Solve the system of equations. Must find x, y, and z. Help.

Mathematics

1 answer:

valina [46]3 years ago

7 0

Answer:

x = -1 and y = 2 and z = 1

Step-by-step explanation:

This website can help:

https://www.wolframalpha.com/widgets/view.jsp?id=83d5da9f6682ad1b6002473f314c3b4f

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In which of the following quadrilaterals are consecutive and opposite angles always congruent?

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The quadrilaterals whose consecutive and opposite angles are always congruent are the square and the rectangle. All of the angles of the square and the rectangle are 90 degrees. The consecutive angles of the parallelogram and the rhombus are not equal.

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For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp

Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

$\frac{1}{365}$

a) Probability that exactly 3 people have same birthday = $\frac{1}{365^3}$

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = $\frac{1}{365^3}$

Expected value of days = np = $\frac{1}{365^2}$

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

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jerry has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how are quarters and how many a

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Eq. 1 .10x + .25y = 9.45
Eq. 2 x + y = 60 rewrite as x = 60 - y and substitute into equation 1.

.10(60 - y) + .25y = 9.45
6 - .1y + .25y = 9.45
6 + .15y = 9.45
.15y = 3.45
y = 23
60 - 23 = 37

23 quarters
37 dimes

23* .25 = 5.75
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Evaluate each expression when n = 4 and b = 7

alexgriva [62]

Answer:

1. 5 2. 31 3. 55

Step-by-step explanation:

1. 2(4)-3=8-3=5

2. 4(7)+3=28+3=31

3. 3(4)+8(7)-13=12+56-13=56-1=55

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