Find the equation of the line. <br><br> Use exact numbers. <br><br> Y=___x+ __

What the lateral and surface area of this figure

tamaranim1 [39]

Answer:

Lateral Surface Area = 314^2 inch = 314.86 square inch

To find Lateral Area

First we square two of the sides of the top to find the hypotenuse which is also the height of the side triangles.

Here we take 5^2 6^2 = 25 +36 = 61

as a decimal √61 ≈ 7.8102

7.8102 x 5 = 39.051 is the Surface area of the top of the shape we will call this p.

Therefore Surface area =, b x h + p x l = 30 x 3 =90 + (40.81 x 6)

=224.86 +90 = 314.86^2 inch = Lateral SA

p= b+h+c = 5 x 6 =30 + 3 + 7.81 = 40.81sq2

Step-by-step explanation:

6 x 5 =35 x 2 = 70

3 x 5 =15 x 2 = 30

6 x 3 = 18 x 2 = 36

Area only if base and top was the same = +136cm^2

This area is invalid. So it is really important to learn hypotenuse.

Volume is much easier and can guide you for reverse workings more for same sides. The shape above has not got the same sides. There is no surface area only lateral area at top.

V= 45^3inch = 45 cube inch

Just like a rectangle box but half its size as all opposite sides are the same. and the top and base can create a square by using the sides.

To do ths we half the end area.

6 x 3 x 5 = 18 x 5 = 90 sq3

half of this is 45 cube inch volume.

3 0

3 years ago

Three years ago, Ava lent her sister $400 to buy some clothes. Today Ava’s sister paid her loan in full with $454. What simple a

Ostrovityanka [42]

Ava's sister paid a 4.5% annual interest rate

Her sister paid $54 more than she borrowed, divide that by 3 (years till she paid)

54/3 = 18

That's $18 for every year she'd had the $400 loan out, divide it by 4 to get the percentage

18/4 = 4.5/100 = 4.5%

5 0

3 years ago

Read 2 more answers

Which value is a solution to the open sentence? 4x-5=31

g100num [7]

4x-5=31

Add 5 to both sides
4x=36

Divide both sides by 4
x=9

Final answer: 9

3 0

2 years ago

Read 2 more answers

Question 7 of 40

Irina-Kira [14]

Answer:

12

Step-by-step explanation:

5 0

1 year ago

Suppose a poll is taken that shows that 765 out of 1500 randomly selected, independent people believe the rich should pay more

Zanzabum

Answer:

$z=\frac{0.51 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1500}}}=0.775$

$p_v =P(z>0.775)=0.219$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ 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 interest is not significantly higher than 0.5

Step-by-step explanation:

Data given and notation

n=1500 represent the random sample taken

X=765 represent the successes

$\hat p=\frac{765}{1500}=0.51$ estimated proportion of successes

$p_o=0.5$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:

Null hypothesis: $p \leq 0.5$

Alternative hypothesis: $p > 0.5$

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 $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.51 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1500}}}=0.775$

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 $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(z>0.775)=0.219$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ 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 interest is not significantly higher than 0.5

8 0

3 years ago

Find the equation of the line. Use exact numbers. Y=___x+ ___ Please helo

Find the equation of the line. Use exact numbers. Y=_x+ _ Please helo