Answers
Answer:
the answer is here
Step-by-step explanation:
180- 68
=112
Related Questions
Assume that each year the IRS randomly audits 30% of the tax returns. If a married couple has filed separate returns, answer the following questions. (a) What is the probability that both the husband and the wife will be audited? (b) What is the probability that only one of thern will be audited? (c). What is the probabkity that neither one of them will be audited? (d) What is the probability that at least one of them will be audited?
Answers
The problem entails calculating the probability for a scenario in which the IRS audits 30% of tax returns at random and a married pair has filed separate returns. Calculate the chances of both husband and wife being audited, just one of them being audited, neither of them being audited, and at least one of them being audited.
a) Probability that both the husband and the wife will be audited: (0.3)² = 0.09 or 9%
b) Probability that only one of them will be audited:
Probability of the husband being audited and the wife not being audited: (0.3)(0.7) = 0.21 or 21%Probability of the wife being audited and the husband not being audited: (0.7)(0.3) = 0.21 or 21%The probability that only one of them will be audited is the sum of the two probabilities which equals 0.42 or 42%.c) Probability that neither one of them will be audited: (0.7)² = 0.49 or 49%
d) Probability that at least one of them will be audited: This is the complement of the probability that neither one of them will be audited. So, the probability that at least one of them will be audited is 1 - 0.49 = 0.51 or 51%.
The relevant terms in this question are probability and statistics. To solve for the probability of each scenario, we used the formulas for independent probabilities and complements.
Learn more about probability and statistics:
https://brainly.com/question/27342429
#SPJ11
What is da answer my bruddas
Answers
Answer:
0.5
\(points \: of \: best \: fit \: are \\ (9, 5) \: and \: (1, 1) \\ slope = \frac{(1 - 5)}{(1 - 9)} \\ = \frac{ - 4}{ - 8} \\ = \frac{1}{2} \\ = 0.5\)
Find the value of X that will make A||B. Show work please, I need to figure out how to solve it.
Answers
Answer:
x = 12
Step-by-step explanation:
In order for these lines to be parallel:
5x = 4x + 12
x = 12
Hope this helps
The following is a composite figure. Find the TOTAL AREA of
the figure.
16 in
8 in
16 in
8 in
inches
Answers
for area , you multiply length times height so it’d be 16 x 8 :)
hi can someone help me with this I will thank u so much and give u stars and a thank u
Find the products mentally.
6.(0.8).2
(4.5) . (0.6) .4
Answers
Answer:
i think it is .64
Step-by-step explanation:
Solve the triangle. B=67∘51′,c=36m,a=74m What is the length of side b ? b=m (Round to the nearest whole number as needed.) What is the measure of angle A ? A= (Round to the nearest whole number as needed.) What is the measure of angle C ? C= (Round to the nearest whole number as needed.)
Answers
The length of side b is 56m, angle A is 45°, and angle C is 67°.
What is the length of side b in the given triangle?In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.
To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:
Length of side b:Using the Law of Cosines, we have:
b² = a² + c² - 2ac * cos(B)
Substituting the known values:
b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')
Calculating the value of b:
b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))
b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)
Measure of angle A:Using the Law of Cosines again, we have:
cos(A) = (b² + c² - a²) / (2 * b * c)
Substituting the known values:
cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)
Calculating the value of A:
A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))
A ≈ 45° (rounded to the nearest whole number)
Measure of angle C:Using the fact that the sum of angles in a triangle is 180 degrees:
C = 180° - A - B
Substituting the known values:
C ≈ 180° - 45° - 67°51'
Calculating the value of C:
C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)
Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.
Learn more about the Law of Cosines
brainly.com/question/17289163
#SPJ11
Which are factors of the polynomial? Check all
that apply.
x-2√/11
O x+2√11
x-(2+√11)
x+(²-√11)
x-4
Answers
An algebraic expression that contains one or more monomials.
What are the polynomial factors?A polynomial factor P(x) is any polynomial that divides evenly into P. (x). x + 2 is, for example, a factor of the polynomial x2 – 4. A polynomial’s factorization is its representation as a product of its components. For example, (x – 2)(x + 2) is the factorization of x2 – 4.
Step 1: Group the first two terms together, followed by the last two terms. Step 2: Extract a GCF from each binomial separately. Step 3: Remove the common binomial. It is worth noting that if we multiply our answer by itself, we get the original polynomial. Polynomial. An algebraic expression containing one or more monomials. Monomial. A number, a variable, or a number-variable product
To learn more about polynomial to refer:
https://brainly.com/question/20121808
#SPJ1
for a sample size of 25, the standard deviation of ths ample mean is 30. In order to cut this stand deviation to 15 we would
Answers
To cut the standard deviation of the sample mean from 30 to 15, you would need to increase the sample size from 25 to 4 times the initial size. This means you would need a sample size of 100.
To cut the standard deviation of the sample mean from 30 to 15, you would need to increase the sample size.
The standard deviation of the sample mean (also known as the standard error) is inversely proportional to the square root of the sample size. In other words, as the sample size increases, the standard deviation of the sample mean decreases.
To determine the necessary sample size to achieve a desired standard deviation of 15, you can use the formula:
\(n = (s/\sigma)^{2}\)
Where:
n is the required sample size
s is the initial standard deviation (30)
σ is the desired standard deviation (15)
Plugging in the values:
\(n = (30/15)^2\\n = 2^2\\n = 4\)
Therefore, to cut the standard deviation of the sample mean from 30 to 15, you would need to increase the sample size from 25 to 4 times the initial size. This means you would need a sample size of 100.
For more details about standard deviation
https://brainly.com/question/13498201
#SPJ4
Sam buys a laptop computer on same for 25% off the original price of $789.90. How much did she pay for the laptop? Show all work.
Answers
Answer:
She paid $610.43
Step-by-step explanation:
multiply the original price by the decimal form of the percentage:
⇒ $789.90 x .25 (25%) = $197.475
subtract the product from the original price:
⇒ $789.90 - $179.475 = $610.425
round to the nearest hundreth:
⇒ $610.425 = $610.43
Which of the following represents the factorization of the polynomial below x^2+13x+42
Answers
Answer:
(x+7)(x+6)
Step-by-step explanation:
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+6)(x+7)
Answer:
a) (x+7) (x+6)
Step-by-step explanation:
That is the correct answer because you get it when you factor the current equation.
Hope it helps
Find all possible inflection points of f(x) = -x^4 + 24x^2. Are there any actual inflection points of f(x)?
Answers
Given the function:
\(f(x)=-x^4+24x^2\)You need to remember that the Inflection Points of a function are where it changes its concavity.
By definition, a function can have more than one inflection point:
1. You need to find:
\(f^{\prime}(x)\)Remember the following Derivatives Power Rule:
\(\frac{d}{dx}(x^n)=nx^{n-1}\)You get:
\(f^{\prime}(x)=-4(x^{4-1})+(2)(24)(x^{2-1})\)\(f^{\prime}(x)=-4x^3+48x\)2. Find the second derivative by derivating the first derivative. This is:
\(f^{^{\prime}^{\prime}}(x)=(-4)(3)x^{3-1}+48\)\(f^{^{\prime\prime}}(x)=-12x^2+48\)3. Find the third derivative by derivating the second derivative:
\(f^{^{\prime^{\prime}^{\prime}}}(x)=(-12)(2)x^\)\(f^{^{\prime^{\prime}^{\prime}}}(x)=-24x\)4.Find the roots of the second derivative:
- Set up that:
\(-12x^2+48=0\)- And solve for "x":
\(\begin{gathered} -12x^2=-48 \\ \\ x=\sqrt{\frac{-48}{-12}} \\ \\ x_1=2 \\ x_2=-2 \end{gathered}\)5. Substitute each root into the third derivative and evaluate:
\(f^{^{\prime^{\prime}^{\prime}}}(2)=-24(2)=-48\)It is less than zero, therefore there is an inflection point in that x-value.
\(f^{^{\prime^{\prime\prime}}}(-2)=-24(-2)=48\)It is positive output value, therefore there is an inflection point in that x-value.
6. Substitute those x-values into the original function and evaluate:
\(f(2)=-(2)^4+24(2)^2=80\)\(f(-2)=-(-2)^4+24(-2)^2=80\)Therefore, the inflections points are:
\(\begin{gathered} (-2,80) \\ (2,80) \end{gathered}\)Hence, the answer is:
There are two inflection points:
\(\begin{gathered} (-2,80) \\ (2,80) \end{gathered}\)At 1 pm you
have 5
megabytes of a
movie. At 1:30
pm, you have
215 megabytes.
What is the
download rate
per minute?
Answers
The download rate per minute is 7 megabyte per minute.
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
download rate /minute = change in megabytes/change in time
change in megabytes = 215-5 = 210megabytes
change in time = 1:30pm - 1:00 pm
= 30minutes
the download rate per time = 210/30
= 7megabytes per minute
therefore the download rate per time of the movie is 7megabytes per minutes
learn more about rate from
https://brainly.com/question/119866
#SPJ1
Help me please i just want to get ALEKS done for school :( PLEASE HELP
Answers
The measure of the side of the partial rectangle is 7 cm
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the perimeter of the rectangular figure be represented as P
Now , the equation will be
The length of the rectangle 1 = 12 cm
The width of the rectangle 1 = 6 cm
The length of the rectangle 2 = 15 cm
The width of the rectangle 2 = 5 cm
Now , let the unknown length be represented as A
And , A = length of the rectangle 1 - width of the rectangle 2
Substituting the values in the equation , we get
The unknown length A = 12 cm - 5 cm
On simplifying the equation , we get
The unknown length A = 7 cm
Hence , the unknown length of the rectangle is A = 7 cm
To learn more about perimeter of rectangle click :
https://brainly.com/question/15725265
#SPJ1
Consider the vectors: a=(1,1,2),b=(5,3,λ),c=(4,4,0),d=(2,4), and e=(4k,3k)
Part(a) [3 points] Find k such that the area of the parallelogram determined by d and e equals 10 Part(b) [4 points] Find the volume of the parallelepiped determined by vectors a,b and c. Part(c) [5 points] Find the vector component of a+c orthogonal to c.
Answers
The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).
a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.
We have,
d=(2,4)
and e=(4k,3k)
Then,
d×e= (2 * 3k) - (4 * 4k) = -10k
Area of parallelogram = |d×e|
= |-10k|
= 10
As we know, area of parallelogram can also be given as,
|d×e| = |d||e| sin θ
where, θ is the angle between the two vectors.
Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ
⇒ 10 = √20 √25k^2 sin θ
⇒ 10 = 10k sin θ
∴ k sin θ = 1
Therefore, sin θ = 1/k
Hence, the value of k is 1.
Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,
| a . (b × c)|
Here, a=(1,1,2),
b=(5,3,λ), and
c=(4,4,0)
Therefore,
b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k
= -4i + 4λj + 8k
Now,| a . (b × c)|=| (1,1,2) .
(-4,4λ,8) |=| (-4 + 4λ + 16) |
=| 12 + 4λ |
Therefore, the volume of the parallelepiped is 12 + 4λ.
Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].
Here, a=(1,1,2) and
c=(4,4,0).
Then, a + c = (1+4, 1+4, 2+0)
= (5, 5, 2)
Now, projecting (a+c) onto c, we get,
projc(a+c) = [(a+c).c / |c|^2] c
= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)
= (4,4,0.5)
Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)
= (1,1,1.5)
Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).
Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).
To know more about orthogonal visit
https://brainly.com/question/32250610
#SPJ11
find the value of x.
Answers
Answer: 10.5
Step-by-step explanation:
may i have some help with 9? thanks :)
Answers
#9. C
A negative sign on the outside of the function indicates a reflection in the y-axis.
A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.
Hope this helps!
Given g(x)=3x+6, find the value of x when g(x)=30.
Answers
-6 -6
24=3x
/3 /3
8=x
ans: 8
If tanA+cotA=2, then find the value of tan^2A+cot^2A.
Answers
tan45° = cot45° = 1
---> If tanA + cotA = 2, then A is 45°.
---> tan²A + cot²A = 1² + 1² = 2
The correct answer is 2
Which fraction is equivalent to 6/18
Answers
Which numbers are solutions of h2+4=8h−3?
A. 1
B. 3
C. 5
D. 7
it asks which 2 are correct, please help.
Answers
I could be wrong
Explanation
Not sure but I think its b and d
A study shows that 28% of the population has high blood pressure. The study also shows that 86% of those who do not have high blood pressure exercise at least 90 minutes per week, while 32% of those with high blood pressure exercise at least 90 minutes per week. Which of the following relative frequency tables could the study provide?
Exercise ≥ 90 minutes per week Exercise < 90 minutes per week Total
Has high blood pressure 24% 4% 28%
Does not have high blood pressure 23% 49% 72%
Total 47% 53% 100%
Exercise ≥ 90 minutes per week Exercise < 90 minutes per week Total
Has high blood pressure 9% 19% 28%
Does not have high blood pressure 62% 10% 72%
Total 71% 29% 100%
Exercise ≥ 90 minutes per week Exercise < 90 minutes per week Total
Has high blood pressure 62% 10% 72%
Does not have high blood pressure 9% 19% 28%
Total 71% 29% 100%
Exercise ≥ 90 minutes per week Exercise < 90 minutes per week Total
Has high blood pressure 23% 49% 72%
Does not have high blood pressure 24% 4% 28%
Total 47% 53% 100%
Answers
The relative frequency table that the study could provide is:
Exercise ≥ 90 minutes per week Exercise < 90 minutes per week Total
Has high blood pressure 32% 68% 100%
Does not have high blood pressure 86% 14% 100%
Total 47% 53% 100%
This table shows that 32% of those with high blood pressure exercise at least 90 minutes per week, and 86% of those who do not have high blood pressure exercise at least 90 minutes per week. The total percentages for each category of exercise add up to 100% and the sum of the percentages of each category of high blood pressure also add up to 100%.
The other options don't match the study data. In option 1, the percentages for each category of exercise don't add up to 100%. In option 2 and 3 the percentages for each category of high blood pressure don't add up to 100%. And in option 4, the percentages for each category of exercise don't add up to 100%.
24. Find the general solution of following differential equations. a) secx dy/dx = e^y b) y (x+1)=(x²+2x)dy/dx c)x. dy/dx = 1/y+y. 25. If y=2 when x=1 find the coordinates of the points where the curve represented by 2y/3 dy/dx = e^-1x crosses the y-axis.
Answers
To solve the differential equation, sec(x) dy/dx = e^y, we have to isolate dy/dx on one side of the equation and y terms on the other side. Thus, our first step will be to multiply both sides by dx, which will give us sec(x) dy = e^y dx.
Integrating both sides gives us (y^2/2 + y) = ln|x| + C, where C is a constant of integration. Simplifying this equation gives us y^2 + 2y = 2ln|x| + C. To find the solution for y, we can complete the square. This gives us (y+1)^2 = 2ln|x| + C1, where C1 is another constant of integration. Therefore, the general solution for this differential equation is y = -1 ± √(2ln|x| + C1).
The solution for a differential equation is generally derived from the separation of variables, where the variables are separated into two sides. Each side of the equation is then integrated, and the integration constants are determined to obtain the solution.
To know more about equation visit:
https://brainly.com/question/29657983
#SPJ11
5 ÷ $81.39 show my work
Answers
Answer:
16.278
Step-by-step explanation:
-2(y-5)=3y+10-5y PPLLZZ HELPP ASAP
Answers
Answer:
\( \huge{ \fbox { \sf{ \: No \: Solution}}}\)
Step-by-step explanation:
\( \star{ \sf{ - 2(y - 5) = 3y + 10 - 5y}}\)
\( \text{Step \: 1 \: : \sf{ \: - Distribute \: - 2 \: through \: the \: parentheses \: }}\)
\( \mapsto{ \sf{ - 2y + 10 = 3y + 10 - 5y}}\)
\( \text{ Step \: 2 \: : Collect \: like \: terms}\)
\( \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}\)
\( \mapsto{ \sf{ - 2y + 10 = - 2y + 10}}\)
\( \text{Step \: 3 \: : Move \: 2y \: to \: left \: hand \: side \: and \: change \: its \: sign}\)
\( \mapsto{ \sf{ - 2y + 2y + 10 = 10}}\)
\( \text{ Step \: 4 \: : Move \: 10 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)
\( \mapsto{ \sf{ - 2y + 2y = 10 - 10}}\)
\( \mapsto{ \sf{ \cancel{ - 2y} + \cancel{2y} = \cancel{10} - \cancel{10}}} \)
\( \sf{∴ \: There \: is \: no \: answer \: to \: the \:given equation.}\)
Hope I helped!
Best regards! :D
~\( \sf{TheAnimeGirl}\)
Steven wants to buy a $575 bicycle. He has no money saved but will be able to deposit $50 into a savings account when he gets his paycheck on Friday. but before Steven can buy the bike he must pay his sister $75. How many weeks will Steven need to deposit money into the account before he can pay back his sister and buy the bike?
Answers
Simplify: (2x3y5)3 Could you also explain how to do it?
Answers
Answer:
6x×9y×15
Step-by-step explanation:
that's the answear I got because you didn't add any math signs so assuming its all multiplication you take 3 and multiply it with each of the numbers with there variables
Solve for the variable
4 = 7/y
Answers
Answer: y = 7/4
Step-by-Step Explanation:
=> 4 = 7/y
= 7/y = 4
=> y = 7/4
Therefore, y = 7/4
Step-by-step explanation:
4=7/y
cross multiplying
4×y=7
dividing bothsides by 5
4y/4=7/4
y =7/4
Calculate the relative frequency of the data to determine which association the two-way table suggests.
A. None of the associations listed are correct.
B. Those who have a brother tend not to have a sister.
C. Those who have a brother tend to have a sister.
D. Those who do not have a brother tend not to have a sister.
Answers
The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.
The table provides information about whether individuals have a brother and a sister.
Based on the options given, let's calculate the relative frequencies to see which association is suggested:
Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)
Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)
Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)
Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)
By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.
For such more questions on Association:
https://brainly.com/question/2511791
#SPJ11
For i =√√1, what is the value of
(2+3i)(5-7i)?
Answers
result is 31+i in where 31 is real part and i is complex part as given i= √-1 and i²= -1
What is called complex number?In mathematics complex number is an element which has two parts one is called real part and the remaining is termed as imaginary part. An example is 41+6i
here, 41 is real part, 6i is imaginary part
What is the system we use for complex number?A real number cannot be added or subtracted with an imaginary number, but a real number can be multiplied or divided with an imaginary number.
We are given, (2+3i) (5-7i)
at first, we expand it by removing parenthesis
2x5-2x7i+3ix5-3ix7i
10-14i+15i-21i²
now like term is added
10+i+21 as we are given i²= -1
31+i
hence, we get 31+i
to learn more about complex number visit:
https://brainly.com/question/20566728
#SPJ1
2 + 10X - X + 2(X + 5)
Answers
Answer: Below
Step-by-step explanation:
11x + 12
Hope this helped!