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Delvig [45]
4 years ago
6

Pick the points that make the systems of equations true.

Mathematics
1 answer:
nata0808 [166]4 years ago
3 0

First, to the author of this piece of instruction.  A system of equations would give multiple curves which intersect, as depicted here by a pair of crossing lines.  But presumably here the solution space is intended to be the green area.  That makes this a system of inequalities, not of equations.  Fix it please, you're confusing the children.

We check each point to see if it's in the green space.

a) (2,2)  CHECK

b) (0,4) nope

c) (6,1) CHECK

d) (1,6) nope

e) (-2,8) nope

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Answer:  a) \dfrac{799}{31250}  b) \dfrac{30451}{31250}

Step-by-step explanation:

Since we have given that

Number of days in a year = 365

Number of students = 50

Probability that no two students share the same birthday. It means each student has different birthday.  

Probability(no two students share the same birthday)=\dfrac{365-1}{365}\times \dfrac{365-2}{365}........\times \dfrac{365-50}{365}

Probability(no two students share the same birthday)=\dfrac{^{365}P_{50}}{365^{50}}

Probability(no two students share the same birthday)=\dfrac{799}{31250}\approx 0.025568

Probability that at least one of the students has the same birthday as another student in the class is given by

1-P(\text{no student share the same birthday})\\\\=1-\dfrac{799}{31250}\\\\=\dfrac{30451}{31250}=0.974432

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A medical researcher wants to estimate the difference in the proportions of women with high blood pressure for women who use ora
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1.) What is the difference between the proportion of women with high blood pressure who use oral contraceptive and those who don't?

2.) P1 - P2

3.)

Let P` = population statistic

P1` - P2`

Step-by-step explanation:

Since the experiment is to know if there is a difference between high blood pressure in women who use oral contraceptives or not ; the we can frame the research question thus :

What is the difference between the proportion of women with high blood pressure who use oral contraceptive and those who don't?

2.) P1 - P2

P1 = All women who have high blood pressure and use oral contraceptive

P2 = All women who high blood pressure who don't use oral contraceptive

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P1` - P2` ; (0.15 - 0.10)

P1` = women in the sample (900) who have high blood pressure and use oral contraceptive

P2` = women in the sample (900) who high blood pressure who don't use oral contraceptive

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