Use trigonometric ratios to find the indicated side

Find the inequality represented by the graph

Vika [28.1K]

Answer:

y < 1/4x + 3

Step-by-step explanation:

the line is dotted so we know the symbol will not include the "equal to" part

we can also see that the shading in below the y intercept, so we know that the symbol will also be less than

this means the symbol is <

now, create an equation for the line:

we know that the y intercept is 3, and that there is a rise of 1 and a walk of 4

so the slope is 1/4

now put this together and you get 1/4x + 3

this part will go on the right side of the < symbol in your inequality

so now you can create an inequality: y < 1/4x + 3

8 0

3 years ago

Read 2 more answers

The author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed

algol [13]

Answer:

$\chi^2 = \frac{(27-33.33)^2}{33.33}+\frac{(31-33.33)^2}{33.33}+\frac{(42-33.33)^2}{33.33}+\frac{(40-33.33)^2}{33.33}+\frac{(28-33.33)^2}{33.33}+\frac{(32-33.33)^2}{33.33} =5.860$

$p_v = P(\chi^2_{5} >5.860)=0.32$

Since the p value is higher than the significance level assumed 0.05 we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we can assume that we have equally like results.

Step-by-step explanation:

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".

Assume the following dataset:

Number: 1, 2 , 3 , 4 , 5 ,6

Frequency: 27, 31, 42, 40, 28, 32

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

H0: The outcomes are equally likely.

H1: The outcomes are not equally likely.

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 observed values are given:

$O_{1}=27$ $O_{2}=31$

$O_{3}=42$ $O_{4}=40$

$O_{5}=28$ $O_{6}=32$

The expected values are given by:

$E_{1} =\frac{1}{6}*200=33.33$ $E_{2} =\frac{1}{6}*200=33.33$

$E_{3} =\frac{1}{6}*200=33.33$ $E_{4} =\frac{1}{6}*200=33.33$

$E_{5} =\frac{1}{6}*200=33.33$ $E_{6} =\frac{1}{6}*200=33.33$

And now we can calculate the statistic:

$\chi^2 = \frac{(27-33.33)^2}{33.33}+\frac{(31-33.33)^2}{33.33}+\frac{(42-33.33)^2}{33.33}+\frac{(40-33.33)^2}{33.33}+\frac{(28-33.33)^2}{33.33}+\frac{(32-33.33)^2}{33.33} =5.860$

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

$df=Categories-1=6-1=5$

And we can calculate the p value given by:

$p_v = P(\chi^2_{5} >5.860)=0.32$

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

"=1-CHISQ.DIST(5.860,5,TRUE)"

Since the p value is higher than the significance level assumed 0.05 we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we can assume that we have equally like results.

4 0

4 years ago

In this quadrilateral x= A) 56. B) 67 C) 78 D) 89

Oxana [17]

the correct answer is c 78

Step-by-step explanation:

lit can't be a because to small and can't be b because also to small. and and 92 is uptus and this is an acute angle

6 0

4 years ago

Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v

defon

Answer:

13.30

Step-by-step explanation:

$79.80 / 6 hours = $13.30

3 0

3 years ago

Read 2 more answers

PLEASE HELP FAST!!!!!

kap26 [50]

Answer:

See below

Step-by-step explanation:

Given functions

f(x)=8^x
g(x)=8^(x+5) + 1

As we see g(x) = f(x + 5) + 1, which means horizontal translation 5 units left and vertical translation 1 unit up.

Answer options are all incorrect

7 0

3 years ago