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Leno4ka [110]
3 years ago
7

WILL GIVE BRAINLIEST!!!!! Mariah cuts a rectangle along its diagonal. Two congruent triangles are created. The two angles create

d by the diagonal have a sum of 90°. The smaller angle is 1/5 the measure of the larger angle. Let x represent the measure of the larger angle and let y represent the measure of the smaller angle. What is a system of equations that can be used to find the measures of the two angles?
A. x + y = 90 and y = x - 1/5
B. y = 90 + x and y = 5 + x
C. y = 90 + x and y = 5x
D. x + y = 90 and y = x/5
Mathematics
1 answer:
pogonyaev3 years ago
7 0

Answer:

Stated Below:

Step-by-step explanation:

x + y = 90 because the 2 angles add up to 90 .

Now, m < x = five times  m < y, so x = 5y or y = x/5

So the last choice is the correct one.

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One hundred items are simultaneously put on a life test. Suppose the lifetimes
romanna [79]

Answer:

a) \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b) \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

Step-by-step explanation:

Given:

The lifetimes of the individual items are independent exponential random variables.

Mean = 200 hours.

Assume, Ti be the time between ( i-1 )st and the ith failures. Then, the T_{i} are independent with \mathrm{T}_{\mathrm{i}} being exponential with rate \frac{(101-i)}{200} .

Therefore,

a) E[T]=\sum_{i=1}^{5} E\left[\tau_{i}\right]

=\sum_{i=1}^{5} \frac{200}{101-i}

\therefore \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b)

The variance is given by, \mathrm{Var}[\mathrm{T}]=\sum_{i=1}^{5} \mathrm{Var}[T]

\therefore \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

7 0
3 years ago
Matthew wants to estimate the mean height of students attending his college. He records the heights of 100 randomly selected stu
Mnenie [13.5K]

The correct option that shows the population of the research carried out by Matthew is;

<u><em>Option D; all the students attending the college</em></u>

<u><em></em></u>

  • We are told that Matthew wants to estimate the mean height of students attending his college.

  • Now, let us say the total number of students in his college is x. If he decides to select 100 students randomly to record their height, it means this 100 students is a sample out of the total number of students which is x that is the population.

        In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.

Read more at; brainly.com/question/6028584

6 0
2 years ago
Which equation shows 6(x + 4) = 2( y + 5) solved for y? A. y = x + 3 B. y = 3x + 5 C. y = 3x + 7 D. y = 3x + 17
UNO [17]

Answer:

C

Step-by-step explanation:

Given

6(x + 4) = 2(y + 5) ← distribute parenthesis on both sides of the equation

6x + 24 = 2y + 10 ( subtract 10 from both sides )

6x + 14 = 2y ( divide all terms by 2 )

3x + 7 = y, hence

y = 3x + 7 → C

4 0
3 years ago
Brendan and Marie are each assigned a paper for a class they share. Brendan decides to write 41 pages at a time while Marie deci
hram777 [196]

Answer:

18+18=38, since they did the same number that's the least it could be

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On tuesday shanice bought five hats. on wednesday half of all the hats that she had were destroyed. equation for... on thursday
wlad13 [49]

If X is the number of hats . . . reading backwards . . .

Thursday = Wednesday + Tuesday

17 = 1/2 X + 5

Solving:

17 - 5 = 1/2 X

12 = 1/2 X

24 = X

So she had 24 on Monday.



8 0
3 years ago
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