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3 years ago

-(x + 2) - 2x = -2( x + 1)

2 answers:

8 0

$-(x+2)-2x=-2(x+1)\\\\-x-2-2x=-2x-2\\\\-3x-2=-2x-2\ \ \ \ \ \ |add\ 2\ to\ both\ sides\\\\-3x=-2x\ \ \ \ \ \ \ \ |add\ 2x\ to\ both\ sides\\\\-x=0\\\\\boxed{x=0}$

Ann [662]3 years ago

4 0

$-(x + 2) - 2x = -2( x + 1) \\
-x-2-2x=-2x-2\\
-x=0\\
x=0$

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One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s

siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

$S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}$

on substituting the given respective values, we get

$S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}$

$S^{2}_{p}$ = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0

3 years ago

112,811 to the nearest hundred thousand

andrey2020 [161]

112,811 rounded to the nearest hundred thousand is 100,000

5 0

3 years ago

What is he value of F(-3)

PolarNik [594]

The correct answer is: " 10 " .

___________________________________________

→ " f(-3) = 10 " .

___________________________________________

Explanation:

___________________________________________

Given:

___________________________________________

f(x) = 7 − x ; if: x ≤ -3 ;

f(x) = x + 4 ; if: x > -3 ;

_________________________________________

Find: " f(-3) " :

_________________________________________

Note: " f(x) = f(-3) " ; → " x = - 3 " ;

Since " x = - =3 " ; → x is NOT greater than "-3" ;

→ So; " f(x) does NOT equal " x + 4" ;

_________________________________________

Consider our other option given:

We have "x = -3 " .

We our given: If " x ≤ -3 " ; {that is; if "x" is less than or equal to "-3" };

→ then: " f(x) = 7 − x " .

______________________________________________

Since: " x = - 3 " ;

→ then " x ≤ -3 " ; and:

→ f(x) = 7 − x ;

THEN:

→ f(-3) = 7 − (-3) ; → Note: Plug in "-3" for the value(s) of "x" in the equation;

and solve:

→ = 7 + 3 ;

= 10 .

___________________________________________________

→ f(-3) = 10 .

_____________________________________

The answer is: " 10 " .

_____________________________________

Hope this answer — and explanation — is helpful to you.

Best wishes in your academic pursuits!

_____________________________________

5 0

4 years ago

The figures below are similar.

Dafna1 [17]

Answer:

a) 2.5

b) 6.25

Step-by-step explanation:

For similar figures, the ratio of any corresponding linear dimensions is the same. The ratio of areas is the square of that.

<h3>Application</h3>

The ratio of linear dimensions, larger to smaller, is ...

(30 yd)/(12 yd) = 2.5

<h3>a) Perimeter</h3>

Perimeter is a linear dimension, the sum of side lengths. The ratio of perimeters is 2.5.

The ratio of areas, larger to smaller, is the square of the scale factor for side lengths:

(2.5)² = 6.25

The ratio of the areas of the larger to smaller figure is 6.25.

7 0

2 years ago

Find the area each sector. Do Not round. Part 1. NO LINKS!!<br><br>

sladkih [1.3K]

Answer:

$\textsf{Area of a sector (angle in degrees)}=\dfrac{\theta}{360 \textdegree}\pi r^2$

$\textsf{Area of a sector (angle in radians)}=\dfrac12r^2\theta$

17) Given:

$\theta$ = 240°
r = 16 ft

$\textsf{Area of a sector}=\dfrac{240}{360}\pi \cdot 16^2=\dfrac{512}{3}\pi \textsf{ ft}^2$

19) Given:

$\theta=\dfrac{3 \pi}{2}$
r = 14 cm

$\textsf{Area of a sector}=\dfrac12\cdot14^2 \cdot \dfrac{3\pi}{2}=147 \pi \textsf{ cm}^2$

21) Given:

$\theta=\dfrac{ \pi}{2}$
r = 10 mi

$\textsf{Area of a sector}=\dfrac12\cdot10^2 \cdot \dfrac{\pi}{2}=25 \pi \textsf{ mi}^2$

23) Given:

$\theta$ = 60°
r = 7 km

$\textsf{Area of a sector}=\dfrac{60}{360}\pi \cdot 7^2=\dfrac{49}{6}\pi \textsf{ km}^2$

3 0

2 years ago