Find the solutions to the system of equations algebraically. <br> x2 + y2 = 25 <br> y = -2x + 5

What is 36/48 simplifiied?

Sunny_sXe [5.5K]

36/48 simplified is 3/4

divide both by 12
36÷12
3
48÷12
4

3 0

3 years ago

Read 2 more answers

Can Someone Please help me asap??!!!!

Hatshy [7]

aarons height is 75 centimeters and Peter's is 1050 centimeters

4 0

4 years ago

For a science experiment Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolv

shutvik [7]

Answer : Marcia salt solution has more concentration than Bobby salt solution

The concentration of Marcia salt solution is 1kg/3L= 0.33kg/L

It's a bit harder to count Bobby salt solution since you need to convert the pounds into kg and the pints into Liter. If you don't do that, you can't compare the concentration. The calculation would be:
2 pounds/ 15pints x (1kg/2.2lb) x (1L/2.1pints) = 0.02889 kg/L
Rounded up into hundredth = 0.03kg/L

3 0

3 years ago

A machine that puts corn flakes into boxes is adjusted to put an average of 15.6 ounces into each box, with standard deviation o

Anastaziya [24]

Answer:

$\chi^2 =\frac{15-1}{0.0676} 0.1521 =31.5$

$p_v =P(\chi^2_{14} >31.5)=0.0047$

If we compare the p value and the significance level assumed of 0.05 we see that $p_v$ so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly higher than 0.26^2=0.0676.

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=15$ represent the sample size

$\alpha$ represent the confidence level

$s^2 =0.39^2 =0.1521$ represent the sample variance obtained

$\sigma^2_0 =0.26^2 =0.0676$ represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is violated, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \leq 0.0676$

Alternative hypothesis: $\sigma^2 >0.0676$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{15-1}{0.0676} 0.1521 =31.5$

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case df=15-1=14. And since is a right tailed test the p value would be given by:

$p_v =P(\chi^2_{14} >31.5)=0.0047$

In order to find the p value we can use the following code in excel:

"=1-CHISQ.DIST(31.5,14,TRUE)"

Conclusion

If we compare the p value and the significance level assumed of 0.05 we see that $p_v$ so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly higher than 0.26^2=0.0676.

4 0

3 years ago

There are 4 books on a shelf. books are added to the shelf at a rate of 2 books per minute. the total number of books on the she

Bad White [126]

The algebraic equation to represent the given situation is as follows,

y = 4 + 2x

What is an algebraic equation?

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Forming the Algebraic Equation

Number of book present on the shelf initially = 4

It is given that 2 books are added per minute to the shelf.

If x is the number of minutes, then the books added will be 2x.

If y is the total number of books present on the shelf, then the algebraic equation is given as,

y = Number of books initially present on the shelf + 2x

⇒ y = 4 + 2x

Thus, y = 4 + 2x is the required algebraic equation.

Learn more about algebraic equation here:

brainly.com/question/953809

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6 0

2 years ago

Find the solutions to the system of equations algebraically. x2 + y2 = 25 y = -2x + 5