Answer:
your answer will be included in the picture i have listed below
i give all the credit to the first answer give him or her the brainlyest
If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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HELP FAST PLS
What is the solution to -4-2x + 6| =-24?
O x=0
Ox=0or x =-6
O x=0 or x =6
O no solution
Answer:
x=0 or x=6
Step-by-step explanation:
Evaluate the expression using a calculator. Round your answer to two decimal places when appropriate.
Square root 5^32,768 =
The value of the equation is A = ⁵√32,768 is A = 8
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ⁵√32,768 be equation (1)
On simplifying the equation , we get
A = 8 x 8 x 8 x 8 x 8 = 32,768
So , the 5th root of ( 32,768 ) is 8
Therefore , the value of A = 8
Hence , the equation is A = 8
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Find dy/dx for the function y=3x^0
Answer:0
Step-by-step explanation:
So this is an exponential equation. And the dy/dx is impossible because anything time 0 is 0. So there is no Rise over run, most commonly known as your slope.
Option. A ) 0 is correct
It is given that,y = 3x⁰ = 3
we have asked to differentiate the function y with respect to x.
for constants, the slope is always zero and the graph looks like a line parallel to the x-axis
\(dy/dx\) = 0
therefore, the differentiation of y=3 is 0.
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Mary analyzed occupancy rates at two community hospitals and obtained the following Excel results.
t-Test for Acue Care Occupancy Rates
MaxHealth HealthPro Mean 62.5462 68.4800 Variance 108.2377 98.3707 Observations 13 10 Hypothesized Diff 0 df 20 t Stat −1.3923 P(T<=t) one-tail 0.0896 t Critical one-tail 1.7247 P(T<=t) two-tail 0.1791 t Critical two-tail 2.0860 Which conclusion is correct in a two-tailed test at α = .05?
Multiple Choice
There appears to be no difference in the mean occupancy rates.
There is a significant difference in the mean occupancy rates.
HealthPro has a significantly higher mean occupancy rate.
Carver Memorial Hospital’s surgeons have a new procedure that they think will decrease the time to perform an appendectomy. A sample of 8 appendectomies using the old method had a mean of 38 minutes with a variance of 36 minutes, while a sample of 10 appendectomies using the experimental method had a mean of 29 minutes with a variance of 16 minutes. For a right-tailed test for equal means (assume equal variances), the critical value at α = .10 is
Multiple Choice
2.120
2.754
1.746
1.337
The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.
How to solveFrom the given values:
Thus, the P-value = 0.1791
Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.
From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.
Thus, option A is correct.
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What is the length of the hypotnuse in a right triangle with sides lengths of 8 and 15
Answer:
Hypotenuse = 17
Step-by-step explanation:
if: a = 8, b = 15 c = hypotenuse:
\(c=\sqrt{a^{2}+b^{2} }\)
\(c = \sqrt{(8)^{2} +(15)^{2} } =\sqrt{64+225}=\sqrt{289} =17\)
Hope this helps
What are binary integer variables?
a. Variables with any two values, a and b.
b. Variables with values 0 and 1.
c. Variables whose sum of digits is 2.
d. Variables with values between 0 and 1.
Binary integer variables are variables whose values consist of two values, 0 and 1.
Correct answer will be :- b. Variables with values 0 and 1.
These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.
For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.
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Giving rhombus SQUI, UD = 7, ID = 6, find UI. Round your answer to the nearest tenth as necessary
The Solution.
The diagonals of a rhombus intersect at right angles.
Hence, the length UI is a side in the right-angled triangle below:
By Pythagorean Theorem, we have
\(\begin{gathered} |UI|^2=7^2+6^2 \\ |UI|^2=49+36=85 \\ \text{Taking the square root of both sides, we get} \\ |UI|=\text{ }\sqrt[]{85}=9.22\approx9.2 \end{gathered}\)Thus, the correct answer is 9.2
does anyone know this? I dont get it
Answer:
1st one
Step-by-step explanation:
A linear sequence starts a+3b a+7b a+11b the 2nd term has value 19 the 5th term has value 67 work out the values of a and b
Answer:
\(a = -9\)
\(b = 4\)
Step-by-step explanation:
Given
Sequence: a+3b, a+7b, a+11b
2nd term = 19
5th term = 67
Required
Find a and b
First, the 5th term needs to be calculated;
Using formula for Arithmetic Progression (AP), the formula goes thus
\(T_n = T_1 + (n - 1)d\)
Where n = 5
T_1 = a + 3b ------------ FIrst term
\(d = T_2 - T_1 or T_3 - T_2\) --- Difference between two successive terms
\(d = a + 7b - (a + 3b)\)
\(d = a + 7b -a - 3b\)
\(d = a - a + 7b - 3b\)
\(d = 4b\)
So, \(T_n = T_1 + (n - 1)d\) becomes
\(T_5 = a + 3b + (5 - 1)4b\)
\(T_5 = a + 3b + (4)4b\)
\(T_5 = a + 3b + 16b\)
\(T_5 = a + 19b\)
Now that we have values for 2nd and 5th term;
From the second, T2 = 19 and T5 = 67
This gives
\(a + 7b = 19\) --- Equation 1
\(a + 19b = 67\) ---- Equation 2
Make a the subject of formula in (1)
\(a = 19 - 7b\)
Substitute these values in equation 1
\(a + 19b = 67\) becomes
\(19 - 7b + 19b = 67\)
\(19 + 12b = 67\)
Collect like terms
\(12b= 67 - 19\)
\(12b = 48\)
Divide both sides by 12
\(\frac{12b}{12} = \frac{48}{12}\)
\(b = 4\)
Recall that b = 4
Substitute a = 19 - 7b and nothing will hire
\(a = 19 - 7(4)\)
\(a = 19 - 28\)
\(a = -9\)
Hence, the values of a and b are -9 and 4 respectively.
how do u do thissss??
reflect this shape in the line y=x :)
Answer:
the x-coordinate and y-coordinate change places.
Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Parallelogram ABCD is rotated to create image A'B'C'D'.
The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:
Point A (2, 5) becomes A' (-5, 2).
Point B (5, 4) becomes B' (-4, 5).
Point C (5, 2) becomes C' (-2, 5).
Point D (2, 3) becomes D' (-3, 2).
By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.
This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.
Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.
Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
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John is 15 years older than two times Carl's age. John is 45. Which equation represents x,Carl's age
Answer:
(j-15)/2=c
Step-by-step explanation:
so (45-15)/2=30/2 is 15
What is the slope of the line between (1, 5) and (3, 9)
is it A, B, C, or D?
A) M=-2
B) M=1/2
C) M=2
D) M=-1/'2
Answer:
C
Step-by-step explanation:
9-5=4
3-1=2
4/2=2
PLEASE HURRY How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points 0 comma 2 and 2 comma 1.
The system of linear equations represented in the graph has one solution.
What is linear equations?Linear equations are equations that involve a single variable and can be written in the form ax + b = 0, where a and b are constants, and x is a variable. Linear equations are often used to describe physical processes and are used to solve many real-world problems. They can be used to solve for velocity, distance, time, force, and more.
The line that passes through the points (0,2) and (2,1) is a linear equation, which means that any two points on the line will define a single, unique line. Therefore, the only solution to the equation is the point of intersection of the two points, (1,1.5). This point is the only solution to the system of linear equations represented in the graph.
It is important to note that the linear equation in the graph is not a two-variable equation, but rather a one-variable equation. A two-variable equation would have two lines, which would result in two solutions. However, because only one line is present in the graph, the system of linear equations represented has one solution only.
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Which is the best reason why 2/5 is the exact quotient for 1/4÷ 5/8 ?
Answer:
2/5.
Step-by-step explanation:
1/4 / 5/8
= 1/4 * 8/5
= 1*8 / 4*5
= 8/20
= 2/5.
Assume that an opinion poll conducted in a 1998 congressional race found that on election eve, 54% of the voters supported Congressman Smith and 44% supported challenger Jones. Also assume that the poll had a /- 3% margin of error. What would the pollster be able to safely predict
Answer:
Congressman Smith will defeat Challenger Jones
Step-by-step explanation:
Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:
(44% - 3%) ≤ Jones ≤ (44% + 3%)
41% ≤ Jones ≤ 47%
(54% - 3%) ≤ Smith ≤ (54% + 3%)
51% ≤ Smith ≤ 57%
This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones .
These fractions are in order from least to greatest.
StartFraction 8 Over 7 EndFraction, 1 and two-fifths, x, 1 and two-thirds, 2
Which value of x would keep the list in order from least to greatest?
1 and one-sixth
StartFraction 8 Over 5 EndFraction
1 and StartFraction 7 Over 10 EndFraction
StartFraction 7 Over 3 EndFraction
Answer:
I think it is B.
Step-by-step explanation:
They don't tell where the fraction will be placed and other people got it wrong when they thought they put the fraction in the greatest spot.
The value of x could be 1 and one-sixth, or StartFraction 8 Over 5 EndFraction options (A) and (B) are correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The fractions are:
8/7, 1 2/5, x, 1 2/3, 2
Or
8/7, 7/5, x, 5/3, 2
1.142, 1.4, x, 1.667, 2
x could be
x = 1 1/6 = 1.166
Thus, the value of x could be 1 and one-sixth, or StartFraction 8 Over 5 EndFraction option (A) and (B) are correct.
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find all solutions of the given equation. (enter your answers as a comma-separated list. let k be any integer. round terms to two decimal places where appropriate.) 4 sin() − 1 = 0
4sinθ - 1 = 0`. We need to find all the solutions of the given equation. Now, let us solve the equation:
\(4sin\theta - 1 = 0 \\ 4sin\theta = 1 \\sin\theta = 1/4\)
We know that the general solution of the equation `sinθ = k` is given by \(`\theta = n\pi + (-1)n\alpha `\), where `k` is any integer and `α` is the principal value of `sin⁻¹k`.
Therefore, \(sin^-1(1/4) = 0.2527\) (rounded to four decimal places)Putting k = 1/4, we get\(\theta = n\pi + (-1)n\ sin^_1 (1/4)\) for any integer `n`. \(\theta = n\pi + (-1)n\ sin^_1(1/4)\) for any integer `n`. To solve the given equation 4sinθ - 1 = 0, we first need to express the equation in the form of `sinθ = k`.
Then, we use the general solution of the equation `sinθ = k`, which is given by \(`\theta = n\pi + (-1)n\alpha\), where `k` is any integer and `α` is the principal value of `sin⁻¹k`. For the given equation, we get \(sin\theta = 1/4\). The principal value of \(`sin^_1(1/4)\)` is 0.2527 (rounded to four decimal places).
Therefore, the general solution of the equation \(4sin\theta - 1 = 0\ is `\theta = n\pi + (-1)n\ sin^-1(1/4)\)` for any integer `n`. The solutions of the given equation \(4sin\theta - 1 = 0\ are `\theta = n\pi + (-1)n\ sin^-1 (1/4)`\)for any integer `n`.
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Does the equation y=x/2
represent a proportional relationship?
Answer:
Yes
Step-by-step explanation:
y=.5x
Answer:
Yes, y=x/2 is a proportional relationship.
Step-by-step explanation:
As x increases, y increases too.
Because age cannot be an independent variable, research on aging uses a(n) ______________ type of design.
Research on aging uses a **longitudinal** design.
A longitudinal design is a research design in which the same participants are studied over time. This is in contrast to a **cross-sectional** design, in which different participants are studied at different times.
Because age cannot be manipulated as an independent variable, research on aging must use a longitudinal design. This allows researchers to track changes in participants' behavior, cognition, and other factors as they age.
Longitudinal studies can be expensive and time-consuming to conduct, but they can provide valuable insights into the aging process. For example, longitudinal studies have shown that cognitive decline is not inevitable with age, and that certain lifestyle factors, such as exercise and social engagement, can help to protect against cognitive decline.
Here are some examples of longitudinal studies on aging:
* The Baltimore Longitudinal Study of Aging, which has been following a group of adults for over 70 years.
* The Framingham Heart Study, which has been following a group of adults for over 70 years.
* The Study of Adult Development and Aging, which has been following a group of adults for over 80 years.
These studies have provided valuable insights into the aging process, and they continue to be an important source of information for researchers and policymakers.
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Find the length of the segment indicated. Round to the nearest tenth if necessary.
Answer:
x=5
Step-by-step explanation:
x is the length of the line segment from the center to the boderline of circle. So x=5
Since 1965 U.S quarters have been made of copper and nickel and weigh 5.76 grams each. Before 1965 quarters were made of silver and weighed 6.25 grams each. How much less does 15.00 in quarters weigh today than before 1965
Using proportions, it is found that $15.00 in quarters weigh 29.4 grams less today than before 1965.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, a quarter is worth $0.25, hence $15.00 in quarters is composed by 60 quarters, as:
\(\frac{15}{0.25} = 15 \times 4 = 60\)
Before 1965, the total weight was of:
60 x 6.25 = 375 grams.
After that, the total weight is of:
60 x 5.76 = 345.6 grams.
Hence the difference is:
375 - 345.6 = 29.4.
$15.00 in quarters weigh 29.4 grams less today than before 1965.
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rewrite the following statements less formally, without using variables. determine, as best as you can, whether the statements are true or false a. there are real numbers u and v with the property that u v < u − v. b. there is a real number x such that x2 < x. c. for all positive integers n, n2 ≥ n. d. for all real numbers a and b, |a b| ≤ |a| |b|.
a. There are numbers that when multiplied are less than their difference. (True)
b. There is a number whose square is less than itself. (False)
c. For any positive whole number, its square is greater than or equal to the number itself. (True)
d. For any real numbers, the absolute value of their product is less than or equal to the product of their absolute values. (True)
To explain further, the statements are reformulated in a less formal manner without using variables.
a. The statement asserts that there exist some numbers (without specifying which numbers) that, when multiplied together, result in a product smaller than their difference. This statement is true. For example, consider u = 5 and v = 7. In this case, 5 * 7 = 35, which is less than the difference u - v = -2.
b. The statement suggests that there is a number x (without specifying its value) such that its square is less than x. This statement is false. It contradicts the fundamental property that for any real number x, x^2 is always greater than or equal to x. This is because the square of any real number, positive or negative, is either zero or a positive value.
c. The statement claims that for any positive integer n (without specifying a particular value), the square of n is greater than or equal to n itself. This statement is true. It is a fundamental property of positive integers that their squares are always greater than or equal to the original number. For example, when n = 4, 4^2 = 16, which is indeed greater than 4.
d. The statement asserts that for any real numbers a and b (without specifying specific values), the absolute value of their product is less than or equal to the product of their absolute values. This statement is true. The absolute value of the product of two real numbers is always less than or equal to the product of their absolute values. This can be understood by considering different cases, including when both a and b are positive, one is positive and the other is negative, or both are negative. In each case, the inequality holds true based on the properties of absolute values and multiplication.
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Tina plans to start a small business by making and selling skirts. Her one time start-up cost is a $250 sewing machine. Tina estimates that she will spend $15 on materials for each skirt.
Which rational function models the average cost per skirt, y, in dollars, for making a total of x skirts?
The rational function for Tina's average cost per skirt is \(y = ($250 + $15x) / x\). The Option C is correct.
What is the rational function for Tina's average cost per skirt?A rational function refers to any function that is algebraic fraction as both the numerator and the denominator are polynomials.
To find average cost per skirt, we will use: Total cost (Start-up cost + Cost of materials) / Total number of skirts made.
Total Cost = $250 + $15x
Total Skirts = x
Average Cost per Skirt = (Total Cost) / (Total Skirts)
Average Cost per Skirt = ($250 + $15x) / x
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A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the area?
The Area of Trapezium is 50, 267 mm².
We have,
base 1 = 224 mm
base 2 = 77 mm
Height = 334 mm
Now, Area of Trapezium
= 1/2 (Sum of parallel side) x height
= 1/2 (224 + 77) x 334
= 1/2 x 301 x 334
= 50, 267 mm²
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Devon is buying 3 greeting cards that cost $0.97 each. How can rounding be used to estimate the total cost of the cards?
Since each card is about $1, the total cost is approximately 3 + 1 = $4.
Since each card is about $1, the total cost is approximately 3 × 1 = $3.
Since he is buying about 10 cards, the total cost is approximately 10 × 0.97 = $9.70.
Since he is buying about 10 cards, the total cost is approximately 10 + 0.97 = $10.97.
Answer:
Since each card is about $1, the total cost is approximately 3 × 1 = $3.
Step-by-step explanation:
So 3 x 1 = 3
1 > 0.97
0.97 x 3 ≈ 2.91 which if rounded to the nearest WHOLE number it would be approximately 3$
Hope this helps!
what is the term for the value that occurs most often in a series of numbers?
The term for the value that occurs most often in a series of numbers is called the mode.
The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.
To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.
The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.
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The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
number 19 very much need the answer please
Answer:
D not possible.........