If the test gives positive results for 95% of those having disease and correctly gives negative results for 90% of those who don't have disease and the incidence of the disease is 1% then the chance of having disease is 0.0105.
Given that a test for a disease correctly gives positive results for 95% of those having the disease and correctly gives negative results for 90% of those who don't have the disease.
We have to calculate the chance of having disease.
Probability that test is correct in determining the disease when person is suffering from it is 0.95.
Probability that test is not correct in determining the disease when person is suffering from it is 1-0.95=0.05.
Probability that test is correct in determining that the person is not suffering from disease when person is not suffering from it is 0.90.
Probability that test is not correct in determining that the person is not suffering from disease when person is not suffering from it is 1-0.9=0.10.
The chance of having disease is equal to incidence of disease multiplied by probabilities that the test has corectly determined disease when personis suffering from it and when test is not able to determine the disease when person is suffering from it.
Chance=0.01*0.95+0.01*0.10
=0.0095+0.001
=0.0105.
Hence the chance of having disease is 0.0105.
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What quadrant is 0degrees?
0 degrees is located in Quadrant I of the Coordinate Plane.
Quadrant I is the top right section of the coordinate plane, and it contains all the points where the x-coordinate and y-coordinate are positive. 0 degrees is the angle formed by the positive x-axis, and it is located in Quadrant I.
A coordinate plane is divided into four sections called quadrants, which are numbered I, II, III, and IV in a counterclockwise direction, starting with the top right.
This quadrant is defined by angles between 0 and 90 degrees and is generally associated with positive values on both the x- and y-axes.
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Why do people say geometry is hard?
Due to the lack of spatial thinking instruction in most math classes, people say geometry is hard. People should acquire geometrical ideas easily instead.
Who named geometry?The father of geometry, Euclid was a brilliant mathematician. The terms "ge" and "metria," which both imply "measuring," are the origins of geometry. For more than 2000 years, the Greeks' method of approaching geometry has served as the foundation for geometry.
The study of various mathematical or actual-world forms, figures, and sizes is known as Geometry. We learn about various angles, transformations, and similarities between the forms in geometry. The point, line, and plane are the main building blocks of geometry.
Everyone finds it difficult to dive into the issue of proofs. Children must realize that this issue affects everyone, even the mathematically skilled. Because they have trouble seeing how 3D, and 2D, forms, angles, and lines connect from various viewpoints, most youngsters struggle with geometry issues. Even kids who are really good at solving sum problems in math might be utterly stumped by this.
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Due to the lack of spatial thinking instruction in most math classes, people say geometry is hard. People should acquire geometrical ideas easily instead.
Who named geometry?Euclid, the inventor of geometry, was a master mathematician. The words "ge" and "metria," both of which denote "measuring," are where geometry got its start. The way the Greeks approached geometry has been the basis for geometry for more than 2000 years.
Geometry is the study of different mathematical or real-world shapes, sizes, and figures. Geometry teaches us about numerous angles, transformations, and similarities among forms. The primary components of geometry are the point, line, and plane.
Everyone finds it challenging to explore the topic of proofs. Children need to understand that this problem impacts everyone, even those who are good at arithmetic. Most kids have problems with geometry because they have trouble recognizing how 3D and 2D shapes, angles, and lines link from different views. Even children who excel at math sum problems may be completely baffled by this.
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Write a function in terms of $t$ that represents the situation.
Sales of $10,000 increase by 65% each year.
A function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.
What is function?An element of one non-empty set and an element of another non-empty set are said to have a special relationship when they are connected by a function in mathematics.
An assignment of an element from set Y to each element of set X, where set X is the domain and set Y is the codomain, is what is meant when a function is applied from a set X to a set Y.
We have given that f(t) is given by the Sales of $10,000 increase by 65% each year, i.e.
As sales of $10,000 increase by 65% each year.
The situation is represented by an exponential growth function.
The initial amount a = 10,000
The rate of growth r = 65% = 0.65
Therefore, the function will be:
t = a(1 + r)ⁿ
Where,
t represents the final amount.
a represents the initial amount
r represents the rate of growth
1+r represents the growth factor
n represents the time.
⇒ t = a(1 + r)ⁿ
⇒ t = 10,000(1 + 0.65)ⁿ
⇒ t = 10,000(1.65)ⁿ
Thus, a function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.
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What 2 - 3
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You want to know how long the road marked x is and you know the lengths of the other two roads that form a right angle with the road, has the measurements to find the length marked x
Select all statements that are TRUE about the graph.
A.) The pre-image is in quadrant III.
B.) The orientation of the vertices changed.
C.) The reflection can be represented by (-x, y).
D.) The line of reflection is the x-axis.
E.) The pre-image and image are congruent
HELP ASAPP
The true statements are,
A.) The pre-image is in quadrant III.
B.) The orientation of the vertices changed.
D.) The line of reflection is the x-axis.
What is orientation of the vertices?It is determined by the order in which a figure's vertices are labeled. It refers to the sequence of points after a transformation has been applied to a geometric figure. The order may be clockwise or counterclockwise.
Here, we have,
from the given figure ,we get,
the true statements are,
A.) The pre-image is in quadrant III.
B.) The orientation of the vertices changed.
D.) The line of reflection is the x-axis.
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Lana want to encloe a garden plot each ide of the garden will be 9 feet what i the area of the garden
The area of the garden is 81 square feet (9 x 9).
Since each side of the garden plot is 9 feet, then the area of the garden plot can be calculated by multiplying 9 feet by 9 feet, which is equal to 81 square feet.
To calculate the area of the garden plot, we need to know the length and width of the plot. Since the length and width of the garden plot is both 9 feet, then the area of the garden plot can be calculated by multiplying the length and width together. 9 feet multiplied by 9 feet is equal to 81 square feet, which is the area of the garden plot.
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What is a 4 polygon?
A 4 polygon is a two-dimensional shape with four sides and four angles.
What is polygon?Polygon is a closed figure in a plane made up of straight lines or curved lines that intersect in pairs. A polygon has at least three sides and angles. The sides can be of any length and the angles can be of any measure. Polygons are classified according to the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), etc. Polygons are used in many fields, from mathematics to engineering.
It is a type of quadrilateral, which is a polygon with four sides. Examples of 4 polygons include squares, rectangles, rhombuses, and trapezoids. All 4 polygons have four sides of equal length, and all their interior angles add up to 360 degrees.
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how to graph y=-2/3x-5
-2x+3y=-15
By plotting the given points (0,-5) , (1,-17/3 ) for y=-2/3x-5 and the points for-2x+3y=-15 are (0,-5) , (1,-13/3) and (2,-11/3) we get the required graph.
What is linear equation ?
Linear equation can be defined as the equation in which highest degree is one.
Given Equation,
y=-2/3x-5 and -2x+3y=-15
So,
use the slope form is
y= mx+b , where m is slope and b is the y-intercept.
find the valued of m an b using the form y = mx+b
m = -2/3 and b=-5
The slope of line is the value of m and y-intercept the value of b
slope = -2/3
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding 2y values.
create a table for x and y values.
x y
0 -5
1 -17/3
and soon
Similarly for -2x+3y=-15
x y
0 -5
1 -13/3
2 -11/3
and soon
And Hence plot the points in the graph.
Therefore, By plotting the given points (0,-5) , (1,-17/3 ) for y=-2/3x-5 and the points for-2x+3y=-15 are (0,-5) , (1,-13/3) and (2,-11/3) we get the required graph.
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What is the domain of f )= 4?
The domain of f(x) = 4 is the set of all real numbers.
The domain of any constant function (where the output is always the same) is the set of all real numbers. This is because any real number can be plugged into the function, and the output will always be 4.
The domain of f(x) = 4 is the set of all real numbers, including integers, rational numbers, irrational numbers, and any other types of real numbers.
The domain of f(x) = 4 is the set of all real numbers.
The domain of any constant function (where the output is always the same) is the set of all real numbers. This is because any real number can be plugged into the function, and the output will always be 4.
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Which of the following could be the units for dy/dx if y is the surface area of a tumor and x is the radius of the tumor
The units (derived unit) for dy/dx will be option C i.e. square millimeter per milimeter.
What are units?
Unit is a quantity of constant magnitude which is used to measure the magnitudes of other quantities of the same manner.
There seven SI base units, which are comprised of:
Length - meter (m)
Time - second (s)
Amount of substance - mole (mole)
Electric current - ampere (A)
Temperature - kelvin (K)
Luminous intensity - candela (cd)
Mass - kilogram (kg)
Derived units - A derived unit is a unit of measurement in the International System of Units (SI) that is derived from one or more of the seven base units.
As
Surface area(y) is mm^2
and radius(x) is mm
so, dy/dx will be mm^2/mm.
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MAKE THE ANSWER IS RIGHT!!! 100 points + Brainliest. 100 points + Brainliest Let C represents the cost in dollars and R represents the revenue in dollars. What is the break-even point? Use a table to help if necessary.
C=36x+200
R=76x
Break-even point: (,)
Answer: accidentally did that sorry
Step-by-step explanation:
Wanda sews small and large gloves. It takes her 45 minutes to sew a small pair of gloves and 120 minutes to sew a large pair of gloves. The costs of producing the gloves are $2 for a small pair and $4 for a large pair. Wanda has 16 hours available to sew gloves. The materials to make the gloves must cost at most $40. The system of linear inequalities represents this situation.
{45x+120y≤9602x+4y≤40
The point represents the number of small gloves is 16 and the number of large gloves is 2.
What is linear inequality?According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).
Given Wanda sews small and large gloves,
time for small gloves = 45 minutes
time for large gloves = 120 minutes
total time = 16 hours = 960 minutes
let x be the number of small gloves and y be the number of large gloves,
inequality equation is 45x + 90y ≤ 960
and the cost of small gloves = $2
cost of large gloves = $4
total amount = $40
equation 2x + 4y ≤ 40
let us assume the system of inequality in form of a linear equation,
45x + 90y = 960
2x + 4y = 40
by solving the equations
the equation is written as
x = 20 - y
45(20 -y) + 90y = 960
y = 2
and x = 16
so the minimum values for x and y are 16 and 2 to maximize the profit Wanda should not decrease the production of small gloves from 16 and large gloves to 2.
Hence the point of maximization is (16, 2).
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the complete question is in image.
Can someone please help me
Therefore , the solution of the given problem of triangle comes out to be x = 32.376 side of the hypotunse length.
What precisely is a triangle?Since a triangle has four or even more sections, it is a polygon. It has an easy geometric form. Triangle ABC refers to a square with angles A, B, & C. A singular plane and square are produced by Euclidean geometry whenever the sides are still not collinear. A triangle is a polygon if it has 3 components and three corners. Where a triangle's three sides come together are known as the corners. A triangle's angles add up to 180 degrees.
Here,
Given:
Triangle having :
=> Sin 78° = h /30
=> 0.9781 = h /30
=> h = 30 * 0.9781
=>h =29.343
and
For x :
=> Sin 65° = 29.343 /x
=> 0.9063 = 29.343 /x
=> x = 29.343 / 0.9063
=> x = 32.376
Therefore , the solution of the given problem of triangle comes out to be
x = 32.376 side of the hypotunse length.
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What is the slope of 5y =- 10?
The slope of line equation 5y = -10 is m = 0.
There are three type of the equation of line:
- slope-intercept form.
The equation of line is: y = mx + b
Where:
m = slope
b = y-intercept
- point-slope form
The equation of line is: y - y₁ = m(x - x₁)
Where:
m = slope
(x₁,y₁) = a point on the line
- standard form
Ax + By + C = 0
Where A, B, C are constant
The given equation of line is: 5y = -10
Convert it first to slope-intercept form. Divide both sides by 5:
5y/5 = -10/5
y = -2
Then, compare with slope intercept form: y = mx + b
Note that y = -2 can be written as:
y = 0 ·x - 2
Hence, the slope = m = 0
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Jacob is roller skating. He can skate 3/10 of a mile in 1/2 of a minute. What is Jacobs unit rate in miles per minute? please answer this is 100% of my grade TwT
Answer:
[tex]\frac{3}{5}[/tex] miles per minute
Step-by-step explanation:
3/10 ÷ 1/2
3/10 x 2 = 6/10 = 3/5
What is the value of x in the triangle? an isosceles right triangle with two legs of length 10 and hypotenuse of length x.
After using the Pythagorean theorem, the hypotenuse of the length x is 14.14 cm
In this case, we are given that:
The isosceles right triangle has two legs with length 10 cm
Let’s assume leg 1 as “a” = 10 cm, and leg 2 as “b” = 10 cm
The length of hypotenuse is “c”
To find the value of the hypotenuse or the longest side of a right triangle, we can use Pythagorean theorem:
a² + b² = c²
10² + 10² = c²
200 = c²
c = √200 = 14.14 cm
Therefore, the length of the hypotenuse would be 14.14 cm
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Which of the angles measures more than 90 but less than 180?
Answer:
Isosceles triangle
Step-by-step explanation:
Isosceles triangle has more than 90 but less than 180, which means Isosceles triangle is equal to 120.
Why is it called equation?
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
what is equation?Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the word "equal." The slope-intercept form, standard form, and point-slope form are the three primary forms of linear equations. A mathematical expression known as an equation contains the equals sign. Algebra is a significant component of many equations. When you don't know the exact number to compute in math, you use algebra.
given
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Consider the equation 3x + 7 = 14, where 3x + 7 and 14 are two expressions that are separated by the symbol "equal."
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How do the graphs of the functions f(x) = (3/2)x and g(x)
The function g(x) = (2/3)ˣ is the graph of the function f(x) = (3/2)ˣ reflected over y-axis.
What is function?A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.
f = {(a, b)| for all a ∈ A, b ∈ B}.
Given, the function
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
We have to compare the graphs of the functions f(x) and g(x).
Exponential function is of the form: y = abˣ
Where a is the initial value and b is the growth factor.
a) If b > 1, then the function is an exponential growth function.
b) If 0 < b < 1, then the function is an exponential decay function.
f(x) = y = (3/2)ˣ
The function is an exponential growth function.
The rule of reflection over y-axis:
(x, y) → (-x, y)
Applying the rule, we get,
(3/2)ˣ = (3/2)⁻ˣ
= (2/3)ˣ
= g(x)
Therefore, g(x) is graph of f(x) reflected over y-axis
Hence, graph of the function f(x) = (3/2)ˣ reflected over y-axis is function g(x) = (2/3)ˣ .
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Two sides of a triangle each measure 8 inches.
Maria says the triangle must be isosceles. Is Maria correct? Explain.
A.
No; the third side could measure 9 inches or 7 inches, and the triangle would be scalene.
B.
Yes; an isosceles triangle has at least two sides that have equal measures.
C.
Yes; the third side could measure 9 inches, and the triangle would be equilateral.
D.
No; the third side of the triangle could be 8 inches, and the triangle would be acute.
Answer:
B.) An isosceles triangle has at least two sides with equal measures.
Step-by-step explanation:
There are two equal sides and two equal angles in an isosceles triangle. There should be at least 2 equal sides for an Isosceles triangle. This means, even an equilateral triangle is an Isosceles triangle. In this case, at least two equal sides are 8 inches each. This is why the correct answer is 'Yes; an isosceles triangle has at least two sides that have equal measures.'
i need help hurryyy !!
Answer: 3
Step-by-step explanation: -4 1/3 divided by 2 1/5 = -1 32/33
Answer:
-1 32/33
Step-by-step explanation:
Negative divided by positive is negative.
We know the answeer will be negative.
Now ignore the signs, and just divide the mixed numerals.
1. Convert the mixed numerals to fractions.
2. Divide.
3. Convert quotient back to mixed numeral.
4. Make answer negative.
1. 4 1/3 ÷ 2 1/5 = 13/3 ÷ 11/5
2. = 13/3 × 5/11 = 65/33
3. = 33/33 + 32/33 = 1 32/33
4. Answer: -1 32/33
I need help with this pls.
The number of sessions will be 5 and the cost is $249.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that for the first plan, the initial cost is $39 and the cost per session is $42 and for the second plan, initial cost is $54 and per session is $39.
The number of sessions for same cost of two plans will be calculated as,
39 + 42S = 54 + 39S
42S - 39S = 54 - 39
3S = 15
S = 5
For 5 sessions the cost will be calculated as,
Cost = 39 + 42S
Cost = 39 + ( 42 x 5 )
ost = 39 + 210
Cost = $249
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Find the Equation of the line that goes through (2,7) and (-1.1)
*Graphically and Algebraically
I need help on quiz 4-1 classifying and solving for sides/ angles
Step-by-step explanation:
I don't know because you have it to far
Brooklyn divides 2.84 kilograms of fruit salad equally among 4 serving bowls.she wants to know how many kilograms of fruit salad to put in each bowl.she uses the decimal grids shown
By taking a quotient between the mass of salad fruit and the number of bowls, we will see that she needs to put 0.71 kg of salad fruit on each.
How much she needs to put in each bowl?
Here we know that Brooklyn wants to divide 2.84 kilograms of fruit salad equally among 4 serving bowls.
So, to see the mass of fruit salad that she needs to put in each bowl is equal to the quotient between the total mass of frit salad and 4, then we will get:
N = 2.84kg/4
N = 0.71 kg
So she needs to put 0.71 kilograms of salad fruit on each one of the 4 bowls.
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Change 20.4 yards to inches.
Answer: 734.4 inch
Step-by-step explanation:
Answer:
734.4 is the correct answer
Magnolia ha a net aet of P142,234. 00 after liabilitie of P53,435. 00 at the end of the
year. What i it equity at year end?
Magnolia ha a net aet of P142,234. 00 after liabilitie of P53,435. 00 at the end of the year. Then the equity at year end become 88799
magnolia ha a net aet of P142,234. 00 after liabilitie of P53,435. 00 at the end of the
year. What i it equity at year end?
The ideal current ratio for a company is between 1.2 and 2, which indicates that it has two times as many current assets as liabilities to cover its debts.
If the current ratio is less than 1, the company's liquid assets are insufficient to cover its current liabilities.
equity = assets - liabilities
= 142234-53435
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Please help! Trig!!!!!!!l. Look at the image! And answer the question! Thank u!
Therefore , the solution to the given problem of trigonometry comes out to be Sin( θ) = Cos(90 - θ).
Describe trigonometry.Correlations between triangles' angles and sides are studied in the mathematics discipline known as trigonometry. Since every straight-sided form can be reduced to a collection of triangles, trig can be found throughout geometry. The relationships between trigonometric and other branches of mathematics, in particular calculus, either real or complex, integrals, square root, and integrals, are astonishingly complicated.
Here,
Below is a list of the trigonometric values that are missing:
Angle A = θ-90.
28° sin = 62° cos
Cos 33° equals Sin 57°.
Cos 31° equals Sin 59°.
Sin( θ) = Cos(90 - θ).
Therefore , the solution to the given problem of trigonometry comes out to be Sin( θ) = Cos(90 - θ).
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What is the two steps in solving inequality?
Two steps in solving the inequality: simplify the algebraic expressions by combining like terms and isolating the target variable, then applying the mathematic operators.
Steps in solving the inequality:- Simplify the expression by: open the parentheses of algebraic expression, combine the terms like, and isolate the target variable.
- Use mathematic operators such as: addition, subtraction, multiplication, and division. All mathematic operations must be done on both sides. Addition and subtraction do not change the inequality. Multiplication and division with positive numbers will not change the inequality.
Multiplication and division with negative numbers will change the sign of the inequality.
Example:
Solve the inequality: 3x + 2 < 5x - 8
Step one: Subtract both sides with 5x and 2, this operation does not change the inequality sign
3x + 2 - 5x - 2 < 5x - 8 - 5x - 2
-2x < -10
Step two: Divide both sides with (-2). Since we divide with negative numbers, flip the inequality sign.
-2x/(-2) > -10/(-2)
x > 5
Hence, the solution is x> 5
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