The computation shows that the number of people expected to get infected is 5.
How to calculate the value?It should be noted that the chance of chance of getting a viral infection is 0.0005. out of 10,000 people.
Therefore, the number of people expected to get infected will be:
= 0.0005 × 10000
= 5
The number of people expected to get infected is 5.
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Researchers surveyed recent graduates of two different universities about their income. the following two-way table displays data for the sample of graduates who responded to the survey. how many graduates in the sample had an income of \$40\text{,}000$40,000dollar sign, 40, start text, comma, end text, 000 and over?
Universities A had an income under $20,000 25% graduates.
What is a two-way table?A two way table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.
Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.
A had an income under $40,000 25% graduates.
We have to add 30 45 together and get 75 because those are the students that have income under $40,000 dollars in both Universities
Then u convert have to convert it to a percentage and get 25%.
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The above question is not complete:
Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.
How many graduates from University A had an income under $40,000?
________graduates.
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The answer is 25%
its what khan says :>
In the following expression, both AAA and BBB are variables that can take positive values.
A+\dfrac{2}{B}A+
B
2
A, plus, start fraction, 2, divided by, B, end fraction
Which of these actions will cause the expression's value to increase?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
Keeping AAA constant and increasing BBB
(Choice B)
B
Keeping AAA constant and decreasing BBB
(Choice C)
C
Increasing AAA and keeping BBB constant
(Choice D)
D
Decreasing AAA and keeping BBB constant
The value to increase is keeping A constant and decreasing the value of B
What are fractions?Fractions are written as a ratio of two integers. For instance a.b is a fraction where a and b are integers.
In the fraction a/b, the numerator is and the denominator is b. If the value of the denominator is decreasing the fraction will increase but if the value of the denominator is increasing the fraction will decrease.
Given the expression A + 2/B, the higher the value of B provided such that that A is constant, the higher the expression. Hence the expression that will cause the value to increase is keeping A constant and decreasing the value of B
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Identify the expression equivalent to 2x 8 by substituting x = 7 and x = 5. a. 2x 10 10 b. 2(x 2) c. (x 4) (x 4) d. (x 4) e. 2(2x 4)
the expression equivalent to 2x + 8 is (x+4) + (x+4)
using the commutative property we can say that
2x +8 = x + x + 8
also 2x + 8 = x + 4 + x + 4
hence 2x + 8 = (x+4) + (x+4)
What is an expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both.Addition, subtraction, multiplication, and division are all possible mathematical operations.There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.In a mathematical expression, the following terms are used:An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.a number that is multiplied by a variable is referred to as a coefficient.To know more about variable with the given
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Describe what a line with zero rate of change looks like.
Answer:
Step-by-step explanation:
rate of change = change in y/ change in x
The rate of change is 0 if the change in y = 0
0 = 0 / change in x
The graph is a horizontal line since the y values do not change.
Can anyone help me with this?
Putting the question into an online calculator gives me 4 Rad x. but what are the steps to solve it?
Simplify the following expression:
(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6
Show all work to recive full credit.
The simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
How to simplify the expression?The algebraic statement is given as:
(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6
Rewrite the algebraic statement as:
[(x^0 y^2/3 z^-2y)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the like factors
[(x^0 y^(2/3+1) z^-2)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the sum
[(x^0 y^5/3 z^-2)^2/3]/[(x^2 z^1/2)^-6]
Expand the exponents
[(x^(0*2/3) y^(5/3 * 2/3)z^(-2*2/3)]/[(x^(2*-6) z^(1/2*-6)]
Evaluate the products
[(x^0 y^(10/9) z^(-4/3)]/[(x^(-12) z^(-3)]
Apply the quotient law of indices
x^(0+12) y^(10/9) z^(-4/3+3)
Evaluate the sum of exponents
x^(12) y^(10/9) z^(-1/3)
Hence, the simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
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Pls solve this with step by step.
Step-by-step explanation:
-x+5+6x-7x-14
6x-8x+5-14
-2x-9
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 20, 16, 21, 16, 22, 16, 15
Answer:
2.57
Step-by-step explanation:
The mean absolute deviation is the mean of the absolute values of the differences from the mean.
ApplicationThe mean of the dataset is the sum of values, divided by their number:
mean = (20 +16 +21 +16 +22 +16 +15)/7 = 126/7 = 18
The absolute values of the differences from 18 will have an average of ...
mean(|differences|) = (2 +2 +3 +2 +4 +2 +3)/7 = 18/7
mad(data) ≈ 2.57
__
Additional comment
Some calculators have the mad( ) function built-in. See the second attachment, for example.
A research wants to examine the grams of fat in milk. They separate the milk into the groups: Whole Milk, 2% Fat, and Low Fat. Then randomly select cartons from each of the groups to measure grams of fat. This is an example of ____________ sampling.
if there was a random selection of cartons from each of the groups to measure grams of fat. This is an example of stratified sampling
What is stratified sampling?Stratified sampling can be defined as a method of sampling that involves division of a population into smaller groups or items, these are called strata.
This groups or strata are then arranged or organized based on the shared characteristics or attributes of the members in the group of the given population.
Stratification is the process of classifying the population into groups.
Features of stratified sampling are;
It is a precise metric It provides for a better representation of the overall populationIt can be time-consuming, and potentially expensiveFrom the information given, we can see that it is an example of stratified sampling.
Thus, if there was a random selection of cartons from each of the groups to measure grams of fat. This is an example of stratified sampling
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The appropriate test for a comparison a group of 10 dogs and group of 10 cats is:_____.
The appropriate test for a comparison a group of 10 dogs and group of 10 cats is called independent sample t-test.
In this question,
The independent samples t test (also called the unpaired samples t test) is the most common form of the T test. It helps you to compare the means of two sets of data.
The Independent samples t test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.
The independent sample t-test is a useful statistical method of hypothesis testing when an organization wants to determine whether there is a statistical difference between two categories, groups, or items and, furthermore, if there is a statistical difference, whether that difference is significant.
From the definition, the independent sample t-test is the appropriate test for a comparison a group of 10 dogs and group of 10 cats.
Hence we can conclude that the appropriate test for a comparison a group of 10 dogs and group of 10 cats is called independent sample t-test.
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Verify the identity. sin() tan() = cos() use a reciprocal identity to rewrite the expression in terms of sine and cosine, and then simplify. sin
The identity Sin(α)/Tan(α) = Cos(α) is valid
Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-
Sine Function:
sin(θ) = Opposite / Hypotenuse
Cosine Function:
cos(θ) = Adjacent / Hypotenuse
Tangent Function:
tan(θ) = Opposite / Adjacent
Lets prove this identity by proceeding with the LHS
= Sin(α)/Tan(α)
= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))
= Sin(α)xCos(α) / Sin(α)
= Cos(α)
Hence verified
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Given the line segment CD = 30 cm and a point E on directed line segment CD that partitions CD into the ratio 4 to 1, find the lengths of line segments CE and ED.CE = 6 cm, ED = 24 cm
CE = 25 cm, ED = 5 cm
CE = 24 cm, ED = 6 cm
CE = 5 cm, ED = 25 cm
we can simply take the whole amount of 30 and divide it by (4 + 1), then distribute to each side accordingly, since they're in a 4 to 1 ratio.
[tex]\underset{\hspace{5em}4~\hfill to~\hfill 1\qquad }{\stackrel{\text{\LARGE 30}}{C\rule[0.35em]{18em}{0.25pt}E\rule[0.35em]{10em}{0.25pt}D}} \\\\\\ \stackrel{CE}{4\left( \frac{30}{4+1} \right)} ~~ : ~~ \stackrel{ED}{1\left( \frac{30}{4+1} \right)}\implies \stackrel{CE}{4\left( 6 \right)} ~~ : ~~ \stackrel{ED}{1\left( 6 \right)}\implies \stackrel{CE}{\text{\LARGE 24}} ~~ : ~~ \stackrel{ED}{\text{\LARGE 6}}[/tex]
An engineer is designing an arch-shaped gate for the entrance to an amusement park. the gate must be 80 feet wide and 25 feet tall. what will be the equation of the parabolic shape of the gate? a. x2 = -16(y − 25) b. (x − 16)2 = -4(y − 25) c. x2 = -64(y − 25) d. (x − 25)2 = -16(y − 16) e. x2 = -40(y − 25)
The equation of the parabolic shape of the gate is:
(x - 40)² = -64(y - 25)
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
The vertex is at the middle of the parabola, that is, a width of 80/2 = 40 meters and a height of 25 meters, hence h = 40, k = 25, and the equation is:
y = a(x - h)² + k
y = a(x - 40)² + 25
When x = 0, y = 0(start of the arc), hence the leading coefficient is found as follows:
0 = 1600a + 25
a = -25/1600
a = -1/64.
Hence the equation is:
y = -1/64(x - 40)² + 25
(x - 40)² = -64(y - 25)
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If 12 men are needed to run 4 machines. How many men are needed to run 20
Answer:
60Step-by-step explanation:
If 12 men are needed to run 4 machines. How many men are needed to run 20
we can solve with an equation
12 : 4 = x : 20
x = 12 * 20 : 4
x = 240 : 4
x = 60
----------------------------
check
12 : 4 = 60 : 20
3 = 3
the answer is good
The diagonals of rectangle qrst intersect at point p. given that m angle pts = 30 degrees, qs = 12, and qt = 6, find the following,
find the following what?
find the missing numbers in the following equivalent fractions: [tex]\frac{?}{5} =\frac{8}{10} =\frac{16}{?} =\frac{?}{40}[/tex]
Consider a rectangle of perimeter 12 cm. form a cylinder by revolving this rectangle about one of its edges. what dimensions of the rectangle can give us a cylinder of maximum volume?
Answer:
Dimensions will be 4 * 2 cm.
Step-by-step explanation:
l = length of rectangle and w = width
Perimeter = 2l + 2w = 12
l + w = 6.
---> l = 6 - w
Volume of the cylinder
V = πr^2l
w = 2πr
--> r = w/2π
l = 6 - w so
V = π(w/2π)^ 2 * (6 - w)
---> V = w^2/4π (6- w)
---> V = 3w^2/ 2π - w^3/4π
Differentiating:
dV/ dw = 6w/ 2π - 3w^2 / 4π
= - 3(w - 4)w / 4π
This equals 0 for maximum volume
- 3(w - 4)w / 4π = 0
w = 0 or w = 4
Given a polynomial function f(x) = 2x2 7x 6 and an exponential function g(x) = 2x 5, what key features do f(x) and g(x) have in common?
f(x) = 2x² + 7x + 6 and g(x) = 2^x + 5 have -
Equal y-intercept at (0,6)Same end behavior as x approaches positive infinityHow to determine the common features of the polynomial equations?
The equation of the functions are given as:
f(x) = 2x² + 7x + 6 &
g(x) = 2^x + 5
Next, we plot the graph of both functions (see attachment)
From the graph, we have the following highlights
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How many ways can a 2 person subcommittee be selected from a comittee of 6 people?
Answer: 15 ways
Step-by-step explanation: 5+4+3+2 + 1 = 15
Answer:
15.
Step-by-step explanation:
That would be the number of combinations of 2 from 6.
6C2
= 6! /4!2!
= 6*5/2*1
= 15.
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the horizontal distance in feet.
1) Represent the distance-height relationship for each player’s ball as an equation, in a table and on a graph. Record each representation and clearly label which player the information belongs to.
2) Supposed there were no obstacles.
a. Whose ball would travel the greatest distance before hitting the ground?
b. Whose ball would travel the shortest distance before hitting the ground?
3) Suppose the fence was 350 ft from home plate. At what height was each ball when it passed over the fence?
The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively
Represent the distance-height relationship for each player’s ball as an equation, in a table and on a graph.Juan
Juan's equation is given as:
h = -0.001d^2 + 0.5d + 2.5
h =
Set d to multiples of 50 from 0 to 400.
So, the table of values of Juan's function is:
d (ft) h(ft)
0 2.5
50 25
100 42.5
150 55
200 62.5
250 65
300 62.5
350 65
400 42.5
See attachment for the graph of Juan's function
Mark
A quadratic function is represented as:
h = ad^2 + bd + c
Using the values on the table of values, we have:
c = 3 -- the constant value
So, the equation becomes
h = ad^2 + bd + 3
Using the two other values on the table of values, we have:
23 = a(50)^2 + b(50) + 3
38 = a(100)^2 + b(100) + 3
Using a graphing tool, we have:
a = -0.001
b = 0.45
So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3
See attachment for Mark's graph.
Barry
From the graph, we have the table of values of Barry's function to be:
d (ft) h(ft)
0 2.5
50 21
100 35
150 44
200 48
250 46
300 41
350 30
400 14
450 0
Using a graphing tool, we have the quadratic function to be:
y = -0.001x^2 +0.4x +2.5
The shortest and the greatest distance before hitting the groundFrom the graphs, equations and tables, the distance travelled by the balls are:
Juan = 505 feet
Mark = 457 feet
Barry = 450 feet
This means that Juan's ball would travel the greatest distance while Barry's ball would travel the shortest.
The height the balls hit a fence at 350 ft distanceTo do this, we set d = 350
From the graphs, equations and tables, the height at 350 ft by the balls are:
Juan = 65 feet
Mark = 38 feet
Barry = 30 feet
The above represents the height the balls hit the fence
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Identify tanX as a fraction and as a decimal rounded to the nearest hundredth.
The figure shows right triangle X Y Z with right angle Y. The length of leg Z Y is equal to 7 point 2 units. The length of leg Y X is equal to 6 point 4 units. The length of hypotenuse X Z is equal to 9 point 6 units.
The value of tan(X) in fraction is 7.2/6.4 and in decimal is 1.13
How to determine the tangent trigonometry ratio?The complete question is added as an attachment
From the question, the given parameters are as follows:
Hypotenuse = XZ
Hypotenuse XZ = 9.6
Leg ZY = 7.2
Leg YX = 6.4
The tangent of X is then calculated as:
tan(X) = ZY/YX
Substitute the known values in the above equation
tan(X) = 7.2/6.4
Evaluate the above quotient
tan(X) = 1.125
Approximate the above result
tan(X) = 1.13
Hence, the value of tan(X) in fraction is 7.2/6.4 and in decimal is 1.13
So, the complete parameters are:
Hypotenuse = XZ
Hypotenuse XZ = 9.6
Leg ZY = 7.2
Leg YX = 6.4
tan(X) = 7.2/6.4
tan(X) = 1.13
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Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the
nearest hundredth.
The answer is 48π units³ or 150.72 units³.
To find the volume of the cone, use the formula : 1/3 × πr²h
We are given that r = 6 and h = 4.
Solving :
V = 1/3 × π × 6² × 4V = 12 × 4 × πV = 48π units³ (in terms of π)V = 150.72 units³The slope of the line below is -3 which of the following point-slope form of the line?
Answer:
The "point-slope" form of the equation of a straight line is:
\begin{gathered}y-y_1=m(x-x_1)\\\\(x_1;\ y_1)\ is\ a\ known\ point\\\\m\ is\ the\ slope\ of\ the\ line\end{gathered}y−y1=m(x−x1)(x1; y1) is a known pointm is the slope of the line
We have:
m=-3;\ (x_1;\ y_1)=(2;-2)m=−3; (x1; y1)=(2;−2)
Substitute
\begin{gathered}y-(-2)=-3(x-2)\\\\y+2=-3(x-2)\end{gathered}y−(−2)=−3(x−2)y+2=−3(x−2)
Answer: B. y + 2 = -3(x - 2
y = 3x + 15
3x + 3y = 9
Answer:
[tex]\Large\boxed{x=-3}[/tex][tex]\Large\boxed{y=6}[/tex]
Step-by-step explanation:
Given the system of equations
[tex]1)~y=3x+15[/tex]
[tex]2)~3x+3y=9[/tex]
Divide 3 on both sides of the 2) equation
[tex]3x+3y=9[/tex]
[tex]3x\div3+3y\div3=9\div3[/tex]
[tex]x+y=3[/tex]
Current system
[tex]1)~y=3x+15[/tex]
[tex]2)~x+y=3[/tex]
Substitute 1) equation into the 2) equation
[tex]x+(3x+15)=3[/tex]
Combine like terms
[tex]x+3x+15=3[/tex]
[tex]4x+15=3[/tex]
Subtract 15 on both sides
[tex]4x+15-15=3-15[/tex]
[tex]4x=-12[/tex]
Divide 4 on both sides
[tex]4x\div4=-12\div4[/tex]
[tex]\Large\boxed{x=-3}[/tex]
Substitute the x value into one of the equations to find the y value
[tex]y=3x+15[/tex]
[tex]y=3(-3)+15[/tex]
[tex]y=-9+15[/tex]
[tex]\Large\boxed{y=6}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
If i throw 20 knifes what is the probability that i will hit my assistant exactly 3 out of those twenty times?
The probability that knife will hit assistant exactly 3 out of 20 times is 0.001425.
According to the given question.
Number of times a kinfe is thrown = 20
Let p denotes the probability that knife will hits the assistant. And q denotes the probability that knife will not hit the assistant.
so,
p = 1/20
q = 1 - 1/20 = 19/20
Therefore,
The probability that knife will hit assiant exactly 3 out of 20 times
[tex]= ^{20}C_{3} ( \frac{1}{20}) ^{3} (\frac{1}{19} )^{17}[/tex]
= [tex]\frac{20!}{3!17!} (0.05)^{3} (0.0526)^{17}[/tex]
=
Hence, the probability that knife will hit assistant exactly 3 out of 20 times is 0.001425.
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A circle is shown. The shelf is represented by a chord and the brace goes from the chord to to a point on the circle. The brace line is extended up to form a diameter.
Custom drapes are being fitted for a large circular window. It is difficult to get these measurements, but the window has an 8 ft horizontal shelf with a 2 ft brace that sits in the frame. If the brace is extended upward, it would go through the center of the shelf and the circle. What is the diameter of the window?
Diameter = feet
The length of the diameter formed is in the image given is: 10 ft.
What is a Diameter of a Circle?The diameter of a circle is the line segment that divides the circle into two equal halves. The diameter divides the circle into semicircles. Also, the diameter of a circle is twice the length of the radius of a circle.
If we know the length of the radius, we can determine the length of the diameter of a circle by multiplying the radius by two. On the other hand, if we know the length of the diameter, to find the length of the radius, divide the diameter by 2.
The image of the circle showing the shelf and the brace line, which is the diameter are shown below.
To find the diameter of the window, add the length of the horizontal shelf and length of the brace. Thus:
Length of the diameter of the window = 8 + 2
Length of the diameter of the window = 10 ft
Thus, the length of the diameter formed is: 10 ft.
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Answer:
10 ft
Step-by-step explanation:
Susan drove 4 hours. Her average speed was 60 mph. Finish the chart below to give her an average speed of 60 mph.
║hour ║ speed║
______________
║1st ║ 65 ║
║2nd ║ 70 ║
║3rd ║ ____ ║
║4th ║ 55 ║
Answer:
Its 50
Step-by-step explanation:
60 times 4 it gives you 240.
Now minus all the numbers on the table like this
240 - 55 - 70 - 65 which equals to 50
240 would be the miles
The coordinates of point T are (0,2). The midpoint of ST is (5,-3). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)
Step-by-step explanation:
the midpoint is exactly halfway in each coordinate direction.
so, whatever we have to add ti or subtract from the coordinates of T to get to the midpoint, we have to add to or subtract from the midpoint to get to S.
for x we get
0 + 5 = 5
so, we need to add another 5 to get the x coordinate of S.
that is then 5 + 5 = 10
for y we get
2 - 5 = -3
so, we need to subtract another 5 to get the y coordinate of S.
that is then
-3 - 5 = -8
S = (10, -8)
Selim is ordering concrete spheres to place as barriers in the city park. The spheres cost $2 per square foot, and Selim can spend $20 per sphere. What is the maximum diameter of the spheres he can purchase?
Answer:
1.78 feet.
Step-by-step explanation:
If they cost $20 each and its $2 per square foot, the area of the spheres
is 20 / 2 = 10 ft^2.
Area of sphere = 4 π r^2 = 10 (where r = the radius)
---> r^2 = 10 / 4π
= 0.796
---> r = 0.892 ft
So the diameter = 2 * r
= 1.78 feet to nearest hundredth.
1. In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row.
(a) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work.
(b) Use the rule to determine which row has 100 seats. Show your work.
Step-by-step explanation:
a) We can find the iterative rule by first making a table of values.
n -> [tex]a_n[/tex]
1 -> 22
2 -> 28
3 -> 34
We see that [tex]a_n[/tex] increases by 6 each time. Hence, the iterative rule should have the term 6n. However, if we put 1 in for n, we get 6. We want 22-6=16 more than this, or [tex]6n+16[/tex]. This would work for any seat row we give.
b) Our iterative rule to get the number of seats is [tex]6n+16[/tex]. Since we know that this value is 100, we can put both equal to each other.
[tex]6n+16=100\\6n=84\\n=14[/tex]
Thus, the 14th row has 100 seats.
Answer:
(a) S_n = S_1 + 6 (n - 1)
(b) Row 14 has 100 seats
Step-by-step explanation:
(a) The arithmetic sequence would follow the iterative rule,
S_n = S_1 + 6 (n - 1) where S is the number of seats in row n, n is the row number, and S is the number of seats in row 1.
Row 1 = S_1 = 22
2 = S_2 = 28
3 = S_3 = 34
4 = S_4 = 40
|| || = 46
|| || = 52
|| || = 58
|| || = 64
|| || = 70
|| || = 76
|| || = 82
|| || = 88
|| || = 94
Row 14 = S_14 = 100
(b) 100=22+6(n-1) solve for n after setting S_n = 100
100 = 22 + 6_n - 6
84/6 = 6n/6 Row 14 has 100 seats
14 = n
please say thanks!
Potenciación audita amigos
Answer: 4096.
Step-by-step explanation:
[tex](8^3)^8\div(8^4)^5=\\8^{3*8}\div8^{4*5}=\\8^{24}\div8^{20}=\\8^{24-20}=\\8^4=\\4096.[/tex]