Write an expression to represent: Three minus the product of two and a number x

MrRa [10]

9514 1404 393

Answer:

(d) No, the figures are different sizes

Step-by-step explanation:

Congruent figures have corresponding sides the same length. A'''B''' is not the same length as AB, so the figures cannot be congruent.

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Congruence is sometimes shown by identifying rigid transformations that map one figure onto another. Rigid transformations preserve size. The sizes these figures are different, so rigid transformations cannot be used to map one figure to the other. The appropriate statement of this is choice D.

5 0

3 years ago

A recent article reported that a job awaits only one in three new college graduates. The major reasons given were an overabundan

nikitadnepr [17]

Answer:

$z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105$

$p_v =P(z>2.105)=0.018$

If we compare the p value obtained and the significance level given $\alpha=0.01$ 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 1% of significance the proportion of students that had job at the school mentioned is not significantly higher then 0.33 .

Step-by-step explanation:

1) Data given and notation

n=200 represent the random sample taken

X=80 represent the number of students that had jobs

$\hat p=\frac{80}{200}=0.4$ estimated proportion of students that had jobs

$p_o=0.3333$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

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 students that have jobs at the school mentioned is higher than the reported value at the article:

Null hypothesis: $p\leq 0.33$

Alternative hypothesis: $p > 0.33$

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:

$z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105$

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 $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.105)=0.018$

If we compare the p value obtained and the significance level given $\alpha=0.01$ 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 1% of significance the proportion of students that had job at the school mentioned is not significantly higher then 0.33 .

7 0

3 years ago

Which pair of radicals is a pair of like radicals

kirill115 [55]

The last choice, since they have the same number in their square roots.

5 0

3 years ago

Rewrite in the simplest terms: 9v-8(10v-9)

Ray Of Light [21]

9v - 8(10v - 9) = 9v - 80v + 72 = -71v + 72

8 0

3 years ago

Please help!!!!

vfiekz [6]

I solved this problem by setting 240/80 equal to x/100 . Once you set them equal to each other, multiply 240 and 100 and divide the product by 80 and you get 300.

3 0

3 years ago