Answer:
The least coomon denominator is 12, so
9/12 and 10/12
a ski resort charges $55 for renting a snowboard or skis and $11 per hour for a lift ticket. If julian spent a total of $121, how many hours was you there
If a ski resort charges $55 for renting a snowboard or skis and $11 per hour for a lift ticket. If julian spent a total of $121. The number of hours is 6.
How to find the number of hour?Let's call the number of hours Julian spent at the ski resort "h".
We know that:
55 (the cost of the equipment rental) + 11h (the cost of the lift ticket) = 121 (the total amount Julian spent).
So we can subtract 55 from both sides to isolate the lift ticket cost:
11h = 121 - 55 = 66
Finally, we divide both sides by 11 to find the number of hours:
h = 66 / 11 = 6
Therefore, Julian was at the ski resort for 6 hours.
Learn more about number of hours here:https://brainly.com/question/21289653
#SPJ1
An IQ test produces scores that are normally distributed with mean value 100 and standard deviation 14.2. The top 1 percent of all scores are in what range
The top 1 percent of all scores are in range 0.1587 > x > 114.2.
What is z-score?The z score, also referred to as the standard score, serves to calculate how far each data point place is from its mean. In other words, it calculates x's (data point's) deviation in terms of standard deviations.
Given:
IQ scores follow a normal distribution, with a mean of 100 as well as a standard deviation = 14.2.
A z score is determined as follows:
z = (x - μ)/σ
μ = mean of the distribution
σ = standard distribution of the sampling.
1 = (X - 100)/14.2
X = 114.2
P (x > 114.2) = 1 - P(x < 114.2)
= 1 - P(z < 1.0)
= 1 - 0.8413
P (x > 114.2) = 0.1587
Therefore, the top 1 percent of all scores are in range 0.1587 > x > 114.2.
Learn more more about the z score here:
brainly.com/question/25638875
#SPJ4
✨✨✨IDENTIFY THE DOMAIN AND RANGE OF EACH. THEN SKETCH THE GRAPH✨✨✨ PLS HELPPPPPPP
Answer:
A
Step-by-step explanation:
The graph stops at the point (-1,-3) so
The domain (x) would have to be greater than or equal to -1
The range (y) would be greater than or equal to -3
Tomas has 10 dollars Aisha has x more than Tomas if x = 5 how much money does Aisha have
Answer:
15
Step-by-step explanation:
If x = 5 dollars and Aisha has x (5 dollars) more than Tomas, then that means 10 + 5 = 15.
Answer:
aisha has 15 dollars
Step-by-step explanation:
the word more indicates that you are adding. since tomas has 10 and aisha has x (and x = 5) more (+), you are adding 5 to what tomas has.
10 + 5 = 15
This is precalc trig please help
The answer to the trigonometry question in the picture attached is:
= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)
Here is the step by step approach to solving the trigonometrySimplify 1-csc θ as follows:
1 - csc θ = (1 - csc θ)(1 + csc θ) / (1 + csc θ)
= 1 - csc^2 θ / (1 + csc θ)
= 1 - 1/sin^2 θ / (1 + 1/sin θ)
= 1 - sin^2 θ / (sin θ + 1)
= (sin θ - sin^2 θ) / (sin θ + 1)
Simplify 1+csc θ as follows:
1 + csc θ = (1 + csc θ)(1 - csc θ) / (1 - csc θ)
= 1 - csc^2 θ / (1 - csc θ)
= 1 - 1/sin^2 θ / (1 - 1/sin θ)
= 1 - sin^2 θ / (sin θ - 1)
= (sin θ + sin^2 θ) / (sin θ - 1)
Substitute the above simplifications in the expression cos θ/(1-csc θ) * 1+csc θ/(1+ csc θ) to get:
cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)
Simplify the expression by canceling out the sin^2 θ terms:
cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)
= cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)
Simplify further by factoring out common terms in the numerator and denominator:
cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)
= cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]
Finally, simplify the expression by factoring out a sin θ term from the denominator:
cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]
= cos θ * (1 + sin θ) / [sin θ * (1 - sin θ) * (sin θ + 1)]
= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)
Learn more about Trigonometry here:
https://brainly.com/question/25618616
#SPJ1
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his account after 2 years.
Answer:
6564.696
Step-by-step explanation:
A=6,000×(1+0.046)^(2)
A=6,564.696
The graph below is a function.
True or false?
Answer:
true!
Step-by-step explanation:
hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.
The top of square table has an area of 24 square feet. What is the length of 1 edge of the tabletop?
The length of one edge of the tabletop is 4.89 feet.
We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.
The area of square table is given by the formula -
Area of square table = side²
We will keep the value of area of square table to find the value of side which will be length of edge
24 = side²
Side = ✓24
Taking square root for the value on right side of the equation
Side = 4.89
Hence, the length of one edge of the tabletop is 4.89 feet.
Learn more about square -
https://brainly.com/question/25092270
#SPJ4
HELP!! Find the inverse of the matrix…
Answer:
the answer is b
To construct the confidence interval for a population mean. If a sample with 64 observations, sample mean is 22, and sample standard deviation is 5, what is a 90% confidence interval for the population mean
With 90% confidence, we can say that the population mean falls between 20.96 and 23.04.
To construct the confidence interval for a population mean, we can use the formula:
Confidence interval = sample mean ± (critical value) x (standard error)
where the standard error is the standard deviation of the sample mean, which is calculated as:
standard error = sample standard deviation / √sample size
The critical value depends on the desired level of confidence and the degrees of freedom (df), which is the sample size minus 1. For a 90% confidence interval and 62 degrees of freedom, the critical value from a t-distribution is 1.667 (found using a t-table or calculator).
Plugging in the values, we get:
standard error = 5 / √64 = 5 / 8 = 0.625
Confidence interval = 22 ± 1.667 x 0.625 = (20.96, 23.04)
Therefore, with 90% confidence, we can say that the population mean falls between 20.96 and 23.04.
To learn more about standard deviation here
https://brainly.com/question/475676
#SPJ4
help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
It would take more than 291 hours (or approximately 12 days) for everyone to get a picture, assuming they all took the full allotted time of 15 seconds.
This is because 70,000 people multiplied by 15 seconds per picture equals 1,050,000 seconds in total.
1,050,000 seconds is equal to approximately 17,500 minutes, or 291.67 hours.
In other words, it would take more than 291 hours (or approximately 12 days) for everyone to get a picture, assuming they all took the full allotted time of 15 seconds.
However, it is important to note that this is an estimate and there are other factors to consider.
For example, not everyone may want to take a picture, some people may take longer or shorter than 15 seconds, and there may be logistical factors such as crowd control and organization that could impact the time it takes for everyone to get a picture.
For more questions on hours
https://brainly.com/question/10929133
#SPJ8
Ferris wheel in London; England It stands 135 meters tall with a The London Eye iS a giant diamederof 120 meters: It takes half an hour to complete one revolution form hlt) = A cos( Br D t0 model the height; h (in meters). Find cosine funclion of the (in minutes). Assume the passenger passenger riding the London Eye as a function of time 0. Sketch the graph of one period on the next page and is at the bottom of the wheel at time use it to help you answer the following questions and create your function What is a rider' height at m = 0 minutes? (Hint: It is not 0 meters) 2. How long does it take for a rider to reach the top? What is the rider's height at that time? What is the period of this function? Use the period to find What is the vertical shift and amplitude of this function? 5 . Find The Equation Of Your Cosine Function, Use your function to find a rider's height at =21minutes. Sketch the graph ofyour function (This helps to answer the previous questions)
The height of a rider on the London Eye Ferris wheel in London can be modeled by the function h(t) = A * cos(B * t), where t represents time in minutes. The Ferris wheel stands 135 meters tall with a diameter of 120 meters. It takes half an hour (30 minutes) to complete one revolution.
1. At t = 0 minutes, the rider is not at the bottom of the wheel but at the midpoint of the wheel's diameter, so the rider's height is equal to the radius of the wheel, which is half of its diameter. Therefore, the rider's height at t = 0 minutes is 120/2 = 60 meters.
2. To determine the time it takes for the rider to reach the top, we need to find the period of the cosine function. The period (T) is the time it takes for one complete cycle of the function. In this case, the period is equal to the time it takes for the Ferris wheel to make a full revolution, which is 30 minutes. So, the rider reaches the top after half of the period, which is T/2 = 30/2 = 15 minutes. At that time, the rider's height is equal to the sum of the radius of the wheel and its height, which is 60 + 135 = 195 meters.
3. The period of the cosine function is T = 30 minutes.
4. The vertical shift of the function represents the average height of the rider throughout one complete cycle. In this case, the average height is the sum of the radius and the height of the Ferris wheel divided by 2, which is (60 + 135)/2 = 97.5 meters. Therefore, the vertical shift of the function is 97.5 meters. The amplitude of the function is half of the vertical distance between the maximum and minimum values, which is (135 - 60)/2 = 37.5 meters.
5. The equation of the cosine function is h(t) = 97.5 + 37.5 * cos((2π/30) * t). To find the rider's height at t = 21 minutes, we substitute t = 21 into the equation: h(21) = 97.5 + 37.5 * cos((2π/30) * 21) ≈ 185.11 meters.
In summary, the rider's height at t = 0 minutes is 60 meters. It takes 15 minutes for the rider to reach the top, at which point their height is 195 meters. The period of the function is 30 minutes. The vertical shift is 97.5 meters, and the amplitude is 37.5 meters. Using the cosine function, the rider's height at t = 21 minutes is approximately 185.11 meters.
Learn more about cosine function here: brainly.com/question/3876065
#SPJ11
You bought a lawn mower for $80. For every lawn you cut, you plan to charge
customers $20. Which graph shows how many lawns you must cut to earn back the
money spent on the lawn mower?
A graph that shows the number of lawns you must cut to earn back the money spent on the lawn mower include the following: B. graph B (top right).
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Based on the information provided above, a linear equation that models the situation with respect to the rate of change is given by;
y = mx + c
y = 20x - 80
In conclusion, we can logically deduce that the slope is equal to $20 while the y-intercept is $80.
Read more on slope-intercept here: brainly.com/question/7889446
#SPJ1
Find the Ans pls pls pls
Answer:
there still is no picture after i refreshed
Step-by-step explanation:
(a) Calculate 8% of £3.25.
Answer:
8÷100×3.25
=£0.26
hope it is helpful to you
Step-by-step explanation:
8÷100×3.25
=0.26
espero ter te ajudado
A researcher was interested in the relationship between a swimmer’s hand length and corresponding time to complete the 100-meter freestyle. The researcher selected a random sample of twenty swimmers from all participants in a swim competition. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle?.
To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.
1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.
to learn more about linear regression t-test click here:
brainly.com/question/29993626
#SPJ11
a researcher uses an anonymous survey to investigate the television-viewing habits of american adolescents. the goal of the research is to determine the average number of hours each day that american adolescents spend watching television. the researcher is trying to determine a number that is an example of a .
The research for the television-viewing habits given of american adolescents is example of the "population parameter".
What is termed as the population parameter?A population is any large group of objects or people about whom information is sought, including such Americans, students, or trees.A parameter is any overview number that describes this same entire population, such as an average or percentage.A population parameter is indeed a number that indicates something about a group or population as a whole. This is not to be confused with parameters in those other types of math, that also refer to constant values for a specific mathematical function. Also, a population parameter is not the same as a statistic, which really is data that refers to a specimen, or subset, of a larger population.For the given question.
An anonymous survey is used by the researcher to explore the television viewing behaviors of American adolescents.
The study's objective is to figure out the average number of hours that American adolescents dedicate watching television each day.
Thus, the researcher is attempting to identify a number that serves as an example of a population parameter.
To know more about the population parameter, here
https://brainly.com/question/28175212
#SPJ4
0.35 is best known as what number
4. The area of a square field is 100 acres. Find its perimeter.
Answer:
Perimeter of a square = 40 acres
Step-by-step explanation:
Given the following data;
Area of square = 100 acres
The area of a square is given by the formula;
Area of square = l²
Where: l is the length of its sides.
100 = l²
Taking the square root of both sides, we have;
l = 10 acres
Now to find the perimeter;
Perimeter of a square = 4 * length of sides
Perimeter of a square = 4 * 10
Perimeter of a square = 40 acres
pleaseeee help i don't understand how to do this
Answer:
\(x=\frac{5}{k}\)
Step-by-step explanation:
Given expression is,
\(\text{log}_{3^k}243=x\)
By using the law of logarithm,
\((3^k)^x=243\)
\(3^{kx}=243\)
\(3^{kx}=3^5\)
By comparing exponents on both the sides of the equation,
\(kx=5\)
\(x=\frac{5}{k}\)
Therefore, \(x=\frac{5}{k}\) will be the answer.
at what point does the curve have maximum curvature? y = 8ex
The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,
To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.
First, we find the first derivative of y = 8e^x with respect to x:
dy/dx = 8e^x
Then, we differentiate again to find the second derivative:
d²y/dx² = d(8e^x)/dx = 8e^x
Setting the second derivative equal to zero:
8e^x = 0
Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.
However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.
In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.
Visit here to learn more about maximum curvature:
brainly.com/question/8570736
#SPJ11
The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
is 7x+y+3=y a linear equation. also is this in standard form
Answer:
Hi! The correct answer is 7x=-3!
Step-by-step explanation:
~Write in standard form~
Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standing on the second to past rung of the ladder, Andrew can reach 5 feet above the point where the ladder rests against the wall. How high up the wall can Andrew paint
Andrew can reach a maximum of \(24.6ft\) high up the wall.
The right-angled triangle formed can be solved using the \(sine\) ratio. that is
\(sin(72^\circ})=\dfrac{h}{20}\)
where \(h\) is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for \(h\), we get
\(0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft\)
Since Andrew can reach an extra \(5ft\) above the point where the ladder rests against the wall, the maximum height Andrew can paint is
\((19.632+5)ft=24.632ft\\\\\approx24.6ft\)
Another solved word problem on trigonometry can be found here: https://brainly.com/question/12146092
A square piece of cardboard was used to construct a tray by cutting 2-inch squares out of each corner and turning up the flaps. Find the size of the original square if the resulting tray has a volume of 128 cu in.
Answer:The original square was 10 x 10 inches
Step-by-step explanation:
Let L, W, and H stand for length, width, and height (in inches)
Volume = L*W*H
L*W*H = 128 in^3
H = 2 in
This is a square, so L = W
L*W*H = 128 in^3
W*W*(2in) = 128 in^3
W^2 = 64 in^2
W = 8 in
Add 2 in for the area that was used for the side.
The original square was 10 x 10 inches
Answers please I’m struggling fr fr
The factor form of the quadratic equations are listed below:
8 · (x - 7) · (x + 6) 3 · (4 · x + 5) · (3 · x - 1) - 12 · (x - 1 / 2) · (x + 4 / 3) 4 · (2 · x - 5) · (2 · x + 5) (4 · x - 3) · (4 · x + 3) 5 · (x - 3) · (5 · x + 2) 6 · (x - 9) · (x - 3) - 3 · (7 · x + 2) · (x - 4) 36 · (x - 5 / 6)² 490 · (x - 9 / 7) · (x + 9 / 7)How to factor quadratic equations
In this problem we find ten cases of quadratic equations that must be factorized by means of algebra properties, now proceed to determine the factor form of each case:
Case 1
8 · x² - 8 · x - 336
8 · (x² - x - 42)
8 · (x - 7) · (x + 6)
Case 2
36 · x² - 12 · x + 45 · x - 15
12 · x · (3 · x - 1) + 15 · (3 · x - 1)
(12 · x + 15) · (3 · x - 1)
3 · (4 · x + 5) · (3 · x - 1)
Case 3
- 12 · x² - 10 · x + 8
- 2 · (6 · x² + 5 · x - 4)
- 12 · [x² + (5 / 6) · x - 2 / 3]
- 12 · (x - 1 / 2) · (x + 4 / 3)
Case 4
16 · x² - 100
4 · (4 · x² - 25)
4 · (2 · x - 5) · (2 · x + 5)
Case 5
16 · x² - 9
(4 · x - 3) · (4 · x + 3)
Case 6
25 · x² + 10 · x - 75 · x - 30
5 · x · (5 · x + 2) - 15 · (5 · x + 2)
(5 · x - 15) · (5 · x + 2)
5 · (x - 3) · (5 · x + 2)
Case 7
6 · x² - 72 · x + 162
6 · (x² - 12 · x + 27)
6 · (x - 9) · (x - 3)
Case 8
- 21 · x² + 84 · x + 6 · x - 24
- 21 · x · (x - 4) + 6 · (x - 4)
(- 21 · x + 6) · (x - 4)
- 3 · (7 · x + 2) · (x - 4)
Case 9
36 · x² - 60 · x + 25
36 · [x² - (5 / 3) · x + 25 / 36]
36 · (x - 5 / 6)²
Case 10
490 · x² - 810
490 · (x² - 810 / 490)
490 · (x - 9 / 7) · (x + 9 / 7)
To learn more on quadratic equations: https://brainly.com/question/1863222
#SPJ1
The star shape is made from a regular hexagon and six congruent equilateral triangles The area of the star shape is 96cm squared Work out the area of the regular hexagon.
Answer:
48 Square Centimeters
Step-by-step explanation:
The red triangular exterior pieces are all equilateral triangles with some side length.
We don't need to know what that side length is. It doesn't matter.
The area of one red equilateral triangle is some area A.
There are 6 of these red triangles, so the red exterior triangular parts combine to a total area of 6*A.
The hexagon is composed of equilateral triangles as well.
Each of these blue equilateral triangles is congruent to any outer red triangle because the side length is the same.
Therefore, the 6 blue equilateral triangles composing this hexagon combine to get a total area of 6*A
The area of the star overall is 12*A because we have 6 blue triangles combining with the 6 red triangles.
There is a total of 12 triangles.
which of the following situations can be modeled by uniform distribution? when each value of a continuous random variable is not equally likely to occur when each discrete value is equally likely to occur when each value of a continuous random variable is equally likely to occur salary of the employees in an organization
The situations that can be modeled by uniform distribution include;
Option 2) is: When each discrete value is
equally likely to occur.
Option 3) is: When each value of a continuous random variable is equally likely to occur.
What is a uniform distribution?Since each value has an equal chance of occurrence, thus this situation can be modelled by Uniform distribution.
Since each value of a continuous random variable is equally likely to occur, that it follows a continuous uniform distribution.
A uniform distribution is a type of probability distribution in statistics in which all outcomes are equally likely. A deck of cards has uniform distributions because the chances of drawing a heart, a club, a diamond, or a spade are all equal. When you sample a random element, you do so according to some distribution.
The term "uniformly" refers to sampling from a uniform distribution, i.e., from a set in which drawing each element is equally likely. In statistics, it is a type of probability distribution in which every possible outcome has an equal chance of occurring. Because each variable has an equal chance of being the outcome, the probability is constant.
Learn more about uniform distribution on:
https://brainly.com/question/20815963
#SPJ1
What is the leading coefficient of the polynomial?
15x^4 – 26x^3 – 18x^6 – 19x^7
Answer:
-19
Step-by-step explanation:
Rewrite the equation from highest exponent to lowest:
-19x^7-18x^6+15x^4-26x^3
Coefficients are the numbers in front of the exponent, so the leading coefficient is what is attached to the highest exponent value.
-19x^7 is the highest exponent, so -19 is the highest coefficient.
Reduce to simplest form.
-7/12 +3/8
Answer:
ok so you should get -5/24 in simplest form.
Decimal form- -0.2083 repeating
Step-by-step explanation:
Hope this helped :)