SOlve the system of equations using substitution y=2x-10 y=4x-8

Given the domain (-2,2,4) what is the range for the relation 3x-y=3

Bumek [7]

Answer:

Given the domain, the range for 3x-y = 3 is {-9, 6, 9}

Step-by-step explanation:

First you have to put the relation in terms of y ⇒ 3x - y = 3⇒ 3x -3 = y

⇒ y = 3x - 3.

Then you replace the values indicated by the domain to find their "y" values (the ones that constitute the range).

f(-2) = -9

f(2) = 6

f(4) = 9.

Finally, the range for the given domain is {-9, 6, 9}

3 0

3 years ago

Use this information to answer the questions. University personnel are concerned about the sleeping habits of students and the n

Oksanka [162]

Answer:

$z=\frac{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097$

$p_v =P(Z>2.097)=0.018$

If we compare the p value obtained and the significance level given $\alpha=0.05$ 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 students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

Step-by-step explanation:

1) Data given and notation

n=377 represent the random sample taken

X=209 represent the students reported experiencing excessive daytime sleepiness (EDS)

$\hat p=\frac{209}{377}=0.554$ estimated proportion of students reported experiencing excessive daytime sleepiness (EDS)

$p_o=0.5$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

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 the true proportion is higher than 0.5:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

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:

$z=\frac{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097$

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 significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(Z>2.097)=0.018$

If we compare the p value obtained and the significance level given $\alpha=0.05$ 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 students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

6 0

3 years ago

What is 3z + 2 when z = 2?

I am Lyosha [343]

Answer:

b 8

Step-by-step explanation:

just replace the z with a 2 and solve

3(2)+2

4 0

3 years ago

Read 2 more answers

A remote-control airplane descends at a rate of 2 feet per second. After 3 seconds it is 67 feet above the ground. Write the equ

Anastaziya [24]

A] A remote-control airplane descends at a rate of 2 feet per second. After 3 seconds it is 67 feet above the ground.
the point slope equation will be given as follows:
y-y1=m(x-x1)
where:
slope,m=2 ft/sec
(x1,y1)=(3,67)
thus plugging in the values in the formula, we obtain the point slope equation as follow:
y-67=2(x-3)

Answer:
y-67=2(x-3)

b]The height of the plane after 8 seconds will be:
x=8 sec
but:
y-67=2(x-3)
substituting x=8 we get:
y-67=2(8-3)
y-67=2(5)
y=10+67
y=77
thus the height after 8 seconds is 77 ft

4 0

3 years ago

Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms

guapka [62]

an aritmetic sequence increases by the same amount each time (if it decreases, then it increases by a negative number)

the common difference is the number that must be added to a term to get the next term

let's see if it increases by the same amount

-5 to -11 is increase of -6

-11 to -17 is increase of -6

-17 to -23 is increase of -6

-23 to -29 is increase of -6

so it appears to be aritmetic

common difference is -6

-29-6=-35

-35-6=-41

-41-6=-47

the next 3 terms are -35, -41, -47

4 0

3 years ago