What is 251 rounded to the nearest ten

The hypotenuse of a right triangle is 4 feet

juin [17]

Answer:

514 feet

Step-by-step explanation:

Just simply use the pythagorean thereom:

a^2 +b^2 = c^2 (or if you are a nerd (a+bi)(a-bi) = c^2)

plug in the values of a, b, and c with the side lengths of the triangle:

x feet, 64 feet, and x+4 feet

x^2 +64^2 = (x+4)^2 , thus x =510

the hypotenuse = x+4 feet = 510 + 4 = 514

ANSWER: 514 feet

6 0

3 years ago

Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and compani

Alla [95]

Answer:

$t=\frac{17.8-19.4}{\frac{5.4}{\sqrt{36}}}=-1.78$

$p_v =2*P(t_{(35)}$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean P/E ratio of all socially conscious stocks it's not significantly different from the mean P/E ratio of the S&P Stock Index (19.4) at 5% of signficance.

Step-by-step explanation:

1) Data given and notation

$\bar X=17.8$ represent the P/E ratio sample mean

$s=5.4$ represent the sample standard deviation

$n=36$ sample size

$\mu_o =19.4$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean P/E ratio of all socially conscious stocks is different (either way) from the mean P/E ratio of the S&P Stock Index (19.4) :

Null hypothesis: $\mu =19.4$

Alternative hypothesis: $\mu \neq 19.4$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{17.8-19.4}{\frac{5.4}{\sqrt{36}}}=-1.78$

4) P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=36-1=35$

Since is a two-sided test the p value would be:

$p_v =2*P(t_{(35)}$

5) Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean P/E ratio of all socially conscious stocks it's not significantly different from the mean P/E ratio of the S&P Stock Index (19.4) at 5% of signficance.

7 0

2 years ago

Simple and easy question<br> please help

In-s [12.5K]

Answer:

Total volume of the figure = 1067 cm³

Step-by-step explanation:

Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid

Volume of the rectangular prism = Length × Width × Height

= 10 × 10 × 7

= 700 cm³

Volume of the square pyramid = $\frac{1}{3}(\text{Area of the base})\times (\text{height})$