1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SCORPION-xisa [38]
3 years ago
14

Gwendolyn was physically present in the United States for 96 days in 2019, 198 days in 2018, and 66 days in 2017. Under the subs

tantial presence test formula, how many days is Gwendolyn deemed physically present in the United States in 2019 g
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

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

You might be interested in
Can you construct a triangle that has side lengths 2 yd, 9 yd, and 10 yd?
yan [13]

Yes


The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.


This happens for all possible couples in your case:


2+9=11>10


2+10=12>9


9+10=19>2

3 0
3 years ago
Find the T.A. for the prism and also find the L.A. for the prism
garik1379 [7]
Use <span><span> bh</span> + (S</span>1+ S2 + S3<span>)H to find the T.A.
</span>Triangle: base 'b', height 'h', and sides S1, S2 and S3<span> 
</span>use L=Ph to find L.A. (<span>the surface area of all sides, or faces, that are not the base)</span>
L= the lateral area of the prism, P= the perimeter of one base, h= the height of the prism
5 0
3 years ago
Read 2 more answers
An article in the Journal of Materials Engineering (Vol 11, No. 4, 1989, pp. 275-282) reported the results of an experiment to d
RSB [31]

Answer:

Step-by-step explanation:

Hello!

You have two variables of interest

X₁: failure stress of a NiCrAlZr coating after nine 1-hr cycles.

X₂: failure stress of a NiCrAlZr coating after six 1-hr cycles.

a)

To be able to estimate the difference between the means using a confidence interval, you need that both variables have a normal distribution and to determine whether or not the population variances are equal.

If the population variances are equal, σ₁²=σ₂², you can use a pooled variance t-test

If the population variances are different, σ₁²≠σ₂², you have to use Welch's t-test

Using α: 0.05

The normality test for X₁ shows a p-value of 0.7449 ⇒ You can assume it has a normal distribution.

The normality test for X₂ shows a p-value of 0.9980 ⇒ You can assume it has a normal distribution.

The F-test for variance homogeneity shows a p-value of 0.6968 (H₀:σ₁²=σ₂²) ⇒You can assume both population variances are equal.

b) and c)

You need to test if both population means are the same, the hypotheses are:

H₀: μ₁=μ₂

H₁: μ₁≠μ₂

α: 0.05

t= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ~~t_{n_1+n_2-2}

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{8*4.28+5*5.62}{9+6-2} }= \sqrt{4.7953}= 2.189= 2.19

t_{H_0}= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } = \frac{(16.36-11.48)-0}{2.19*\sqrt{\frac{1}{9} +\frac{1}{6} } } = 4.23

The distribution of this test is a t with 13 degrees of freedom and the test is two-tailed, so to calculate the p-value you have to do the following:

P(t₁₃≤-4.23)+P(t₁₃≥4.23)= P(t₁₃≤-4.23)+[1-P(t₁₃<4.23)]=  0.000492 + (1-0.999508)= 2*0.000492= 0.000984≅ 0.001

The p-value: 0.001 is less than α: 0.05, the decision is to reject the null hypothesis.

I hope it helps!

6 0
3 years ago
A diamond can be classified as either gem-quality or industrial-grade. 80% of diamonds are classified as industrial-grade.
mote1985 [20]

Answer:

a) 0.64

b) 0.21

c) 0.79

Step-by-step explanation:

Percentage of industrial-grade diamonds = 80%

This means, if one diamond is chosen at random, there is 80% chance that it will be of industrial-grade. So,

P(Industrial grade) = 80% = 0.80

Part a)

Probability that 1st diamond is industrial-grade = 0.80

Since, selection of diamonds in independent, the probability that 2nd diamond is also industrial grade = 0.80

The overall probability of both diamonds being industrial-grade will be the product of their individual probabilities, according to the fundamental rule of counting.

So, if two diamonds are chosen at random, the probability that both are industrial grade = 0.80 x 0.80 = (0.80)² = 0.64

Part b)

Following the same logic as we followed in the previous part.

The probability of each of the 7 diamonds being industrial-grade is 0.80, so the probability that all 7 are industrial grade will be:

Probability = 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 = (0.80)^{7} = 0.21

So, if 7 diamonds are chosen at random, the probability that all 7 are industrial grade is 0.21.

Part c)

The event "at least one" is complement of event "none". So, the event "at least one of 7" will be complement of "none of the 7"

If none of the selected diamonds is gem quality, this means all 7 of the diamonds are industrial-grade. So,

The probability that none of the diamonds is gem-quality = The probability that all 7 are industrial-grade = 0.21

So,

The probability that at least one of the 7 selected diamonds is gem-quality = 1 - Probability that none is gem-quality

= 1 - 0.21

= 0.79

Since the probability that atleast one of the 7 randomly selected diamonds is gem-quality is greater than 0.05, it won't be unusual event.

3 0
4 years ago
Using the transitive property of congruence if CD=EF and EF=GH then _____
adelina 88 [10]
Using the transitive property of congruence if CD=EF and EF=GH then CD=GH.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify (-3)(-5)(-2)
    15·2 answers
  • Best estimate for the quotient of 2 5/6 divided by 1/3
    10·1 answer
  • What is the answer to this problem? s/2+3s+1/5=s=3/10
    10·1 answer
  • 3. Landon has 3 black shirts, 2 white shirts, and 2 blue shirts. He also has 2
    10·1 answer
  • Determine the midpoint of the segment with endpoints (–10, –11) and (8, –17).
    14·1 answer
  • Identify each coefficient for 3m. this question is on my homework what Is the answer?
    12·1 answer
  • Line a is represented by the equation y=14x+8. How do these equations compare to line a? Drag and drop the equations into the bo
    13·1 answer
  • Which expressions have the same value as the product of 0.06 X 3.9?
    12·1 answer
  • N - 6 &gt; -4 or 2n - 9 &lt; -13
    11·2 answers
  • Please solve this geometry math problem... I will mark you brainliest
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!