4 years ago

Can you plz help me with the following questions

1 answer:

7 0

$5+8e > 76\qquad\text{subtract 5 from both sides}\\\\8e > 71\qquad\text{divide both sides by 8}\\\\\boxed{e=\dfrac{71}{8}}$

$e\cdot7$

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There are 2.54 centimeters in 1 inch. How many centimeters are there in 1 foot? In 1 yard? Explain your reasoning.

Dmitry [639]

1 inch = 2.54 centimeters

1 foot = 12 inch

1 inch = 2.54 cm

12 inch = 12times 2.54 cm = 30.48 cm

Answer 1 foot = 12 inch = 12times 2.54 = 30.48 cm

* we know 1 yard = 3 foot

1 foot = 12 inch

1 inch = 2.54 cm

Answer : so 1 yard = 3 foot = 3* 12 inch = 36 * 2.54 cm =91.44 cm

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4 years ago

A probability distribution for a random variable Y is given by P(Y=y)=cy, for y=1,2,4,5 and c is a constant. Find E(Y), the expe

Dahasolnce [82]

Answer:

$c(1+2+4+5) =1$

$c =\frac{1}{12}$

Now we can find the expected value with this formula:

$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

Step-by-step explanation:

For this case we know the following probability mass function given:

$P(y) = cy , y= 1,2,4,5$

For this case we need to satisfy the following condition in order to have a probability distribution function:

$\sum_{i=1}^n P(y_i) =1$

And we have this:

$c(1+2+4+5) =1$

$c =\frac{1}{12}$

Now we can find the expected value with this formula:

$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

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3 years ago