All categories

2 years ago

When Tomas simplified the expression -2.6 + (-5.4), he got 2.8. what mistake did Tomas likely make?

Mathematics

1 answer:

vladimir2022 [97]2 years ago

5 0

Tomas used incorrectly the rule of signs, the expression should be simplified as follows:

-2.6 + (-5.4)

-2.6 -5.4 = 8

<h3></h3><h3>What mistake did Tomas likely make?</h3>

Here Tomas wants to perform an addition between two numbers:

-2.6 + (-5.4)

And the outcome that Tomas gets is:

-2.6 + (-5.4) = 2.8

Here his mistake seems to bee that he thought the second number was a positive number, and he solved the operation:

-2.6 + 5.4

So, he used wrong the rule of signs.

Remember that the rule of signs says that:

(-)*(+) = (+)*(-) = (-)

Using that, we can rewrite the original expression:

-2.6 + (-5.4)

to:

-2.6 - 5.4

Solving that, we get:

-2.6 - 5.4 = -8

Which is the outcome that Tomas would have gotten if he had used correctly the rule of signs.

If you want to learn more about the rule of signs:

brainly.com/question/13333620

#SPJ1

You might be interested in

I'm gonna go in order now, I'll mark you the brainiest and give you the more points

velikii [3]

Skew lines are lines that are not pararell or perpendicular.

The only lines that fit this explanation are AE and GF

Hope this helps!

7 0

3 years ago

Read 2 more answers

Riemann's negation created what famous form of non-Euclidean geometry?

vodomira [7]

Answer: Spherical

Step-by-step explanation:

A non -Euclidean geometry is a geometry without a flat surface, unlike the properties of things geometry’s like points, lines, and other shapes which exist in a non-flat world. Spherical geometry which is a kind of plane geometry wound round a surface of a sphere is a perfect example of a non-Euclidean geometry. Which was created by Riemann's negation.

5 0

3 years ago

The triangles in the picture are congruent by which method

Kryger [21]

The second answer choice.

6 0

3 years ago

there are six muffins in a package how many packages will be needed to feed 48 people if each person has two muffins

wolverine [178]

Answer:

16 packages of muffins

Step-by-step explanation:

1) First you need to find out how many muffins you need total. If each person has two muffins and there are 48 people, how muffins would that be? To find out, multiply 48 and 2 together.

48 * 2 = 96

So now we know that we must have 96 muffins in total

2) Now we have to find out how many muffin packages we will need. If there are 6 muffins in each package and we need to have 96 muffins in total, how many packages will we need? To find out, divide 96 by 6.

96/6 = 16

From this we know that you will need 16 packages

3 0

3 years ago

Read 2 more answers

One study reports that 34% of newly hired MBAs are confronted with unethical business practices during their first year of empl

MaRussiya [10]

Answer:

$z=\frac{0.28 -0.34}{\sqrt{\frac{0.34(1-0.34)}{116}}}=-1.364$

$p_v =2*P(Z$

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 graduates from the previous year claim to have encountered unethical business practices in the workplace is not significant different from 0.34.

Step-by-step explanation:

1) Data given and notation

n=116 represent the random sample taken

X represent the number graduates from the previous year claim to have encountered unethical business practices in the workplace

$\hat p=0.28$ estimated proportion of graduates from the previous year claim to have encountered unethical business practices in the workplace

$p_o=0.34$ is the value that we want to test

$\alpha=0.05$ 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 is 0.34 or no.:

Null hypothesis: $p=0.34$

Alternative hypothesis: $p \neq 0.34$

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:

$z=\frac{0.28 -0.34}{\sqrt{\frac{0.34(1-0.34)}{116}}}=-1.364$

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 next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(Z$

5 0

3 years ago