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3 years ago

How to graph x+y=3 and x-y=1

2 answers:

7 0

Put them in y= mx+b format. .
x+y=3 ---> y= -x+3
x-y=1 ---> y= x-1
The x's are your slope and the numbers are your y-intercept.
Hope it helps!

stich3 [128]3 years ago

6 0

Isolate y in both the equations so
x+y=3 x-y=1
y=-x+3 y=x-1
your y-intercept is 3 y-intercept is -1
and slope is -1/1 slope is 1/1

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If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

$P(X=x) = p(1-p)^{x-1}\\$

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0

3 years ago

Rectangle ABCD is congruent to rectangle. Which sequence of transformations could have been used to transform rectangle ABCD to

il63 [147K]

Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down.

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3 years ago

The sum of three consecutive numbers is 72 what is the smallest of the numbers

mylen [45]

Answer:

Step-by-step explanation:

Suppose,

the first number = x

the second number = x+1

the third number = x+1+1 = x+2

Question wise,

x+x+1+x+2 = 72

3x+3 = 72

3x = 72-3 = 69

x = 69/3 = 23

so the numbers are,

23,(23+1)=24 and (23+2)=25

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2 years ago

PROBLEM #1

lesantik [10]

Answer:

500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

1. Keith has $500 in a savings account at the beginning of the summer.

Initial amount: 500

2. He wants to have at least $200 in the account by the end of summer.

Final amount ≥ 200

3. He withdraws $25 a week for his cell phone bill.

Call w the number of weeks

Withdrawls = 25w

4. Write an inequality that represents Keith's situation.

Create your model: Final amount = Initial amount - withdrawals ≥ 500

500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

500 - 200 ≥ 25w

300 ≥ 25w

300/25 ≥ w

12 ≥ w

w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

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3 years ago

Kalvin tosses a coin five days in a row and gets tails every time. Do you think there is something wrong with the coin? How can

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I don’t think there is anything wrong with the coming there is just a 50% chance that It would land on tails and there’s a 50% chance that it will land on heads ‍♀️☺️

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3 years ago