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3 years ago

(Algebra II) 11. d. & e.

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

4 0

Given : p(x) = x⁵

p(-x) = (-x)⁵

p(-x) = (-1)⁵(x)⁵

p(-x) = -(x)⁵

0.5p(-x) = -0.5(x)⁵

0.5p(-x) + 4 = -0.5(x)⁵ + 4

m(x) = -0.5(x)⁵ + 4

Given : p(x) = x⁴

p(0.5x) = (0.5x)⁴

p(0.5x) = (0.5)⁴(x)⁴

-p(0.5x) = -(0.5)⁴(x)⁴

-p(0.5x) + 2 = -(0.5)⁴(x)⁴ + 2

m(x) = -(0.5)⁴(x)⁴ + 2

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In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the

Rama09 [41]

Answer:

$P(x \le 3) = 0.2352$

Step-by-step explanation:

Given

$p = 0.35$ --- male committing a crime in an episode

$n = 5$ -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

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

So, the required probability is represented as:

$P(x \ge 3)$

And will be calculated using:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2$

$P(x = 3) = 10 * (0.35)^3 * (0.65)^2$

$P(x = 3) = 0.1811$

$P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}$

$P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1$

$P(x = 4) = 5 * (0.35)^4 * (0.65)$

$P(x = 4) = 0.0488$

$P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}$

$P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0$

$P(x = 5) = 1 * (0.35)^5 * (0.65)^0$

$P(x = 5) = 1 * (0.35)^5 * 1$

$P(x = 5) = 0.0053$

So:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x \le 3) = 0.1811 + 0.0488 + 0.0053$

$P(x \le 3) = 0.2352$

4 0

2 years ago

I need help With my homeworkTITLE: Interpret and write equations From Table

Anon25 [30]

<h2>Answer:</h2>

a) 20 will represent the set price of admission

b) 3 is the price of each ticket

c) x will be the total number of ticket bought

d) y will be the total amount of money spent.

<h2>Explanations:</h2>

The equation given is written in slope-intercept form of a line. The slope-intercept form is in the form y = mx +b

where

• m is the ,rate of change ,or slope

• b is the ,intercept, (constant)

Given the equation that represents the total amount of mney the hunter will spend expressed as y = 20 + 3x

a) Since 20 is a constant value, it is more like the initial price. Based on the question, 20 will represent the set price of admission.

b) 3 is the price of each ticket needed to go on the ride

c) x will be the total number of ticket bought for the rides

d) As mentioned earlier, y will be the total amount of money the hunter will spend for the ride including the admission price.

3 0

1 year ago

What is the slope of a line perpendicular to y = -7/4x?

dexar [7]

A line is perpendiculat to another which has a slope of m if the perpendicular line has a slope of -1/m.
That means that if the product of slopes of two lines is -1, the two lines are perpendicular.

Here, y1=-7/4x, or m=-7/4
The perpendicular should have a slope of -1/m=-1/(-7/4)=4/7

6 0

3 years ago

W= A over 4 what does A equal?

timurjin [86]

Answer:

Hi there!

If W= A/4, then A= 4W

Step-by-step explanation:

because if you times 4 on both sides of the equation : w*4 = (A/4) *4

you get A= 4W

4 0

3 years ago

3. Solve 2log4y - log4 (5y - 12) = 1/2<br>

Ilia_Sergeevich [38]

Answer:

y = 4 or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

2log_4(y) - log_4(5y-12) = log_4(2) apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2) apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2) remove logarithm

y^2/(5y-12) = 2 cross multiply

y^2 = 10y-24 rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

4 0

3 years ago