1) A swimming pool currently has 1,500 gallons of water in it and is filling at a rate of two gallons per hour. How many gallons will the pool hold in eight hours?​

Answer:

2009 data set is most homogeneous

Step-by-step explanation:

As per coefficient of variation, which is around 5% for the year 2009 and around 20% for the year 2010 we can state that the data set for the year 2009 is most homogeneous

Homogeneous means similar, it can be observed on the graph as well that the data for the year 2009 is less variant

Hope it answers your question.

Answer: False

Step-by-step explanation:

Primary technology skills are simply the skills which are vital in order to attain success in online education. It should be noted that technical skills are knowledge and abilities that are related to information technology which are needed to do certain tasks.

It should be noted that online education is the form of education that is delivered and being administered through the internet.

For one to learn online, it should be noted that being able to open and close windows is a primary technology skill.

Therefore, the statement in the question is false.

Answer: F

I already did the test

the answer is -67 because you use the given function to set up and simplify  f(7).

Question:

Carl throws a single die twice in a row. For the first throw, Carl rolled a 2; for the second throw he rolled a 4. What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number. O 22% 36% O 3% O 33%

Answer:

The probability of rolling a 2 then 4 is 3%

Step-by-step explanation:

Given

A die rolled twice

Required

Probability of rolling a 2 then 4; i.e. P(2 n 4)

First, we need to list out the sample space

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Next, is to calculate P(2)

[tex]P(2) = \frac{n(2)}{n(S)}[/tex]

[tex]P(2) = \frac{1}{6}[/tex]

Next, is to calculate P(4)

[tex]P(4) = \frac{n(4)}{n(S)}[/tex]

[tex]P(4) = \frac{1}{6}[/tex]

Next,is to calculate the required probability using the following formula

[tex]P(2\ n\ 4) = P(2) * P(4)[/tex]

[tex]P(2\ n\ 4) = \frac{1}{6} * \frac{1}{6}[/tex]

[tex]P(2\ n\ 4) = \frac{1}{36}[/tex]

[tex]P(2\ n\ 4) = 0.02777777777[/tex]

Convert to Percentage

[tex]P(2\ n\ 4) = 2.777777777\%[/tex]

Approximate

[tex]P(2\ n\ 4) = 3\%[/tex]

Hence, the probability of rolling a 2 then 4 is 3%

Answer:

3%

Step-by-step explanation:

Answer:

f (x) = { 19 + 0.39(x - 300), x > 300

Step-by-step explanation:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan. If  then If  then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore Hence, { 19 + 0.39(x - 300), x > 300

Hoped I helped

Answer:

C

Step-by-step explanation:

So we have:

[tex]\frac{6^{\frac{3}{10}}}{6^\frac{1}{5}}[/tex]

To simplify, we can use the quotient rule of exponents, which says that if we have:

[tex]\frac{x^a}{x^b}[/tex]

Then this equals:

[tex]=x^{a-b}[/tex]

So, our equation will be:

[tex]\frac{6^{\frac{3}{10}}}{6^\frac{1}{5}}\\=6^{\frac{3}{10}-\frac{1}{5}}[/tex]

Subtract the exponents. Turn 1/5 into 2/10 by multiplying both layers be 2. Thus:

[tex]6^{\frac{3}{10}-\frac{1}{5}}\\=6^{\frac{3}{10}-\frac{2}{10}}[/tex]

Subtract in the exponent:

[tex]=6^{\frac{1}{10}}[/tex]

So, our answer is C :)

Answer:

la distancia del punto de observación A al incendio = 5.5 millas

la distancia del punto de observación B al incendio = 3.8 millas

Step-by-step explanation:

La expresión esquemática de la pregunta se puede ver en la imagen adjunta a continuación :

Del siguiente diagrama;

Usando la sine regla:

[tex]\dfrac{sin \ F}{f} = \dfrac{sin \ A }{a}[/tex]

[tex]\dfrac{sIn \ 79}{6} = \dfrac{sin \ 63}{a}[/tex]

a sin 79 = 6 sin 63

[tex]a =\dfrac{6 \times sin \ 63}{sin \ 79}[/tex]

[tex]a =\dfrac{6 \times 0.8910}{0.9816}[/tex]

a = 5.446 millas

la distancia del punto de observación A al incendio = 5.5 millas (a la décima más cercana)

[tex]\dfrac{sin \ F}{f} = \dfrac{sin \ B}{b}[/tex]

[tex]\dfrac{sin \ 79}{6} = \dfrac{sin \ 38}{b}[/tex]

b sin 79 = 6 sin 38

[tex]b = \dfrac{6 \times sin \ 38}{sin \ 79}[/tex]

[tex]b = \dfrac{6 \times0.6157 }{0.9816}[/tex]

b = 3.7635 millas

la distancia del punto de observación B al incendio = 3.8 millas (a la décima más cercana)

Julio's hourly rate is going to be $14.4 per hour

Answer:

If radius = 8 cm and we needed perimeter of complete circle then

circumference (or perimeter) = 2*PI * 8 = 50.2654824574  cm

or 50.27 cm (rounded)

Step-by-step explanation:

Answer:How many miles can a car be driven in 3 hours at 50 miles per hour? Under normal circumstances and the generally assumed conditions, the answer is of course (3 hours) * (50 miles / hour) = 150 miles.

3.5 hours

It will take you 3.5 hours to go 280 miles at 80 miles an hour.It travels at constant speed for the remaining time. Let x be the time traveled at the unknown constant speed. The total itme for the trip was 6 hours so: 6 = time traveled at 50 mph + time traveled at 60 mph + time traveled at x mph.

Step-by-step explanation:So you drive 25 miles / hour. then 25 miles/ 1 hour = 225 miles / nb of hours.2 minutes

However, traveling at 30 MPH for 1 mile (1 lap) takes 2 minutes, which means that your average will never be 60MPH.approximately 0.6818 miles per hour.

Answer:

n = 5

Step-by-step explanation:

All of the other choices are true except for n = 5, which is a counterexample. [tex]4^{5}[/tex] = 1024, which is greater than the other side as the other side is:

and [tex]4^{2}[/tex] = 16, 16 + 250 = 266

1024 < 266 is definitely false.

Therefore, the counterexample is n = 5.

Answer:

-2

Step-by-step explanation:

We can find the slope for two points

m = ( y2-y1)/(x2-x1)

    = ( 12 - 4)/(-6- -2)

   = 8/( -6+2)

   = 8/-4

   = -2

Answer:

A.

Step-by-step explanation:

All you have to do is convert all those fractions to 20.

So 3/4 will be 15/20, 3/10 would be 6/20, 4/5 would be 16/20 and 1/2 would be 10/20. It could be a or b. Does it say select all possible answers?

Answer:

A rectangle has_four_sides that are straight lines, _parallel_ and _equal_ opposite sides, and angles of [tex]90^o[/tex]_.

Step-by-step explanation:

Answer:

Step-by-step explanation:

True

Answer:

-1

Step-by-step explanation:

First find the inverse function.  Rewrite the given function as

y = 5(x + 4) - 6  =  5x + 20 - 6  =  5x + 14

Second, interchange x and y:

x = 5y + 14

Third, solve this result for y:

5y = 14 - x, or y = (1/5)(14 - x)

This last result is the inverse function of the given f(x).

The value of this inverse at x = 19 is (1/5)(14 - 19) = (1/5)(-5) = -1

Answer:

to two decimal places

= 6.04 mega joules

Step-by-step explanation:

The volume of the half tank

= πr²h

r= 2 m

h= 14/2= 7 m

Volume= 22/7 *2² *7

Volume= 88 m³

work (in mega-joules) needed to pump all of the water to the top of the tank

= Volume*mass density *acceleration*distance

= 88*1000*9.8*7

= 6036800 joules

In mega joules

= 6.036800 mega Joules

to two decimal places

= 6.04 mega joules

The work needed to pump all of the water to the top of the tank is 6.03 MJ

Work is said to be done whenever a force move a body through a certain distance.

To calculate the work needed to pump the water to the tank, first we need to find the volume of the water in the tank half full.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Finally, to get the work needed to pump all the water to the top of the tank, we use the formula below.

Where:

From the question.

Given:

Substitute these values into equation 2

Hence, The work needed to pump all of the water to the top of the tank is 6.03 MJ.

Learn more about work here: https://brainly.com/question/8119756

Answer:

The round off values are- 3.14, 6.12, and 4.57 respectively.

Step-by-step explanation:

The given value to which we have to round off is a. 3.14159 b. 6.12356 c. 4.56787

In order to round off the number we must keep in mind that there should be three digits in total and we will increase the value by one if the right-hand side value is more than 5.  

Thus round off figure of 3.14159 is 3.14.

The round off figure of 6.12356 is 6.12.

The round off figure of 4.56787 is 4.57.

Answer:

4, 15, 6, 18.

Step-by-step explanation:

Try the others by yourself and if you have any questions ask me in the comments

Answer:

0.49926

Step-by-step explanation:

We solve for this using z score formula

z-score is

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation

The probability that defect length is at most 20 mm is calculated as:

x = 20mm, μ = 33 mm, σ = 7.9mm

z = 20 - 33/7.9

= -13/7.9

= -1.64557

Obtaining the Probability value from Z-Table:

Probability (At most 20mm) = P(x ≤ 20mm) P(z = -1.64557)

P(x ≤ 20) = 0.049926

Therefore, the probability that defect length is at most 20 mm is 0.049926

Answer:

The probability that defect length is at most 20 mm is 0.0495.

Step-by-step explanation:

We are given that the defect length of a corrosion defect in a pressurized steel pipe is normally distributed with a mean value of 33 mm and a standard deviation of 7.9 mm.

Let X = the defect length of a corrosion defect in a pressurized steel pipe

The z-score probability distribution for the normal distribution is given by;

                             Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean defect length = 33 mm

           [tex]\sigma[/tex] = standard deviation = 7.9 mm

So, X ~ Normal([tex]\mu=33 \text{ mm}, \sigma^{2} = 7.9^{2} \text{ mm}[/tex])

Now, the probability that defect length is at most 20 mm is given by = P(X [tex]\leq[/tex] 20 mm)

        P(X [tex]\leq[/tex] 20 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{20-33}{7.9}[/tex] ) = P(Z [tex]\leq[/tex] -1.65) = 1 - P(Z < 1.65)

                                                             = 1 - 0.9505 = 0.0495              

The above probability is calculated by looking at the value of x = 1.65 in the z table which has an area of 0.9505.

Answer:

x = 0.6

Step-by-step explanation:

3x - 1.1 = 0.7

3x = 1.8

x = 0.6

Answer:

x = .6

Step-by-step explanation:

3x – 1.1 = 0.7

Add 1.1 to each side

3x – 1.1+1.1 = 0.7+1.1

3x = 1.8

Divide each side by 3

3x/3 = 1.8/3

x = .6

Answer:

x ≤ 3

Step-by-step explanation:

In the graph given, values of variable x is represented.

From the plot, we note that a small circle is at point 3 on the numberline. This small "o" is shaded, which indicates that the values of x includes 3.

The arrow which starts at 3 on the numberline, points towards our left. This means that the values of x are less than or equal to 3. No value of x is greater than 3.

Therefore, the following inequality can be written for the graph:

x ≤ 3

Answer:C

Step-by-step explanation:

9+7=16

16 times 4 = 64

36+28=64

Answer:

the sum of the this series is Sn = [n(n+1)] / 2

Answer:

The equation for constant of proportionality is:

y = kx

K = Constant of proportionality

An example:

4y = 8x

=> 4y/4 = 8x/4

=> y = 2x

In the answer, y = 2x;   2 is the constant of proportionality

Answer:

it is ratio of the amount s y and x:k = y/x. put another way: y = Kx.

Example:- you are paid 20 rupaye an hour the constant of proportionality is 20

because pay = 20 hours worked

Answer:

15 years.

Step-by-step explanation:

We have the equation:

20000 = 10000(1 + 0.048)^t     where t is the number of years.

1.048 t = 20000/10000 = 2

Taking logs:

t ln 1.048 = ln 2

t = ln 2 / ln 1.048

t = 14.78

Answer: 32

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Given

30 = 5(x + 5) ← divide both sides by 5

6 = x + 5 ( subtract 5 from both sides )

1 = x

Answer:

Step-by-step explanation:

30 = 5(x + 5) ← divide both sides by 5

6 = x + 5 ( subtract 5 from both sides )

x=1