The most likely production for a rainfall of 40 mm is 56.4 quintals.
How to determine the production that correspond to the rainfallFrom the question, we have the following parameters that can be used in our computation:
Rainfall (mm) Production (quintals)
Mean 35 50
S.D 5 8
Coefficient of correlation = 0.8
First, we need to calculate the regression equation, which is:
y = a + bx
Where
y is the predicted value of production x is the rainfalla is the interceptb is the slope of the regression line.To calculate the intercept and slope, we use the following formulas:
b = r * (SDy / SDx)
a = Ymean - b * Xmean
Plugging in the given values, we get:
b = 0.8 * (8 / 5) = 1.28
a = 50 - 1.28 * 35 = 5.2
Therefore, the regression equation is:
Y = 5.2 + 1.28x
To find the most likely production for a rainfall of 40 mm, we plug in x = 40 into the regression equation:
Y = 5.2 + 1.28 * 40
Y = 56.4
Hence, the most likely production is 56.4 quintals.
Read more about linear relation at
https://brainly.com/question/10209928
#SPJ1
What's the difference between right circular cylinder and cylinder?
The difference between a right circular cylinder and a cylinder is that a right circular cylinder has a circular base and is perpendicular to the base, whereas a cylinder can have any shaped base and the sides do not have to be perpendicular to the base.
A right circular cylinder has a circular base and its sides are perpendicular to the base, forming a right angle. This means that the axis of the cylinder is at a right angle to the base.
On the other hand, a cylinder can have any shaped base, such as a rectangle or an ellipse, and the sides do not have to be perpendicular to the base. This means that the axis of the cylinder can be at any angle to the base.
In summary, the main difference between a right circular cylinder and a cylinder is the shape of the base and the angle of the sides to the base. A right circular cylinder has a circular base and perpendicular sides, while a cylinder can have any shaped base and the sides can be at any angle to the base.
Learn more right circular cylinder here:
https://brainly.com/question/30517598
#SPJ11
Y^2 + 6y+8 when y is -3
I NEED HELP ASAP!!!
Answer:
A. B is correct
B. A is correct
C. B is correct
Step-by-step explanation:
Area of triangle: A = 1/2bh
A. Area of each triangle: A = 1/2 x 11.5 x 12 = 69
Total surface areas = 4(area of triangle) + area of square = 4(69) + 12^2 = 420
So A is incorrect and B is correct
B. Area of triangle: A = 1/2 x 13.9 x 16 = 111.2
Surface area = 4(area of triangle) = 4(111.2) = 444.8
So A is correct and B is incorrect
C. Area of triangle with base of 10: A = 1/2 x 10 x 7 = 35
Area of triangle with base of 8.1: A = 1/2 x 8.1 x 16 = 64.8
Total surface areas = 2(area of triangle base of 10) + 2(area of triangle base of 8.1) + area of rectangle = 2(35) + 2(64.8) + (10x8.1) = 280.6
So A is incorrect and B is correct.
The process standard deviation is 0. 15, and the process control is set at plus or minus one standard deviation. Units with weights less than 9. 85 or greater than 10. 15 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number.
The probability of a defect units is 0.3174 by calculating the z-score of the greater than and less than value.
When the distribution is normal, we use the z-score formula.
Z = (X - μ)/σ
We have σ = 0.15 and units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects.
μ = 10.15 - 0.15 = 9.85 + 0.15 = 10
Now, the probability that a unit is defective.
P(X ≥ 10.15)
1 subtracted by the pvalue of Z when X = 10.15
[tex]Z = \frac{10.15-10}{0.15}[/tex]
Z = 1 has a pvalue of 0.8413
1 - 0.8413 = 0.1587
P(X ≤ 9.85)
[tex]Z = \frac{9.85-10}{0.15}[/tex]
Z = -1 has a pvalue of 0.1587
P = P(X ≥ 10.15) + P(X ≤ 9.85)
P = 0.1587 + 0.1587
P = 0.3174
To know more about probability
https://brainly.com/question/14762333
#SPJ4
I need help from anyone!
Answer:
h = 10.0708 cm
Area of shaded region = 8.1841 [tex]cm^{2}[/tex]
Step-by-step explanation:
r = radius of circle
= 14 cm
h = perpendicular height of triangle
Use SinФ trigonometric function to determine h
SinФ = [tex]\frac{Opposite}{Hypotenuse}[/tex]
Sin46° = [tex]\frac{h}{14}[/tex]
Cross-multiplication is applied:
∴h = (14)(Sin46°)
h = 10.0708 cm (Rounded to four decimal places)
Area of sector = [tex]\frac{AngleOfSector}{360^{o}}[/tex] × ([tex]\pi r^{2}[/tex])
= [tex]\frac{46}{360}[/tex] × [tex]\pi (14^{2})[/tex]
= [tex]\frac{9016}{360} \pi[/tex] [tex]cm^{2}[/tex]
= 78.68 [tex]cm^{2}[/tex]
Area of triangle = [tex]\frac{1}{2}[/tex] × (Base of triangle) × h
= [tex]\frac{1}{2}[/tex] × (14 cm) × [(14)(sin46°)]
= (98)(sin46°)
= 70.50 [tex]cm^{2}[/tex]
∴Area of yellow shaded region = Area of sector - Area of triangle
= {[[tex]\frac{9016}{360} \pi[/tex]] - [(98)(sin46°)]} [tex]cm^{2}[/tex]
= 8.1841 [tex]cm^{2}[/tex] (Rounded to four decimal places)
Solve. Please i need help with this.
The value of x and y in the equations are as follows:
x = -8
y = -1
How to solve system of equation?System of equation can be solved using different method such as elimination method, substitution method and graphical method. Therefore, let's use elimination method to solve the equation.
Therefore,
8x - 8y = -8
-3x + 4y = -4
multiply equation(ii) by 2
8x - 8y = -8
-6x + 8y = -8
add the equations
2x = -16
x = -16 / 2
x = -8
Let's find y
-8y = -8 - 8x
-8y = -8 - 8(-8)
-8y = -8 + 16
-8y = 8
y = 8 / -8
y = -1
learn more on system of equation here: https://brainly.com/question/21620502
#SPJ1
Alonso has x quarters and y dimes. He has no less than 18 coins worth a maximum of $3.60 combined. Solve this system of inequalities graphically and determine one possible solution.
Answer: A quarter is worth $0.25 and a dime is worth $0.10, so the total amount of money Alonso has can be represented by the expression 0.25x + 0.1y. To find one possible solution to the system of inequalities, we need to find the values of x and y that satisfy both the inequality 0.25x + 0.1y ≥ 3.60 and the inequality y ≥ 0.
The inequality 0.25x + 0.1y ≥ 3.60 represents all points (x, y) that are on or above the line 0.25x + 0.1y = 3.60. The inequality y ≥ 0 represents all points (x, y) that are above or on the x-axis. The intersection of these two regions is the solution set of the system of inequalities, which represents all points (x, y) that satisfy both inequalities.
To graph the solution set, we can start by plotting the line 0.25x + 0.1y = 3.60 and shading the region above the line. Then, we can plot the x-axis and shade the region above the x-axis. The intersection of the two shaded regions is the solution set.
One possible solution to the system of inequalities is the point (14, 4). This means that Alonso has 14 quarters and 4 dimes, which total $3.60. However, there may be other solutions to the system of inequalities that would also satisfy the conditions.
Step-by-step explanation:
What is expression mean in math?
Answer: a type of equation
Step-by-step explanation:
ASAP need help with this question
answer: 204!!!
tn = a + (n-1)d
a is the first value
n is the position
d is the difference
t(50) = 8+(50-1)(4)
t(50)= 204
9/16 divided by 7/ 10
Answer: 15/7
Step-by-step explanation:
9/16 / 7/10 = 9/6 * 10/7 multiply by recipricol to find answer
90/42
15/7 simplify
A rectangle is twice as long as it is wide. If the width is w, the length is 2w. The area of the rectangle can be found using the expression 2w to the power of 2
If the rectangle is 10 centimeters wide, what is its area in square centimeters?
The area of the rectangle is 200 square centimeters
Area of rectangleThe area of a rectangle can be found by multiplying its length and width. In this case, the width is given as w and the length is given as 2w.
Therefore, the area of the rectangle can be found using the expression 2w^2.
If the width of the rectangle is 10 centimeters, we can substitute this value into the expression for the area to find the area in square centimeters.
Area = 2w^2
= 2(10)^2
= 2(100)
= 200 square centimeters
Therefore, the area of the rectangle is 200 square centimeters
Learn more about rectangle at https://brainly.com/question/28993977
#SPJ11
Review the graph of a piece wise function.
At which value of x does the function have a jump discontinuity?
Given piecewise function has a jump discontinuity at 0 or x=0 i.e. B.
What exactly is a piecewise function?
A piecewise function is one that has multiple definitions in different x intervals. A piecewise function's graph is divided into parts that correspond to each of its definitions. A very excellent example of a piecewise function is the absolute value function. Let us investigate why it is thus named. We know that an absolute value function is defined as f(x) = |x|.
f(x)=(x if x≥0 ,
-x if x><0)
This piecewise function should be interpreted as
When x is higher than or equal to 0, f(x) equals x.
When x is less than zero, f(x) equals -x.
Now,
As jump discontinuity is defined as where the endpoint of one segment and the start of the following segment may have the same x coordinate but have different values of f(x). In the piecewise linear function, such a difference is known as a jump discontinuity.
and in the given graph that happened at x=0 or 0.
Hence,
Given piecewise function has a jump discontinuity at 0.
To know more about piecewise function visit the link
https://brainly.com/question/12561612?referrer=searchResults
#SPJ1
Leah measured a line to be 2.1 inches long. If the actual length of the line is 2.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
Step-by-step explanation:
divide the required value by the total value and multiply by 100.
a/bx100= y
2.2 - 2.1 =0.1 inches
percentage of error=
0.1 / 2.2 x100
4.54 %
Classify each polynomial by degree and number of terms -4
Based on degree, polynomials can be classified as follows:
Constant: A polynomial of degree 0, with a single term containing only a constant coefficient.Linear: degree 1, with two terms, one of which is a variable raised to the first power.Quadratic: A polynomial of degree 2, with three terms, one of which is a variable raised to the second power.Then for number of terms, there are monomials with a single term, binomials with two terms, trinomials with three terms and multinomials with more than three terms.
Find out more on classification of polynomials at https://brainly.com/question/24290590
#SPJ1
Estimate the product by rounding each number to the nearest 10 88 x 304
After rounding off the numbers product of the given numbers is 27000.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given number are 88 and 304.
Rounding each number to the nearest 10
That is, 88 to 90 and 304 to 300
Now, 88×304 can be written as
90×300
= 27000
Therefore, after rounding off the numbers product of the given numbers is 27000.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
#SPJ9
MTR
728. MODELING REAL LIFE Find the height of the roller
coaster using two different methods. Explain.
x ft
45°
283 ft
The height of the roller coaster is 200.11 feet
How to determine the height of the roller coasterMethod 1
Here, we make use of the cosine rule
So, we have
cos(45) = x/283
So, we have
x = 283 * cos(45)
Evaluate
x = 200.11
Method 2
Here, we make use of the sine rule
The sine can be calculated as
When x + y = 90;
sin(x) = cos(y)
This means that
sin(45) = cos(45)
So, we have
sin(45) = x/283
So, we have
x = 283 * sin(45)
Evaluate
x = 200.11
Hence, the height is 200.11 feet
Read more about trigonometry at
https://brainly.com/question/24349828
#SPJ1
In ΔXYZ, ∠X=17° and ∠Y=82°. ∠XWZ=90° and XY=700. Find the length of XW to the nearest integer.
The length of XW from the given triangle XYZ is 671.16 units.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c
Given that, in ΔXYZ, ∠X=17° and ∠Y=82°. ∠XWZ=90° and XY=700.
By using angle sum property,
∠X+∠Y+∠Z=180°
17°+82°+∠Z=180°
99°+∠Z=180°
∠Z=180°-99°
∠Z=81°
Now, YZ/sinX=XZ/sinY=XY/sinZ
YZ/sin17°=XZ/sin82°=700/sin81°
XZ/0.9902=700/0.9876
XZ/0.9902=708.78
XZ=701.83
Now, cos17°=XW/701.83
0.9563=XW/701.83
XW=0.9563×701.83
XW=671.16
Therefore, the length of XW is 671.16 units.
Learn more about the sine rule here:
https://brainly.com/question/22288720.
#SPJ9
Answer:671
Step-by-step explanation:
Jon tossed a standard die several times. He got the number "4" on 5 of the tosses. Based on theoretical probabilities, what is the best estimate of the total number of times he tossed the cube? A) 20 times B) 60 times C) 30 times D) 10 times
Based on theoretical probabilities, the best estimate of the total number of times Jon tossed the cube would be 60 times. The probability of rolling a "4" on a standard die is 1/6. If Jon got "4" on 5 of the tosses, then the total number of tosses would be 5/ (1/6) = 30 tosses. To find the best estimate of the total number of tosses, it is common to round up to the nearest multiple of 10, which in this case would be 60. Therefore, the best estimate would be 60 times (Option B).
4. If m/3 = 54°, find the measure of each missing angle.
a. m<1=
b. m<2=
c. m<4=
d. m<5=
e. m<6=
f. m<7=
g. m<8=
h. m<9=
i. m<10=
j. m<11 =
k. m<12 =
l. m<13 =
m. m<14 =
Note that if m/3 = 54°, then the measure of each missing angle are given as follows:
a. m<1= 36°
b. m<2= 90°
c. m<4= 36°
d. m<5= 90°
e. m<6= 45°
f. m<7= 126°
g. m<8= 54°
h. m<9= 126°
i. m<10= 45°
j. m<11 = 36°
k. m<12 = 144°
l. m<13 = 36°
m. m<14 = 144°
What is the rationale for the above response?We are given three clues from which we solve the missing angles.
Clue 1: m∠3 given as 54°
Clue 2: m∠ 2 given as 90°
The two lines that (are now labeled AB and CD are parallel to one another. Thus:
a) ∠1, ∠2, and ∠3 are complimentary, ∠1 = 180 - (90+54) = 36°
b) ∠2 = 90° (given)
c) ∠4 = 36° (Opposite angles) ∠1 ≅ ∠4
d) ∠5 =90° (Opposite angles) ∠2 ≅ ∠5
e) ∠6 = 54° (Opposite angles) ∠13≅ ∠6
f) ∠7 = ∠1+∠2 (since Line EF is perpendicular to GH, (∠1+∠2) are corresponding angles to ∠7
g) ∠8 = 54° (∠3 and ∠8 are corresponding angles)
h) ∠9 = 126° (∠9 corresponds to ∠5 and ∠4; an alternate explanation is the angle on straight line (∠8 and ∠9) (180-54 = 126°)
i) ∠10 = 54° (∠6 and ∠10 are corresponding angles)
j) ∠11 = 36° (∠11 and ∠1 are corresponding angles)
k) ∠12 = 144° (∠12 corresponds to (∠2+∠3)
l) ∠13 = 36° ( ∠12 and ∠13 are supplementary angles)
m) ∠14 = 144° (∠12 and ∠14 are opposite angles)
Learn more about angles:
https://brainly.com/question/29796185
#SPJ1
Twelve miles is approximately equal to 6 km. How many km are equal to 18 miles? How many miles are
equal to 42 km? Draw a tape diagram below to solve.
Answer:
below
Step-by-step explanation:
12m=6km
divide both by 6
2m=1km
how many km is equal to 18m?
18m=9km
how many m are equal to 42km?
42km=64m
never gonna give you up, never gonna let you down
SIMPLIFY THE MONOMIAL. YOUR ANSWER SHOULD CONTAIN POSITIVE EXPONENTS ONLY.
Based on the information, the equation can be simplified as follows: 7xy - 2x² - y
How do you simplify an equation?To simplify an equation we must carefully observe all the values that make up the equation. Once we identify the values with the same symbols, (x or y) we can group them. According to this procedure we can group the values of x as shown below:
7xy - 2x² - andIn this case the 2x was added with the 5x to form the 7x. In the case of 2x², it cannot be added with the other values of x because it has an exponent of ².
Learn more about equations in: https://brainly.com/question/29657983
#SPJ1
Help please…………………………………..
Answer:
-4
Step-by-step explanation:
I hate calc nevertheless, factor the top number, cancel out x+2 and then plug in -2. Its simple once you see the pattern
[tex]\frac{x^2 - 4}{x+2} \\\frac{(x+2)(x-2)}{x+2} \\(x-2)\\-2-2\\-4[/tex]
A triangle has side lengths measuring 2x + 2 ft, x + 3 ft,
and n ft.
Mark this and return
Which expression represents the possible values of n,
in feet? Express your answer in simplest terms.
O x-1
On = 3x + 5
On=x-1
O 3x+5
Save and Exit
Next
Submit
The possible value of n in the triangle given is, n < 3x+5
What is a triangle?The triangle is a polygon with three side, vertex, and angles.
Given that, a triangle has side lengths measuring 2x + 2 ft, x + 3 ft,
and n ft.
We asked to find the expression that represents the possible values of n.
We know that,
The sides of a triangle rule assert that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
Therefore,
2x+2+x+3 = 3x+5
Thus, the possible value of n is,
n < 3x+5
Hence, the possible value of n in the triangle given is, n < 3x+5
Learn more about triangles, click;
https://brainly.com/question/2773823
#SPJ9
Solve for x please help show proofs
The value of x from the right triangle is x = 3√11
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔDBC
Now , BD is perpendicular to AC
So , the triangles ΔABC and ΔDBC are similar
The measure of BD = x
The measure of AD = 9
The measure of DC = 20
Now , AD / AB = AB / DC
Substituting the values in the equation , we get
9/a = a/20
On simplifying the equation , we get
a² = 180
So , a = 3√20
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Now , the measure of x = √ ( 3√20 )² - ( 9 )²
So , the measure of x = √ ( ( 180 ) - 81 )
The measure of x = √ 99
The measure of x = 3√11
Hence , the measure of x of triangle is 3√11
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ1
Sample response: Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them. Which did you include in your answer? Check all that apply
Based on the information, the integer used will be (10 - 4). The difference is 6.
On a number line, there'll be 6 units between the numbers
How to explain the informationTo find the difference between two integers by adding the additive inverse, we can follow these steps:
Subtract the smaller integer from the larger one: (larger integer) - (smaller integer).
Take the absolute value of the result to get the distance between the two integers on a number line.
The distance between two integers is the absolute value of the difference, so we do not include the sign in our answer. The answer will always be a non-negative number.
By plotting the two integers on a number line and counting the units between them, we can visualize the distance between them.
Learn more about integer on:
https://brainly.com/question/929808
#SPJ1
PLEASE ANSWER ASAP I need help
Answer:
6
Step-by-step explanation:
F = 4 x 6 / 2^2
= 6
26. Which function is increasing and decreasing over the same intervals as the function in the graph?
Answer:
B.y=(x+2)
Step-by-step explanation
Truman's father is designing a toy car ramp for him. His dad determined that the measure of angle x needs to be increased by 200 .
What is the measure of the new angle?
__ °
The measure of angle x needs to be increased by 200, the new angle would be the original measure of angle x plus 200 degrees.
What is the angle measurement?
A radian is the length of an arc formed by an angle that, when shown as a central angle, equals the length of the circle's radius.
If the measure of angle x needs to be increased by 200, we can simply add 200 to the original measure of angle x to find the new angle.
So, if the original measure of angle x is, for example, 30 degrees, the new angle would be:
New angle = 30 degrees + 200 degrees
New angle = 230 degrees
Therefore, if the measure of angle x needs to be increased by 200, the new angle would be the original measure of angle x plus 200 degrees.
To know more about angle measurement visit,
https://brainly.com/question/25716982
#SPJ1
Use the drawing tool(s) to form the correct answer on the provided graph.
Draw the resulting image after the given triangle is rotated 90° counterclockwise about the origin.
Drawing Tools
Select
Point
Line Segment
Click on a tool to begin drawing
Reset
<+
Delete Undo
10
A graph of the resulting image after the given triangle is rotated 90° counterclockwise about the origin is shown in the image below.
What is a rotation?In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise to the vertices of triangle ABC, the coordinates of the vertices of the image are as follows:
(x, y) → (-y, x)
Ordered pair A = (-5, 7) → Ordered pair A' = (-(7), -5) = (-7, -5).
Ordered pair B = (-8, 3) → Ordered pair B' = (-(3), -8) = (-3, -8).
Ordered pair C = (-2, 6) → Ordered pair C' = (-(6), -2) = (-6, -2).
Read more on rotation here: brainly.com/question/28854313
#SPJ1
A 2-column table with 5 rows. The first column, number of snapdragons, x, has the entries 11, 12, 13, 14. The second column, number of daisies, y, has the entries 34, 33, 32, 31.
Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant?
The equation
models the scenario.
Hans will plant
snapdragons.