3 years ago

© Factorise completely 15z^2-9z -

Mathematics

1 answer:

ollegr [7]3 years ago

4 0

Answer:

3z(5z-3)

Step-by-step explanation:

first you choose the common items which in this case was 3z the you divide 15 by 3 and 9 by 3

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Answer:

a) X has a mean of 25 and a variance of 8.

b) The probability that the total weight X is between 22 and 28 oz is 0.711.

Step-by-step explanation:

We have to calculate the mean and variance of a sum of random normal variables.

We can apply the rule for mean and variance for sum of independent variables:

$X=L+M\\\\E(X)=E(L+M)=E(L)+E(M)\\\\V(X)=V(L+M)=V(L)+V(M)-2CoV(L,M)=V(L)+V(M)$

Then, the mean and variance of X is:

$E(X)=E(L)+E(M)=15+10=25\\\\\\V(X)=V(L)+V(M)=2^2+2^2=4+4=8\\\\\sigma_x=\sqrt{V(X)}=\sqrt{8}\approx2.83$

We can calculate the probability that X is between 22 and 28 as:

$z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{22-25}{2.83}=\dfrac{-3}{2.83}=-1.06\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{28-25}{2.83}=\dfrac{3}{2.83}=1.06\\\\\\P(22$

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3 years ago

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Which decimal is equivalent to \dfrac{26}{9} 9 26 start fraction, 26, divided by, 9, end fraction? Choose 1 answer: Choose 1 a

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Answer: C. 2.889 .

Step-by-step explanation:

To find : A decimal expression equivalent to $\dfrac{26}{9}$ .

When we divide 26 by 9 , we get 2.88888888889 which is approximately equal to 2.889 [Round off to the nearest thousandth place]

Hence, the decimal is equivalent to $\dfrac{26}{9}$ is 2.889.

Hence, the correct option is C. 2.889 .

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