Find the value of a?

Mathematics

1 answer:

Inga [223]3 years ago

7 0

Answer:
a=9

Explanation:
The triangle is a 45-45-90 triangle, so the sides have a 1-1-root 2 ratio. So, if 9 root 2 is to root 2, then find a to 1. You can solve this by setting up the ratio and solving for a:
a/1=9root2/root2
a/1=9
a=9

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A communications channel transmits the digits 0 and 1. However, due to static, the digit transmitted is incorrectly received wit

m_a_m_a [10]

Answer:

The probability that the message will be wrong when decoded is 0.05792

Step-by-step explanation:

Consider the provided information.

To reduce the chance or error, we transmit 00000 instead of 0 and 11111 instead of 1.

We have 5 bits, message will be corrupt if at least 3 bits are incorrect for the same block.

The digit transmitted is incorrectly received with probability p = 0.2

The probability of receiving a digit correctly is q = 1 - 0.2 = 0.8

We want the probability that the message will be wrong when decoded.

This can be written as:

$P(X\geq3) =P(X=3)+P(X=4)+P(X=5)\\P(X\geq3) =\frac{5!}{3!2!}(0.2)^3(0.8)^{2}+\frac{5!}{4!1!}(0.2)^4(0.8)^{1}+\frac{5!}{5!}(0.2)^5(0.8)^0\\P(X\geq3) =0.05792$

Hence, the probability that the message will be wrong when decoded is 0.05792

4 0

3 years ago

Determine whether each of the functions log(n + 1) and log(n2 + 1) is o(log n)

larisa86 [58]

Assuming the order required is as n-> inf.

As n->inf, o(log(n+1)) -> o(log(n)) since the 1 is insignificant compared with n.

We can similarly drop the "1" as n-> inf, the expression becomes log(n^2+1) ->
log(n^2)=2log(n) which is still o(log(n)).

So yes, both are o(log(n)).

Note: you may have more offers of answers if you post similar questions in the computer and technology section.

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3 years ago

The walkers traveled 182 miles in 3 1/2 hours. The equation 3.5m=182 can be used to find their mean rate of travel. What is the

Serjik [45]

182 divided byyyy 3.5 =52 miles per hour

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4 years ago

1 litre is equal to how many decalitre

hram777 [196]

1 liter = 0.1 decaliter

Divide the volume value by 10

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