368,561 rounded to the 3s place <br><br>the question ends in 2 mins...

dedylja [7]

Answer:

Carter family = 25 hours

Davis family = 31 hours

Step-by-step explanation:

Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.

So combined:

x + y = 45 hours

and we are also told that:

40x + 15y = 1300 L

So we can do simultaneous equations to solve the problem.

With some rearranging, we can figure out that:

y= 45 - x

and by substituting that into the second equation:

40x + 15 (45 -x) = 40x + 675 - 15x = 1300L

25x = 1300 - 675

25x = 625

x = 25 = hours that the Carter family used their sprinkler

and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:

25 + y = 56

y = 31

The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.

7 0

2 years ago

What are mathematical formulas placed in software that performs an analysis on a data set?

aalyn [17]

Algorithms are mathematical formulas placed in software that performs an analysis on a data set.

<h3>What are algorithms?</h3>

Algorithms are mathematical formulas that are used in software to analyze data sets.
An algorithm is a finite sequence of rigorous instructions used to solve a class of specific problems or to perform a computation in mathematics and computer science.
Algorithms serve as specifications for calculating and processing data.
More sophisticated algorithms can perform automated deductions (also known as automated reasoning) and use mathematical and logical tests to route code execution through different paths (referred to as automated decision-making).
Alan Turing pioneered the use of human characteristics as metaphorical descriptors of machines with terms like "memory," "search," and "stimulus."

Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.

Know more about algorithms here:

brainly.com/question/13800096

#SPJ4

8 0

2 years ago

180=(9X-11)+(4X+1)+(7X-3)

Rudik [331]

180=(9X-11)+(4X+1)+(7X-3)
180=20x-13
193=20x
9.65=x

3 0

3 years ago

During the 2010 baseball season, the number of wins for three teams was three consecutive integers. Of these three teams, the

elena55 [62]

Answer:

Step-by-step explanation:

Let x represent the number of wins of the least team.

The number of wins for three teams was three consecutive integers. Of these three teams, if the first team had the most wins and the last team had the least wins. It means that the number of wins of the second team would be x - 1

The number if wins on the last team would be x - 2

The total number of wins by these three teams was 243. It means that

x + x - 1 + x - 2 = 243

3x - 3 = 243

3x = 243 + 3 = 246

x = 246/3 = 82

The first team had 82 wins

The second team had 82 - 1 = 81 wins

The last team had 82 - 2 = 80 wins

5 0

3 years ago

Integrated circuits consist of electric channels that are etched onto silicon wafers. A certain proportion of circuits are defec

boyakko [2]

Answer:

$z=\frac{0.033 -0.05}{\sqrt{\frac{0.05(1-0.05)}{1000}}}=-2.467$

$p_v =P(Z>-2.467)=0.0068$

So the p value obtained was a very low value and using the significance level assumed for example $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of circuits that show evidence of undercutting is significantly less than 0.05.

Step-by-step explanation:

1) Data given and notation

n=1000 represent the random sample taken

X=33 represent the number of circuits that show evidence of undercutting

$\hat p=\frac{33}{1000}=0.033$ estimated proportion of circuits that show evidence of undercutting

$p_o=0.05$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that they reduce the rate of undercutting to less than 5%.:

Null hypothesis: $p\geq 0.05$

Alternative hypothesis: $p < 0.05$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.033 -0.05}{\sqrt{\frac{0.05(1-0.05)}{1000}}}=-2.467$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(Z>-2.467)=0.0068$

So the p value obtained was a very low value and using the significance level assumed for example $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of circuits that show evidence of undercutting is significantly less than 0.05.

4 0

3 years ago

368,561 rounded to the 3s place the question ends in 2 mins...