Answer:there is a very strong corolation
Step-by-step explanation:
Given the following unit circle, rotate green dot to the appropriate angle and then
find the exact value of the function.
sin 60°
That is where it would go, then. Therefore, you would turn your green dot such that it was parallel to the 30° point. Now that this is set up, you'll see that it ought to sort of lock somewhere along the way up since we also have our 45°, 60°, and 90° angles.
Get the function's precise value?Um What you mean by t t is quite tough to understand. Symbol six. I'm going to assume that you're asking for the sine of pi squared, which is a relatively typical inquiry of this nature.I apologize if that wasn't the question you were asking, but in light of the current situation, I'm not sure how to provide a better response. We'll now proceed to give you the sine of pi, six, exactly. Since quadrant one is where I would expect the angle of pi to be six times six on the unit circle, we will only be concerned with that quadrant for the time being. Pie sexts correspond to 30 degrees when seen in terms of degrees. That is where it would go, then. Therefore, you would turn your green dot such that it was parallel to the 30° point. Now that this is set up, you'll see that it ought to sort of lock somewhere along the way up since we also have our 45°, 60°, and 90° angles. And these match the pi quarters, pi thirds, and pi halves. And so it is. Currently, pi sine sexts. Once more, that is pi six.The complete question is,
Find the precise value of the function by rotating the green dot to the proper angle in relation to the following unit circle. T sin 6' ...
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Find the percent of decrease from 95 to 60.
Enter your answer, rounded to the nearest tenth,
Q: If a number decreases to \(60\) when it is \(95\), what number will it decrase to when it is \(100\)?
This is the question we should ask ourselves when we want to find the percentage of decrase. We will get the result using direct proportion and round to the nearest tenth.
\(\frac{95}{60}=\frac{100}{x}\)We multiply by each other to solve the equation.
\(95(x)=60.100\)\(x=\frac{6000}{95}\)\(x=63.157\)If we round the number to the nearest tenth, the result is as follows.
\(63.2\)Evaluate if a = - 3 and b = 2
-3a/B^2
Answer:
9/4
Step-by-step explanation:
= -3a
= -3(-3)
= 9
=B^2
= (2)^2
=4
therefore answer: 9/4
how do you multiply a square root by a square root and a whole number?
for example, the square root of 5 times (4 times the square root of 5) is 20, but i don’t understand how rob solve for this thanks!
To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication
Given data ,
Let the numbers be represented by the expression A
Now , the value of A is
A = √2 × 3√5
First, you can simplify each square root:
√2 = 1.4142 (rounded to 4 decimal places)
3√5 = 5.1962 (rounded to 4 decimal places)
Next, you can multiply the two simplified square roots and the whole number:
√2 × 3√5 = 1.4142 × 5.1962 × 3
= 22.3607 × 3
= 67.0821
Hence , the expression is A = √2 × 3√5 = 67.0821
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which two parts of the vehicle are most important in preventing traction loss
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.
Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.
Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
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At cycle and sport, customers can rent bikes, electric scooters, kayaks, canoes or paddleboards by the hour. Ari is renting a bike, meg is renting a electric scooter.
Answer:
Option A, 9b + 10s is correct
Step-by-step explanation:
The complete question is
At cycle and sport customers can rent bikes, electric scooters, kayaks, canoes, or paddleboards by the hour. Ari is renting a bi ke, and meg is renting an electric scooter. Which expression represents the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours (Please answer ASAP) A. 9b + 10s B. 9 + 10 C. (9+b) + (10 + s) D. 9 + 10 x b + s
Solution
The price of renting a bike for one hour is $9
The price of renting a scooter for one hour is $10
Given -
Ari rents a bike for b hours and Meg rents a scooter for s hours
Total cost of renting a bike is 9 * b
Total cost of renting a scooter is 10* s
The total cost of renting both the bike and scooter is
9b + 10s
Hence, option A is correct
(b) Each unit on the grid repreent 25 feet. Find the perimeter of the factory. Show your work
If each unit on the grid represent 25 feet, then the perimeter of the factory is 1000 feet
Each unit on the grid represent 25 feet
The length of the side w1 = 3 × 25
= 75 feet
The length of the side N1 = 13 × 25
= 325 feet
The length of the side E1 = 7 × 25
= 175 feet
The length of the side S1 = 5 × 25
= 125 feet
The length of the side W1 = 4 × 25
= 100 feet
The length of the side S2 = 8 × 25
= 200 feet
The perimeter of the factory = 75 + 325 + 175 + 125 + 100 + 200
Add the terms together
= 1000 feet
Therefore, the perimeter of the factory is 1000 feet
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In circle A, ∠BAE ≅ ∠DAE.
Circle A is shown. Line segments A B, A E, and A D are radii. Lines are drawn from point B to point E and from point E to point D to form secants B E and E D. Angles B A E and E A D are congruent. The length of B E is 3 x minus 24 and the length of E D is x + 10.
What is the value of x?
14
17
27
34
Based on the definition of congruent triangles, the value of x is: B. 17.
What are Congruent Triangles?Congruent triangles are triangles having corresponding angles and sides that are congruent to each other.
The two triangles in the diagram are equal.
Therefore:BE = ED
Substitute3x - 24 = x + 10
Combine like terms3x - x = 24 + 10
2x = 34
Divide both sides by 2x = 17
Therefore, based on the definition of congruent triangles, the value of x is: B. 17.
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Answer:
17
Step-by-step explanation:
I need help, this is so hard
10x is greater than or equal to 120 cm^2
Answer:
x greater than or equal to 12cm^2
Step-by-step explanation:
Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equation shows how many minutes Jack reads his book in two weeks?
Answer:
90 min or 1hr 30 minsStep-by-step explanation:
Even though the options to choose from are not given in this question we can try and lay our hand on the most likely equation for the number of minutes Jack reads his book.
firstly on a daily Jack reads a total of = 8+10 = 18 mins
He attends school from Mon- fri = 5 days
Now on a weekly basis jack reads = 5*18
in other words, the equation is simply the number of days times the time spent to read his book per day
hence this is = 90 min or 1hr 30 mins
twenty percent of the students in a class of 400 are planning to go to graduate school. the standard deviation of this binomial distribution is group of answer choices 64. 20. 8. 40.
Twenty percent of the students in a class of 400 are planning to go to graduate school. The standard deviation of this binomial distribution is 8.
What is binomial distribution?The binomial distribution is a type of probability distribution that computes the probability of a given number of successes in a fixed number of independent tests with two possible results: success and failure. Furthermore, the following are the features of the binomial distribution:
The trial is identical, with two possible outcomes: success and failure.
The probability of success (p) and failure (q = 1 - p) remains constant throughout the trials.
All trials are independent of one another.
The formula for a standard deviation for binomial distribution is given by:
\($\sqrt{npq}$$\)
Where n is the sample size, p is the probability of success, and q is the probability of failure.
Therefore, given that the percentage of students planning to go to graduate school is 20%, the probability of success (p) is 0.2, and the probability of failure (q) is 0.8. The sample size (n) is 400.
Thus, the standard deviation can be calculated as follows:
\($$\sqrt{npq} = \sqrt{400\times 0.2\times 0.8} \approx 8$$\)
Therefore, the standard deviation of this binomial distribution is 8.
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a researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers. for a week prior to training, each subject records the number of headaches suffered. subjects then receive relaxation training and for the week following training the number of headaches is again measured. the change in number of headaches before and after training is as follows (minus signs indicate a reduction): difference scores: -5 -1 -4 -3 -6 -8 0 1 -1 is there an effect of training? use a two-tailed test with
Yes, there is an effect of training. To determine this, we will use a two-tailed test.
This test is used to compare the difference in means between two sets of data. In this case, we are comparing the number of headaches before and after the relaxation training.
First, we will calculate the mean difference in headaches, which is -2.5. Next, we will calculate the standard deviation of the difference scores, which is 3.58. Finally, we will calculate the t-score, which is -1.4.
Since the t-score is lower than the critical value of 2.576, we can reject the null hypothesis that there is no effect of training. This means that the relaxation training did have an effect on the number of headaches for chronic headache sufferers.
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Given the triangle ABC, if angle A is 9 º, side a is 44 m, and side b is 46 m, find angle C. Please round to one decimal
The angle of C is 161.4°.
Law of Sine:Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.
We have :
In the Triangle ABC,
Angle A is 9 º
Side of a is 44 m,
and side of b is 46 m
To find the angle of C
Now, use the law of sines to find angle B:
b/sin B = a/sin A
Plug all the values in above formula :
=> 46/Sin B = 44/Sin 9°
=> 46 × Sin9°/ 44 = Sin B
Sin B = 0.164
\(B = Sin^-^10.164\)
B = 9.555
Now, By angle sum of property of a triangle,
The sum of three angles of a triangle is 180°
So, Let's apply angle sum property to find angle C
=> ∠ A + ∠ B + ∠C = 180°
Put the value of B = 9.555 and angle A = 9°
=> 9° + 9.555 + ∠C = 180°
18.555 +∠C = 180°
∠C = 180°- 18.555
∠C = 161.4°
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Given the following historical data and weights of \( 0.5,0.3 \), and \( 0.2 \), what is the three-period moving average forecast for period 5 ? (ROUND ANSWER TO ONE DECIMAL POINT)
Given the historical data and weights of 0.5, 0.3, and 0.2, the three-period moving average forecast for period 5 is 63.0 (rounded to one decimal place). The three-period moving average is the average of the last three observations in the time series.
To calculate the three-period moving average, add the most recent three periods' values and then divide by three.To solve the problem, we have to follow the steps below;Given historical data is: 55, 60, 58, 65, 70The weights are 0.5, 0.3, and 0.2.
Compute the weighted average for the first 3 periods.(0.5 x 55) + (0.3 x 60) + (0.2 x 58) = 55.7 Compute the weighted average for the next 3 periods.(0.5 x 60) + (0.3 x 58) + (0.2 x 65) = 59.3 Compute the weighted average for the next 3 periods.(0.5 x 58) + (0.3 x 65) + (0.2 x 70) = 64.5 The three-period moving average forecast for period 5 is the weighted average of the last three periods.(0.5 x 65) + (0.3 x 70) + (0.2 x 64.5) = 63.0 The three-period moving average forecast for period 5 is 63.0 (rounded to one decimal place).
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7) What does a multiplier of \( 1.2 \) mean?
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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Make x the subject of the formula
m=x+y/n
HELPPP
Answer: x=m-y/n
Step-by-step explanation:
The expression with x as the subject is x = mn - y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
m = (x + y) / n
x as the subject means we have to solve for x.
Now,
m = (x + y) / n
Multiply both sides by n.
mn = x + y
Subtract y on both sides.
mn - y = x
x = mn - y
Thus,
x = mn - y.
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Pleassee helpp, find X.
x=37.5
if you need an explanation i can type it in the comments
Find the center of a circle with the equation:
x2+y2−32x−
Answer:
it would be 15
Step-by-step explanation:
because of how the x turns to the negiative 5 which means x2+yy2 is 15
LABEL YOUR ANSWERS PART A and PART B
A school cafeteria makes 4 different salads during the week but serves only 2 each day on a rotating basis. The 4 salads are listed below.
• Chicken (C)
• Fruit (F)
• Pasta (P)
• Tuna (T)
Part A: Use the letters C, F, P, and T to list all outcomes of 2 salads.
Part B: A student randomly chooses a day to buy a cafeteria salad without knowing which 2 salads are being served. What is the probability the student chooses a day the cafeteria is serving chicken salad, pasta salad, or both? Show your work or explain your thinking.
(sorry if this is confusing, but I really needed the answer!)
Answer:
A) CF CP CT FP FT PT
B) 5/6 or ~83.3%
Step-by-step explanation:
A) Each letter combination lists the outcomes of 2 salads. Order doesn't matter so CF and FC are the same thing and do not need to be listed twice.
B) Using Part A we know that there are 6 outcomes of 2 salads. 5 out of those 6 outcomes serve chicken, pasta or both. Only the day that serves both Fruit and Tuna is there an outcome that doesn't have Chicken and/or Pasta.
Completely factor 40^4 - 324.
Answer:
40^4 - 324 = 2,559,676
Step-by-step explanation:
First we need to factor the left side of the equation, which is 40 to the 4th power. 40*40*40*40 is 2,560,000, now we need to subtract 324 from it which is 2,559,676.
At a fire station in Redding, CA, false alarms are received at a mean rate of .1 per day. In a year, what is the probability that fewer than 25 false alarms are received
How it works:
mean,u= 0.3
days in a year = 365
For poison distribution mean=variance
u=0.3*365= 109.5
standard deviation=sqrt(variance)=sqrt ( 109.5)= 10.46422477
x= 80
x= [Use Continuity Corrector] 79.5
z-score = (X-μ)/σ=(79.5-109, 5)/10.4642= -2.87
Use Excel command "= norm distance (z)" 0.0021
Probability = number of paths to success. A total number of possible outcomes. For example, the probability of flipping a coin and getting heads is ½. This is because there is one way to get heads and the total number of possible outcomes is 2 (heads or tails). We write P(heads) = ½.
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Simplify.
(-2)^-3
A.) 8
B.) 1/8
C.) -8
D.) - 1/8
Answer:
D. -1/8
Step-by-step explanation:
4.
F. 49.9 ft2 G. 388.1 ft2 H. 428.1 ft2 I. 480.6 ft2
The 3 large categories of sedimentary environments are continental, marine, and transitional.
Continental environments are characterized by the deposition of sediments on the floor of the land. These environments include rivers, lakes, deserts, and sand dunes.
For instance, river environments contain the transportation of sediments by using flowing water and their deposition at the riverbed or floodplain. Lakes, then again, contains the deposition of exceptional-grained sediments in quiet waters, such as clay and silt, while coarse-grained sediments, inclusive of sand and gravel, are deposited in deltaic regions.
Marine environments are those in which sediments are deposited in oceans, seas, and other saline bodies of water. These environments consist of continental cabinets, abyssal plains, and coral reefs.
For example, the continental shelf surroundings are characterized by the buildup of sediments at the shallow ocean floor adjoining the continents. The sediments here are commonly coarse-grained and are transported to the region via rivers, currents, and waves.
Transitional environments are the ones in which sediments are deposited on the interface between marine and continental environments. Those environments consist of deltas, beaches, and estuaries.
As an example, delta surroundings involve the deposition of sediments at the mouth of a river as it enters the sea.
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Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. S™ ⁹x: 9x sin²(x) dx, M4 = Submit Answer n = 4 View Previou Hom
The given integral is:
S™ ⁹x: 9x sin²(x) dx
To use the Midpoint Rule with the given value of n to approximate the integral, we need to perform the following steps:
First, we have to find the width of each subinterval, which is given by:
Δx = (b - a)/n
where 'b' is the upper limit of integration and 'a' is the lower limit of integration.
Substituting the given values, we get:
Δx = (π/2 - 0)/4
= π/8
Next, we have to find the midpoint of each subinterval, which is given by:
xᵢ = a + (i - 1/2)Δx
where 'i' is the number of the subinterval.
Substituting the given values, we get the following midpoints:
x₁ = 0 + (1 - 1/2)
Δx = π/16
x₂ = 0 + (2 - 1/2)
Δx = 3π/16
x₃ = 0 + (3 - 1/2)
Δx = 5π/16
x₄ = 0 + (4 - 1/2)
Δx = 7π/16
Next, we have to evaluate the function at each midpoint, which is given by:
f(xᵢ) = 9xᵢ sin²(xᵢ)
Substituting the midpoints, we get the following values:
f(π/16) ≈ 0.1468f(3π/16)
≈ 1.0595f(5π/16)
≈ 2.9305f(7π/16)
≈ 3.6867
Finally, we can approximate the integral using the Midpoint Rule, which is given by:
∫[a, b] f(x) dx ≈ Δx [f(x₁) + f(x₂) + ... + f(xₙ)]
Substituting the values, we get:
∫[0, π/2] 9x sin²(x) dx ≈ Δx [f(π/16) + f(3π/16) + f(5π/16) + f(7π/16)]
≈ (π/8) [0.1468 + 1.0595 + 2.9305 + 3.6867]
≈ 1.9123
Rounded to four decimal places, the approximation is 1.9123.
Therefore, the correct answer is 1.9123.
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A customer buys a table on hire purchase. He makes a deposit of $306 and pays 6 monthly instalments of $60 each. The total cost to the customer is
A) $360
B) $366
C) $666
D) $966
Answer:
c = $666
Step-by-step explanation:
he already paid $306 then pays $60 for 6 months which is $360
so $360 + $306 is $666 which is c
explain what information you can obtain from the regression line or how the regression line might be useful.
The regression line is a statistical tool that can be used to analyze the relationship between two variables.
It helps identify trends in the data and can be used to make predictions about future values. It can also be used to assess the accuracy of the model and to determine the strength of the relationship between the two variables.
By examining the slope of the regression line, we can assess the direction and strength of the linear relationship between the two variables.
Additionally, the y-intercept of the regression line can provide insight into the value of the dependent variable when the independent variable is equal to zero.
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Please help me quickly i am in class
1. A graph of two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle is shown below.
2. The three pair of corresponding angles and sets of proportionate sides include:
ΔACE ≅ ΔBDF, ΔAEC ≅ ΔBFD, and ΔCAE ≅ ΔDBF.
AC = BD, EC = FD, and AE = BF
3. Yes, the slope of line is the same between any two points on the line.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Part 1.
In this exercise, we would use an online graphing tool to create two similar, but not equal, right triangles by using line segments AB as the hypotenuse of each triangle.
Part 2.
Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent (similar) triangles and sets of proportionate sides:
ΔACE ≅ ΔBDFΔAEC ≅ ΔBFDΔCAE ≅ ΔDBF.AC = BDEC = FDAE = BFPart 3.
In Mathematics and Geometry, the slope of any straight line can be determined by using this formula;
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope AC = (0 + 1)/(-3 + 5)
Slope AC = 1/2.
Slope BD = (3.5 - 2)/(4 - 1)
Slope BD = 1/2.
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There are 10 cards placed face down on a table. Four of the cards have stars on them and the other 6 are blank. You win if you draw a card with a star. How can the game be made fair?
YOU CAN PICK MORE THAN 1
HURRY
1. The game is already fair.
2. Add 2 cards with stars.
3. Add a star to 1 of the blank cards.
4. Take away 2 blank cards.
The thing that should be done for the game to be fair is 2. Add 2 cards with stars.
How to make the game fair?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.
Since Four of the cards have stars on them and the other 6 are blank and you win if you draw a card with a star, it's important to add 2 cards with stars.
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first interpret the slope. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.
The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.
The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.
There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.
In other words, there is a direct relationship between the two variables.
Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.
This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.
If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.
However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.
A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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