If x-3 is a factor of x3+4x2+kx-30.Find the value of k.

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

Answer:

k=-11

Step-by-step explanation:

$x^{3}+4x^{2}+kx-30$

if $x-3$ is a factor,

$(3)^{3}+4(3)^{2}+k(3)-30=0\\27+4*9+3k-30=0\\27+36+3k-30=0\\33+3k=0\\3k=-33\\k=-11$

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A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportio

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Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

$Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}$

Here

$\hat{p}$ is the sample measure which is 8% or 0.08
p is the population measure which is 6% or 0.06
n is the number of samples which is 529

So the Z score is given as

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