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3 years ago

Plz need help for a grade god explanation and answer get brainliest

Mathematics

1 answer:

Ivanshal [37]3 years ago

3 0

Answer:

20%

Step-by-step explanation:

There is a 20% chance you get selected for researching China because 5 out of 25 spaces are ones for researching China.

$\frac{5}{25} =\frac{20}{100}$

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The bottom of a cylindrical container has an area of 10 cm². The container is filled to a height whose mean is 5 cm, and whose s

disa [49]

Answer:

μv = $50 cm^{3}$

σv= $3 cm^{3}$

Step-by-step explanation:

Volume is found by multiplying the area and height. Since we're given both area and height of 10 and 5 cm respectively then

μv =A.h= 10*5= 50 cm^{3}

The standard deviation of the volume will be

σv= 0.3*10= $3 cm^{3}$

5 0

4 years ago

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

For the first parenthesis:

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

For the second parenthesis:

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

3 years ago

A candy company that makes colored candies claims that 10% of the candies it produces are green and that bags are packed random

melamori03 [73]

No. The sample size is too small to be reliable. If there were many bags of 500 candies that consistently showed a larger-than-marketed amount of green candy, that will be better proof.

6 0

3 years ago

How do i answer this question <img src="https://tex.z-dn.net/?f=7%20-%203x%20%3D%202x%20%2B%207%20-%205x" id="TexFormula1" ti

maks197457 [2]

Combine like terms on the right side of the equal sign:

7 - 3x = - 3x + 7

You can rearrange the right side to be:

7 - 3x = 7 - 3x

Because are the same thing, your answer ends up being all real numbers or infinitely many solutions. This means whatever number you plug in for the x-variable, the two sides will always be equal to each other.

8 0

4 years ago

Solve the equation for y. 4.2x-1.4y=2.1

beks73 [17]

Add the opposite of the term not containing y, then divide by the coefficient of y.

... -1.4y = 2.1 -4.2x

... y = -3/2 +3x

4 0

3 years ago