The value of P(B) is 0.7.
We are given that there are two events A and B which are independent of each other. It means that they are mutually exclusive. We are also given the value of P(A) = 0.26 and [tex]P(B|A)[/tex] = 0.7. We have to determine the value of P(B).
We will use the formula of conditional probability to solve this question.
The formula for conditional probability;
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
As we know that A and B are independent events, Therefore
P( A [tex]\cap[/tex] B ) = P(A). P(B)
Substituting the value of [tex]P(A \cap B)[/tex] in the formula of conditional probability,
Therefore,
[tex]P(B|A)[/tex] = [tex]\frac{P(A) P(B)}{P(A)}[/tex]
We are given that [tex]P(B|A)[/tex] is 0.7, we will substitute this value.
0.7 = P(B)
Therefore, the value of P(B) is 0.7 after rounding it to the nearest thousandth.
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URGENT PLEASE HELP!!!
The probability that the husband has more than $150,000 of insurance is 1.4577
How to calaculate The probability that the husband has more than $150,000 of insuranceLooking at the row where the husband's insurance is between $50,000 and $100,000, we can see that there are a total of 329 policies.
Out of these policies, the number of policies where the husband has more than $150,000 of insurance is 249+30+25+176 = 480.
Therefore, the probability that the husband has more than $150,000 of insurance given that his insurance is between $50,000 and $100,000 is:
480/329 ≈ 1.4577
Rounded to four decimal places, the probability is 1.4577.
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Will Give Brainliest Please Help!
Factor completely 625x4 - 81.
O (5x - 3)(5x - 3)(25x² + 9)
O (5x - 3)(5x+3)(25x² - 9)
O (5x+3)(5x + 3)(25x² + 9)
O (5x - 3)(5x+3)(25x² + 9)
Answer:
A
Step-by-step explanation:
We can factor 625x^4 - 81 by recognizing it as the difference of two squares:
625x^4 - 81 = (25x^2)^2 - 9^2
This can be further simplified using the formula for the difference of squares, which states that:
a^2 - b^2 = (a + b)(a - b)
In this case, a = 25x^2 and b = 9, so we have:
(25x^2 + 9)(25x^2 - 9)
We can then use the difference of squares formula again to factor 25x^2 - 9:
25x^2 - 9 = (5x)^2 - 3^2 = (5x + 3)(5x - 3)
Substituting this into our original expression, we get:
625x^4 - 81 = (25x^2 + 9)(25x^2 - 9) = (25x^2 + 9)(5x + 3)(5x - 3)
Therefore, the fully factored form of 625x^4 - 81 is (25x^2 + 9)(5x + 3)(5x - 3). Answer: (A) (5x - 3)(5x - 3)(25x² + 9)
Enterprise,a car rental company charges $40 per day to rent a car and $.50 per mile. Hertz charges $20 per day and $0.75 per mile. At what number of miles do both companies charge the same for a 1 day rental? ASAP PLS
A triangle has one angle that measures 56° and one angle that measures 63⁰.
The measure of the triangle's third angle is
degrees.
The solution is
Answer:
61
Step-by-step explanation:
triangles add up to 180
56+63 is 119
180-119 to find the missing angle is 61
hope this helped
Question 2 of 10
Which expressions are equivalent to the one below? Check all that apply.
3x
□ A. 15²
B. 3.3X-1
□ C. (¹5) 2
☐ D. X³
E. 3.3x+1
OF. 15
Answer:
B , C and F
Step-by-step explanation:
simplify the expression 6 - 5/4 X 6 -8/7
The solution of the expression is,
⇒ - 37/14
We have to given that;
Expression to solve is,
⇒ 6 - 5/4 × 6 - 8/7
Now, We can simplify the expression as,
⇒ 6 - 5/4 × 6 - 8/7
⇒ 6 - 5/2 × 3 - 8/7
⇒ 6 - 15/2 - 8/7
⇒ (12 - 15)/2 - 8/7
⇒ - 3/2 - 8/7
⇒ (- 21 - 16) / 14
⇒ - 37/14
Thus, The solution of the expression is,
⇒ - 37/14
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There is 800 linear ft. I want a barricade every 5 ft. The barricade is 6ft long. How many barricades are there?
Answer: 72
800/11 = 72.272727272
11 is 6ft plus 5 feet in between each barricade since you need 5 ft for each barricade including the 6ft itself.
Therefore, 800ft can have no more than 72 barricades.
Help please
Write an equation for a function that has a graph with the given characteristics.
The shape of y= |x| that has been shrunk vertically by a factor of 2/9.
----------------------.
The required equation of the function with the given characteristics is y = (2/9)|x| whose height will be compressed to 2/9 of the original height.
As per the question, the absolute value function y = |x| looks like a "V" shape with its vertex at the origin and opening upward.
To shrink it vertically by a factor of 2/9, we need to multiply the function by this factor.
Thus, the equation of the function with the given characteristics is:
y = (2/9)|x|
The resulting graph will still have a "V" shape, but its height will be compressed to 2/9 of the original height.
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6. For each expression, write an equivalent expression by applying the distributive
property.
a. (y + 4)(y + 7)
b. (y + 3)(3-5)
c. (v - 6)²
The graph below represents the cost (C), in dollars, of green squash at a grocery store based on the number of pounds (p).
The cost per pound of green squash at a local farmers market is half the cost per pound of green squash at the grocery store. Select the equation that represents the cost of green squash at the local farmers market.
A
C = 6.00p
B
C = 3.00p
C
C = 1.50p
D
C = 0.75p
An equation that represents the cost of green squash at the local farmers market include the following: C = 1.50p.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
c = kp
Where:
c represents the cost in dollars.p represents the number of pounds.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:
Constant of proportionality, k = c/p
Constant of proportionality, k = 15/10
Constant of proportionality, k = $1.5 per pounds.
Therefore, the required linear equation is given by;
c = kp
c = 1.50p
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Enter the number that belongs in the green box
The required length is 11 units for the given triangle.
The sine rule defines the side length ratios of triangles to their opposing angles. This proportion is true for all three sides and opposing angles.
a/sinA = b/sinB = c/sinC
The triangle is given in the question, as follows:
In ΔABC, ∠A=120°, ∠B=37°, and c = 5 units
Here, ∠C= 180° - 120° - 37° = 23.
We have to determine the length of a.
As per the sine rule, the required solution would be as:
a/sin∠A = c/sin∠C
Substitute the known values and we get
a/sin 120° = 5/sin 23°
a = (18/sin 1240°) × sin 23°
k ≈ 11
Thus, the length of c is 11 units.
Hence, the number that belongs in the green box is 11.
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Simplify Square root of x^2-8x+16 if x<4
The daily temperatures in fall and winter months in Virginia have a mean of 62o F. A meteorologist in southwest Virginia believes the mean temperature is colder in this area. The meteorologist takes a random sample of 30 daily temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature for the sample is 59oF with a standard deviation of 6.21oF. Do the data provide convincing evidence at the Alpha = 0.05 level that the mean temperature in fall and winter months in southwest Virginia is less than 62o F?
What is the test statistic for this significance test?
z = 2.65
t = 2.65
z = –2.65
The correct test statistic for this hypothesis test is t = -2.88, not z = -2.65 or z = 2.65.
To perform a hypothesis test, we start by stating the alternative hypotheses:
H0: μ = 62 (the population temperature is 62 degrees F)
Ha: μ < 62 (the population temperature is less than 62 degrees F)
X is the sample temperature, μ is the population temperature, s is the sample standard deviation, and n is the sample size.
Plugging in the values, we get:
t = (59 - 62) / (6.21 / √(30)) = -2.88
Finally, we compare the test statistic to the critical value from the t-distribution with n - 1 f and an alpha level of 0.05. Since the alternative hypothesis is one-tailed (μ < 62), we use a one-tailed test and look up the critical value for a t-distribution with 29 f and an alpha level of 0.05. The critical value is -1.699.
Since the test statistic of -2.88 is smaller than the critical value of -1.699, we reject the null hypothesis and conclude that there is convincing evidence at the alpha = 0.05 level that the temperature in fall and winter months in southwest is less than 62 degrees F.
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Answer the following questions based on the spinner below.
Find P(5) as a fraction.
Find P(number > 2) as a percentage. %
The values of the probabilities are P(5) = 1/8 and P(Number > 2) = 75%
How to calculate the values of the probabilitiesFrom the question, we have the following parameters that can be used in our computation:
The spinner
There are 8 sections on the spinner
So, we have
Section = 8
One of the sections is 5
So, we have
P(5) = 1/8
There are 6 sections greater than 2
So, we have
P(Number > 2) = 6/8
Evaluate
P(Number > 2) = 75%
Hence, the probabilities are 1/8 and 75%
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what is 1000 - 5000 +7
Answer:
-3993
Step-by-step explanation:
Suppose we want to choose 2 letters, without replacement, from the 3 letters A,B and C How many ways can this be done, if the order of the choices is taken into consideration? How many ways can this be done, if the order of the choices is not taken into consideration? Please help
The number of ways to choose the letters is given as follows:
Order matters: 6 ways.Order does not matter: 3 ways.How to obtain the number of ways to choose the letters?First we must decide which formula to use, depending if the order matters, as follows:
Order matters: permutation formula.Order does not matter: combination formula.The number of possible permutations of x elements from a set of n elements is given by:
[tex]P(n,x) = \frac{n!}{(n-x)!}[/tex]
Hence, if the order matters, the number of ways is given as follows:
P(3,2) = 3!/(3 - 2)! = 6.
The combination formula is given as follows:
[tex]C(n,x) = \frac{n!}x!{(n-x)!}[/tex]
Hence, if the order does not matter, the number of ways is given as follows:
C(3,2) = 3!/(2! x 1!) = 3.
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Select the correct answer.
At a walk-in interview, 12% of candidates can be selected, and 28% of candidates can be put on hold for the next hiring date. If 75 candidates are
interviewed, about how many are expected to be rejected?
OA. 9
OB. 30
O c. 45
O D. 21
Describe the rule used to generate the pattern 1 4 9 16
Answer:
1×1=1
2×2=4
3×3=9
4×4=16
Which linear equation shows a proportional relationship
Y=4
Y= 1/2 x
Y = 2x + 3
Y = -3/2 x -1
The equation that represents a proportional relationship
[tex]\[Y = \frac{1}{2}x\][/tex]
In a proportional relationship, the dependent variable (Y) is directly proportional to the independent variable (x). This means that as x increases or decreases, Y changes in a consistent ratio or fraction. In this equation, the ratio or fraction is [tex]\(\frac{1}{2}\)[/tex], indicating that for every unit increase in x, Y increases by [tex]\(\frac{1}{2}\)[/tex] units.
Let's break down the equation:
[tex]\(Y\)[/tex] represents the dependent variable, and it varies linearly with respect to the independent variable [tex]\(x\).[/tex]
The equation states that the value of Y is equal to [tex]\(\frac{1}{2}\)[/tex] times the value of [tex]\(x\).[/tex]
For example, if we have [tex]\(x = 4\)[/tex], we can substitute it into the equation to find the corresponding value of Y:
[tex]\[Y = \frac{1}{2}(4) = 2\][/tex]
So, when [tex]\(x\)[/tex] is 4, [tex]\(Y\)[/tex] is 2. This satisfies the proportional relationship because the ratio [tex]\(\frac{Y}{x}\)[/tex] remains constant at [tex]\(\frac{1}{2}\).[/tex]
Similarly, if we have [tex]\(x = -6\)[/tex], we can substitute it into the equation:
[tex]\[Y = \frac{1}{2}(-6) = -3\][/tex]
Therefore, when [tex]\(x\)[/tex] is -6, [tex]\(Y\)[/tex] is -3. Again, the ratio [tex]\(\frac{Y}{x}\)[/tex] remains constant at [tex]\(\frac{1}{2}\)[/tex].
Hence, the equation [tex]\(Y = \frac{1}{2}x\)[/tex] represents a proportional relationship where Y is directly proportional to x with a constant ratio of [tex]\(\frac{1}{2}\)[/tex].
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Please help ASAP! A radioactive compound with mass 260 grams decays at a rate of 3.8% per hour.
Which equation represents how many grams of the compound will remain after 8
hours?
OC=260(1.038) ► Submit Answer
OC=260(0.962)8
OC=260(0.038)8
OC=260(1-0.38)8
Answer: 260(0.962)^8
Step-by-step explanation:
Pretty simple. We have a base of 260, which all of the answers include. Then for a decay rate of 3.8, we reduce to percentage form ( 0.038 ) and subtract that from 1 ( or 100 in standard form ). Then we get 0.962. We choose the second option because it includes both these terms and 8 ( which I'm assuming is an exponent )
You deposit $3000 in an account that earns 4% annual interest compounded continuously. Find the balance of your account after 7 years. Your friend deposits $2800 in an account that earns 5.2% annual interest compounded quarterly. Which account has a greater balance after 7 years?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &7 \end{cases} \\\\\\ A = 3000e^{0.04\cdot 7} \implies \boxed{A \approx 3969.39} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2800\\ r=rate\to 5.2\%\to \frac{5.2}{100}\dotfill &0.052\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &7 \end{cases}[/tex]
[tex]A = 2800\left(1+\frac{0.052}{4}\right)^{4\cdot 7}\implies A=2800(1.013)^{28} \implies \boxed{A \approx 4019.97} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} 4019.97 ~~ > ~~ 3969.39 \end{array}}~\hfill[/tex]
Reiko’s goal is to practice the drums for at least 800 minutes per week. This week, Reiko already has practiced for 175 minutes. If she practices for 35 minutes each session, Reiko wants to know how many sessions are left for her to make her goal.
Answer:
18 more sessions
Step-by-step explanation:
Her goal is to practice 800 minutes.
She already did 175 minutes.
That means she has 800 - 175 = 625 minutes remaining, and she says that she will only practice in 35 minute sessions.
To determine the number of sessions she has left, just divide 625 by 35.
[tex]\frac{625}{35}[/tex]
= 17.85714
However, you can't have a portion of a session, as she only does 35 mins every session. Therfore, she must do 18 more sessions.
I hope this helped!~~~Harsha~~~
What is the value of
O
O
O
O
81
16
16
81
16
81
81
16
(3)*₂
?
The solution of the expression, [tex](\frac{2}{3} )^{-4}[/tex] is 81 / 16.
How to solve an exponential expression?An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as multiplication, subtraction, addition etc.
Therefore, lets solve the expression as follows:
[tex](\frac{2}{3} )^{-4}[/tex]
Using exponential laws,
b⁻¹ = 1 / b
Let's apply the law to the expression as follows:
[tex](\frac{2}{3} )^{-4} = \frac{1}{(\frac{2}{3})^{4} }[/tex]
Therefore,
1 ÷ (2 / 3)⁴ = 1 × (3 / 2)⁴ = 3⁴ / 2⁴
Finally,
3⁴ / 2⁴ = 81 / 16
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how the hell do i do it #underpressure
Answer:
8 more red counters
Step-by-step explanation:
It would make it 9:3, which, when simplified, is 3:1.
please solve this for me, I need help
The equations to have infinite solutions and no solutions are 3x + 5 = 3x + 5 and 3x + 5 = 3x + 6
Completing the equations to have infinite solutions and no solutionsInfinite many solutions
From the question, we have:
[ ] x + 2x + (-4 + 9) = [] x+ []
This gives
[ ] x + 2x + 5 = [] x+ []
For an equation to have infinite many solutions, both sides must be equal
So, we have
[1] x + 2x + 5 = [3] x+ [5]
Evaluate
3x + 5 = 3x + 5
No solution
Here, we have:
[ ] x + 2x + (-4 + 9) = [] x+ []
This gives
[ ] x + 2x + 5 = [] x+ []
For an equation to have no solutions, both sides must be unequal
So, we have
[1] x + 2x + 5 = [3] x+ [6]
Evaluate
3x + 5 = 3x + 6
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side of balls and placed in a bag.
Three balls are drawn, one at a time
and not placed back.
Which set of results could not have
been drawn from the bag?
2, 3, 7
10, 4, 3
FREE HINTS
3, 5, 5
FREE SOLVE
8, 6, 10
The set of results that could not have been drawn from the bag is 3, 5, 5.
Let's assume there are three balls in the bag, labeled A, B, and C. The possible combinations are:
ABC, ACB, BAC, BCA, CAB, CBA
Now, let's analyze each set of results:
2, 3, 7: This set of results could have been drawn from the bag. For example, if A = 2, B = 3, and C = 7, the results would be 2, 3, 7.
10, 4, 3: This set of results could have been drawn from the bag. For example, if A = 10, B = 4, and C = 3, the results would be 10, 4, 3.
3, 5, 5: This set of results could not have been drawn from the bag, because there is only one ball labeled 3 in the bag. Therefore, it is impossible to draw two balls labeled 5 and one ball labeled 3.
8, 6, 10: This set of results could not have been drawn from the bag, because there is no ball labeled 8 in the bag. Therefore, it is impossible to draw a ball labeled 8.
So, the set of results that could not have been drawn from the bag is 3, 5, 5.
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Answer:
X
2.4 cm
4.2 cm
If the value of x is 5 cm, what is the area of the entire quadrilateral?
f(x) cm²
7.5 cm
Answer:
62.25
Step-by-step explanation:
Rectangle Area Formula: A=l•w
7.5•5=37.5
=hbb/2=7.5·4.2/2=15.75
=hbb/2=7.5·2.4/2=
Add all three =62.25
pq+7/2=n, solve for p
The equation subject to p is P = (n - 7/2)/q.
To solve for p, we need to isolate it on one side of the equation.
Starting with:
Pq+7/2=n
Subtract 7/2 from both sides:
Pq = n - 7/2
Divide both sides by q:
P = (n - 7/2) / q
Therefore, the solution for p is:
P = (n - 7/2) / q
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Chess player moves a knight from the location (3,2) to (5,1) on a chessboard. If the bottom-left is labeled (1,1) the translation made is ____. If the player moves the knight from (5,1) to (6,3), the translation made is
1) The translation made is 2 units up, 1 units left.
2) The translation made is 2 units right, 1 unit up.
Since, A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
Chess player moves a knight from the location (3,2) to (5,1) on a chessboard.
And, the player moves the knight from (5,1) to (6,3),
Since, Translation for (3,2) to (5,1|) is,
⇒ 2 units up, 1 units left.
And, Translation for (5,1) to (6,3) is,
⇒ 2 units right, 1 units up.
Hence, When a player moves a knight from the location (3, 2) to (5, 1) on a chessboard the translation made is 2 units up, 1 units left.
And, When the player moves the knight from (5, 1) to (6, 3), the translation made is 2 units right, 1 units up.
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