The equation of a line is y = 2x − 6. Find the slope and y-intercept of the line.

Find the area of the irregular figure

umka21 [38]

Answer:

130

Step-by-step explanation:

square on top is 30

Big rectangle in middle is 75

Square on bottom is 25

8 0

3 years ago

A rectangular prism has a length of 12 in., a width of 5 in., and a height of 4 1/4 in.

Snezhnost [94]

The answer is ( total volume = 192 x 1/27 =192/27 =64/9) hope it helps and have a great day!

5 0

3 years ago

I need help with number 17. i’m confused on how you simplify the first parenthesis

PilotLPTM [1.2K]

Answer:

(1 - 2n)^3 equals

(1 -2n) * (1 -2n) * (1 -2n)

Step-by-step explanation:

5 0

3 years ago

kendrick deposits twice as much money into his account as he did the day before his initial deposit is 5 dollars write an equati

Ulleksa [173]

To represent this scenario, you will look at what is happening mathematically and represent it.

Beginning with 5, this will double each day, so 5 x 2 is the deposit.

Then, this amount will double, so (5 x 2) x 2 is the deposit.

Next this will double, and so on.

What is happening is that it is always doubling the previous day's deposit, so x 2 x 2 x 2, etc... you will use exponents to show the number of days that it doubled.

y = 5 x 2^x

8 0

3 years ago

A TV station claims that 38% of the 6:00 - 7:00 pm viewing audience watches its evening news program. A consumer group believes

Elena L [17]

Answer:

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

$p_v =P(Z$

So the p value obtained was a very low value and using 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 people that regularly watch the TV station’s news program is significantly less than 0.38 .

Step-by-step explanation:

1) Data given and notation

n=830 represent the random sample taken

X=282 represent the people that regularly watch the TV station’s news program

$\hat p=\frac{282}{830}=0.340$ estimated proportion of people that regularly watch the TV station’s news program

$p_o=0.38$ 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 proportion is less than 0.38:

Null hypothesis: $p\geq 0.38$

Alternative hypothesis: $p < 0.38$

When we conduct a proportion test we need to use the z statisitc, 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:

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

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 left tailed test the p value would be:

$p_v =P(Z$

So the p value obtained was a very low value and using 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 people that regularly watch the TV station’s news program is significantly less than 0.38 .

3 0

3 years ago