2 x (7-4)^2 - (8 x 2 + 2)/2 = <br><br> (the x indicates multiply)

What is the distance between points (3.3) and Wc-2, -3)<br> Round to the nearest tenth if necessary.

Ivahew [28]

Answer:

7.81 u

Step-by-step explanation:

<u>Given :- </u>

Two points (3,3) and (-2,-3) is given to us.

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

$:\implies$ D = √{(x2-x1)² + (y2-y1)²}

$:\implies$ D =√[ (3+2)² +(-3-3)²]

$:\implies$ D =√[ 5² +6²]

$:\implies$ D =√[ 25 +36]

$:\implies$ D = 61

$:\implies$ D = 7.81

<h3>Hence the distance between the two points is 7.81 units .</h3>

8 0

3 years ago

Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 t

Yanka [14]

Answer:

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

Step-by-step explanation:

Data given and notation

n represent the random sample taken

X represent the number of scissors selected for each friend

$\hat p=\frac{X}{n}$ estimated proportion of scissors selected for each friend

$p_o=\frac{1}{3}=0.333$ 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)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion that the friend will pick scissors is less than 1/3 or 0.333, the system of hypothesis would be:

Null hypothesis: $p\geq 0.333$

Alternative hypothesis: $p < 0.333$

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:

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

6 0

4 years ago

Find the surface area of ALL FIVE shapes.

Shkiper50 [21]

<h2><u><em>Answer:</em></u></h2><h2><u><em>420000fd</em></u></h2><h2><u><em>Step-by-step explanation:</em></u></h2>

6 0

3 years ago

Given A(0, 0) and B(60, 60), what are the coordinates of point M that lies on segment AB such that AM:MB = 2: 3?

elena-14-01-66 [18.8K]

The answer is (24, 24).
Solution:
To find the point M that divides segment AB into 2:3 or 2/3 ratio, we determine k by writing the numerator of the ratio over the sum of the terms in the given ratio. Then, we calculate for the coordinates of point M from the slope of the line segment and the coordinates of A = (x1, y1) = (0, 0) and B = (x2, y2) = (60, 60) using the equation
(x, y) = (x1 + k(x2 - x1), y1 + k(y2 - y1) )
Therefore,
M = (x, y) = (0 + (2/5)(60 - 0), 0 + (2/5)(60 - 0)) = (24, 24)

8 0

3 years ago

Determine the net change between the given values of the variable.<br> f(x) = 7x − 9; x = 2, x = 3

labwork [276]

Answer:

the net change is 7

if u substitute x with

2 u get 5

3u get 12

4 u get 19

8 0

2 years ago

2 x (7-4)^2 - (8 x 2 + 2)/2 = (the x indicates multiply)