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3 years ago

Please no links and i need this to be right please

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

Answer:

Part A: 6x + 20

Part B: Expression G and H are not equivalent for any value of x.

Step-by-step explanation:

Part A:

G = 2(3x + 10)

G = 6x + 20

Part B:

6x + 20 = 6x + 12

-20 -20

6x = 6x - 8

-6x -6x

0 = -8

No solution. This means that expressions G and H are not equivalent for any value of x.

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Help me to solve this question plez!!

dimaraw [331]

Let First Sphere be the Original Sphere

its Radius be : r

We know that Surface Area of the Sphere is : 4π × (radius)²

⇒ Surface Area of the Original Sphere = 4πr²

Given : The Radius of Original Sphere is Doubled

Let the Sphere whose Radius is Doubled be New Sphere

⇒ Surface of the New Sphere = 4π × (2r)² = 4π × 4 × r²

But we know that : 4πr² is the Surface Area of Original Sphere

⇒ Surface of the New Sphere = 4 × Original Sphere

⇒ If the Radius the Sphere is Doubled, the Surface Area would be enlarged by factor : 4

6 0

4 years ago

** I NEED TO GET THIS RIGHT IM DOING TEST CORRECTION**

valina [46]

Answer: ~27.5

Step-by-step explanation:

I don't know about all the geometry terms, but since a line is 180°, and SE makes 1 right angle (90°), the other side is also 90° (180-90=90).

This means you have a right triangle with sides 15 and 23 and unknown hypotenuse AS.

Pythagorean Theorem: a^2 + b^2 = c^2

(15^2) + (23^2) = AS^2

sqrt( 225 + 529 ) = AS

AS = 27.459

8 0

3 years ago

A square piece of paper has an area of x2 square units. A

Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip = length * width = 2*x = 2x

Area of square piece of paper when rectangular strip is taken away from it

= Area of square - area of rectangular strip

= $x^2 -2x$

It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.

Thus,

$x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\$

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

5 0

4 years ago

A counselor records the number of disagreements (per session) among couples during group counseling sessions. If the number of d

Shalnov [3]

Answer:

$P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)$

And we can find this probability with the complement rule:

$P(z>-1)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.4,0.4)$