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3 years ago

What is 40/90 simplified?

1 answer:

4 0

This would be 4/9 since You can divide both by ten and nothing else after that due to the fact that they both end in 0 and are multiples of 10 making the answer 4/9

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Is "369" from ( Digit or Number or Numeral) ??

dybincka [34]

Answer:

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Step-by-step explanation:

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3 years ago

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Find the roots 3x^2-3x-4=0

victus00 [196]

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3 years ago

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Norma-Jean [14]

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3 years ago

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The random variable x represents the number of computers that families have along with the corresponding probabilities. Find the

Elena L [17]

Answer:

The correct option is (d).

Step-by-step explanation:

The complete question is:

The random variable x represents the number of computers that families have along with the corresponding probabilities. Use the probability distribution table below to find the mean and standard deviation for the random variable x.

x : 0 1 2 3 4

p (x) : 0.49 0.05 0.32 0.07 0.07

(a) The mean is 1.39 The standard deviation is 0.80

(b) The mean is 1.39 The standard deviation is 0.64

(c)The mean is 1.18 The standard deviation is 0.64

(d) The mean is 1.18 The standard deviation is 1.30

Solution:

The formula to compute the mean is:

$\text{Mean}=\sum x\cdot p(x)$

Compute the mean as follows:

$\text{Mean}=\sum x\cdot p(x)$

$=(0\times 0.49)+(1\times 0.05)+(2\times 0.32)+(3\times 0.07)+(4\times 0.07)\\\\=0+0.05+0.64+0.21+0.28\\\\=1.18$

The mean of the random variable x is 1.18.

The formula to compute variance is:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}\cdot p(x)$

$=(0^{2}\times 0.49)+(1^{2}\times 0.05)+(2^{2}\times 0.32)+(3^{2}\times 0.07)+(4^{2}\times 0.07)\\\\=0+0.05+1.28+0.63+1.12\\\\=3.08$

Compute the variance as follows:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

$=3.08-(1.18)^{2}\\\\=1.6876$

Then the standard deviation is:

$\text{Standard deviation}=\sqrt{\text{Variance}}$

$=\sqrt{1.6876}\\\\=1.2990766\\\\\approx 1.30$

Thus, the mean and standard deviation for the random variable x are 1.18 and 1.30 respectively.

The correct option is (d).

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3 years ago

The measure of angle xx is 25 more than 4 times the measure of its complement. Find the measure of xx.

marishachu [46]

The complement is what adds to an angle to get 90 degrees

so

x is 25 mroe than 4 times y
x+y=90

x=25+4y
sub 25+4y for x

25+4y+y=90
25+5y=90
minus 25 both sides
5y=65
divide both sides by 5
y=13

sub back
x+y=80
x+13=90
x=77 degrees

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3 years ago

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