Given that events A and B are independent with P(A) = 0.46 andP(B|A) = 0.85, determine the value of P(B), rounding to the nearestthousandth, if necessary.
Answers
To solve this problem, we have to use the conditional probability theorem,
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Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answers
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Identify the coordinates of each vertex of triangle XYZ.
Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.
For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)
To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.
has a bag containing twenty balls. There are twice as many yellow balls than blue balls, but the yellow balls are only a third of the red balls. The green balls are the same number as the blue balls. How many are each of the colour ball?
Answers
Answer:
Yellow: 4
blue: 2
red: 12
green: 2
The solution is 13. True or false?
x - 5 = 9
Answers
Answer: false. 13 - 5 is not 9
Step-by-step explanation:
Answer: False
Step-by-step explanation:
A mathematical model is a simplified description of a system or a process. In your opinion, how are mathematical models helpful? What are the advantages and disadvantages of using a model? In what ways are mathematical models linked to the fields of chemistry, biology, and physics? Cite several examples.
Answers
Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.
Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:
Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.
Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.
Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.
Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.
However, mathematical models also have limitations and potential disadvantages:
Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.
Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.
Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.
Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:
Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.
Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.
Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.
Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.
Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.
These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.
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Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Answers
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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Please Help Me With this question.
Answers
Answer:
Y=76x
Step-by-step explanation:
if you divide 3 and 228 it is 76. if you divide 5 and 380 it is 76.if you divide 532 and 7 it is 76. and if you divide 11 and 836 it is 76.
Answer:
Step-by-step explanation:
The trick is to get rid of b in y = mx + b. The way to do that is to take 2 values and subtract them
(380 - 228) / (5 - 3) = 152/2 = 76
Not all problems work out this nicely.
The answer is
y = 76x
In this case you can be a little more direct. m = 380 ÷ 5 = 76, but not all equations are this well behaved and doing it the long way is the best way.
What is the value of x ? X + 1/3 = 9
Answers
Answer:
x = 8 2/3
Step-by-step explanation:
X + 1/3 = 9
Subtract 1/3 from each side
X + 1/3-1/3 = 9-1/3
Borrow 1
x = 8 3/3 - 1/3
x = 8 2/3
Answer:
Isolate the x. Subtract 1/3 from both sides
x + 1/3 (-1/3) = 9 (-1/3)
x = 8 3/3 - 1/3
x = 8 2/3
8 2/3 is your answer
hope this helps .
Step-by-step explanation:
Help me out here pleaseeeeeeee
Answers
Answer:
Answer is 0.08, I took the quiz
Step-by-step explanation:
Can I get 5 stars to brainliest
what is the value of 5 to the six power
Answers
Answer:
15,625
Step-by-step explanation:
5 to the 6 power = 5 × 5 × 5 × 5 × 5 × 5 = 15,625
When 6 is subtracted from twice the
Sum of a number and 8 the result
is 5. Find the number.
Answers
2x + 8 = 11
2x = 3
x= 2/3
According to the question,
The equation will be:
\((2x + 8) - 6 = 5\)By solving the bracket, we get
→ \(2x + 8 - 6 = 5\)
→ \(2x +2 = 5\)
By subtracting "2" from both sides, we get
→ \(2x+2-2= 5-2\)
→ \(2x = 3\)
\(x = \frac{3}{2}\)
Thus the above answer is correct.
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Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a square with a side length of 10.6 inches, so the base area can be calculated as:
Base area = side length * side length
Let's calculate the base area first:
Base area = 10.6 in * 10.6 in
Next, we'll substitute the values into the volume formula:
Volume = (1/3) * (10.6 in * 10.6 in) * 12.3 in
Calculating this expression will give us the volume of the pyramid. Rounding the answer to the nearest tenth of a cubic inch will provide the final result.
Consider the binary operation table on set A ={1,2,3,6}
* 1 2 3 6
13 1 2 6
21 2 3 6
32 3 1 6
61 6 6 3
i) Find 2*6 , 6*1,2*(1*6), 6*(2*3)
ii) Is * commutative ? justify
iii) Find the identity element if exists.
iv) Find the elements which has inverse
*
PLEASE ANSWER THIS FASSSTT!!
I need this now as this is my assignment question!!
Answers
(i)
2 * 6 = 6
6 * 1 = 1
2 * (1 * 6) = 2 * 6 = 6
6 * (2 * 3) = 6 * 3 = 6
(ii) * is commutative if for any a, b ∈ A, we have a * b = b * a. You can verify this visually by checking for symmetry in the table along the main diagonal (going from top left to bottom right).
* is not commutative because
6 * 1 = 1
while
1 * 6 = 6
(iii) If e is the identity, then for any a ∈ A, we have a * e = e * a = a.
Here, 2 is the identity element because 1 * 2 = 1 and 2 * 1 = 1, and the same is true if we replace 1 with 2, 3, or 6.
(iv) Let a ∈ A. a has an inverse a ⁻¹ if a * a ⁻¹ = a ⁻¹ * a = e.
We know that e = 2, so look for any pairs that map to 2. The table shows that
1 * 3 = 2 and 3 * 1 = 2
2 * 2 = 2
so 1 has an inverse of 3, 3 has an inverse of 1, and 2 has itself as its inverse (which is to be expected for the identity).
At Kamari's Sweet Treats, cookies are packaged in boxes of 8. Depending on the cookie flavor, the most a box can cost is $16.
Let x represent how much each cookie costs. Which inequality describes the problem.
a x / 8 < 16
b 8 + x ≥ 16
c 8 x ≤ 16
d x − 8 ≤ 16
Answers
The inequality that describes the problem is C. 8x ≤ 16
Which inequality describes the problem?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:
8x ≤ 16
The correct option is C.
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What is the value of the expression? 21.18
÷
6 =
ASAP PLEASE
Answers
Answer:
3.53
Step-by-step explanation:
I checked it using a calculator. :)
Which number has an absolute value that is less than 25?
Answers
Answer:
l-25l
Step-by-step explanation:
a + b=c make (a) the subject with working
Answers
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
PLEASE QUICK HELP!!!
Answers
Answer:
4.5 / B
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
You can establish the problem in number format as 6L + 5B = 52 and 12L + 13B = 119. You can put either of the equations equal to L by dividing and setting it equal. Then, the answer is 4.5=L or the length is 4.5
The perimeter of the triangle is ___ units.Hint: Use the Pythagorean Theorem since this is a right triangle.
Answers
Solution
For this case we can find the lenght of each side:
L1= 5
L2= 12
\(L_3=\sqrt[]{(5)^2+(12)^2}=13\)Then the total perimeter is:
P= 5 +12 + 13= 30 units
Some couples planning a new family would prefer at least one child of each sex. The probability that a couple’s first child is a boy is 0.512. In the absence of technological intervention, the probability that their second child is a boy is independent of the sex of their first child, and so remains 0.512. Imagine that you are helping a new couple with their planning. If the couple plans to have only two children: (a) What is the probability of getting one child of each sex?
Answers
Answer:
49.97% probability of getting one child of each sex
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they are a boy, or they are a girl. The sex of a children is independent of other children, so we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
The probability that a couple’s first child is a boy is 0.512.
This means that \(p = 0.512\)
The will have two children:
This means that \(n = 2\)
(a) What is the probability of getting one child of each sex?
This is P(X = 1).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 1) = C_{2,1}.(0.512)^{1}.(0.488)^{1} = 0.4997\)
49.97% probability of getting one child of each sex
**Sometimes you are given the information for a part-to-part
relationship, but are asked about a part-to-whole relationship.
When this happens, just add another row to your ratio table.
The ratio of mammals
to reptiles at the pet
I store is 3:7. If there are
90 animals at the pet
I store, how many of the
animals are reptiles?
Show answer in a ratio table
Answers
The number of reptiles will be 63.
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7).
The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be positive.
Let the number of mammals and reptiles be 3x and 7x
the store has total 90 animals
so total number of animals will be
90= 3x+7x
90= 10x
so x will be 9
number of mammals will be 3×9= 18
number of reptiles will be 7×9= 63.
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Find the equation of the parabola in vertex form that has a vertex of (4,-2) and a y intercept of (0,-66)
Answers
The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
The vertex form of a parabola is given by:y = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2
Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2
Simplifying this, we get:-66 = 16a - 2
Adding 2 to both sides, we get:-64 = 16a
Dividing both sides by 16, we get:a = -4
Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2
Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
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Mason made a cardboard house at school. The lower part of the house is a rectangular prism and the upper part a triangular prism. Find the volume of the house.
Answers
Answer: 275,400
Step-by-step explanation:
- First we do 18 multiplied by 20 which would get us the answer of 360
- Next we do 45 multiplied by 17 which would get us the answer of 765
- Now we multiply both 360 and 765 and get the answer of 275,400
Find the surface area of the square pyramid (above) using its net (below)
Answers
Answer:
7 votos
Answer:12Step-by-step explanation:For each of the four triangles you multiply the base (2) by the height (2) and then divide it by 2 which equals 2.
Roger and Mary have an online account for buying movies. Roger's account balance is -$25
and Mary's is -$10. Who owes more money?
Answers
Answer:
Rodgers simply because owing 25 dollars is more than 10
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answers
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.
Answers
\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)
Pls help Darnell is an election officer. On election day, he travels to the polling place, which is 4.4 miles away from his home. On a map of Harrison County, these two places are 8 inches apart. What is the scale of the map? Write your answer in simplest form using whole numbers.
Answers
Answer:
The scale of the map is 1 : 34848---------------------------------
Real distance is 4.4 miles and on the map it is 8 inches.
The scale is:
8 in : 4.4 miles = Divide both sides by 81 in : 0.55 milesor
1 in : 0.55 * 63360 in = Convert 1 mile = 63360 inches1 : 34848Determine the length of side AB and BC in triangle ABC.
A. AB= 10.065, BC = 8.388
B. AB = 8.8, BC = 6.4
C. AB = 10.56, BC = 7.68
D. AB = 7.425, BC = 5.954
Answers
Answer:
C. AB=10.56, BC=7.68
Step-by-step explanation:
AB) 8.8x7.32÷6.1=10.56
BC) 6.4x7.32÷6.1=7.68
Calc II Question
Sketch the region enclosed by the given curves and find its area.
Y = lxl , y = x^2 - 2
Answers
Answer:
\(\displaystyle A=\frac{20}{3}\)
Step-by-step explanation:
\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)
Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.
compare these decimals 0.7______0.6999
1. >
2.<
3.=