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3 years ago

Which is the product of 4/5 x3/7

Mathematics

2 answers:

Keith_Richards [23]3 years ago

3 0

Answer:

12/35

Step-by-step explanation:

eimsori [14]3 years ago

3 0

Answer:

so I think it is 0.34

Step-by-step explanation:

4/5x3/7=0.34

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A couple book a cruise to Alaska that promises to refund 100 per day of rain on the seven day cruise up to a maximum of 300. The

zubka84 [21]

Answer:

the variance of the refund payment to the couple = 9463.394

Step-by-step explanation:

Given that :

A couple book a cruise to Alaska that promises to refund 100 per day of rain on the seven day cruise up to a maximum of 300.

It is possible that the couple won't be able to refund up 100 per day or more than 100 per day.

SO; let assume that the refund payment happens to be 0, 100,200, 300

Let X be the total refund payment on the seven day cruise.

We can say X = 0, if there is no rain on all 7 days.

$P(X = 0) = _nC_x * P^x * (1 - P)n-x$

$P(X = 0) = _7C_o * 0.2^0 * (1-0.2)^{7-0$

$P(X = 0) =1 * 1* (1-0.2)^{7$

$P(X = 0) =(0.8)^{7$

$P(X = 0) =0.2097152$

If it rains on any one day; then X = 100

$P(X = 100) = _nC_x * P^x * (1 - P)n-x$

$P(X = 100) = _7C_1 * 0.2^1 * (1-0.2)^{7-1$

$P(X = 0) =7 * 0.2* (1-0.2)^{6$

$P(X = 100) =7* 0.2* (0.8)^{6$

$P(X = 100) =0.3670016$

if it rains on any two day ; then X = 200

$P(X = 200) = _nC_x * P^x * (1 - P)n-x$

$P(X = 200) = _7C_2 * 0.2^2 * (1-0.2)^{7-2$

$P(X = 200) = 21 * 0.2^2 * (0.8)^{5$

$P(X = 200) = 0.2752512$

if it rains on any three day or more than that ; then X = 300

$P(X \ge 300) = 1 - P(X < 300) \\ \\ P(X \ge 300) = 1 - [P(X = 0) + P(X = 100) + P(X = 200)] \\ \\ P(X \ge 300) = 1 - [0.2097152 + 0.3670016 + 0.2752512] \\ \\ P(X \ge 300) = 0.148032$

Now; we have our probability distribution function as:

P(X = 0) = 0.2097152

P(X = 100) = 0.3670016

P(X = 200) = 0.2752512

P(X = 300) = 0.148032

In order to determine the variance of the refund payment to the couple; we use the formula:

variance of the refund payment to the couple $[Var X] =E [X^2] - (E [X])^2$

where;

$E[X^2] = \sum x^2 \times p \\ \\ E[X^2] = 0^2 * 0.2097152 + 100^2 * 0.3670016 + 200^2 * 0.2752512 + 300^2 * 0.148032 \\ \\ E[X^2] = 0 + 3670.016 + 11010.048+ 13322.88 \\ \\ E[X^2] =28002.944$

$(E [X]) = \sum x * p\\ \\ (E [X]) = 0 * 0.2097152 + 100 * 0.3670016 + 200 * 0.2752512 + 300 * 0.148032 \\ \\ (E [X]) = 0 + 36.70016 + 55.05024 + 44.4096\\ \\ (E [X]) = 136.16 \\ \\ (E [X])^2 = 136.16^2 \\ \\ (E [X])^2 = 18539.55$

NOW;

the variance of the refund payment to the couple = 28002.944 - 18539.55

the variance of the refund payment to the couple = 9463.394

7 0

3 years ago

6(x-4)=7(x+3) <br> Show your work

sergeinik [125]

Answer:

do distributive property on both, so multiply 6•x and 6•-4. then multiply 7•x and 7•3.

so it'll basically be 6x - 24 = 7x + 21.

then add 24 to both sides so: 6x - 24 + 24 = 7x + 21 + 24. since -24+24=0 it'll be 6x = 7x + 21 + 24.

then add 21 + 24 and that will be 45.

so 6x = 7x + 45

then subtract 7x from both sides 6x - 7x = 7x + 45 - 7x

that'll be -x = 7x + 45 - 7x

combine like terms (7x - 7x) = 0

so -x = 45

and since x can't be negative, do the opposite signs

so instead of -x = 45, make it x = -45

Hope it helped! (sorry that's its very long just wanted to show u the steps just in case)

3 0

3 years ago

Select the ordered pairs that are on the x-axis. Choose all that apply.

ZanzabumX [31]

-4,0
2,0
both are true because they do not have a y coordinate, meaning they dont move off of the x-axis

6 0

3 years ago

Read 2 more answers

How do you round 38.25

solniwko [45]

Because its under 6 you must round it down to 38.20 if it was 38.68 for example it would be 38.70

4 0

3 years ago

Read 2 more answers

Question 13

natali 33 [55]

Answer:

y - 7 = (x + 5)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Slope(m) = 1

Point: (-5, 7) = (x1, y1)

To write the equation in point-slope form, we need to know the slope and one point. Since we were already given the values of the slope and one point, all we have to do is input those values into the equation:

y - y1 = m(x - x1)

y - 7 = 1(x - (-5))

y - 7 = (x + 5)

The equation in point-slope form is: y - 7 = (x + 5)

7 0

3 years ago