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2 years ago

What is the sample space for choosing an odd number from 1 to 11 at random

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

4 0

Answer:

{1, 3, 5, 7, 9, 11}

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Which expression is equivalent to the expression −2/3(3 - 1/2)(-1)?

emmainna [20.7K]

The fraction 1/3 means 1 out of 3 equally divided parts, so 12 needs to be equally divided into 3 groups. Have students divide the 12 stars into 3 equal groups. Each of the 3 equally divided groups is 1/3 of the total. Thus, 1/3 of 12 is the number in 1group, or 4.

7 0

2 years ago

PLEASE ASAP !!!!! What is the value of x? A. 76° B. 56° C. 66° D. 46°

inna [77]

C)66 because the whole angle is 176

3 0

3 years ago

A runner completed a 26.2-mile marathon in 210 minutes. a. Estimate the unit rate, in miles per minute. Round your answer to the

ivanzaharov [21]

Answer:

Unit rate by which the runner completed the marathon is 0.13 miles per minute.

Step-by-step explanation:

A runner competed a marathon of 26.2 miles in 210 minutes.

we can get unit rate by unitary method.

∵ In 210 minutes a runner completes the distance = 26.2 miles

∴ In 1 minute runner will complete the distance = $\frac{26.2}{210}$

= 0.125 miles per minute

≈ 0.13 miles per minute

Therefore, unit rate by which the runner completed the marathon is 0.13 miles per minute.

6 0

2 years ago

Help againnn. Yes, I’m kinda slow

Leni [432]

So, the right option is 1. so if my ans was helpful u can follow me.

5 0

3 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago