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2 years ago

The traffic lights at three different road crossings change after every 48 seconds, 72

Mathematics

1 answer:

AURORKA [14]2 years ago

4 0

Answer:

7 : 7 : 12 am

Step-by-step explanation:

This question pretty much requires us to obtain the lowest number that is common to all three times. The qay to obtain this is by finding the LCM of all three numbers.

This is given as;

48 = 2 × 2 × 2 × 2 × 3

72 = 2 × 2 × 2 × 3 × 3

108 = 2 × 2 × 3 × 3 × 3

The LCM is = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 432 seconds.

Converting to minutes by dividing by 60, the time is = 432 ÷ 60 min = 7 min 12 sec

The next time they would change simultaneously is; 7am + 7 min 12 sec = 7 : 7 : 12 am

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Nimfa-mama [501]

Answer:

Step-by-step explanation:

Use definition of conditional probability:

$P(A|B)=\dfrac{P(A\cap B)}{P(B)},$

where

A = the student is a freshman,

B = the student is a male

From the table,

$P(B)=\dfrac{4+6+2+2}{4+6+2+2+3+4+6+3}=\dfrac{14}{30}=\dfrac{7}{15}\\ \\P(A\cap B)=\dfrac{4}{4+6+2+2+3+4+6+3}=\dfrac{4}{30}=\dfrac{2}{15}$

So,

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3 years ago

Antônia tem um caneca com a capacidade de 2/3Lde água. Que fração dessa caneca ela encherá com 1/2L de água?

ZanzabumX [31]

Answer:

The fraction of cup filled with water is 3/4.

Step-by-step explanation:

Antonia has a mug with a capacity of 2/3L of water. What fraction of that mug will she fill with 1/2L of water?

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Fraction of amount of water to the capacity of mug is

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3 years ago

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Zina [86]

Answer:

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Step-by-step explanation:

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3 years ago

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EleoNora [17]

Answer:

x=43

Step-by-step explanation:

Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.

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3 years ago

Hey how do you get from standard form to vertex form?

vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be $\mathbf{ax^{2}+bx+c=0}$ where x is the variable.

Completing the square method is as follows:

send the constant term to other side of equal $\mathbf{ax^{2}+bx=-c}$
divide the whole equation be coefficient of $\mathbf{x^{2}}$ , this will give $\mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}$
add $\mathbf{(\frac{b}{2a})^{2}}$ to both side of equality $\mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}$
Make one fraction on the right side and compress the expression on the left side $\mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}$
rearrange the terms will give the vertex form of standard quadratic equation $\mathbf{a(x+\frac{b}{2a})^{2}-\frac{b^{2}-4ac}{4a}=0}$

Follow the above procedure will give the vertex form.

(NOTE : you must know that $\mathbf{(x+a)^{2}=x^{2}+2ax+a^{2}}$ . Use this equation in transforming the equation from step 3 to step 4)

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3 years ago