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Delicious77 [7]
3 years ago
11

The quotient of a number and nine is less or equal to fifteen

Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0

Remark

If you just want the way this would be written out the answer is

\dfrac{x}{9} \leq 15

Note

1. The quotient is the answer of a division problem.

2. The number is represented by the letter x

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TanA+tanB+tanAtanB=1 If A+B=45 degree​
djyliett [7]

Answer:

See below

Step-by-step explanation:

\tan A+\tan B + \tan A.\tan B = 1\\\\ \implies \: \tan A +  \tan B =  1 -  \tan A.\tan B  \\  \\ \implies \:  \frac{\tan A +  \tan B}{ 1 -  \tan A.\tan B } = 1\\  \\ \implies \:  \tan (A +  B) = 1 \\  \\ \implies \:  \tan (A +  B) =\tan 45 \degree \\  \\ \implies \:  A +  B = 45 \degree \\  \\  thus \: proved

8 0
3 years ago
A national survey indicated that 30% of adults conduct their banking online. It also found that 40% are under the age of 50. and
Svet_ta [14]

Answer:

Step-by-step explanation:

Hello!

I'll express all the given percentages as probabilities:

Given the events:

Banking online (Bo)

Under the age of 50 (<50)

P(Bo)= 0.30

P(<50)= 0.40

P(Bo ∩ <50)= 0.25

1) What percentage of adults do not conduct their banking online?

The event "adults that do not conduct their baking online" is the complement of the event "adults that conduct their baking online" Symbolically Bo^c

P(Bo^c)= 1 - P(Bo)= 1 - 0.30 = 0.70

2) What type of probability is 25%?

The probability P(Bo ∩ <50)= 0.25 is a joint probability, it indicates the intersection between both events.

3) Construct a contingency table showing all joint and marginal probabilities.

Check attachment.

4) What is the probability that an individual conducts banking online given that the individual is under the age of 50?

Symbolically:

P(Bo/<50)= <u> P(Bo ∩ <50) </u> = <u> 0.25 </u> = 0.625

                       P(<50)            0.40

I hope it helps!

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3 years ago
How do convert 50/6 in the lowest fraction
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\bf \cfrac{50}{6}\implies \stackrel{\textit{some quick prime factoring on both}}{\cfrac{2\cdot 5\cdot 5}{2\cdot 3}}\implies \cfrac{2}{2}\cdot \cfrac{5\cdot 5}{3}\implies 1\cdot \cfrac{5\cdot 5}{3}\implies \cfrac{25}{3}

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