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2 years ago

Which of the following sets of numbers have a LCM of 60? a. 3, 12, 8 b. 4, 10, 12 c. 10, 8, 20 d. 15, 30, 3

Mathematics

1 answer:

Levart [38]2 years ago

7 0

Answer:

Im pretty sure its b. 4, 10, 12

Step-by-step explanation:

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Which property is shown by 6+9=9+6?

Zepler [3.9K]

I think associative property of addition

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2 years ago

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Find the Slope of the line through each pair of points: (-4,11),(1,-9)

kogti [31]

Answer:

rise/run= -20/5= -4/1=-4 slope

or you sound use the slope formula (y2-y1)/(x2-x1)

(-9-11)/(1+4)

-20/5

-4

Step-by-step explanation:

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2 years ago

a taste test asks people from Texas and California which pasta they prefer, brand A or brand B. this table shows the results

ELEN [110]

Answer:

Step-by-step explanation:

Two events A and B are independent when

$P(A|B)=P(A),$

where $P(A|B)$ is the probability that event A occurs given that event B has occured.

A = randomly selected person is from California

B = randomly selected person preferred brand A

A|B = being a person from California and preferring brand A.

Hence,

$P(A)=\dfrac{150}{275}=\dfrac{6}{11}\approx 0.55\\ \\P(B)=\dfrac{176}{275}=\dfrac{16}{25}=0.64\\ \\P(A|B)=\dfrac{96}{176}=\dfrac{6}{11}\approx 0.55$

Since $P(A)=P(A|B),$ events are independent.

4 0

2 years ago

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

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2 years ago

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta

kirza4 [7]

Remark

Without being given choices, we can get answers but they may not be listed among your. The important think is to be working in the same units

Convert miles/hour to m/sec

$\frac{2.5 mi}{h}*\frac{1 h}{3600 sec}*\frac{1.6 km}{1 mi}*\frac{1000 m}{1 km}$

Now just multiply all the numerators together and divide by all the denominators.

Numerators: 2.5 * 1.6 * 1000 = 4000

Denominators: 3600

numerator/denominator = 4000/3600 m/s = 1.111 m/s

Conclusion

Talia is a much faster swimmer than Alina because 1.8 is greater than 1.11. Both numbers are in m/s.

2.5 miles / hour = 1.

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2 years ago

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