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Ksju [112]
3 years ago
11

The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fracti

on of employees answered less than of their incoming calls before the second ring?

Mathematics
1 answer:
dexar [7]3 years ago
8 0

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6

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Is 1250mL or 1.25 L bigger
Nadya [2.5K]
1.25 L = 1250 mL making it equal to 1250 mL
8 0
3 years ago
Mr. Wilkins deposited $2,500 in a new account at his bank.
MAXImum [283]

$2835.56 is the closest amount to the balance of the account at the

end of 2 years

Step-by-step explanation:

The formula for compound interest, including principal sum is

A=P(1+\frac{r}{n})^{nt} where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount (the initial deposit or loan amount)
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

Mr. Wilkins deposited $2,500 in a new account at his bank.  

The bank pays 6.5% interest compounded annually on this account.

Mr. Wilkins makes no additional deposits or withdrawals

We need to find the closest amount to the balance of the account at

the end of 2 years

∵ P = $2,500

∵ r = 6.5% = (6.5/100) = 0.065

∵ n = 1 ⇒ compounded annually

∵ t = 2

Substitute all of these value in the formula above to find A

∵ A=2,500(1+\frac{0.065}{1})^{(1)(2)}

∴ A=2,500(1.065)^{2}

∴ A = $2835.56

$2835.56 is the closest amount to the balance of the account at the

end of 2 years

Learn more:

You can learn more about interest in brainly.com/question/11149751

#LearnwithBrainly

5 0
3 years ago
Solve the rational equation: 2x/x-4-2x-5/x^2-10x+24=-3/x-6
jek_recluse [69]

Answer:

D. X=6.08, x=-0.58

Step-by-step explanation:

Given the rational expression

\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)}  =  \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)}  =  \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\

Cancel out the denominator on both sides

2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\

Factorize

x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x =  11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58

Hence the required solution is X=6.08 and -0.58

7 0
3 years ago
Prove whether the following are identities 2tanh 1/2x / 1−tanh^2 1/2 x = sinh x​
Tanzania [10]

Recall that

\cosh^2(x) - \sinh^2(x) = 1

Dividing both sides by cosh²(x) gives

1 - \tanh^2(x) = \mathrm{sech}^2(x)

Also, recall the identity

\sinh(2x) = 2\sinh(x)\cosh(x)

Then

\dfrac{2\tanh\left(\frac x2\right)}{1 - \tanh^2\left(\frac x2\right)} = \dfrac{2\tanh\left(\frac x2\right)}{\mathrm{sech}^2\left(\frac x2\right)} \\\\ \dfrac{2\tanh\left(\frac x2\right)}{1 - \tanh^2\left(\frac x2\right)} = 2\tanh\left(\dfrac x2\right)\cosh^2\left(\dfrac x2\right) \\\\ \dfrac{2\tanh\left(\frac x2\right)}{1 - \tanh^2\left(\frac x2\right)} = 2\sinh\left(\dfrac x2\right)\cosh\left(\dfrac x2\right) \\\\\dfrac{2\tanh\left(\frac x2\right)}{1 - \tanh^2\left(\frac x2\right)} = \sinh(x)

4 0
3 years ago
_-12=0<br> (Negative 12^)
Andru [333]

Answer:

-12

Step-by-step explanation:

as the poem goes,

if you are bad at being good then you are bad

if you are good at being good then you are good

if you are bad at being bad then you are good

if you are good at being bad then you are good

take the third line into account

-12 - -12 is the same as -12 + 12 = 0

8 0
3 years ago
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