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Natasha_Volkova [10]
3 years ago
8

Solve the system y = -x + 7 and y= 0.5(x - 3)2

Mathematics
1 answer:
Damm [24]3 years ago
5 0

Answer:

The solutions of the system of equations are (-1,8) and (5,2)

Step-by-step explanation:

y=-x+7 -------> equation A (equation of a line)

y=0.5(x-3)^{2} ----> equation B (vertical parabola open upward)

Solve the system of equations by graphing

Remember that the solution is the intersection points both graphs

using a graphing tool

The intersection points are (-1,8) and (5,2)

see the attached figure

therefore

The solutions of the system of equations are (-1,8) and (5,2)

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3) You roll a number cube what's the probability of<br> rolling a number higher than 4 and then a 2?
anastassius [24]

Answer:

1/18

Step-by-step explanation:

Probability of getting a number higher than 4=1/3

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Probability of rolling a number higher than 4 and then a 2=(1/3)*(1/6)=1/18

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3 years ago
Write each ratio statement as a fraction and reduce to lowest terms if possible:
qwelly [4]

The answers are:

18 to 24 =  \frac{18}{24} = \frac{3}{4}

5 to 15 =  \frac{5}{15} = \frac{1}{3}

14:42 =  \frac{14}{42} = \frac{1}{3}

15 cents to 18 cents = \frac{15}{18}  = \frac{5}{6}

Explanation:

To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are  \frac{18}{24},  \frac{5}{15}, \frac{14}{42} , and  \frac{15}{18}.

The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.

\frac{18}{24} divide this by 6, which is equivalent to \frac{3}{4}

\frac{5}{15} divide this by 5, which is equivalent to \frac{1}{3}

\frac{14}{42} divide this by 14. which is equivalent to \frac{1}{3}

\frac{15}{18} divide this by 3, which is equivalent to \frac{5}{6}

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Answer:

The probability is 12.66%.

This is a low probability, so it is unlikely for such a combined sample to test positive.

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If the probability of being infected is 0.005, the probability of not being infected is 0.995.

Then, to find the probability of at least one of the 27 people being infected P(A), we can find the complementary case: all people are not infected: P(A').

P(A') = 0.995^{27}

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Then we can find P(A) using:

P(A) + P(A') = 1

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