Angle 0 corresponds to a point (x,y) on the unit circle in quadrant 1. Which quadrant does 0+pi lie in?
Answer: Quadrant 3
============================================================
Explanation:
pi radians = 180 degrees
If angle \(\theta\) (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.
Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.
Joe drove 315 miles on 15 gallons of gas. What is his mileage in miles/gallon?
miles/gallon
Answer:
21 miles/gallon
Step-by-step explanation:
To find his mileage in miles/gallon, divide the number of miles by the number of gallons.
315/15
= 21
= 21 miles/gallon
Answer:
21 miles / gallon
Step-by-step explanation:
Take the miles and divide by the gallons
315 miles / 15 gallons
21 miles / gallon
Why do we choose 5% as a risk of making error and not 1%
In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
To learn more about : probability
https://brainly.com/question/251701
#SPJ8
Please help
Which poly nominal has the zeros 1,-2i and 3
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
To know more about Polynomial visit:
brainly.com/question/11536910
#SPJ1
Which equation is true?
107 = 10,000,000
106 = 10,000 × 10
105 = 10 × 1,000
104 = 1,000
perpendicular to 8x - 2y = 5.
Step-by-step explanation:
First consider the given line 8x = 2y - 5. This can be rewritten as
2y = 8x + 5
y = (8x + 5)/2 = 4x + 2.5
The line is y = 4x + 2.5. This is of the form y = mx + b.
On comparing, we see that the slope of the given line is m = 4
Now, we require to find the slope of a line perpendicular to this. Let its slope be m'.
We know that for two lines to be perpendicular, the product of the slopes = -1
So, m * m' = -1
4 * m' = -1
m' = -1/4
Answer: Slope of the perpendicular line is -1/4.
The formula I = PRT where I = Interest, P = Principal, R = rate, and T = Time is used to calculate the amount of simple interest earned, solve this formula for T
I = PRT
Divide both sides by PR
I/(PR) = T
example of an irrational number between 5 and 6. thank you :)
Answer: 25 and 30 is an example... hope this helped. If you have any more question lmk
Answer please :) Thank you
C is the correct option ...........
Answer:
-12-n
Step-by-step explanation:
(6+n)(−2)
=(6+n)(−2)
=(6)(−2)+(n)(−2)
=−12−2n
=−2n−12
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
Learn more about ratio here:
https://brainly.com/question/2328454
#SPJ1
How many degrees are there in 5/8 of a circle
Answer:
Step-by-step explanation:
First the max degree is 360
Then multiply by 5/8
360 x 5/8 = 1800/8
1800/8 = 225
Answer: 225
A sum of money is to be divided among Anthea, Barry and Carol in the ratio 2:5:1
respectively. If Barry got $200 more than Carol, calculate:
The sum of money?
Answer:
$400
Step-by-step explanation:
Lets money that Anthea got be 2x
than Barry's money be 5x and Carol's be x
Barry got $200 more than Carol
This means that 5x is 200 more than x
5x = x + 200
4x = 200
x = 50
The sum of money is 2x + 5x + x
so this is 8x
8x = 50 * 8 = 400
HELP PLEASEE!! The aquarium has 6 fewer yellow fish than green fish. 40% of the fish are yellow. How many green fish are in the aquarium? Show your work. Show all steps please.
Find the value of x in the figure.
DACBADWhat is the length of AB?Round to one decimal place,
Answer
AB = 6.3
Explanation
The similar angle shown for the two triangles indicates that both triangles are similar to each other.
Triangle ACD and Triangle ADB are simiar according to the Side-Angle-Side rule of congruence. Hence, we can see that
CD is similar to DB
AC is similar AB
We can write that
\(\frac{CD}{AC}=\frac{DB}{AB}\)CD = 2.5
AC = 5.8
DB = 2.7
AB = ?
\(\begin{gathered} \frac{2.5}{5.8}=\frac{2.7}{AB} \\ \text{Cross multiply} \\ 2.5\times AB=2.7\times5.8 \\ \text{Divide both sides by 2.5} \\ \frac{2.5\times AB}{2.5}=\frac{2.7\times5.8}{2.5} \\ AB=6.264 \end{gathered}\)AB = 6.264 = 6.3 to one decimal place.
Hope this Helps!!!
how many fourths in 1/4
Answer:
1
Step-by-step explanation:
a fourth is 1/4 meaning Fourth = 1/4
Lin’s Father is paying for $50 meal. He has a $15 percent off coupon for the meal. What is the price of a discounted meal before the tax?
Note: Here tax rate is note given. Consider the tax is not applied.
Given:
Lin’s Father is paying for $50 meal.
Discount = 15%
To find:
The price of a discounted meal before the tax.
Solution:
Let x be the price of a discounted meal before the tax.
According to the question,
Price of meal after discount = Price of meal before discount - Discount
\(50=x-\dfrac{15}{100}\times x\)
\(50=x-0.15x\)
\(50=0.85x\)
Divide both sides by 0.85.
\(\dfrac{50}{0.85}=x\)
\(58.823529=x\)
\(x\approx 58.824\)
Therefore, the price of a discounted meal before the tax is $58.824.
Which sum is equal to the expression
-5x³+2x²+9x+2?
(x²+2)²
A. A + Bx+C
x²+2 (x²+2)²
B. A + Bx+C
(x²+2)²(x²+2)²
C. Ax+B + Cx + D
x²+2 (x²+2)²
D. Ax + B + Cx+D
(x²+2)² (x²+2)²
Answer is C
Answer:5x
3
+2x
2
+9x+2?×(x
2
+2)
2
Step-by-step explanation:
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm
long. How many centimeters long was the actual tank?
cm
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.
To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.
Let's denote the length of the actual tank as "x".
According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.
So, we can set up the following proportion:
1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)
Cross-multiplying and solving for x, we get:
x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm
The actual tank is 1620 cm long.
For more such questions on miniature model
https://brainly.com/question/14657504
#SPJ8
Can you help me Simplify this radical? Its for geometry studying.
Use the following property:
\(\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}\)Express:
\(\sqrt[]{68}\)as:
\(\sqrt[]{4\cdot17}\)so:
\(\sqrt[]{4\cdot17}=\sqrt[]{4}\cdot\sqrt[]{17}=2\sqrt[]{17}\)Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 83 Sophomores 68 Juniors 85 Seniors 64 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals a. 6.66. b. 1.66. c. .54. d. .65. Icon Key
Answer:
1.66
Step-by-step explanation:
Using the Chi square statistic (χ²) test :
χ² = Σ(Oi - Ei)² / Ei
Expected, Ei :
Freshmen = 30% * 300 = 90
Sophomore =24% * 300 = 72
Junior = 26% * 300 = 78
Senior = 20% * 300 = 60
Observed, Oi :
Freshmen = 83
Sophomore = 68
Junior = 85
Senior = 64
χ² = ((83 - 90)²/90) + ((68 - 72)²/72) + ((85 - 78)²/78) + (64 - 60)²/60)
χ² = 49/90 + 16/72 + 49/78 + 16/60
χ² = 0.544 + 0.222 + 0.628 + 0.267
χ² = 1.661
The test statistic = 1.66
Mrs. Young has p goats and q cows on his farm. He has 23 fewer cows than goats.
What are the missing values in the table?
PLSSSS QUICK
Step-by-step explanation:
35:12
40:17
45:22
50:27
55:32
DQ1: Consider the vertex matrix T in application 1 page 185. How can we extend this into 3 dimensional objects in space? Add a vector, or vectors to T and describe the object for which you have created vertices (i.e., a cube, a pyramid, etc.) What are the dimensions of your new matrix? What do the dimensions represent?
Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.
What is matrix?A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).
Here,
To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.
L(e1) = (1+0, 0+0) = (1, 0)
L(e2) = (0+1, 1+0) = (1, 1)
L(e3) = (0+0, 1+0) = (0, 1)
So we can write:
L(x) = L(x1 e1 + x2 e2 + x3 e3)
= x1 L(e1) + x2 L(e2) + x3 L(e3)
Now we can assemble the coefficients of this linear combination into a matrix A:
A= \(\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right]\)
To know more about matrix,
https://brainly.com/question/30389982
#SPJ1
Question 4 O Mark this question Megan was conducting a study to determine if there was a relationship between eating a whole foods diet and general overall health. For her study Megan's null hypothesis was that a whole foods diet would not have any impact on general health. Megan's alternate hypothesis was that eating a whole foods diet would cause improvements in health. If Megan completed her study, which of the following statements would indicate a Type I error? Megan's results show that a whole foods
Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."
A Type I error occurs when the null hypothesis is rejected, even though it is true.
In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.
Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.
This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.
So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."
To learn more on Null hypothesis click:
https://brainly.com/question/30821298
#SPJ1
In the equation (x-3)²+(y-2)2=16, the radius of the circle is...
16
3
32
4
Step-by-step explanation:
This is of the form
(x-h)^2 + ( y-k)^2 = r^2 so r^2 = 16 means r = 4 units
Tony paid $2 fee to start the scooter plus 12 cents per mintue the bill was 23.72 For how many minutes did Tony ride the scooter?
Tony rode the scooter for approximately 181 minutes by using the method of substitution and subtraction.
What is the method of substitution?The method of substitution is a technique used in algebra to solve systems of equations. The basic idea of the method is to solve one equation for one variable in terms of the other variable(s), and then substitute that expression into the other equation(s) to eliminate that variable.
Let's call the number of minutes that Tony rode the scooter "m".
According to the problem, Tony paid a $2 fee to start the scooter, so that means the cost of the ride without counting the minutes is $2.
In addition to that, he was charged 12 cents per minute, which is equivalent to $0.12 per minute. Therefore, the total cost of the ride can be expressed as:
Total cost = $2 + $0.12 × m
We know from the problem that the total cost of the ride was $23.72, so we can set up an equation:
$23.72 = $2 + $0.12 × m
Simplifying this equation, we get:
$21.72 = $0.12 × m
Dividing both sides by $0.12, we get:
m = 181
Therefore, Tony rode the scooter for 181 minutes.
To know more about the method of substitution visit:
https://brainly.com/question/15522128
#SPJ1
ƒ(t) = –1∕2t2 + 2t + 6
This function represents a downward-opening parabola with a vertical shift of 6 units upward.
How to explain the functionThe given function is Ƒ(t) = –1/(2t²) + 2t + 6.
This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.
Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.
So, the function Ƒ(t) can be written as:
Ƒ(t) = (-1/2)t² + 2t + 6
This function represents a downward-opening parabola with a vertical shift of 6 units upward.
Learn more about functions on
https://brainly.com/question/11624077
#SPJ1
PLEASE HELP QUICKLY!
Which table shows a proportional relationship between x and y?
A. x y
1 2
2 4
3 8
B.x y
0 0
1 1
2 4
C. x y
0 4
1 8
2 12
D. x y
1 4
2 8
3 12
Answer:
the answer should be d
Step-by-step explanation:
1 x 4 =4
2 x 4 =8
3 x 4 =12
Michelle has 15 cups of flour in a container. She uses 24 cups of flour to make a loaf of bread. How much flour
does Michelle have left in the container?
HELP pls I’m in a test and i don’t wanna fail pls
either -9 cups or none
Directions: Match each image of a ray with the correct way to write it.
Answer:
1 + G = Push in p To Much P
Step-by-step explanation:
g= gunnaaa 1+gunnaaa = push ing P