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2 years ago

What is the value of this expression? 3+2×(8−5)+6

Mathematics

1 answer:

11111nata11111 [884]2 years ago

8 0

We conclude that the expression is equal to 15.

<h3>How to find the value of the expression?</h3>

Here we have the expression:

3 + 2*(8 - 5) + 6

We start by solving the parenthesis, 8 - 5 = 3, then we get:

3 + 2*3 + 6

Now we solve the product: 2*3 = 6, then we get:

3 + 6 + 6

Now we can directly solve that addition:

3 + 6 + 6 = 3 + 12 = 15

We conclude that the expression is equal to 15.

If you want to learn more about algebraic expressions:

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What is the height, in inches, of a parallelogram that has a base of 3 feet and an area of 324 square inches?

AlekseyPX

The area of a parallelogram is just:

A=bh, we are given b=3ft, so b=36in and A=324in^2 so

324=36h dividing both sides by 36

h=9

So the height is 9 inches.

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3 years ago

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When 3010 adults were surveyed in a poll, 27% said that they use the Internet. Is it okay for a newspaper reporter to write th

tamaranim1 [39]

Answer:

Null hypothesis: $p=0.25$

Alternative hypothesis: $p \neq 0.25$

z=2.53

pv=0.0114

So based on the p value obtained and using the significance given $\alpha=0.05$ we have $p_v$ so we can conclude that we reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that they use the Internet differs from 0.25 or 25% .

Step-by-step explanation:

1) Data given and notation

n=3010 represent the random sample taken

X represent the people who says that said that they use the Internet.

$\hat p=\frac{X}{106}=0.27$ estimated proportion of people who says that said that they use the Internet.

$p_o=0.25$ 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 50% of people who says that they would watch one of the television shows.:

Null hypothesis: $p=0.25$

Alternative hypothesis: $p \neq 0.25$

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:

$z=\frac{0.27 -0.25}{\sqrt{\frac{0.25(1-0.25)}{3010}}}=2.53$

4) Statistical decision

P value method or p value approach . "This method consists on 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.

We have the significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.53)=2*(0.0057)=0.0114$

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3 years ago

Simplify (2+2i) divided by (1-i)

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Answer: 2i

Step-by-step explanation:

$\frac{2+2i}{1-i}$

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$=\frac{4i}{2}$

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pav-90 [236]

WX and ZY make up the legs, as illustrated in the diagram.
Since it is an isosceles trapezoid, the legs are congruent; that means
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