet, so 2x + 3y = 660. Solving for y, we get y = (660 - 2x)/3.
The total area of the six pens is given by A = 6xy. Substituting y into this equation, we get A = 2x(660 - 2x)/3. To maximize A, we need to find the value of x that maximizes this expression.
Taking the derivative of A with respect to x and setting it equal to zero, we get -4x/3 + 220 = 0, or x = 165. Substituting x = 165 into our equation for y, we get y = 110.
Therefore, the dimensions of the enclosure are 165 feet by 110 feet, and the total area of the six pens is 6(165)(110)/2 = 60000 square feet.
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