What is the value of x?



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Answer:

Find the perimeter and area of each individual cube then add them up,

Area=length times width

Perimeter=4 times side

Step-by-step explanation:

Answer: the answer is A

Step-by-step explanation:

u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)

Answer: 10 km

Step-by-step explanation:

20 km = 1 cm

villages are 0.5 cm apart

0.5+0.5=1

20/2= 10

so 10 km.

Answer:

400

Step-by-step explanation:

3600/9=400

36/9=4

add the zeros back in after

Answer:

400

Step-by-step explanation:

I hope this helps you

Answer:

a) 1 = 100% probability that at least one sample will contain one or more bacterial colonies.

b) 1 sample should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony

Step-by-step explanation:

To solve this question, we need to understand the poisson and the binomial distributions.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a single sample having at least one bacterial colonies.

Poisson distribution with a mean of 3 per cubic centimeter (cm3), which means that [tex]\mu = 3[/tex]

This is:

[tex]P(X \geq 3) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0495[/tex]

[tex]P(X \geq 3) = 1 - P(X = 0) = 1 - 0.0495 = 0.9505[/tex]

(a) If eight 1 cm3 samples are independently selected from this water, find the probability that at least one sample will contain one or more bacterial colonies.

Multiples samples means that the binomial distribution is used.

0.9505 probability of a sample having at least one colony, which means that [tex]p = 0.9505[/tex]

8 samples means that [tex]n = 8[/tex]

The desired probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.9505)^{0}.(0.0495)^{8} \approx 0[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0 = 1[/tex]

1 = 100% probability that at least one sample will contain one or more bacterial colonies.

(b) How many 1 cm3 samples should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony

We have to find [tex]P(X \geq 1)[/tex] for samples of 1,2,3,..., until this probability is 0.95. So

n = 1

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{1,0}.(0.9505)^{0}.(0.0495)^{1} = 0.0495[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0495 = 0.9505[/tex]

0.9505 > 0.95

1 sample should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony

Answer:

Step-by-step explanation:

radius = √75 = 5√3 ≅ 8.66 units

Answer:

11X+55

Step-by-step explanation:

Multiplicacion

Answer:

It’s b

Step-by-step explanation:

You can plot the points on the graph to test them out . B was the only one that made a rectangle

Answer:

60$

Step-by-step explanation:

:)

Answer: $60

Step-by-step explanation: If each muffin cost 1.50 that means that all 40 muffuins = 1.50 each so all you have to do is 1.50 times 40 cus there is 40 muffins and your trynna figure out the price altogether or you can add 1.50+1.50 40 times

Answer:

Step-by-step explanation:

The answer is 4 questions.

The 10% of 40 is 10×(40/100)

= 400/100

=4

Answer:

-3,8

Step-by-step explanation:

Answer:

x=9 and x=-1

Step-by-step explanation:

Using the factoring method, find the zeroes.

Answer:

ACB=44°

DCE=35°

BCD=101°

Step-by-step explanation:

ACB is a triangle and all triangles are 180 degrees

78+58=136

180-136=44

DCE is also a triangle

85+60=145

180-145=35

a straight line is 180 degrees, we already know what the other two is.

35+44=79

180-79=101

Answer:

55.25

Step-by-step explanation:

Answer:

triangular prism

Answer:

it will be triangular prism

Answer:

The answer would be

2. y= x + 6

Answer: The answer would be

2. y= x + 6

Step-by-step explanation:

Answer:

i think 10

Step-by-step explanation:

Answer:

the answer should be D.$90

Step-by-step explanation:

54 x .6 = 90

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Go to algebra calculator it will show the answer.

Answer:

(x-1) (x+8)

Step-by-step explanation:

If you factor this question out correctly, you would get the answer above.

Hi there!

[tex]\large\boxed{42\pi \text{in or } 131.88 \text{in}}[/tex]

Use the equation C = dπ to calculate the circumference:

d = diameter

C = circumference

C = 42 · π  = 42π in, or 131.88 in (π ≈ 3.14)

Answer:

18

Step-by-step explanation:

9/2 / 1/4

keep 9/2

Change the operation to multiplication

flip 1/4 into 4 or 4/1

multiply on top and bottom and get 36/2

which 36/2 is 18 and 18 is the answer

Brainliest?

Answer:

start from 0 then take the line going to the left put it at 0 and drag it to -8

Step-by-step explanation:

Answer:

f(x)=2sin(2x)+4

Step-by-step explanation:

Answer:

f(x)=2sin(x)-4

Step-by-step explanation:

Answer:

-1/3x+2y=4

Step-by-step explanation:

Substitute the negative reciprocal.

-1/3x+2y=4

Answer:

1000

Step-by-step explanation:

2×500=1000

hope it helps

Answer:

25%

Step-by-step explanation:

Multiply the two probabilities.

P(heads)*P(even) = 1/2*1/2 = 1/4

1/4 = 25%

Answer:

252 menu

Step-by-step explanation:

Total number courses, n = 10

The largest number of menu the chef can plan using his 10 main courses.

There are various combinations of menu obtainable from the available courses :

Ranging from :

nC0 to nCn

The largest number of menu he can plan is the highest output obtainable between :

10C0 to 10C10

10C0 = 1

10C1 = 10

10C2 = 45

10C3 = 120

10C4 = 210

10C5 = 252

10C6 = 210

10C7 = 120

10C8 = 45

10C9 = 10

10C10 = 1

Hence, the largest number of menu he can plan using his 10 main courses is 252