Ms. Wong's class had 11 girls and 14 boys. What is the probability that a girl will get the infection first and then a boy ?
Answers
Answer: 25,67%
Step-by-step explanation:
We have 11 girls and 14 boys, this is a total of 11 + 14 = 25 students.
If all the students have the same probability of being infected, the probability that a girl will get infected first is equal to the number of girls dividedthe total number of students:
p1 = 11/25
Now we get a boy infected, the number of boys is 14, and the total number of students is now 24 (because we already have a girl infected)
this probability is p2 = 14/24
The probability for both events is equal to the product of the probabilities:
P = p1*p2 = (11/25)*(14/24) = 0.2567
or 25,67%
Related Questions
Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.) Auto: $30,000 Estimated life: 5 years Residual value: $800 Year Cost Accumulated Depreciation B.O.Y Book Value B.O.Y Depreciation Expense Accumulated Depreciation E.O.Y Book Value E.O.Y 1 $30,000 A B C D E 2 $30,000 F G H I J 3 $30,000 K L M N O
Answers
The table is completed as follows using the double-declining-balance method of depreciation:
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
The double-declining-balance approach is what?
The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.
In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.
At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.
The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.
Auto = $30,000
Estimated useful life = 5 years
Residual = $800
Depreciable amount = $30,000 - $800 = 29,200
Straight-line depreciation rate = 100/5 = 20%
Double-declining depreciation rate =20% x 2 = 40%
Depreciation Expense:
1st year = 30,000 x 40/100 = 12,000
2nd year = 18,000 x 40/100 = 7,200
3rd year = 10,800 x 40/100 = 4,320
4th year = 6,480 x 40/100 = 2,592
5th year = 3,888 x 40/100 = 1,555
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
4 $30,000 $23,520 $6,480 $2,592 $26,112 $3,888
5 $30,000 $26,112 $3,888 $1555 $27,667 $2,332
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A tank contains 500 liters of water in which 300 grams of corn sugar is dissolved. Freshwater is then pumped into the tank at a rate of 5 L/min. The well-mixed solution is pumped out at the same rate. Find the number of grams of corn sugar that is in the tank at time .
Answers
Answer:
800g of letters of water is need
You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
Answers
The area of a rectangle is 99 ft2, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle.
Length: ft
5 ?
Width:
Answers
Answer:
\(Width = 11/2ft, Length = 18ft\)
Step-by-step explanation:
I'm not sure this might be right, hope this is helpful!
Please help me answer this:)
Will give you brainlst ^
Answers
Okay, got it!
Here's the graph (sorry if it's confusing I'm going to try my best)
Print Electronic Total
Youths 33 28 61
Adults 33 37 70
Total 66 65 131
Hope this helps!
Use the movable points to plot √ 16, √ 35, and
√66 on the x-axis.
Consider using the grid to help.
Answers
The plot of the points √16, √35, and √66 on the x-axis is added as an attachment
The distances are
AB = √17 = 4.1
GH = √32 = 5.7
Plotting the points on the x-axis using the movable pointsFrom the question, we have the following parameters that can be used in our computation:
Points = √16, √35, and √66
When these points are simplified, we have
√16 = 4
√35 ≈ 5.92
√66 ≈ 8.12
So, the locations of the points on the x-axis are
√16 is located at x = 4√35 is located at between x = 5 and x = 6, but 0.08 units from 6√66 is located at between x = 8 and x = 9, but 0.12 units from 8Using the above as a guide, we can now plot the points on the x-axis
See attachment
Calculating the distance of the pointsFrom the graph, we have
A = (0, 4) and B = (1, 0)
So, we have
AB = √[(4 - 0)² + (1 - 0)²]
Evaluate
AB = √17
When estimated, we have
AB = 4.1
Also, we have
G = (0, 0) and H = (4, -4)
So, we have
GH = √[(4 - 0)² + (4 - 0)²]
Evaluate
GH = √32
When estimated, we have
GH = 5.7
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Analyze the diagram below and complete the instructions that follow.
30⁰
Find tan 30°.
112
A. 1/2
B. 3 3
C. 2 2
D.1
please select the best answer from the choices provided
Answers
The ratio of the opposite side to the adjacent side (tan 30°) is: tan 30° = (opposite side) / (adjacent side) = (h/2) / ((√3/2)h) The h cancels out, and we are left with: tan 30° = 1 / √3 = √3 / 3. B is the correct answer
To find the value of tan 30°, we can use the trigonometric definition of tangent, which is the ratio of the opposite side to the adjacent side in a right triangle.
In a right triangle with an angle of 30°, we have one acute angle of 30°, another acute angle of 60°, and a right angle of 90°.
To find the value of tan 30°, we need to determine the ratio of the length of the side opposite to the 30° angle (opposite side) to the length of the side adjacent to the 30° angle (adjacent side).
In a 30°-60°-90° right triangle, the ratio of the sides is as follows:
- The opposite side is half the length of the hypotenuse.
- The adjacent side is (√3)/2 times the length of the hypotenuse.
Let's assume the length of the hypotenuse is "h." Then, the opposite side will be h/2, and the adjacent side will be (√3/2)h.
Therefore, the ratio of the opposite side to the adjacent side (tan 30°) is:
tan 30° = (opposite side) / (adjacent side) = (h/2) / ((√3/2)h)
The h cancels out, and we are left with:
tan 30° = 1 / √3 = √3 / 3
Among the provided answer choices, the best representation for tan 30° is B. √3 / 3. B is the correct answer
Please note that in some cases, the square root symbol (√) may not render correctly due to formatting limitations.
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Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
Answers
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.What is the value of the expression (3/4)³
81/256
27/64
9/12
27/4
Answers
Answer:
9/12
Step-by-step explanation:
Answer:
The answer is
9 over 12
9/12
-2(4g - 3) = 30 what is the answer
Answers
Answer:
g=-3
Step-by-step explanation:
-8g+6=30
-6
-8g=24/-8
Answer:
g = -3
Step-by-step explanation:
Question #3
Determine if the following scenario is best described as an observational study, survey, or experiment.
A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where
of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants
each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's
overall health.
Experimental Study
Observational study
Saved Survey
Answers
The type of sytudy that we have here is the observational study.
What is the observational study?
In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.
In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.
The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.
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Find the area of the parallelogram
Answers
Answer: 621 cm
A = bh
A = 27 x 23
A = 621
In each of the following graphs, find the lengths of the line segments shown. Write your answers (in simplest
radical form if they are not integers.
(a)
B
(b)
Q
Answers
The length of the two segments, written as radicals, are:
AB = √117
PQ = √244
How to find the length of the segments shown?Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:
L = √( (x₂ - x₁)² + (y₂ - y₁)²)
First, for the segment AB the endpoints are:
A = (-4, -4)
B = (2, 5)
Then the length is:
L = √( (-4 - 2)² + (-4 - 5)²)
L = √117
For the segment PQ the endpoints are:
P = (-6, 8)
Q = (6, -2)
The length is:
L = √( (-6 - 6)² + (8 + 2)²)
L = √244
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Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
Answers
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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A cylinder has a radius of 2.5 inches (in.) and a height of 11 in., as shown.
2.5 in.
11 in.
What is the surface area, in square inches, of the cylinder?
Answers
Answer:
212.06
Step-by-step explanation:
can't really explain since the formula is fricking long but trust me that's uts 212.06 in²
A store is having a sale on jelly beans and almonds. For 5 pounds of jelly beans and 3 pounds of almonds, the total cost is $16. For 2 pounds of jelly beans and 6 pounds of almonds, the total cost is $22. Find the cost for each pound of jelly beans and each pound of almonds.
Answers
Answer:
$2/lb
Step-by-step explanation
Please answer I would really really appreciate it !
Answers
Answer:
92.5 cubic units
Choice A
Step-by-step explanation:
To approach this problem, separate out the composite solid figure into individual easily manageable components
At the bottom we have a rectangular prism which has a base length of 2a, a height of a and a width of c
Its volume = L X H X W = 2a·a·c= 2a²c
Plugging in values for a and c we get
Volume of rectangular prism
= 2 x (3.7)² x 2
= 54.76 cubic units
On top of this rectangular prism are two right-angled triangular prisms
The volume of a right-angled triangular prism =
Here height = b (confusing :)
base = a
width = c
So volume of each triangular prism
\(=\textrm{$\dfrac{1}{2} \times $ base x height x width}\\\\= \dfrac{1}{2} a \times b \times c\\\\ = \dfrac{1}{2} \times 3.7 \times 5.1 \times 2\\\\= 18.87\)
Since there are 2 such prisms the volume of both
= 18.87 x 2 = 37.74 cubic units
Total volume of composite solid = 54.76 + 37.74 = 92.5 cubic units
Help please
Condense to a single logarithm is possible
In(6x^9)-In(x^2)
Answers
The logarithm expression can be simplified to:
In(6x^9)-In(x^2) =7·ln(6x)
How to write this as a single logarithm?There are some logarithm properties we can use here.
log(a) - log(b) = log(a/b)
log(a^n) = n*log(a)
(these obviously also apply to the natural logarithm)
Now let's look at our expression, it says that:
In(6x^9)-In(x^2)
Using the first rule, we can rewrite this as.
In(6x^9)-In(x^2) = ln(6x^9/x^2)
Now solving the quotient in the argument:
ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)
That is the expresison simplified.
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32a + 28 = factor completely
Answers
Answer:
Step-by-step explanation:
common factor is 4
4(8a+7)
Please answer ASAP. Also please explain because even though I put it on here I still want to know how to do it. Tysmm
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
First row
Fill in the given x-value and solve for y:
3(-4) +2y = -6
-12 +2y = -6
-6 +y = -3 . . . . . divide by 2
y = 3 . . . . . . . . . add 6
__
Second row
Fill in the given y-value and solve for x:
3x +2(0) = -6
x = -2 . . . . . . . . . divide by 3
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of T Q is 16 and the length of R Q is 20.
What is the length of Line segment S R?
9 units
12 units
15 units
18 units
Answers
The length of the line segment SR is 15 units.
How to find the length of a line segment?In Δ SRQ as seen in the attached image, we see that;
∠SRQ is a right angle
SQ is the hypotenuse
RT ⊥ SQ
Thus, by triangular rules, we know that;
(RQ)² = TQ × SQ
RQ = 20 units and TQ = 16 units
Thus;
(20)² = 16 × SQ
400 = 16 × SQ
SQ = 400/16
SQ = 25 units
By using Pythagoras theorem in Δ SRQ, we have;
(SR)² + (RQ)² = (SQ)²
RQ = 20 units and SQ = 25 units
Thus;
(SR)² + (20)² = (25)²
(SR)² + 400 = 625
(SR)² = 225
SR = √225
SR = 15 units
The length of the line segment SR is 15 units.
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5 gummy worms. 4 are red, 1 is blue. Two gummy worms are chosen at random and not replaced. What is probability of two red gummy worms.
Answers
Answer:
3/5
Step-by-step explanation:
because there are more red than blue and the fraction is 3/5 and the probability to pick a red worm is a lot higher than the blue. well there are 4 red worms and 1 blue so it would be 3 red worms out of 5 in total. this is more than 1 blue over 5. 3/5 is more than 1/5
hope this helped
Answer: 3/5
Step-by-step explanation:
Since 4 red gummies you have four out of 5 chance of getting red gummies. Without replacement there are now 4 gummies left and 3 red gummies. There for 3 out of 4 chance of getting another red gummy. Since at same time multiply. 4/5*3/4 = 12/20
Which can be simplified to 3/5
need help 50 points.
Answers
Answer:
\(b\approx15.6 \ in\)
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this question:
\(a^2+b^2=c^2\)
a and b are the legs of the triangle and c is the hypotenuse
Let's plug in the given values into the equation:
\(9^2+b^2=18^2\)
\(81+b^2=324\)
Subtract 81 from both sides
\(b^2=243\)
Take the square root of both sides
\(b\approx15.6 \ in\)
Answer:
15.58
Step-by-step explanation:
The pythagreom therom states a^2 + b ^2 = c^2
9 + x = 18
81 + x = 243
then you would want to solve for x
243 - 81 = 243
then
√243 = 15.59
i hope this helps :)
Select all the equations the represent lines parallel to y=6x+2.
A.12x-2y=4
B.y=6x-12
C.6y=-x-1
D.y=3x+2
E.y=-1/6x+7
Answers
The equations among the answer choices which represent lines parallel to y = 6x + 2 are; Choice A; 12x - 2y = 4 and Choice B; y = 6x - 12.
Which equations are parallel to the given line equation; y = 6x + 2?It follows from the task content that the equations which are parallel to the given equation of the line; y = 6x + 2 is to be determined.
The slope of the given line is 6 by comparison with; y = mx + c where m = slope.
The given equations which are not in slope-intercept form can be expressed in slope intercept form as follows;
A). 12x - 2y = 4; y = 6x -2
B). y = 6x - 12
C). 6y = -x - 1; y = -x/6 - 1/6
D). y = 3x + 2
E). y = -x/6 + 7
Therefore, the equations which are parallel to; y = 6x + 2 as they have the same slope are;
Choice A; 12x - 2y = 4 and Choice B; y = 6x - 12.
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(17a ^ 3 * b ^ 2)/(15b ^ 3 * c ^ 2) * (18b ^ 4 * c ^ 3)/(8a ^ 2 * b * c ^ 2) =
Answers
Answer: (51ab^2)/(20c)
STEP
1
:
Equation at the end of step 1
((17•(a3))•(b2)) ((18•(b4))•(c3))
————————————————•————————————————
((15•(b3))•(c2)) ((23a2•b)•c2)
STEP
2
:
Equation at the end of step
2
:
((17•(a3))•(b2)) ((2•32b4)•c3)
————————————————•—————————————
((15•(b3))•(c2)) 23a2bc2
STEP
3
:
(2•32b4c3)
Simplify ——————————
23a2bc2
Dividing exponential expressions :
3.1 b4 divided by b1 = b(4 - 1) = b3
Dividing exponential expressions :
3.2 c3 divided by c2 = c(3 - 2) = c1 = c
Dividing exponents:
3.3 21 divided by 23 = 2(1 - 3) = 2(-2) = 1/22
Equation at the end of step
3
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((15•(b3))•(c2)) 4a2
STEP
4
:
Equation at the end of step
4
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((3•5b3)•c2) 4a2
STEP
5
:
Equation at the end of step
5
:
(17a3 • b2) 9b3c
——————————— • ————
(3•5b3c2) 4a2
STEP
6
:
17a3b2
Simplify —————————
(3•5b3c2)
Dividing exponential expressions :
6.1 b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b
Equation at the end of step
6
:
17a3 9b3c
————— • ————
15bc2 4a2
STEP
7
:
Dividing exponential expressions :
7.1 a3 divided by a2 = a(3 - 2) = a1 = a
Dividing exponential expressions :
7.2 b3 divided by b1 = b(3 - 1) = b2
Dividing exponential expressions :
7.3 c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c
Final result :
51ab2
—————
20c
Find the vertex of the quadratic function.
ƒ(x) = 2(x−1)² +3
a. (1,3)
b. (2, -1)
c. (-1,3)
d. (2,3)
Answers
hi,
the function is given with it's canonic form.
canonic form is : f(x) = a ( x-α)² + β
α and β are the value of the coordonnates of the vertex.
so here we have : ƒ(x) = 2(x−1)² +3
with α = 1 and β = 3
so vertex is V (1;3)
So yes, answer is A.
I need help with this question.
Answers
1. The function f that determines the height of the beanstalk is \(h(t) = 7 * (1.15)^t\)
2. f(1)/f(0) = 1.15.
3. f(2)/f(1) = 1.149.
What function f determines the height of the beanstalk?Let h be the height of the beanstalk in inches after t days. Then we can write: \(h(t) = 7 * (1.15)^t\) where 1.15 is the factor by which the height increases each day.
Computation of the value of the following ration:i. To compute f(1)/f(0), we need to substitute t = 1 and t = 0 into the function f and divide:
f(1)/f(0) = [7 * (1.15)^1] / [7 * (1.15)^0]
f(1)/f(0) = 1.15/1
f(1)/f(0) = 1.15
ii. To compute f(2)/f(1), we need to substitute t = 2 and t = 1 into the function f and divide:
f(2)/f(1) = [7 * (1.15)^2] / [7 * (1.15)^1]
f(2)/f(1)= (1.3225) / (1.15)
f(2)/f(1) = 1.149
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A rain gutter is made from sheets of
aluminum that are 24 inches wide by
turning up the edges to form right
angles. Determine the depth of the
gutter that will maximize its cross-
sectional area and allow the greatest
amount of water to flow. What is the
maximum cross-sectional area?
Flat sheet 24 inches wide
1 Write a quadratic function for the Area in terms of x: A(x) =
2 The cross-sectional area is maximized when the depth of the gutter is
3 The maximum cross-sectional area is square inches.
Answers
1. The quadratic function for the Area in terms of x: A(x) = 24x.
2. The cross-sectional area is maximized when the depth of the gutter is 0.
3. The maximum cross-sectional area is square inches 0.
To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.
1. Write a quadratic function for the area in terms of x:
The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.
2. The cross-sectional area is maximized when the depth of the gutter is:
To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.
3. The maximum cross-sectional area is square inches:
Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.
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Which statement about the planes is true?
Answers
bruh
why
what
?
osea si pero al a vez cuando pasa osea si parece pero no lo es pero lo es cuando puede ser
A rectangle of area seven square centimetre is cut into three equel rectangle what is the area of each
Answers
7cm^2=2.33cm^2 for each rectangle