Answer: When the number of classes is 1 or 2, fishing is less expensive.
When the number of classes is 3 or 4, canoeing is less expensive.
Step-by-step explanation:
Two fishing classes are less than two canoeing classes; three or four canoeing classes are than three or four fishing classes.
The driving time for an individual from his home to his work is uniformly distributed between 300 to 480 seconds.
A. Determine the probability density function.
B. Compute the probability that the driving time will be less than or equal to 435 seconds.
C. Determine the expected driving time.
D. Compute the variance.
E. Compute the standard deviation.
The probability density function is P(x) = 0 for x < 300 or x >480.
A probability density function, also known as the density of a continuous random variable, is a function whose value can be interpreted as providing a relative likelihood that the value of the random variable would be close to that sample in the sample space at any given sample in the sample space.
A. the probability density function will be 1/(480-300) = 1/180 for 300=x=480
thus, P(x) = 0 for x < 300 or x >480
B. the probability that the driving time will be less than or equal to 435 seconds is given by,
P(x= 435) = (1/180)(435-300) = 135/180 = 0.75.
C. the expected driving time will be the mean of intervals,
(300 + 480)/2 = 390
D. variance will be computed as (1/12)(480-300)² = 2700
E. standard deviation is calculated as √2700 = 51.96
know more about standard deviation here: https://brainly.com/question/16555520
#SPJ4
HELP NOW!!! BRAINLIEST + 100 POINTS!!
y = 3.12 + 61.02s
slope = 61.02
y intercept = 3.12
y intercept occurs when x = 0
correct option is the fourth option
Answer:
?
Step-by-step explanation:
If 21 less than 11 times a number results in 7 times a number decreased by 29, what is the number?.
The number is -2. By using the concept of Linear Equation we get the number -2 as Answer of this question.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.
Let the number be ‘x’
So According to the Question,
The number that is 11 times less than 21 which results in seven times of the number decreases by 29 can be written in the numerical form as
11x – 21 = 7x- 29
11x – 7x = -29+21
4x = -8
x = -8/4
x = -2
So that’s how we got the value of the x = -2
To know more about Linear Equation, click here :
https://brainly.com/question/2030026
#SPJ4
The oranges at the grocery store went from $0.75/ib to $ 0.90/ib what is the percent increase in the cost of oranges
The percentage increase in the cost of oranges is 20%
What is meant by percentage?A % is a quantity or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviation "pct.", "pct.", and occasionally "pc" are also used to indicate it, but the percent sign, "%," is more frequently employed. There is no unit of measurement for a %; it is a dimensionless number (pure number).
The symbol for "%" developed from the progressive reduction of the Italian term per cento, which means "for a hundred." It finally vanished totally. The word "per" was frequently shortened to "p." Two circles and a horizontal line made up the "cento," which is how the contemporary "%" symbol is now represented.
Given that the oranges at the grocery store went from $0.75/ib to $ 0.90/ib
=(0.90-0.75)/0.75
=0.15/0.75
=0.2
% increase= 0.2*100
=20%
Therefore, the percentage increase in the cost of oranges is 20%
To know more about percentage, visit:
https://brainly.com/question/16797504
#SPJ13
Help rqqqqqqqqqqqqqqqqqqqqqqqqqq thanks
Planet B has the larger mass. The mass of planet B is 50 times as large as the mass of planet A.
Mass of planet A = A = 8 * [tex]10^{23}[/tex]
Mass of planet B = B = 4 * [tex]10^{25}[/tex]
[tex]\frac{A}{B}=\frac{8 * 10^{23} }{4*10^{25} }[/tex]
= [tex]\frac{2}{100}[/tex]
= [tex]\frac{1}{50}[/tex]
50A = B
Hence, mass of Planet B is 50 times mass of planet B.
To learn more about mass here:
https://brainly.com/question/19694949
#SPJ1
You can afford monthly payment of $600 if your current mortgage rate or 3. 76% for a 30 year fixed rate loan how much can you afford to borrow if you’re required to make a 10% down payment and you have the cah on hand to do it how expenive a home can you afford
A rate of 3.76% per year for 30 years requires an initial principal investment of $281.95 to yield a total return of $600.00,
What is mortgage?These considerations include the total amount you borrow from the bank, the loan's interest rate, and the time frame for finishing your mortgage repayment. You should use the following formula to calculate your mortgage:
M = P [i(1 + i)n] / [(1 + i)n - 1].
The first step is to convert R percent to r a decimal, which is 3.76%/100 or 0.0376 per year.
Our equation is solved as follows:
M = 600 / (1 + (0.0376 30)) = 281.95488721805 P = $281.95
A rate of 3.76% per year for 30 years requires an initial principal investment of $281.95 to yield a total return of $600.00,
To learn more about mortgage refer to:
https://brainly.com/question/22598793
#SPJ1
a sample of 20 cupcakes found the interval for average calories to be (150, 350). which is the correct interpretation of the 95% confidence interval?
95% is the correct interpretation of the 95% confidence interval.
What is a confidence interval?
Using confidence intervals, one can gauge how "good" an estimate is; the wider the 90% confidence interval is for a given estimate, the more care must be taken when using that estimate. Confidence intervals serve as a crucial reminder of the estimates' limits.The confidence level informs us of the probability that the procedure we are employing will result in an interval of data or a range of data that will capture the population parameter.
A confidence interval's capture of a population parameter is never indicated by the confidence level.
We are therefore 95% certain that it captures the true mean, which seems to be correct.
Learn more about confidence interval's
brainly.com/question/24131141
#SPJ4
ܘܐ
a. x =
b. x =
54%
54°, y = 54°
27°, y = 108°
c. x = 27°, y = 54°
d. x = 54°, y = 108°
Answer:
d
Step-by-step explanation:
angles on the circle subtended by the same arc are congruent
54° and x° are subtended by the same arc y , then
x = 54°
the measure of an inscribed angle is half the measure of its intercepted arc.
x and 54 are inscribed angles intercepted by arc y , then
y = 2 × 54° = 108°
Explore
A 100-unit-long line is split in half.
Half of the line is used to form one large circle.
The other half forms two identical smaller circles.
Which is larger?
The circle with radius=7.95 is larger when a 100-unit long line is split in half.
What is meant by circle?A circle is a shape produced by all points in a plane that are a certain distance from the center. It is the curve drawn by a point traveling in a plane so that its distance from a specified point remains constant. The radius is the distance between any two points on a circle and the center. Typically, the radius must be positive. A degenerate instance is a circle with radius r=0. Except when otherwise noted, this article is about circles in Euclidean geometry, specifically the Euclidean plane.
A circle, in instance, is a fundamental closed curve that divides the plane into two regions: interior and exterior.
The perimeter of larger circle is 50 units
Therefore, 2πr=50
Radius=7.95
The perimeter of smaller circle is 25 units
Therefore, 2πr=35
Radius=3.97
The circle with radius=7.95 is larger.
To know more about circle, visit:
https://brainly.com/question/11833983
#SPJ1
Divide 24 in the ratio 1:3
Answer: So the division between two persons is 1/6 and 1/2.
Step by step: First Person = 1*4/24= 4/24 = 1/6 (0.16)
Second Person = 3*4/24 = 12/24= 1/2 (0.5)
Answer: the division between two persons is 1/6 & 1/2.
Step-by-step explanation:
Just divide
in the previous example, the mean of birth weights for individual babies in the population is 3,500 grams. what is the mean birth weight for the sampling distribution for samples of 100 babies? group of answer choices 35 350 3,500
If we take any sample from population the mean of sample is approximately population mean always sample mean of 100 babies is 3500.
What are statistics?Statistics is a science concerned with developing and studying methods of collecting, analyzing, interpreting, and presenting empirical data. Statistical research is applicable to virtually all scientific disciplines, and research challenges in various scientific disciplines motivate the development of new statistical methods and theories. Statisticians use a variety of mathematical and computational tools to develop methods and study the theory behind methods. His two basic ideas in the field of statistics are uncertainty and variability. Science (or life in general) often encounters situations where the outcome is uncertain.
CalculationSample mean is unbiased estimator of population mean.
so , if we take any sample from population the mean of sample is approximately population mean always.
therefore, sample mean of 100 babies is 3500.
learn more about statistics here:
brainly.com/question/20982963
#SPJ4
At the ice cream shop ,there are 11 shakes sold for every 6 malts .What is the ratio of malts to shakes
The ratio of malts to shakes is 6:11.
What is a ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.
In this case, in the ice cream shop ,there are 11 shakes sold for every 6 malts .
The ratio of malts to shakes will be:
= Number of malts / Number of ice cream
= 6/11
= 6:11
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
Factor completely.
x² − 8x+16
(-4)²
(z+4)²
2(z + 2)?
2(x - 2)²
Answer:
(x-4)^2 [I assume the (z+4)² option was mistyped. Who wants zzzzzzzzz?]
Step-by-step explanation:
x² − 8x+16
Lok for a pattern that would allow us to fill in the missing numbers in
(x+a)*(x+b)
We know that a and b must equal +16 when multiplied together. We also know their sum must be -8.
a*b = 16
a+b = -8
Is there anything that ties these numbers together? The number 4 comes to mind: 8 and 16 are known to be friendly to 4. We need the sum to be -8, so lets make the 4 negative and put it into both expressions.
(-4)+(-4) = -8 YES
(-4)*(-4) = 16 YES
Assinging -4 to both a and b produces the factored expression:
(x-4)*(x-4) = x² − 8x+16 YES
What is the expansion of the series sum from n equals 1 to 4 of 4 to the n plus 1 power question mark.
The expansion of the series will be 16 + 64 + 256 + 1024.
How to expand the series?
The expansion of a function into a series, or infinite sum, is known as a series expansion in mathematics. It is a technique for calculating a function that cannot be represented using just basic operators (addition, subtraction, multiplication and division).
The series is given as:
When n = 1, we have:
The series is given as S = (n=1,4)∑ [tex]4^{n+1}[/tex]
S = [tex]4^{2}+4^{3} +4^{4}+4^{5}[/tex]
S = 16 + 64 + 256 + 1024
Hence, the expansion of the series is 16 + 64 + 256 + 1024
Learn more about expansion, by the following link.
https://brainly.com/question/28062936
#SPJ4
Determine the length of the line egment hown. Line egment from negative 5 comma 5 to 3 comma negative 1
6 unit
8 unit
10 unit
36 unit
The length of line segment is 10 units.
Writing the start and end points of line segment in (x, y) axis. First point = (-5, 5) and second point = (3, -1).
To calculate the line segment the formula to be used is -
d = ✓([tex] x_{2}[/tex] - [tex] x_{1}[/tex] )² + ([tex] y_{2}[/tex] - [tex] y_{1}[/tex] )²
Keep the values in formula
d = ✓(3 - (-5))² + (-1 - 5)²
d = ✓(3 + 5)² + (-6)²
Performing subtraction and addition based on sign
d = ✓8² + 36
Taking square on Right Hand Side of the equation
d = ✓64 + 36
Performing addition on Right Hand Side of the equation
d = ✓100
Taking square root on Right Hand Side of the equation
d = 10 units
Hence, the distance is 10 units.
Learn more about line segment -
https://brainly.com/question/2437195
#SPJ4
The table shows ticket prices at a movie
theater. Ticket sales to an afternoon show
were $106. There were 10 child tickets sold.
Write and solve an equation to find how many
adult tickets were sold. Show your work.
Answer:
their would be 1,060 that they sold
a circular mirror is surrounded by a square frame. the radius of the mirror is 7x. the side length of the metal frame is 21x. what is the area of the metal frame? write your answer in factored form.
Answer:
Why does each perfect square have two square roots?
Step-by-step explanation:
Why does each perfect square have two square roots?
The price of a technology stock was $9.45 yesterday. Today, the price rose to $9.61 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
The percentage increase in the price of a technology stock is 1.69%.
According to the question,
We have the following information:
The price of a technology stock was $9.45 yesterday. Today, the price rose to $9.61.
We know that following formula is used to find the percentage increase:
Percentage increase = 100*(final price- initial price)/initial price
Percentage increase for the technology stock = 100*(9.61-9.45)/9.45
Percentage increase for the technology stock = 100*0.16/9.45
Percentage increase for the technology stock = 16/9.45
Percentage increase for the technology stock = 1.69%
Hence, the percentage increase in the price of a technology stock is 1.69%.
To know more about percentage increase here
https://brainly.com/question/15510398
#SPJ1
The general equation for depreciation is given by y=a(1-r)^t where y=current value.
With the help of the given equation, we know that the automobile is worth $12528.15 after four years.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.a formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2. In the above example, the variable x exists.So, the equation of depreciation: y = A(1 - r)∧t
The current value is y.
A is the initial cost.
r is the depreciation rate.
t is the time in years, and
In four years, we must ascertain the present value.
Now,
y = $24000(1 - 0.15)⁴
y = 24000(0.85)⁴
y = 24000 × 0.52200625
y = 12528.15
Therefore, with the help of the given equation, we know that the automobile is worth $12528.15 after four years.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ4
Complete question:
The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $
The point with the lowest elevation in the United States is Badwater Basin, California at 279 feet below sea level. The point with the highest elevation in the United States is Denali, the mountain in Alaska, at 20,237 feet above sea level.
Use absolute value to find the distance between them.
Answer:
hink of sea level as 0 , and the elevation above sea level as positive, while the elevation below sea level is negative. Then determine the distance between them as if the two values are on a number line.
20617 feet
Step-by-step explanation:
Solve for x: 138 = 6 + 3(6x + 2)
Answer:
x=7
Step-by-step explanation:
Use the Distributive Property to simplify the equation.
3. Calculer la mesure des angles ADC et ABC de la figure ci-dessous.
Answer:
∠ ADC = 113° , ∠ ABC = 85°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , then
∠ ADC + ∠ ACD + ∠ CAD = 180° , that is
∠ ADC + 39° + 28° = 180°
∠ ADC + 67° = 180° ( subtract 67° from both sides )
∠ ADC = 113°
---------------------------
DA is an angle bisector of ∠ BAC , then
∠ BAD = ∠ CAD = 28° , then ∠ BAC = 56° , then
∠ ABC + ∠ BAC + ∠ ACB = 180° , that is
∠ ABC + 56° + 39° = 180°
∠ ABC + 95° = 180° ( subtract 95° from both sides )
∠ ABC = 85°
Carlos graphed the system of equations that can be used to solve x cubed minus 2 x squared + 5 x minus 6 = negative 4 x squared + 14 x + 12.
The graph of the given equations is (see in attachments). The roots are (-3,-2,3)
From the question, we have
x^3 - 2x^2 + 5x - 6 = -4x^2 + 14x + 12
The roots are (-3,-2,3)
Graph:
A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.
To learn more about graph visit: https://brainly.com/question/17267403
#SPJ1
Answer:
A on edge
Step-by-step explanation:
because i said so
Giving out Brainliest!!!
Blake was a little concerned as he stood in the middle of the overcrowded elevator. The sign clearly stated that the total weight in the elevator had a maximum capacity of 2,500 pounds.
Write an inequality to show the weight limit for the elevator.
w ≤ 2,500
w ≥ 2,500
w < 2,500
w > 2,500
The inequality that shows the maximum weight capacity of the elevator is w≤ 2500
InequalityInequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.
To represent the weight limit for the elevator using inequality, we can write it out as
w = weightw ≤ 2500
This shows that the weight must not exceed 2500 pounds
Learn more on inequality here;
https://brainly.com/question/25275758
#SPJ1
Simplify the ratio.
3-5\4-1
The ratio (3 - 5)/(4 - 1) in the simplified form is -2/3.
What are ratios?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Ratios can be divided into two categories. The part-to-whole ratio is one, and the part-to-part ratio is another. The part-to-part ratio illustrates the relationship between two separate entities or groupings.
Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.
The given ratio is
(3 - 5)/ (4 - 1)
When we subtract a bigger number from a smaller number, we subtract the small number from the bigger one and put the sign before the result the sign of the bigger number. So,
= - 2 / 3
So, the simplified form of (3 - 5)/ (4 - 1) is -2/3.
To know more about ratios, visit:
https://brainly.com/question/2804192
#SPJ13
Which expression has a value of -18?
Answer:
C. 34 - 16 = 18
ALSO
D. -4 - (-22)
-4 + 22 = 18
Step-by-step explanation:
This is the REAL Question!
Which expressions have a value of 18?
Choose all answers that are correct.
A. –3 – 21 B. 7 – (–25) C. 34 – 16 D. –4 – (–22)
Look at the time on the clock below. Select all of the ways to write this time.
A clock shows the hour hand between 6 and 7 and the minute hand at 10.
A.
10 minutes before 7
B.
40 minutes after 6
C.
6:40
D.
50 minutes after 6
E.
6:50
All of the ways to write this time are:
.A.
10 minutes before 7
.D.
50 minutes after 6
.E.
6:50
What is a Clock?
This is a device or timepiece used to tell or measure time. It is a 24-hour measurement instrument. it reads in am(the morning time) and pm (afternoon/night time).
The morning time starts at the midnight (1 am) and ends in the mid-day(12 noon). The afternoon time starts mid-day (1 pm) and ends at the midnight(12 midnight).
Hence, 12mid night -11 in the morning is designated am. 12 noon- 11 pm in the night is designated pm.
Learn more about time on
https://brainly.com/question/12706984
#SPJ1
What is the sum of (x - 8x² - 15) and (2 + 12x - 3x²)?
A -5x² - 11x - 17
B -112² + 13x - 13
C 11r2 + 11x - 17
D 2x² + 4x - 18
Answer:
-11[tex]x^{2}[/tex] + 13x- 13
Step-by-step explanation:
(x - 8x² - 15) + (2 + 12x - 3x²)
(x + 12x) + (- 8x² - 3x²) + (- 15 + 2) [Combine like terms]
-11[tex]x^{2}[/tex] + 13x- 13
the average gas mileage of a certain model car is 30.0 miles per gallon. if the gas mileages are normally distributed with a standard deviation of 0.75 miles per gallon, find the probability that a car has a gas mileage of between 29.8 and 30.2 miles per gallon.
By using normal distribution, it is obtained that the probability that a car has a gas mileage of between 29.8 and 30.2 miles per gallon is 0.2128
What is normal distribution?
Normal distribution is a continuous type probability distribution whose probability density function is
[tex]\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{z^2}{2}[/tex]
where, z = [tex]\frac{x - \mu}{\sigma}[/tex]
[tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation
For x = 29.8, z = [tex]\frac{29.8-30}{0.75}[/tex] = -0.27
For x = 30.2, z = [tex]\frac{30.2-30}{0.75}[/tex] = 0.27
so, P(29.8 < x < 30.2) = P(-0.27 < z < 0.27)
= 2 [tex]\times[/tex] P(z < 0.27)
= 2 [tex]\times[/tex] 0.1064
= 0.2128
Probability that a car has a gas mileage of between 29.8 and 30.2 miles per gallon is 0.2128
To learn more about normal distribution, refer to the link-
brainly.com/question/4079902
#SPJ4
4. Find the positive square root, then the negative square root of each of the following numbers:
16
0.36
25
0.64
1.21
0.25
1.44
2 500.
The positive square root, then the negative square root of each of the following numbers are:
4, -4, 0.6,-0.6, 5,-5, 0.8, -0.8, 1.1, -1.1, 0.5, -0.5, 1.2, -1.2, 50, -50.
Given,
In the question:
Find the positive square root, then the negative square root of each of the following numbers:
The numbers are given as:
16, 0.36, 25, 0.64, 1.21, 0.25, 1.44, 2500
Now, According to the question;
Square Root:
The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is \sqrt{ } square root of, end square root . Finding the square root of a number is the opposite of squaring a number.
We have to find the Arithmetic Square Root Method
and, Add a minus sign to the Arithmetic root.
a) [tex]\sqrt{16}[/tex] = 4
[tex]-\sqrt{16}[/tex] = -4
b) [tex]\sqrt{0.36}[/tex] = 0.6
[tex]-\sqrt{0.36}[/tex] = -0.6
c) [tex]\sqrt{25}[/tex] = 5
[tex]- \sqrt{25}[/tex] = -5
d) [tex]\sqrt{0.64}[/tex] = 0.8
[tex]-\sqrt{0.64}[/tex] = -0.8
e) [tex]\sqrt{1.21}[/tex] = 1.1
[tex]-\sqrt{1.21}[/tex] = -1.1
f) [tex]\sqrt{0.25}[/tex] = 0.5
[tex]-\sqrt{0.25}[/tex] = -0.5
g) [tex]\sqrt{1.44}[/tex] = 1.2
[tex]-\sqrt{1.44}[/tex] = -1.2
h) [tex]\sqrt{2500}[/tex] = 50
[tex]-\sqrt{2500}[/tex] = -50
Hence, The positive square root, then the negative square root of each of the following numbers are:
4, -4, 0.6,-0.6, 5,-5, 0.8, -0.8, 1.1, -1.1, 0.5, -0.5, 1.2, -1.2, 50, -50.
Learn more about Square Root at:
https://brainly.com/question/1387049
#SPJ1
