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2 years ago

What is the coefficient in the expression shown? 42+2c

2 answers:

4 0

There are two coefficients, one for x raised to the first degree, and the other for x raised to the zeroth degree (i.e. constant term).

Thus:
coefficient for the constant term : 42 (i.e. 42x^0=42).
coefficient for the linear term: 2 (i.e. 2x^1=2x)

Vikki [24]2 years ago

4 0

Answer:

The coefficient in the given expression is, 2

Step-by-step explanation:

Coefficient states that it is a multiplicative factor in some terms of a polynomial, series, or expression.

Given the expression: 42 + 2c

Here, c represents the variable.

To find the coefficient in the expression.

42 is the constant term.

2 is the coefficient of the variable c in the given expression.

Therefore, the coefficient in the given expression is, 2

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An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

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2 years ago

Is 1/4a rational number

12345 [234]

Yes 1/4 is a rational number

5 0

1 year ago

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)A mule deer can run one over four of a mile in 25 seconds. At this rate, which expression can be used to determine how fast a m

makvit [3.9K]

Well, if you take x to be 25 seconds, there are 2.4x in 1min. So, that multiplied by 60, would be 144x. Therefore, 1/4 multiplied by 144x should be the answer.

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2 years ago

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Find the difference: square root of 20 - square root of 80

Mamont248 [21]

Answer:

$-2\sqrt{5}$

Step-by-step explanation:

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1 year ago

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1. What is m∠CAD?

bulgar [2K]

< CAD = 100....if u add < ACB + < CBA u get < CAD
================
< DAB = 125 and < ACB = 30

if DAB = 125.....then BAC = 180 - 125 = 55
and all 3 interior angles of a triangle = 180
< BAC + < ACB + < ABC = 180
55 + 30 + < ABC = 180
85 + < ABC = 180
< ABC = 180 - 85
< ABC = 95 <===

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2 years ago

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