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3 years ago

14 and 11/12 + 3 and 1/6

1 answer:

8 0

let's firstly convert the mixed fractions to improper fractions and then add them up, bearing in mind that the LCD from 12 and 6 will just be 12.

$\bf \stackrel{mixed}{14\frac{11}{12}}\implies \cfrac{14\cdot 12+11}{12}\implies \stackrel{improper}{\cfrac{179}{12}}~\hfill \stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{179}{12}+\cfrac{19}{6}\implies \stackrel{\textit{using the LCD of 12}}{\cfrac{(1)179~~+~~(2)19}{12}}\implies \cfrac{179+38}{12}\implies \cfrac{217}{12}\implies 18\frac{1}{12}$

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There are 180 students in the gym for an assembly. if 5% of them are girls, how many girls are there

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3 years ago

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(-8 ÷ 4) + 5 + 4(3 - 6)=

MAVERICK [17]

Answer:

-9

Step-by-step explanation:

(-8/4)+5+4(3-6)

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For any set of n measurements, the fraction included in the interval y − ks to y + ks is at least 1 − 1 k2 . This result is know

djverab [1.8K]

Answer:

The interval [2.5, 12.5]

Step-by-step explanation:

<em>Tchebysheff’s Theorem states that for any distribution of probabilities if k ≥ 1, at least </em>

$100(1-\frac{1}{k ^2 })\%$

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We need then to find a k greater or equal than 1 such that

$100(1-\frac{1}{k ^2 })\%= 75\%$

or the equivalent equation

$(1-\frac{1}{k ^2 })= 0.75$

Finding the value of k

$(1-\frac{1}{k ^2 })=0.75\Rightarrow \frac{1}{k^2}=0.25\Rightarrow k^2=\frac{1}{0.25}\Rightarrow k^2=4\Rightarrow k=2$

So, applying Tchebysheff’s Theorem, the manager can assure that the number of employees that can be absent in a given day, lies in the interval

[7.5-2*2.5, 7.5+2*2.5] = [2.5, 12.5]

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3 years ago

Question 10

Agata [3.3K]

Answer:

A = 21

J = 2A = 42

C= A+5 =26

Step-by-step explanation:

C= christines text messages

J = jims messages

A = ali messages

Jim sent 2 times as many messages as Ali.

J = 2A

Ali sent 5 fewer messages than Christine.

A =C-5

A+5 =C

Christine, Jim, and Ali sent a total of 89 text messages

C+J+A = 89

substitute

C +5= A

A+5 +J+A = 89

combine like terms

2A +5+J = 89

now substitute J = 2A

2A +5+2A = 89

combine like terms

4A +5 = 89

subtract 5 to each side

4A +5-5 = 89-5

4A = 84

divide by 4

A = 21

J = 2A = 42

C= A+5 =26

5 0

2 years ago

Find the distance between the pair of coordinates: (-4, -3) and (-8, 7). A 10.77 B 3.74 C 04 D 12.65 Question

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1 year ago