Solve for x.
4x - 6 = 30

Answer:

C

Step-by-step explanation:

Answer:

0.5 or 0.45

Step-by-step explanation:

this needs to be 20 characters long

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:

x=4 or -4

y=5

Step-by-step explanation:

2x-3=x+9

=3x=12

=x=12/3

x=4( could also be -4)

y=(4x2)-3

y=5

You mean Sigma notation not stigma ^^

Answer:

Look the attachment

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:

F(4) = 3*4 = 12

Step-by-step explanation:

Answer:

1. 30.48cm

2. 5.77yds

3. 540min

4. 1200cm

5. 8.45qt

6. 168hr

7. 4535.92grams

8. 15yd

9. 32.808ft

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Use the property of 30-60-90 degree right triangles

They have the ratio of  sides from smallest to greatest: 1: √3 : 2

The top triangle

The bottom triangle

Acute angles n and 2n makes them 30° and 60°

Answer:

x = 1/2*2√3 = √3

y = √3*√3 = 3

Answer:

18a^3b^2/2ab

To simplify the given expression, we apply property of exponents

18/2 = 9

x^m / x^n= x^ (m-n) In division we subtract the exponents

So given expression becomes

9a^2b

The answer has only positive exponents

i think this is what you want?

The simplified exponential notation of the given expression is [tex]9a^2b[/tex].

The given expression is: [tex]\frac{18a^3b^2}{2ab}[/tex]

An expression in the form of [tex]a^pb^qc^r[/tex].. is called exponential expression.

We can write the above expression as:

[tex](\frac{18}{2} )(\frac{a^{3} }{a} )(\frac{b^{2} }{b} )[/tex]

We know that [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]\frac{a^{3} }{a} =a^{3-1} =a^{2} \\\frac{b^{2} }{b}=b^{2-1} =b[/tex]

So, [tex](\frac{18}{2} )(\frac{a^{3} }{a} )(\frac{b^{2} }{b} )[/tex] =[tex]9a^2b[/tex]

Hence, the simplified exponential notation of the given expression is [tex]9a^2b[/tex].

To get more about polynomials visit:

https://brainly.com/question/2833285

Answer:65

Step-by-step explanation:

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:

2x(30+8-6)-20

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

First divide the number of lampreys by the ratio.

162/27=6

Then multiply the result (6) by the oarfish part of the ratio

22*6=132

Answer:

x = 2, y = -4

Step-by-step explanation:

Answer:

Substitution method answer: x=2, y=-4 (2,-4)

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Multiply the two probabilities.

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

1/4 = 25%

Answer:

1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is

Answer:500

Step-by-step explanation:

Answer:

whattt do I have to do translate what???

Answer:

The blue image is a translation to the red image

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given box in both questions are cuboid.

Question 3:

Volume of cuboid = length * width * height

                              = 3 * 3 * 5 = 45 units.

Question 4:

Volume of cuboid = length * width * height

                              = 4 * 2 * 6 = 48 units

Answer:

C. As the Test Score increases, the Social media time decreases

Step-by-step explanation:

D. Yes, linear because if I were to draw a line on the graph most of the points on the scatter plots would match?

Answer:

C. As the Social media time increases, the Test score decreases.

D. Yes, I think the relationship between the test scores and social media time appears liner, because linear lines tend to be straight, and has a constant rate of change. In this case, there is a constant rate of change, and the plot points aren't all over the place.

Explanation (sort of):

Look at the graph going from left to right; You will see that the plot points continue to "fall" closer to the x-axis. This is why "Test scores" are decreasing instead of "Social media time", unlike what someone else answered with.

Answer:

17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)

Step-by-step explanation:

18 .

21; 17.5; 14; 10.5; and 7

3 x 7 = 21

2.5 x 7 = 17.5

2 x 7 = 14

1.5 x 7 = 10.5

1 x 7 = 7

Answer:

72.5

Step-by-step explanation:

Answer:

72.5

Step-by-step explanation:

Answer:

         Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.

         Final amount = [tex]Pe^{rt}[/tex]

         Here, P = Principal amount

                    r = Rate of interest

                    t = Duration of investment

Given in the question,

P = $181.25

t = 7 years

Final amount = $1450

Substitute these values in the expression,

[tex]1450=181.25e^{7r}[/tex]

[tex]e^{7r}=8[/tex]

[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]

[tex]7r=2.07944[/tex]

[tex]r=0.2971[/tex]

[tex]r=29.71\%[/tex]

       Therefore, rate of intereset for the investment is 29.71%.

Learn more about continuous compounding here,

https://brainly.com/question/13079114?referrer=searchResults

Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.