Answer:
173 days
Step-by-step explanation:
The formula for substantial presence test is;
SBT = (Total of number of days present in the current tax year) + (1/3)(number of days in the year that was before the tax year) + (1/6)(number of days in the year that was two years before the tax year)
From the question, present tax year is 2019 and number of days is 96 days.
Year before tax year is 2018 and number of days is 198 days
2 years before tax year is 2017 and number of days is 66 days.
Thus;
SBT = 96 + ((1/3)198) + ((1/6)66)
SBT = 173 days
Translate the sentence into an equation.
Seven times the sum of a number and 2 is 6.
Use the variable y for the unknown number.
Answer:
7(y+2)=6
Step-by-step explanation:
its right
Divide polynomials using long division
(10h+20)÷(h+2)
Answer:
10
Step-by-step explanation:
Put the h+2 on the outside and 10h+20 on the inside
h+2 can go into 10h+20 ten times.
So the final answer is 10
Write −1.05 as a mixed number in simplest form.
Answer:
-1 1/20.
Step-by-step explanation:
0.05 = 5/100
= 1/20
So -1.05 = -1 1/20.
can someone please help me
Answer:
Multiply 7 by 3.
Step-by-step explanation:
In PEMDAS, parenthesis, exponents, multiply, divide, addition, subtratcion, you start with parenthesis first. Then you look inside the parenthesis, and ythere is no division problems. So you do the multiplication inside the parenthesis.
In a school auditorium there are 33 seats in each row of seats how many rows are needed for 528. Students to each have a seat
Answer:
16
Step-by-step explanation:
just divide 528 by 33
A friend of mine is giving a dinner party. His current wine supply includes bottles of zinfandel, of merlot, and of cabernet (he only drinks red wine), all from different wineries. If he wants to serve bottles of zinfandel and serving order is important, how many ways are there to do this? If bottles of wine are to be randomly selected from the for serving, how many ways are there to do this? If bottles are randomly selected, how many ways are there to obtain two bottles of each variety? If bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? If bottles are randomly selected, what is the probability that all of them are the same variety?
Answer:
Explained below.
Step-by-step explanation:
The complete question is:
A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 12 of cabernet (he only drinks red wine), all from different wineries. a. If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? b. If 6 bottles of wine are to be randomly selected from the 30 for serving, how many ways are there to do this? c. If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? d. If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? e. If 6 bottles are randomly selected, what is the probability that all of them are the same variety?
Solution:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
Permutation is the number of ways to select k items from n distinct items in a specific order.
The formula to compute the permutation or arrangement of k items is:
[tex]^{n}P_{k}=\frac{n!}{(n-k)!}[/tex]
(a)
The number of ways to serve 3 bottles of zinfandel, with a specific order is:
[tex]^{8}P_{3}=\frac{8!}{(8-3)!}=\frac{8\times7\times6\times5!}{5!}=336[/tex]
(b)
The number of ways to select 6 bottles from the 30 is:
[tex]{30\choose 6}=\frac{30!}{6!(30-6)!}=\frac{30!}{6!\times 24!}=593775[/tex]
(c)
The number of ways to select two bottles of each variety is:
[tex]{8\choose 2}\times {10\choose 2}\times {12\choose 2}=\frac{8!}{2!\times6!}\times \frac{10!}{2!\times8!}\times \frac{12!}{2!\times10!}[/tex]
[tex]=\frac{12!}{(2!)^{3}\times 6!}\\\\=83160[/tex]
(d)
Compute the probability of selecting two bottles of each variety if 6 bottles are selected:
[tex]P(\text{2 bottles of each})=\frac{83160}{593775}=0.14[/tex]
(e)
Compute the probability of selecting the same variety of bottles, if 6 bottles are selected:
[tex]P(\text{Same Variety})=\frac{{8\choose 6}+{10\choose 6}+{12\choose 6}}{{30\choose 6}}[/tex]
[tex]=\frac{28+210+924}{593775}\\\\=0.0019570\\\\\approx 0.002[/tex]
Need for a test !!!!!!!!!!
You have 37.72 g of a material. What volume would this sample occupy if the material has the density listed below? *
5.55 g/cm^3
Answer:
6.79cm^3Step-by-step explanation:
Given data
mass m=37.72g
density=5.55 g/cm^3
volume v=?
We know that density is
density = mass/volume
Substituting into the expression we have
5.55 g/cm^3=37.72/v
cross multiply we have
5.55v=37.72
v=37.72/5.55
v=6.79cm^3
The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x. Which statement is true?
Complete question :
The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x.
Which statement is true?
a.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 20.
b.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 4.
c.) For every extra flyer used in advertising, the attendance increases by 20 people.
d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Answer: d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Step-by-step explanation:
Given the regression equation; y = 4x + 20;
Where y = number of people attending a picnic
x = number of flyers used to advertise it
In the equation;
y = predicted variable ; x = predictor variable ; gradient or slope = 4
The slope or gradient is the rate of change un the response variable with respect to a unit change in the independent variable.
Here, the slope value is +4 and is thus interpreted to mean that, for each 1 unit change in the independent variable (number of flyers shared), there is a corresponding increase in the response variable (number of attendees) by a unit of 4.
Answer:
d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Step-by-step explanation:
582 x 23 ≈ __________ x __________ = 12,000
can someone please help me with this math problem
Answer:
600 x 20 = 12000
Step-by-step explanation:
582 rounds to 600, and 23 rounds to 20.
The equation said the answer was equal to 12,000 and 600 multiplied by 20 equals 12,000.
If p=-4 and q=5 evaluate the following:
pq-(p-q)
= -11
p^2+3q
Answer:
pq - (p-q) = -11 checked
Step-by-step explanation:
p= -4, q = 5,
pq= -20, p-q = (-4) - 5 = -9
pq - (p-q) = -20 - (-9) -20 +9 = -11
10 points if you answer
Answer:
tbh i think it b or c
Step-by-step explanation:
i domnt really know about slope that well but i think it is c
Answer:
i think it is a
Step-by-step explanation:
The perimeter of a rectangular outdoor patio is 66 ft. The length is 3 ft greater than the width. What are the dimensions of the patio?
Answer:
width = 15 ft
length = 18 ft
Step-by-step explanation:
lets assume the width is w, and length is l.
For the first equation, we all know that a rectangle is 2 widths and 2 lengths added up, which in "math" language looks like this:
2w+2l= 66
for the second equation, the problem says that the length is 3 ft greater than the width. From there, we can derive the equation:
w+3 = l
Now you can substitute one of the variables, length or width, but it is easier to do length. The equation ends up being:
2(w+3) + 2w = 66
Distributive property:
2w+6+2w = 66
which is equal to:
4w+6 = 66
which finally is:
w=15 ft.
Now that we know the width, we can just add 3 to the width to get the length, according to the problem. You get:
L = 18 ft.
Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.
Answer:
The answer is C : $115.54
Step-by-step explanation:
If you add every single items cost together, the total is $109.00
60 + 14 = 74
10 + 25 = 35
74 + 35 = $109
You then caculate what 6% percent of 109 is = $6.54
After that, you add the total and percent together
$6.54 + $109.00 = $115.54
Answer:answer is c
Step-by-step explanation:I took edge 2022
An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100 and a standard deviation of 15, what is the minimum IQ required for admission into the organization?
• Use Excel, and round your answer to the nearest integer.
Provide your answer below:________.
Answer:
The minimum IQ score will be "126".
Step-by-step explanation:
The given values are:
Mean
[tex]\mu = 100[/tex]
Standard deviation
[tex]\sigma=15[/tex]
Now,
⇒ [tex]P(z>x)=4 \ percent \ i.e., 0.04[/tex]
⇒ [tex]P(z>\frac{x- \mu}{\sigma} )=0.04[/tex]
⇒ [tex]1-P(z \leq \frac{x-100}{15})=0.04[/tex]
⇒ [tex]\frac{x-100}{15}=z0.96[/tex]
[tex]=NORMDIS(z=0.96)[/tex]
[tex]=1.751[/tex]
⇒ [tex]x=100+15\times 1.751[/tex]
[tex]=126.265 \ i.e., 126[/tex]
(3)/(5)x = (2)/(5)x + 8
Answer: x=-19
Step-by-step explanation:
Given g(x) = -3x + 1, find g(2).
Answer:
- 5
Step-by-step explanation:
Step 1:
g ( x ) = - 3x + 1 Function
Step 2:
g ( x ) = - 3 ( 2 ) + 1 Input x
Step 3:
g ( x ) = - 6 + 1 Multiply
Answer:
g ( x ) = - 5 Add
Hope This Helps :)
Hello tell me a result of a mathematical problem porfa is if pedro is 109 and Angela has 5,000 how much do they have in total?
Answer:
5,109
Step-by-step explanation:
:) please give brainliest
What is the minimum possible value of this decimal? Use words, pictures, or numbers to explain your reasoning.
Answer:
if 2.4 is there it will become -2. 4
Help. (Math) The following construction was performed. What distance did the compass have to be set to sweep the two arcs through point T?
1. RP
2. QR
3. QT
4. QP
Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.)
f(x) = x2 + 7x
f(0) = 0
Correct: Your answer is correct.
f(3) = 30
Correct: Your answer is correct.
f(−3) = −12
Correct: Your answer is correct.
f(a) = a
Incorrect: Your answer is incorrect.
f(−x) =
f
1
a
=
Answer:
a) The function is equal to 0 when [tex]x = 0[/tex].
b) The function is equal to 30 when [tex]x = 3[/tex].
c) The function is equal to -12 when [tex]x = -3[/tex].
d) The function is equal to [tex]a\cdot (a+7)[/tex] when [tex]x = a[/tex].
e) The function is equal to [tex]x\cdot (x-7)[/tex] when [tex]x = -x[/tex].
Step-by-step explanation:
To this respect we must keep in mind that this exercise consists in evaluating given function at different values. Let [tex]f(x) = x^{2}+7\cdot x[/tex] the function to be evaluated:
a) [tex]x = 0[/tex]
[tex]f(0) = 0^{2}+7\cdot (0)[/tex]
[tex]f(0) = 0[/tex]
The function is equal to 0 when [tex]x = 0[/tex].
b) [tex]x = 3[/tex]
[tex]f(3) = 3^{2}+7\cdot (3)[/tex]
[tex]f(3) = 30[/tex]
The function is equal to 30 when [tex]x = 3[/tex].
c) [tex]x = -3[/tex]
[tex]f(-3) = (-3)^{2}+7\cdot (-3)[/tex]
[tex]f(-3) = -12[/tex]
The function is equal to -12 when [tex]x = -3[/tex].
d) [tex]x = a[/tex]
[tex]f(a) = a^{2}+7\cdot a[/tex]
[tex]f(a) = a\cdot (a+7)[/tex]
The function is equal to [tex]a\cdot (a+7)[/tex] when [tex]x = a[/tex].
e) [tex]x = -x[/tex]
[tex]f(-x) = (-x)^{2}+7\cdot (-x)[/tex]
[tex]f(-x) = x^{2} -7\cdot x[/tex]
[tex]f(-x) = x\cdot (x-7)[/tex]
The function is equal to [tex]x\cdot (x-7)[/tex] when [tex]x = -x[/tex].
A certain code is a sequence of 7 digits. What is the probability of generating 7 digits and getting the code consisting of 1, 2, . . ., 7 if each digit can be repeated?
Answer:
The code has 7 digits:
Here you are asking:
"What is the probability that the code is consisting only of the digits {1, 2, 3, 4, 5, 6, 7}?"
Ok, first we must calculate the number of all the possible codes.
Suppose that each digit is an independent event.
Each one of those events has 10 possible outcomes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
And we have 7 of those.
The total number of possible combinations is equal to the product of the number of outcomes for each event, then the total number of possible combinations is:
C = 10^7.
Now let's calculate the number of possible codes if we only use the digits in the restriction.
We can do exactly the same as above, but now in each case, we have 7 possible outcomes for each digit, then in this case the number of possible combinations is:
c = 7^7.
Now the probability of generating at random a code that only uses the digits {1, 2, 3, 4, 5, 6, 7} is equal to the quotient between the number of codes that only use these digits, and the total number of possible codes.
P = c/C = (7^7)/(10^7) = (7/10)^7 = 0.082
In a sample of 1000 U.S. adults. 217 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement.
Find the probability that both adults think most celebrities are good role models
(Round to three decimal places as needed.)
Find the probability that neither adult thinks most celebrities are good role models
(Round to three decimal places as needed.)
Find the probability that at least one of the two adults thinks most celebrities are good role models
(Round to three decimal places as needed)
Answer:
(a) 0.047
(b) 0.613
(c) 0.387
Step-by-step explanation:
In a sample of 1000 U.S. adults 217 think that most celebrities are good role models.
The proportion of U.S. adults who think that most celebrities are good role models is, p = 0.217.
Two U.S. adults are selected from this sample without replacement.
Let X denote the number of U.S. adults who think that most celebrities are good role models.
Both the individuals are independent of each other.
The random variable X follows a binomial distribution with parameters n = 2 and p = 0.217.
The probability mass function of X is:
[tex]P(X=x)={2\choose x}(0.217)^{x}(1-0.217)^{2-x};x=0,1,2[/tex]
(a)
Compute the probability that both adults think most celebrities are good role models as follows:
[tex]P(X=2)={2\choose 2}(0.217)^{2}(1-0.217)^{2-2}\\=1\times 0.047089\times 1\\=0.047[/tex]
Thus, the probability that both adults think most celebrities are good role models is 0.047.
(b)
Compute the probability that neither adult thinks most celebrities are good role models as follows:
[tex]P(X=0)={2\choose 0}(0.217)^{0}(1-0.217)^{2-0}\\=1\times 1\times 0.613089\\=0.613[/tex]
Thus, the probability that neither adult thinks most celebrities are good role models is 0.613.
(c)
Compute the probability that at least one of the two adults thinks most celebrities are good role models as follows:
[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-0.613\\=0.387[/tex]
Thus, the probability that at least one of the two adults thinks most celebrities are good role models is 0.387
6. Find CA*
Please help it’s so confusing
Answer:
The answer is 19.
Step-by-step explanation:
3x+1+12=9x+1
3x+13=9x+1
13=6x+1
12=6x
x=2
3(2)+1+12=19
Answer:
CA = 19
Step-by-step explanation:
3x + 1 + 12 = 9x + 1
combine like terms
3x + 13 = 9x + 1
Subtraction property of equality
3x - 3x + 13 = 9x - 3x + 1
13 = 6x + 1
Subtraction property of equality
13 - 1 = 6x + 1 - 1
12 = 6x
Division property of equality
12/6 = 6x/6
2 = x
Symmetric property of equality
x = 2
Substitute x for 2
9(2) + 1 = 19
How many times can 8 go into 0?
Answer:
0 times because 8 is greater than 0
Step-by-step explanation:
Answer:
the answer would be 0 because if you try to put 8 into 0, it wont so your answer would be 0
12. Which equation describes the line with a slope of 2 that contains the point (4, -3)?
a. y - 4 = 2(x+3)
c. y +3 = 2(x-4)
b. 2(y - 3) = x +4
d. 2(y+4) =x+3
308 car stereos were recently sold in a car audio store. 112 had a CD player, 115 had a cassette player, and 40 had both a CD and a cassette player. How many had a CD player only
Answer: The number of car stereos had a CD player only = 72
Step-by-step explanation:
As per given,
Number of car stereos had CD player = 112
Number of car stereos had both CD and a cassette player= 40
Then, the number of car stereos had a CD player only = (Number of car stereos had CD player ) -(Number of car stereos had both CD and a cassette player)
= 112- 40
= 72
Hence, The number of car stereos had a CD player only = 72
whats 2+2 will offer nothing
Answer:
4
Step-by-step explanation:
A database system assigns a 32-character ID to each record, where each character is either a number from 0 to 9 or a letter from A to F. Assume that each number or letter is equally likely. Find the probability that at least 16 characters in the ID are numbers. Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answer:
0.948
Step-by-step explanation:
Given that:
Number of character ID = 32
Numbers = 0 - 9 = 10
Alphabets = A - F = 6
Likelihood of each number or alphabet is equal
Probability that atleast 16 characters in the ID are numbers
Probability of success (p) = required outcome / Total possible outcomes
p = 10/(10 + 6) = 5/8
P(at least 16 numbers), similar to 1 - p(at most 15)
Using the specified calculator :
Binomcdf(number of trials, p, 15) = 0.0520
1 - 0.0520 = 0.948
Segments CD, GH, and JK intersect at point A. Line AB bisects Line JK. Find the values of a and y
Answer:
x = 67.5°
y = 27.5°
Step-by-step explanation:
Find x:
m<CAJ = 22.5° (given)
<CAJ and <DAK are vertical angles. Vertical angles are congruent, therefore,
m<DAK = m<CAJ
m<DAK = 22.5° (substitution)
m<BAK = right angle (AB is perpendicular to JK)
Therefore,
m<BAK = 90°
m<DAK + x° = m<BAK (Angle addition postulate)
22.5° + x° = 90° (substitution)
Subtract 22.5 from both sides
x = 90° - 22.5°
x = 67.5°
Find y:
m<CAH = 130° (given)
m<CAH + m<DAK + m<HAK = 180° (Angles on a straight line)
130° + 22.5° + m<HAK = 180° (Substitution)
152.5 + m<HAK = 180°
Subtract 152.5 from both sides
m<HAK = 180° - 152.5°
m<HAK = 27.5°
y = m<HAK (vertical angles are congruent)
y = 27.5° (substitution)
The value of x and y from the figure is 27.5 and 62.5 degrees
To get the value of y, we will take the sum of angle on a straight line JK to have:
22.5 + 130 + x = 180
152.5 + x = 180
x = 180 - 152.5
x = 27.5 degrees
For the angle x, the sum of x and y from the diagram is complementary. Hence;
x + y = 90
y = 90 - x
y = 90 - 27.5
y = 62.5 dgrees
Hence the value of x and y from the figure is 27.5 and 62.5 degrees
Learn more on angles here: https://brainly.com/question/24775470
The contents of seven similar containers of sulfuric acid are 9.8, 10.2, 10.4, 9.8,10.0, 10.2, and 9.6 liters. Find a 95% confidence interval for the mean contents of all such containers, assuming an approximately normal distribution. (Round your answers into two decimal places.)
Answer:
The 95 confidence interval is [tex]9.738 < \mu < 10.262 [/tex]
Step-by-step explanation:
The sample size is n = 7
The sample data is 9.8, 10.2, 10.4, 9.8,10.0, 10.2, and 9.6 liters
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n }[/tex]
=> [tex]\= x = \frac{ 9.8 + 10.2 + 10.4 +\cdots + 9.6}{7 }[/tex]
=> [tex]\= x = 10[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum ( x_i - \= x)^2 }{n-1} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ ( 9.8 - 10)^2 + ( 10.2 - 10)^2+ \cdots + ( 9.6 - 10)^2}{7-1} }[/tex]
=> [tex]\sigma =0.283[/tex]
Note : We are making use of t distribution because n is small i.e n < 30
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 7 - 1[/tex]
=> [tex]df = 6[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of at a degree of freedom of is
[tex]t_{\frac{\alpha }{2}, 6 } = 2.447 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} , 6} * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.447 * \frac{0.283}{\sqrt{7} }[/tex]
=> [tex]E = 0.262 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]10 -0.262 < \mu <10 + 0.262[/tex]
=> [tex]9.738 < \mu < 10.262 [/tex]
