What is equivalent to -1/3-(-5/12)

I NEED HELP THIS ANSWER FOR A QUIZ ASAP

olga55 [171]

Answer: 7

Step-by-step explanation:

2 to the 5th power would be 32 and 5 to the 2nd power would be 25 so 32-25 = 7

6 0

3 years ago

Read 2 more answers

A newspaper poll asked respondents if they trusted "eco friendly" labels on cleaning products. Out of 1000 adults surveyed, 498

Paul [167]

Answer:

So the p value obtained was a very high value and using 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 respondents that trust these labels is not significanlty less than 0.5 or 50%.

Step-by-step explanation:

1) Data given and notation

n=1000 represent the random sample taken

X=498 represent the adults that trust these labels

$\hat p=\frac{498}{1000}=0.498$ estimated proportion of respondents that trust these labels

$p_o=0.5$ 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 the proportion of respondents that trust these labels is at least 50%:

Null hypothesis: $p\geq 0.5$

Alternative hypothesis: $p < 0.5$

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:

$z=\frac{0.498 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=-0.126$

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 is not provided but we can assume it as $\alpha=0.05$ . 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 high value and using 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 respondents that trust these labels is not significanlty less than 0.5 or 50%.

7 0

4 years ago

Marvin made some candles that each weighed 3/4 pound. He shipped them in a box that weighed 3 pounds. The total weight of the bo

zzz [600]

Total weight = 12
weight of box =3
12 - 3 = 9 lbs of candles
So how many times does .75 or 3/4 go into 9?
9/.75= 12, so 12 candles were shipped

5 0

3 years ago

Read 2 more answers

-5/8(-3/8 minus one fourth)

Ne4ueva [31]

The value of $\frac{-5}{8} (\frac{-3}{8}-\frac{1}{4} )$ = 25/64

<h3>What is fraction?</h3>

A fraction simply tells us how many parts of a whole we have. You can recognize a fraction by the slash that is written between the two numbers.

$\frac{-5}{8} (\frac{-3}{8}-\frac{1}{4} )$

= -5/8 (-3/8 -2/8)

= -5/8 (-5/8)

= 25/64

Thus, $\frac{-5}{8} (\frac{-3}{8}-\frac{1}{4} )$ = 25/64

Learn more about fraction here:

brainly.com/question/10354322

#SPJ1

3 0

2 years ago

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg × 1.1010 dg

12.0 m ÷ 3.1415 m

Answer:

1. $5.61000dg * 1.1010dg$ = $6.177 dg^2$

2. $\frac{12}{3.1415} = 3.8198$

Step-by-step explanation:

1. 5.61000 dg × 1.1010 dg

We start by representing each digit using scientific notation

$5.61000 = 561000 * 10^{-5}$

$1.1010 = 11010 * 10^{-4}$

Then, Multiply both numbers

$561000 * 10^{-5} * 11010 * 10^{-4}$

First, rearrange

$561000 * 11010 * 10^{-5} * 10^{-4}$

$6176610000 * 10^{-5} * 10^{-4}$

From law of indices, $10^{-5} * 10^{-4} = 10^{-9}$ ;

So, we have

$6176610000 * 10^{-9}$

$6.176610000$

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives $6.177$