Todos los días, Luna utiliza 12 regaderas de medio litro para regar su jardín. ¿Cuántos litros de agua utiliza al día?

Answer:

20

Step-by-step explanation:

Mean is the average of the numbers. You get the average by adding all the numbers and then dividing by the amount of numbers there are.

Example: 17+24+26+13=80 divided by 4 is 20

Answer:

C = 15

Step-by-step explanation:

Let A = # of adults and C = # of children.

A +  C = 20

15A + 10C = 225

There are several ways to solve this system; here is one of them.

From the first equation: C = 20 - A

Substitute into the second equation: 15A + 10(20 - A) = 225

Multiply, collect terms, and subtract 200 from each side: 5A = 25 => A = 5

Since C = 20 - A, C = 15

The number of children's ticket bought is 15 and the number of adult tickets bought is 5.

The system of equations that can be derived from the question are:

a + b = 20 equation 1

15a + 10b = 225 equation 2

Where:

a = number of children's ticket bought

b = number of adult tickets bought

In order to determine the value of b, multiply equation 1 by 15.

15a + 15b = 300 equation 3

Subtract equation 2 from 3

5b = 75

b = 15

In order to determine the value of a, substitute for b in equation 1

a + 15 = 20

a = 20 - 15

a = 5

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Answer:What?

Step-by-step explanation:

Answer:5,7

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

N is the total number of students

M is the number of students thta like math

S is the number of students that like science.

We know that half of the elements in M also are elements from S

And a third of the elements of S also are elements of M

And because those elements are common elements for both sets, we should have that:

M/2 = S/3

then we have that:

M = (2/3)*S

The ratio is 2/3

this means that the number of students that like math is 2/3 times the number of students that like science.

The ratio of the number of students who like math to the number of students who like science is 2/3

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

For the given case, we can assume the real quantities by variables.

Let we have:

By given information, we have:

Since the statement "M/2 students like science too" and "S/3 students like maths too" are same thing, so they're taking about same students who like math and science both, thus:

[tex]\dfrac{M}{2} = \dfrac{S}{3}\\\\\text{Multiplying both the sides by 2/S}\\\\\dfrac{M}{S} = \dfrac{2}{3}[/tex]

Thus, the ratio needed (ratio of number of students liking math to the number of students liking science) is M/N = 2/3

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Answer:

Domain: all real values

Step-by-step explanation:

f(x)=(x+1)^2

The domain is the values for x

We can use any value for x in the equation

Domain: all real values

Answer:

All real values of x

Step-by-step explanation:

f(x) = (x + 1)² is defined for all x

Hence the domain includes all real values of x

Answer: 3 pages per minute

Step-by-step explanation:

61x=183

x= the amount of pages

183/61= 3 pages

You can check this by multiplying 3 by 61 which = 183.

Answer:

3

Step-by-step explanation:

183             x

-----   =      -----

61                1

Cross Multiply

183= 61x

Divide

3=x

Answer:

help me and I will help you

Answer:

B and C

Step-by-step explanation:

Answer:

parabola and quadratic

Step-by-step explanation:

just answered it

Answer:

95% confidence interval for the difference in population proportions of couples with children and with no children is [0.00134 , 0.219].

Step-by-step explanation:

We are given that an aquarium manager wants to study gift shop browsing.

She randomly observes 120 couples that visit the aquarium with children and finds that 107 enter the gift shop at the end of their visit. She randomly observes 76 couples that visit the aquarium with no children and finds that 59 enter the gift shop at the end of their visit.

Firstly, the pivotal quantity for 95% confidence interval for the difference between population proportions is given by;

                     P.Q. =  [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of couples that visit the aquarium with children who enters the gift shop at the end of their visit = [tex]\frac{107}{120}[/tex] = 0.89

[tex]\hat p_2[/tex] = sample proportion of couples that visit the aquarium with no children who enters the gift shop at the end of their visit = [tex]\frac{59}{76}[/tex] = 0.78

[tex]n_1[/tex] = sample of couples that visit the aquarium with children = 120

[tex]n_2[/tex] = sample of couples that visit the aquarium with no children = 76

Here for constructing 95% confidence interval we have used Two-sample z proportion statistics.

So, 95% confidence interval for the difference between population proportions,  is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                     of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] < [tex]{(\hat p_1-\hat p_2)-(p_1-p_2)}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] ) = 0.95

P( [tex](\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] < [tex](p_1-p_2)}[/tex] < [tex](\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] ) = 0.95

95% confidence interval for [tex](p_1-p_2)}[/tex] =

[[tex](\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex],[tex](\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex]]

= [ [tex](0.89-0.78)-1.96 \times {\sqrt{\frac{0.89(1-0.89)}{120}+ \frac{0.78(1-0.78)}{76}} }[/tex] , [tex](0.89-0.78)+1.96 \times {\sqrt{\frac{0.89(1-0.89)}{120}+ \frac{0.78(1-0.78)}{76}} }[/tex] ]

 = [0.00134 , 0.219]

Therefore, 95% confidence interval for the difference in population proportions of couples with children and with no children is [0.00134 , 0.219].

Answer:

7 yards

Step-by-step explanation:

252/12=21 21/3=7

Answer:

v = 3

Step-by-step explanation:

7(v - 3) + 7v = 21

distribute the 7 into the parentheses

7v -21 +7v = 21

combine like terms

14v - 21 = 21

add 21 on both sides

14v + 21 - 21 = 21 + 21 which equals 14v = 42

divide both sides by 14 to isolate v

14v/14 = 42/14

v = 3

hope this helps :)

Answer:

C. The population must be normally distributed.

Step-by-step explanation:

Population distribution have to do with the classification of people living in a particular geographical area into different segment such as Age, Occupation, Sex, Geographical location.

For instance

If Age distribution is use, the total number of people living in say New york will classified into 0-10 11-19years 20-29years and so on

Sex distribution involves distribution into the male and Female Category

Occupation distribution of Population involves classification of occupant of an area according to their Job.. I.e.Drives-15 people, Lawyer =2 people and so on.

Geographical location distribution of population involves the classification of people living in a particular country according to their geographical names. I.e. Abuja=3.5million people etc.

The requirements on the distribution of the population can vary depending on the analytical methods being used. Some methods require the population to be normally distributed, while others, such as those based on the Central Limit Theorem, can work reliably with large sample sizes regardless of whether the population is normally distributed.

In the field of statistics, when you are drawing conclusions or inferences from a dataset (sample), there are different requirements depending on the method used. Generally speaking, the assumption about the distribution of the population can vary.

For instance, if you are using methods based on the Central Limit Theorem (CLT), you might not require the population to be normal if your sample size is sufficiently large, as per option D. This is because the CLT states that if the sample size is large enough, the distribution of the sample means will approximate a normal distribution, regardless of the shape of the population distribution.

However, some analytical methods might require the population to be normally distributed for the method to produce reliable results. So, although there is not a one-size-fits-all answer, the requirements on the distribution of the population depend largely on the analytical methods being used.

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Answer:

x = 66

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360 degrees

103+133+58+x = 360

Combine like terms

294+x = 360

Subtract 294 from each side

294+x-294 = 360-294

x = 66

Answer:

x=[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

First, subtract 5 on both sides since when you subtract 5 from 5, it will give you 0.

Basically we are trying to get rid of the +5.

2x+5-5=10-5

2x=5

Divide by 2 to get rid of the 2 that is combined with the x.

2x/2=5/2

x=[tex]\frac{5}{2}[/tex]

Answer:x=5/2

Step-by-step explanation:

2x+5=10

Subtract 5 from both sides

2x+5-5=10-5

2x=5

Divide both sides by 2

2x/2=5/2

x=5/2

Answer:

D

Step-by-step explanation:

8^2+x^2=16^2

Answer:

You would create another equations that have same form as given equation.

For example, given y = (2/3)x - 5

=> Other one could be y = 2[(1/3)x - 5/2]

...

Hope this helps!

:)

Answer:

Sample Response/Explanation: To have an infinite number of solutions, the equations must graph the same line. That means the equations must be equivalent. To form an equivalent equation, use the properties of equality to rewrite the given equation in a different form. Add, subtract, multiply, or divide both sides of the equation by the same amount.

Step-by-step explanation:

Answer:

17/52

Step-by-step explanation:

there are 13 diamonds in a standard deck of 52 cards.

the probability of getting a diamond will therefore be 13/52 = 1/4

there are 4 aces in a standard deck of 52 cards.

the probability of getting an ace will therefore be 4/52 = 1/13

the probability of getting a diamond or an ace will be 1/4 + 1/13

= 17/52

We do not have enough evidence to conclude that the mean score is less than 275 for young men nationwide.

The null hypothesis (H0) is that the mean NAEP math score for young men nationwide is 275. The alternative hypothesis (Ha) is that the mean score is less than 275. The level of significance is 5%.

The t-test statistic is -0.86 and the p-value is 0.20. Since the p-value is greater than the significance level (0.20 > 0.05), we fail to reject the null hypothesis. This means we do not have enough evidence to conclude that the mean score is less than 275 for young men nationwide.

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Answer:

The expected value of X is 13.4.

Step-by-step explanation:

For each boox any time a ball is placed, there are only two possible outcomes. Either the ball is put into the box, or it is not. The boxes are independent. So the binomial probability distribution is used to solve this question.

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.

200 balls placed in boxes:

This means that [tex]n = 200[/tex]

For each box, the ball has 1/100 probability of being put there:

This means that [tex]p = \frac{1}{100} = 0.01[/tex]

The probability of a box being empty:

This is P(X = 0).

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

[tex]P(X = 0) = C_{100,0}.(0.01)^{0}.(0.99)^{200} = 0.1340[/tex]

Let X denote the number of empty boxes at the end. What is the expected value of X?

Each box has a 0.1340 probability of being empty at the end.

There are 100 boxes.

So

0.1340*100 = 13.4

The expected value of X is 13.4.

Answer: a) The graph opens up.

Step-by-step explanation:

The vertex is the minimum/maximum of a parabola.

We know that the vertex is in the second quadrant (so it is in the quadrant of positive y values and negative x values)

We also know that it has no real roots, so the graph never touches the x-axis, and knowing that the vertex is above the x-axis, then the graph must open upwards.

Then the correct option is:

a) The graph opens up.

When the vertex of the graph of a quadratic function is in the second quadrant and has no real solutions, this means that the graph opens down. The other statements provided are not necessarily true in this specific context.

In the context of this problem related to quadratic functions, if the vertex of the graph is in the second quadrant and there are no real solutions, the correct statement is (b) the graph opens down. Quadratic functions in the second quadrant that have no real solutions indeed point downwards. This is due to the fact that the function cannot touch or cross the x-axis (indicating that there are no real solutions).

As for option (c), the y-intercept could be any real number, so it does not have to be 0. Concerning option (d), the axis of symmetry can't be x = 0 as the vertex is in the second quadrant and x = 0 is the y-axis. Lastly, option (a) is false because if the graph opened up it would pass through the x-axis, providing real solutions, contrary to what is given in the problem.

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With 97% confidence, we estimate that the true standard deviation of the firm's employees' work hours lies within the range of approximately 5.832 to 7.950 hours per week.

To construct a 97% confidence interval for the standard deviation [tex](\(\sigma\))[/tex], we use the chi-square distribution. The formula for the confidence interval is given by:

[tex]\[ \left( \sqrt{\frac{(n-1)s^2}{\chi_{\alpha/2}^2}}, \sqrt{\frac{(n-1)s^2}{\chi_{1-\alpha/2}^2}} \right) \][/tex]

where [tex]\(n\)[/tex] is the sample size, [tex]\(s\)[/tex]  is the sample standard deviation, [tex]\(\alpha\)[/tex]is the significance level, and [tex]\(\chi_{\alpha/2}^2\)[/tex]  and [tex]\(\chi_{1-\alpha/2}^2\)[/tex]  are the chi-square critical values.

Given that [tex]\(n = 50\)[/tex] , [tex]\(s = 7.2\)[/tex] , and [tex]\(\alpha = 0.03\)[/tex]  (97% confidence level corresponds to [tex]\(\alpha/2 = 0.015\))[/tex] , we look up the critical values from the chi-square distribution table. For 49 degrees of freedom (50-1), the critical values are approximately 31.449 and 71.420.

Substitute these values into the formula:

[tex]\[ \left( \sqrt{\frac{49 \times 7.2^2}{31.449}}, \sqrt{\frac{49 \times 7.2^2}{71.420}} \right) \][/tex]

The formula for the confidence interval is:

[tex]\[ \left( \sqrt{\frac{(n-1)s^2}{\chi_{\alpha/2}^2}}, \sqrt{\frac{(n-1)s^2}{\chi_{1-\alpha/2}^2}} \right) \][/tex]

Given:

[tex]\[ n = 50, \ s = 7.2, \ \alpha = 0.03 \][/tex]

For 49 degrees of freedom (50-1), the chi-square critical values are approximately 31.449 [tex](\(\chi_{\alpha/2}^2\))[/tex]  and 71.420 [tex](\(\chi_{1-\alpha/2}^2\))[/tex] .

Now, substitute these values into the formula:

[tex]\[ \left( \sqrt{\frac{49 \times 7.2^2}{31.449}}, \sqrt{\frac{49 \times 7.2^2}{71.420}} \right) \][/tex]

Calculating this yields approximately (5.832, 7.950).

Therefore, the 97% confidence interval for the standard deviation of the weekly work hours is approximately (5.832, 7.950).

In summary, with 97% confidence, we estimate that the true standard deviation of the firm's employees' work hours lies within the range of approximately 5.832 to 7.950 hours per week.

Answer:

1

Step-by-step explanation:

because one pizza is cut into 8 so

1 piece would be even

=1

The amount of pizza received by each person is 0.125.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The number of pizza is 1.

And, the total number of people is 8.

Now, the share of each people can be obtained as follows,

Consider that each people get the equal share.

The arithmetic operation used in this case is division.

Then, the problem can be solved by dividing 1 by 8 as follows,

⇒ 1 ÷ 8 = 1/8 = 0.125

The result of the division is a decimal number which shows that the amount of pizza for each people is the smallest part less than the whole.

Hence, the share of pizza received by each person is 0.125.

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Answer:

v= 205.3

Step-by-step explanation:

The formula to solve a pyramid is v=(l*h*w)/3.

11*7*8=616

616/3=205.333.... (repeating 3)

about 205.3

~sorry I couldn't draw it out~

Answer:

6

Step-by-step explanation:

If there was one man, he would have taken 15×4= 60 hours

To complete the job in 10 hours, 60÷10 = 6 men will be needed

To paint the room in 10 hours instead of 15, the calculation shows that 6 men would be needed. This is determined through the concept of work rate and inverse proportions, calculating the total man-hours and then dividing by the desired hours.

The question involves determining the number of men needed to paint a room in 10 hours, given it takes 15 hours for 4 men to paint the same room. This problem can be solved using the concept of work rate and inverse proportions, which is a common method in Mathematics to deal with time and work problems. First, we calculate the work rate of the 4 men together and then find how many men would be needed to complete the job in 10 hours at a proportional rate.

Calculation steps:

Therefore, 6 men would be needed to paint the room in 10 hours.

Answer:

x^2+8x+16

(x+4)^2

Step-by-step explanation:

x^2 +8x

Take the coefficient of the x term

8

Divide by 2

8/2 =4

Square it

4^2 =16

x^2+8x+16

We can factor it into

(x+8/2) ^2

(x+4)^2

Final answer:

Completing the square for the expression x² + 8x involves adding and subtracting 16 to form the perfect square trinomial (x + 4)² and then subtracting 16. The factored form of the resulting trinomial is (x + 4)² - 16.

Explanation:

To complete the square for the expression x² + 8x, we need to find a number that, when added to 8x, will make the expression a perfect square trinomial. The number we're looking for is ²⁄8², which is 16. So, we add and subtract 16 within the expression to maintain equality.

The expression becomes x² + 8x + 16 - 16. Now the first three terms form a perfect square trinomial (x + 4)², and we still have -16. The expression is (x + 4)² - 16.

To factor the trinomial, we write it as the square of a binomial: (x + 4)². Hence, the expression x² + 8x can be written as (x + 4)² - 16, which is the factored form of the trinomial resulting from the completion of the square.

Look at the attached picture z

⤴

Hope it will help u...

Answer:

So the decay percentage rate is of 70.8%

Step-by-step explanation:

An exponentil function has the following format:

[tex]y = ca^{x}[/tex]

In which c is a constant.

If a>1, we have that a = 1 + r and r is the growth rate.

If a<1, we have that a = 1 - r and r is the decay rate.

In this problem:

a = 0.292

A is lesser than 1, so r is the decay rate.

1 - r = 0.292

r = 1 - 0.292

r = 0.708

So the decay percentage rate is of 70.8%

Answer:

b,c

Step-by-step explanation:

To enclose a circular garden with a radius of 14m, you would need 88 meters of fencing.

To find the amount of fencing required to enclose a circular garden, you need to calculate the circumference of the garden. The formula for circumference is given by C = 2πr, where r is the radius of the garden.

Given that the radius is 14m, you can use the value of π as 22/7. So, the circumference is C = 2 * (22/7) * 14 = 88m.

Therefore, you would need 88 meters of fencing to enclose the circular garden.