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3 years ago

An ordinary coin is thrown 50 times.

2 answers:

8 0

He has a 50% chance of getting either one any time he throws the coin. Although unlikely, he could potentially throw the coin and get heads 100 times. Or he could get tails 100 times. Or any amount in between!

OLEGan [10]3 years ago

7 0

Answer:

idunno, flip a coin 50 times and see what you get.

Step-by-step explanation:

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Write in the product of 2 factors ab-ac

kicyunya [14]

Ab + ac

you get:
a(b + c)

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3 years ago

Can someone help me with this question please

Lunna [17]

Answer:

x <-8

Step-by-step explanation:

3-(2x-5) < -4(x+2)

Distribute

3 -2x+5 < -4x-8

Combine like terms

8 -2x < -4x-8

Add 4x to each side

8 -2x+4x< -4x-8+4x

8+2x < -8

Subtract 8 from each side

8-8+2x< -8-8

2x<-16

Divide by 2

2x/2 < -16/2

x <-8

4 0

3 years ago

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The area of a garden is (x^2-x-6) square yards. Find the dimensions of the garden is x=5

kicyunya [14]

I hope this helps you

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3 years ago

Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

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2 years ago

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An action movie production team needs glass spheres to hold a green liquid that looks like an explosive l. if all of the availab

Gnesinka [82]

We need 30 glass spheres whose TOTAL volume = 3,392.92 cubic inches.
Therefore each of the 30 spheres must have a volume of 3,392.92 / 30 =
 113.0973333333 cubic inches
Sphere Volume = 4/3 • π • r³
radius^3 = Sphere Volume / (4/3 • π)
radius^3 = 113.0973333333 / 4.1887902048 
radius^3 = 26.9999994758 
radius = 3 inches
diameter = 6 inches

6 0

3 years ago

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