All categories

4 years ago

S

Mathematics

1 answer:

Rudiy274 years ago

6 0

Answer:

Step-by-step explanation:

Put the coordinates of the points to the inequality and check:

y < -1/2x + 2

for (2, 3) → x = 2, y = 3

3 < -1/2(2) + 2

3 < -1 + 2

3 < 1 FALSE

============================

for (2, 1) → x = 2, y = 1

1 < -1/2(2) + 2

1 < -1 + 2

1 < 1 FALSE

============================

for (3, -2) → x = 3, y = -2

-2 < -1/2(3) + 2

-2 < -1.5 + 2

-2 < 0.5 TRUE

============================

for (-1, 3) → x = -1, y = 3

3 < -1/2(-1) + 2

3 < 1/2 + 2

3 < 2 1/2 FALSE

You might be interested in

A theater group surveyed 146 audience members after a show and found that 132 of them wanted to see the show again. Find the sta

Sophie [7]

Answer:

0.024

Step-by-step explanation:

Sample size (n) = 146 people

The proportion (p) of people who answered that they would be interested in seeing the show again is:

$p=\frac{132}{146}\\ p=0.9041$

The standard error for a sample of size 'n' and proportion 'p' is:

$SE = \sqrt{\frac{p*(1-p)}{n}}\\SE = \sqrt{\frac{0.9041*(1-0.9041)}{146}}\\ SE=0.024$

The standard error for the sample proportion of audience members who want to see the show again is 0.024.

4 0

3 years ago

Please help i need it

vichka [17]

Answer:

x = 100

Step-by-step explanation:

The area of the left square is 3600

A =s^2

3600 = s^2

Taking the square root of each side

60 =s

The area of the right square is 1600

A =s^2

1600 = s^2

Taking the square root of each side

40 =s

Adding the lengths

60+40 =x

100 =x

3 0

3 years ago

Need help answering this question!!!!

Y_Kistochka [10]

For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees

6 0

3 years ago

Use 3.14 for the radius to estimate the area of a circle the diameter is given round your answer to the nearest hundredth if nec

Dafna11 [192]

R = 24.4 / 2 = 12.2

A = 3.14 (12.2)^2
A = 3.14 (148.84)
A = 467. 36

hope it helps

7 0

3 years ago

Lemons tastes sour to some people. This sourness is inherited through the TAS2R38 gene. About 65% of the population has this gen

Minchanka [31]

Answer:

We are given:

$\hat{p}=0.65$