Which inequality is represented by the graph?

HELP ME PLZ and this asks to show your work so plz do

skelet666 [1.2K]

The surface area of a three dimensional object is the sum of the areas of all its faces. Here we have a net of triangular prism, which if we were to fold would form a three dimensional shape.

We need to find the area of each face. Let's begin with the rectangle in the center which can be found by calculating its length times width:

26 * 10 = 260 in^2

Next, let's find the area of the other two rectangles. Although it does not specify that these rectangles are congruent (meaning the same), we know that they are because if they were different sizes, the prism would not fit together when folded. We can find the area of one rectangle and multiply by two:

26 * 13 = 338

338 * 2 = 676 in^2

Lastly, we have two triangles which are congruent for the same reason as the rectangles. The area of a triangle can be found by calculating one-half the base time the height:

0.5 * 10 * 12 = 60

Times two since there are two triangles:

60 * 2 = 120 in^2

Add up the areas:

260 + 676 + 120 = 1056 in^2

Multiply the surface area by 6 because there are 6 packages:

1056 * 6 = 6336 in^2

The answer is C.

8 0

3 years ago

What is the value of x4 + 0.5y3 when x = 3 and y = 4?<br> +

ehidna [41]

Answer:

18

Step-by-step explanation:

just replace the x and y with the given values like so (3)4+0.5(4)3=x and solve for the new x value

4 0

2 years ago

What are the odds in russian roulette?

algol13

Answer:

about 66.5%

Step-by-step explanation:

There are two rounds, and six locations. There is a one in three chance that you will die. This probability does not change with any number of spins. There is a 66.7% chance (4/6) that you will live.

3 0

3 years ago

Five hundred eleven (511) homes in a certain southern California community are randomly surveyed to determine if they meet minim

allsm [11]

Answer:

The confidence interval at the 90% confidence level for the true population proportion of southern California community homes meeting at least the minimum recommendations for earthquake preparedness is (0.3136, 0.3830).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

511 homes were surveyed, of which 178 met the minimum recommendations for earthquake preparedness. This means that $n = 511$ and $p = \frac{178}{511} = 0.3483$ .

Find the confidence interval at the 90% confidence level for the true population proportion of southern California community homes meeting at least the minimum recommendations for earthquake preparedness.

So $\alpha = 0.10$ , z is the value of Z that has a pvalue of $1 - \frac{0.10}{2} = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3483 - 1.645\sqrt{\frac{0.3483*0.6517}{511}} = 0.3136$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3483 + 1.645\sqrt{\frac{0.3483*0.6517}{511}} = 0.3830$

The confidence interval at the 90% confidence level for the true population proportion of southern California community homes meeting at least the minimum recommendations for earthquake preparedness is (0.3136, 0.3830).

6 0

3 years ago

Write an equation for the line graphed below: y=??

Zepler [3.9K]

Answer: y=-2x-1

Step-by-step explanation:

First let's find the slope by using the formula $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$\frac{-3--1}{1-0} \\\frac{-2}{1} \\-2$

The equation for slope intercept form is y=mx+b where m is the slope and b is the y-intercept

The y-intercept is -1 giving us the equation

y=-2x-1

4 0

3 years ago

Which inequality is represented by the graph? ​

Which inequality is represented by the graph?