Ken can walk 404040 dogs in 888 hours.How many dogs can Ken walk in 121212 hours?

Answers

Answer 1

Answer:

Answer:55151460

Step-by-step explanation:

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It is claimed that 15% of the ducks in a particular region have patent schistosome infection. Suppose that seven ducks are selected at random. Let X equal the number of ducks that are infected. (a) Assuming independence, how is X distributed? (b) Find (i) P(X ≥ 2), (ii) P(X = 1), and (iii) P(X ≤ 3).

Answers

Answer:

(a) X follows a Binomial distribution

(b) (i) P(X ≥ 2) = 0.28348

P(X = 1) = 0.39601

P(X ≤ 3) = 0.98800

Step-by-step explanation:

(a) In this situation, the variable X equal to the number of ducks that are infected follows a Binomial distribution because we have:

n identical and independent events: The 7 ducks that are selected at random
2 possible results for every event: success and fail. We can call success if the duck is infected and fail if the duck is not infected.
A probability p of success and 1-p of fail: There is a probability p equal to 15% that the ducks have the infection and a probability of (100%-15%) that they don't.

(b) So, the probability that X ducks are infected is calculated as:

$P(x)=(n!)/(x!(n-x)!)*p^(x)*(1-p)^(n-x)$

$P(x)=(7!)/(x!(7-x)!)*0.15^(x)*(1-0.15)^(7-x)$

Then, Probability P(X = 1) is equal to:

$P(1)=(7!)/(1!(7-1)!)*0.15^(1)*(1-0.15)^(7-1)=0.3960$

At the same way, probability P(X ≥ 2) is equal to:

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5) + P(6) + P(7)

P(X ≥ 2) = 0.2097 + 0.0617 + 0.0109 + 0.0011 + 0.00006 + 0.00002

P(X ≥ 2) = 0.28348

And probability P(X ≤ 3) is equal to:

P(X ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(X ≤ 3) = 0.3206 + 0.3960 + 0.2097 + 0.0617

P(X ≤ 3) = 0.988

Answers:

i) 0.2834

ii) 0.3960

iii) 0.9880

Solution:

To solve this we need to use the binomial probability

P(X=k)= $(n k)* p^(k)*(1-p) ^(n-k)$

X= number of ducks infected

n=7

p=15%=0.15

P(X)= $(7 x)* 0.15^(x)*(1-.15) ^(7-x)$ ; x=0,1,2,...,7

First we need to calculate by the definition of binomial probability at k=0,1,2,3

P(X=0)= $(7 0)* 0.15^(0)*(1-0.15) ^(7-0)$ = 0.3206 ;

P(X=1)= $(7 1)* 0.15^(1)*(1-.15) ^(7-1)$ = 0.3960 ;

P(X=2)= $(7 2)* 0.15^(2)*(1-.15) ^(7-2)$ = 0.2097 ;

P(X=3)= $(7 3)* 0.15^(3)*(1-.15) ^(7-3)$ = 0.0617 ;

(i) Find P(X≥2)

Using the complement rule, we have that : P(A´ )= 1-P(A)

P(X≥2)= 1- P(X<2)

= 1- ((P(X=0)+P(X=1))

= 1- 0.3206-0.3960

=0.2834

(ii) Find P(X=1)

We have to evaluate the definition of binomial probaility at k=1

Then we have that

P(X=1)= $(7 1)* 0.15^(1)*(1-.15) ^(7-1)$ = 0.3960

(iii) Find P(X ≤ 3)

We have to use the addition tule for mutually exclusive events

Addition rule: P(A∪B)=P(A)+P(B)

P(≤3)= P(X=0)+ P(X=1) + P(X=2) + P(X=3)

=0.3206 + 0.3960+ 0.2097 + 0.0617

= 0.9880

What is f(x)=x2-5 btw that 2 is square

Answers

Answer:

sqrt 5 = 2.23606798

Step-by-step explanation:

Thank you for telling us the 2 is squared that really helps!

x^2 - 5 = 0

(add 5 both sides)

x^2 = 5

(sqrt both sides) (sqrt stands for square root)

x = sqrt 5

(Usally they just want sqrt 5 as an answer but if they want decimals its)

x = 2.23606798

Answer:

x= $√(5)$

Step-by-step explanation:

f(x)= $x^(2)$ -5

$x^(2)$ -5=0

Add 5 to both sides.

$x^(2)$ =5

To get rid of the square of x, put the square root thingie so that it will cancel out. BTW, if you put it on one side, you have to put it on the other side.

$\sqrt{x^(2) }$ = $√(5)$

x= $√(5)$

Hope this helps! Plz give brainliest!

PLZ HELP! MATH >__<What is the lateral area of the rectangular prism with a base length of 14 m, a base width of 9 m, and a height of 6 m?
A. 264 m2
B. 276 m2
C. 528 m2
D. 756 m2

Answers

Lateral area = surface area not including the bases.

To find this area we just need to add up the area of all of those sides.

The 2 bases are the same area and defined by the length and width.

That leaves the 2 sides defined by length and height,
plus the 2 defined by width and height.

Of course, to find the area of a rectangle, we just multiply together its two dimensions.
length × height = 14 × 6 = 84
width × height = 9 × 6 = 54

2 × 84 + 2 × 54 = 276 m²

My answer would be 276m2
k12

What single decimal multiplier would you use to increase by 9% followed by a 6% decrease?

Answers

Answer:

0.9646

Step-by-step explanation:

9646 pretty sure thats right

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

Answers

3/4 (6x + 1) - 3x = 1/4 (2x - 1) . The purpose of this question is to solve for x.

$\mathbf{x = (-4)/(13)}$

Given that:

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

When calculating algebraic expression, we take note of integers in bracket first, then we collect the like terms in order to find the value of x.

$\mathbf{(3)/(4) (6x + 1) - 3x =(1)/(4) (2x - 1) }$