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2 years ago

How do you integrate 7xe^-5x²?

1 answer:

3 0

Making assumptions about where parentheses should be,
Let u = -7x 
du = -7dx 
dv = e^(2x) dx 
v = e^(2x)/2 
∫ -7xe^(2x) dx = 
-7xe^(2x)/2 - ∫ e^(2x)/2 (-7) dx = 
-7xe^(2x)/2 + 7e^(2x)/4 + c

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Is 7500000 meters greater than 750 kilometers

monitta

A kilometer is 1000 meters.
1000 time 750 equals 750000
So the answer is yes, 7500000 is greater than 750000

5 0

3 years ago

If pr = 4x – 2 and rs = 3x – 5, which expression represents ps?

slamgirl [31]

This is from simple math knowledge of lines, segments and points. From the given data, pr and rs are line segments in the line ps. Thus, we add segments pr and rs together to solve for the line ps.

pr + rs = ps
4x - 2 + 3x - 5
(Add like terms) = 7x -7
(Further simplify) = 7(x-1)

Therefore, the final answer or expression of ps = 7(x-1).

7 0

3 years ago

Read 2 more answers

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 70% of all computer programmers are introvert

Setler [38]

Answer:

$P(x \ge 5) = 1.000$ ---- At least 5 from marketing departments are extroverts

$P(x=15) = 0.013$ ---- All from marketing departments are extroverts

$P(x = 0) = 0.002$ ---------- None from computer programmers are introverts

Step-by-step explanation:

See comment for complete question

The question is an illustration of binomial probability where

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$(a):\ P(x \ge 5)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

Using the complement rule, we have:

$P(x \ge 5) = 1 - P(x < 5)$

So, we have:

$P(x < 5) =P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)$

$P(x = 0) = ^{15}C_{0} * (75\%)^0 * (1 - 75\%)^{15 - 0} = 1 * 1 * (0.25)^{15} = 9.31 * 10^{-10}$

$P(x = 1) = ^{15}C_{1} * (75\%)^1 * (1 - 75\%)^{15 - 1} = 15* (0.75)^1 * (0.25)^{14} = 4.19 * 10^{-8}$

$P(x = 2) = ^{15}C_{2} * (75\%)^2 * (1 - 75\%)^{15 - 2} = 105* (0.75)^2 * (0.25)^{13} = 8.80 * 10^{-7}$

$P(x = 3) = ^{15}C_{3} * (75\%)^3 * (1 - 75\%)^{15 - 3} = 455* (0.75)^2 * (0.25)^{12} = 0.0000153$

$P(x = 4) = ^{15}C_{4} * (75\%)^4 * (1 - 75\%)^{15 - 4} = 1365 * (0.75)^4 * (0.25)^{11} = 0.000103$

So, we have:

$P(x < 5) = (9.31 * 10^{-10}) + (4.19 * 10^{-8}) + (8.80 * 10^{-7}) + 0.0000153 + 0.000103$

$P(x < 5) = 0.00011922283$

Recall that:

$P(x \ge 5) = 1 - P(x < 5)$

$P(x \ge 5) = 1 - 0.00011922283$

$P(x \ge 5) = 0.9998$

$P(x \ge 5) = 1.000$ --- approximated

$(b)\ P(x = 15)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x=15) = ^{15}C_{15} * 0.75^{15} * (1 - 0.75)^{15-15}$

$P(x=15) = 1 * 0.75^{15} * (0.25)^{0$

$P(x=15) = 0.013$

$(c)\ P(x = 0)$

$n=5$ ---------- computer programmers

$p = 70\%$ --- proportion that are introverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x = 0) = ^{5}C_0 * (70\%)^0 * (1 - 70\%)^{5-0}$

$P(x = 0) = 1 * 1 * (0.30)^5$

$P(x = 0) = 0.002$

3 0

2 years ago

Expand (x+2y)^2 hgghhhhjjjjjjj

Sonbull [250]

Step-by-step explanation:

(x+2y)²=x²+4xy+4y²

...........

7 0

3 years ago

The distance from the Earth to the moon is about 239,000 miles. Rewrite the distance in scientific notation.

egoroff_w [7]

Answer:

2.39 x 10^5 miles

Step-by-step explanation:

Although it is not usually written, there is always a .0 at the end of a number unless there is a specific decimal that was given.

So, the number here is 239,000.0 and if you count the number of spaces that the decimal needs to move in order to be in the correct spot for scientific notation (which is always after the first number), there is 5 spaces.

Therefore the answer is 2.39 x 10^5 miles.

4 0

1 year ago