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Nina [5.8K]
3 years ago
15

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

Mathematics
1 answer:
alina1380 [7]3 years ago
7 0
13 hypotenuses iykyk
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What is this trinomial in factored form? 3a^2-2a-1
Dafna1 [17]
<span>Simplifying 3a2 + -2a + -1 = 0 Reorder the terms: -1 + -2a + 3a2 = 0 Solving -1 + -2a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (-1 + -3a)(1 + -1a) = 0 Subproblem 1Set the factor '(-1 + -3a)' equal to zero and attempt to solve: Simplifying -1 + -3a = 0 Solving -1 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3a = 0 + 1 -3a = 0 + 1 Combine like terms: 0 + 1 = 1 -3a = 1 Divide each side by '-3'. a = -0.3333333333 Simplifying a = -0.3333333333 Subproblem 2Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solutiona = {-0.3333333333, 1}</span>
4 0
3 years ago
Solve the system below using substitution write your final answer as a coordinate point
Mademuasel [1]

(3, -2)

Step-by-step explanation:

y = -2x + 4

-x + 3y = -9

-x + 3 (-2x + 4) = -9

-x + -6x + 12 = -9

-7x = - 9 – 12

-7x = - 21

X = 3

We substitute x with 3 to evaluate y;

-3 + 3y = -9

3y = -6

y = -2

Elimination Method;

y = -2x + 4

-x + 3y = -9

We arrange the equations for substitution;

2x + y = 4

-x + 3y = -9

We multiply the first equation with 3 so we can substract one variable to zero;

3 (2x + y = 4)

= 6x + 3y = 12

Then we subtract the two;

6x + 3y = 12

-x + 3y = -9

7x = 21

x = 3

We evaluate y by substitution x with 3 in one of the equation;

-x + 3y = -9

-3 + 3y = -9

3y = -6

y = -2

The final answer expressed as a coordinate point is;

(3, -2)

7 0
3 years ago
What is the critical f-value when the sample size for the numerator is four and the sample size for the denominator is seven? us
fgiga [73]

Assuming that we are performing a two-tailed test, the significance level is α = 0.1 would be dispersed in the distribution's tails with α/2  = 0.05.

And we must consider two critical values that add up to 0.05 of a area on every tail of a F distribution with a 10 degree angle.

\begin{aligned}&F_{\alpha / 2}=0.311 \\&F_{1-\alpha / 2}=4.06\end{aligned}

<h3>What is critical f-value?</h3>

An F statistic is one that is ascertained through an ANOVA test. It helps determine the relevance of the variable groups.

Now, according to the question;

We understand that sample size for numerator is 11 and also the sample size for denominator is 7. So, for each case, we can calculate a degrees of freedom as follows:

\begin{aligned}&d f_{\text {num }}=11-1=10 \\&d f_{d e n}=7-1=6\end{aligned}

In this case, the F distribution could have 10 degrees of freedom with in numerator as well as 6 degrees of freedom in the denominator.

Assuming we are conducting a two-tailed test, the significance level of α = 0.1 will be distributed in the tails of the distribution with α/2  = 0.05.

Now, locate two critical values that collect 0.05 of a area on every tail of F distribution to 10 degrees of freedom again for numerator and 6 degrees of freedom for the denominator and we obtained using a table or excel;

\begin{aligned}&F_{\alpha / 2}=0.311 \\&F_{1-\alpha / 2}=4.06\end{aligned}

Therefore, the critical f-value for the two-tailed experiment is found.

To know more about the critical f-value, here

brainly.com/question/17164520

#SPJ4

5 0
1 year ago
How do you do this? question this is a future value formula
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%60 because i dont know why actually
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If Ramona has saved 119 sand dollars and wants to give them away equally to x friends, write an expression to show how many sand
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Ramona has a total of 119 sand dollars and will disperse them equally to x friends. Take the total (119) and divide it by x friends:   119/x = amount.
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3 years ago
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