What is the coefficient for 5x + 3 = 18

lena finished her assignment in 1/2 hours. then she completed her other assignment in 1/5 hours. what was the total time lena sp

Mekhanik [1.2K]

Answer:

7/10 hours

Step-by-step explanation:

her first assignment took 1/2 hour

her second assignment took 1/5 hour

so in total she took 1/2 + 1/5

we need to find a common denominator

the lcm(2,5)=10

so multiply 1/2 by 5/5 to obtain 5/10

multiply 1/5 by 2/2 to obtain 2/10

5/10 + 2/10 = 7/10

4 0

3 years ago

What shape is your field of vision?

Nat2105 [25]

The shape of my field is an oval

It's oval rather than round because I have two eyes, and each has a separate field like the one pictured here. Putting them together creates an oval. So if you wanted to represent what I can see, you would take a wide-angle photo from my vantage point and cut out a roughly oval shape

Therefore, the shape of my field is an oval

6 0

2 years ago

There were 2430 Major League Baseball games played in 2009, and the home team won the game in 53% of the games. If we consider t

Ivahew [28]

Answer:

$z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958$

$p_v =P(Z>2.958)=0.0015$

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 is significantly higher than 0.5 .

Step-by-step explanation:

1) Data given and notation

n=2430 represent the random sample taken

$\hat p=0.53$ estimated proportion when the home team won the game

$p_o=0.5$ 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 proportion is higher than 0.5 or 50%:

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:

$z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958$

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:

$p_v =P(Z>2.958)=0.0015$

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 is significantly higher than 0.5 .

8 0

3 years ago

Write a function rule for the following geometric sequence.

Natasha2012 [34]

I think it f(x) = 3x + 4 if I am wrong I am so so sorry have a great day.

3 0

2 years ago

What numbers are 0.6 unit from 1.3 on a number line?

ruslelena [56]

Answer:

A

Step-by-step explanation:

HOEP IT HELPS I TRY MY BEST

6 0

2 years ago