A runner completed a 26.2-mile marathon in 210 minutes.

1 answer:

7 0

26.2. 0.13
------ ÷210. ------
210. 1

The amount miles ran in 1 minute is 0.13 miles.

I don't really know what to do for part b, I don't wanna give a fellow walking dead fan the wrong answer. ;)
BTW I'm a huge fan of the walking dead, that show is my life lml.

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What is the ratio between the LCM of 180 and 594 and the GCF of 180 and 594

aalyn [17]

$180:2=90\\90:2=45\\45:3=15\\15:3=5\\5:5=1\\\\180=\boxed{2}\cdot2\cdot\boxed{3}\cdot\boxed{3}\cdot5\\\\594:2=297\\297:3=99\\99:3=3\\33:3=11\\11:11=1\\\\594=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot3\cdot11$

$LCM(180,\ 594)=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot2\cdot3\cdot5\cdot11=5940\\\\GCF(180,\ 594)=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}=18$

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Vector u has its initial point at (17, 5) and its terminal point at (9, -12). Vector v has its initial point at (12, 4) and its

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$\bf \vec{u}~~ \begin{cases} (17,5)\\ (9,12) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\\\ \vec{v}~~ \begin{cases} (12,4)\\ (3,-2) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\[-0.35em] ~\dotfill$

$\bf 3\vec{u}\implies 3\implies \\\\\\ 2\vec{v}\implies 2\implies \\\\\\ 3\vec{u}-2\vec{v}\implies -\implies + \\\\\\ \implies \\\\[-0.35em] ~\dotfill\\\\ ||3\vec{u}-2\vec{v}||\implies ||||\implies \sqrt{(-16)^2+33^2} \\\\\\ \sqrt{1345}\implies 36.67$

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3 years ago

Let x be a random variable from a binomial distribution with n = 40 and p = 0.9. If a normal approximation is appropriate, give

Dvinal [7]

Answer:

Step-by-step explanation:

Given that x is a random variable from a binomial distribution with n = 40 and p = 0.9.

We find that mean = np= 36 and variance = npq = 3.6

Std dev = square root of variance = 1.897

When we approximate binomial to normal we say

X' is Normal with mean = 36 and std dev = 1.897

X' is N(36, 1.897)

Note:

The condition for binomial approximating to normal is p should be close to 1/2

Here p is 0.9 and also nq=4 is very small.

So normal approximation may not give accurate results.

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3 years ago

The graph of a system of equations with the same slope will have no solution

Andre45 [30]

Answer:

B. Sometimes I am pretty sure

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3 years ago

5 & 10/13 rounded to the nearest tenth ( A 5.7 B.5.2 C.5 D.4.5)

Black_prince [1.1K]

Hello!

ANSWER:

5 10/13 rounded to the nearest tenth is A) 5.7.
___________________________

EXPLANATION:

Convert 5 10/13 to an improper fraction.

First, multiply the denominator by the whole number:

5 × 13 = 65

Next, add that to the numerator:

65 + 10 = 75

This is the new numerator. Place it over the old denominator.

5 10/13 = 75/13

-------------------------------------------------------

Now, convert the improper fraction to a decimal by dividing its numerator by its denominator:

75 ÷ 13 = 5.7692307692

This can be rounded to 5.7.

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3 years ago