Determine the product of the binomial 6x−2 and the trinomial 3x2−5x−1.

What is the value of Y? Enter your answer in the box

Verizon [17]

The value of y is 64 degrees. There are a total of 180 degrees in a triangle. 79 + 37 = 116 degrees. 180 - 116 = 64 degrees.

6 0

3 years ago

According to the Mendelian theory of genetics, a certain garden pea plant should produce either white, pink, or red flowers with

solmaris [256]

Answer:

$\chi^2 = \frac{(141-141)^2}{141}+\frac{(291-282)^2}{282}+\frac{(132-141)^2}{141}=0.862$

$p_v = P(\chi^2_{2} >0.861)=0.6502$

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(0.861,2,TRUE)"

Since the p value is higher than the significance level $0.6502>0.05$ we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we don't have significant differences for the proportions assumed.

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Solution to the problem

Assume the following dataset:

White = 141, Pink = 291, Red= 132

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference with the proportions assumed $p_{white}=1/4, p_{pink}=1/2, p_{red}=1/4$

H1: There is difference with the proportions assumed $p_{white}=1/4, p_{pink}=1/2, p_{red}=1/4$

The level of significance assumed for this case is $\alpha=0.05$

The statistic to check the hypothesis is given by:

$\chi^2 = \sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

The table given represent the observed values, we just need to calculate the expected values with the following formula $E_i = p_i *Total$

And the calculations are given by:

$E_{White} =\fra{1}{4} * 564=141$

$E_{Pink} =\frac{1}{2} *564=282$

$E_{Red} =\frac{1}{4}*564=141$

And now we can calculate the statistic:

$\chi^2 = \frac{(141-141)^2}{141}+\frac{(291-282)^2}{282}+\frac{(132-141)^2}{141}=0.862$

Now we can calculate the degrees of freedom for the statistic given by:

$df=categories-1=3-1=2$

And we can calculate the p value given by:

$p_v = P(\chi^2_{2} >0.861)=0.6502$

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(0.861,2,TRUE)"

Since the p value is higher than the significance level $0.6502>0.05$ we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we don't have significant differences for the proportions assumed.

6 0

3 years ago

Hay 50 estudiantes en un mariachi estudiantil. Dos quintas partes tocan el violín. Una quinta parte de los violinistas también t

Ilya [14]

Answer:

La cantidad de violinistas que NO tocan la guitarra es 16.

Step-by-step explanation:

Hay 50 estudiantes en un mariachi estudiantil. Siendo dos quintos $\frac{2}{5}$ la cantidad de estudiantes que tocan el violín, entonces la cantidad de estudiantes que tocarán ese instrumento será calculado como la multiplicación entre dos quintos y la cantidad de estudiantes:

$\frac{2}{5} *50= 20$

Por otro lado, saber que una quinta parte ( $\frac{1}{5}$ ) de los violinistas también toca la guitarra. Entonces la cantidad de estudiantes que tocarán la guitarra y el violín será calculado como la multiplicación entre un quinto y la cantidad de estudiantes que tocan el violín (20 estudiantes):

$\frac{1}{5} *20= 4$

El resto de los violinistas NO tocan la guitarra. Se calcula como la diferencia (resta) entre el número total de violinistas y aquellos estudiantes que también tocan la guitarra:

20 - 4= 16

<u><em>La cantidad de violinistas que NO tocan la guitarra es 16.</em></u>

6 0

3 years ago

Find the value of -7 -8-(-8) -7

Nikitich [7]

I think the answer is -14

7 0

3 years ago

Which of the following are points are solutions to the equation 3x-4y-8=12 ? Select all that apply.

Greeley [361]

(0,5)
(4,-2)
(-16,17)

just substitute the x and y values from each coordinate into the equation

7 0

4 years ago