Is 61/100 bigger than, less than, or equal to 2/5

1. Translate the figure: Right 5 and Up 4

Len [333]

Step-by-step explanation:

Right 5 and 4 =9 that is the answer

5 0

3 years ago

Solve the following system of equations by graphing: 2x + 6y = 20 3x − 2y = 8

denpristay [2]

2x + 6y = 20
3x - 2y = 8

I'll just substitute x and y with its corresponding values per option.

A) x = 4 ; y = 2
2(4) + 6(2) = 20 3(4) - 2(2) = 8
8 + 12 = 20 12 - 4 = 8
20 = 20 8 = 8

B) x = 4 ; y = -2
2(4) + 6(-2) = 20
8 - 12 = 20
-4 ≠ 20

C) x = -2 ; y = 4
2(-2) + 6(4) = 20 3(-2) - 2(4) = 8
-4 + 24 = 20 -6 - 8 = 8
20 = 20 - 14 ≠ 8

D) x = 2 ; y = 4
2(2) + 6(4) = 20
4 + 24 = 20
28 ≠ 20

Choice A. x = 4 ; y = 2 is the correct answer.

4 0

3 years ago

A well-known brokerage firm executive claimed that at least 41 % of investors are currently confident of meeting their investmen

atroni [7]

Answer:

$z=\frac{0.398 -0.41}{\sqrt{\frac{0.41(1-0.41)}{88}}}=-0.229$

Step-by-step explanation:

1) Data given and notation n

n=88 represent the random sample taken

X=35 represent the adults that said they are confident of meeting their goals

$\hat p=\frac{35}{88}=0.398$ estimated proportion of adults that said they are confident of meeting their goals

$p_o=0.41$ is the value that we want to test

$\alpha$ represent the significance level

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 that at least 41 % of investors are currently confident of meeting their investment goals.:

Null hypothesis: $p=0.41$

Alternative hypothesis: $p < 0.41$

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:

$z=\frac{0.398 -0.41}{\sqrt{\frac{0.41(1-0.41)}{88}}}=-0.229$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This methos 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 is not provided, but we can assume $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a unilateral test the p value would be:

$p_v =P(z$

Using the p value obtained and the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of of investors that are currently confident of meeting their investment goals is not significantly lower than 0.41 or 41%.