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3 years ago

Help! Anyone can you explain?

Mathematics

2 answers:

rosijanka [135]3 years ago

8 0

Answer:

$\texttt{Probability that the first ball will be red and the second will be blue = }\frac{9}{55}$

Step-by-step explanation:

Total number of balls = 3 + 2 + 6 = 11

Probability is the ratio of number of favorable outcome to total number of outcomes.

$\texttt{Probability that the first ball will be red = }\frac{\texttt{Total number of red balls}}{\texttt{Total number of balls}}\\\\\texttt{Probability that the first ball will be red = }\frac{3}{11}$

Now we have 10 balls in which 6 are blue.

$\texttt{Probability that the second ball will be blue = }\frac{\texttt{Total number of blue balls}}{\texttt{Total number of balls}}\\\\\texttt{Probability that the first ball will be red = }\frac{6}{10}=\frac{3}{5}$

$\texttt{Probability that the first ball will be red and the second will be blue = }\frac{3}{11}\times \frac{3}{5}\\\\\texttt{Probability that the first ball will be red and the second will be blue = }\frac{9}{55}$

erik [133]3 years ago

6 0

Answer: 9/55

P(1st = red and 2nd = blue)

= (3/11) x (6/10)

= 18/110

= 9/55

To find the probability of something happening,

= (number of desired outcomes) / (total number of outcomes)

If you are finding the probability of more than one thing happening at the same time, you multiply the probability of both things happening together

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cestrela7 [59]

Y = -0.4x

1) It is a straight line
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4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °

With all that information you can identify the graph, given that you didn't include the options.

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3 years ago

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3 years ago

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Plzz Help ASAP!! i posted the picture?

Andre45 [30]

Hi!

So the original formula for a problem likes this or a quadratic is:

ax^2 + bx+ c

so a is the accelaration; b is the initial velocity; and c is the initial height

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so d is out too because the maximum height is the vertex which mean that there would probably be a y value. in some cases the vertex is the zero, but not here

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What is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2

raketka [301]

The area of the considered composite figure is given by: Option: 6π + 16 cm²

<h3>How to calculate the surface area of a composite figure?</h3>

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

$\text{Area of composite figure} = \sum (\text{Area of composing figures})$

That ∑ sign shows "sum"

For this case, the missing image is attached below.

As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.

The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²

All those 3 semicircles has radius = 2 cm

Since radius is same, so area of those 3 semicircle is same = $\dfrac{\pi r^2}{2} = \dfrac{\pi (2)^2}{2} = 2 \pi\: \rm cm^2$

Thus, we get:

Area of the composite figure = $2 \pi +2 \pi +2 \pi + 16 \: \rm cm^2 = 6 \pi+ 16 \: \rm cm^2$

Learn more about area of a composite figure here:

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