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4 years ago

5

You are watching your favorite soccer player on TV. Statistics show that he has a 37% chance of scoring a goal each time he shoo

ts. He shoots twice. What is the probability that he scores a goal both times?

1 answer:

e-lub [12.9K]4 years ago

7 0

Likely and unlikely is the answer

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A divided by b is negative (true )or (false)

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Answer:

Step-by-step explanation:

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3 years ago

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a bird flies from the ground to the top of a tree, sits there and sings a song for a while, flies down to the top of a picnic ta

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3 years ago

Which is the graph of y= 2(x-3)^2 +2

WINSTONCH [101]

The graph of y = 2(x - 3)² + 2 can be seen in the attached picture. This problem can be solved through the concept of parabola and transformation.

<h3>Further explanation</h3>

<u>The Problem:</u>

Which is the graph of y = 2(x - 3)² + 2?

<u>Question-1:</u>

How to make a graph y = 2 (x - 3) ² + 2 through the concept of a parabola.

<u>The Process:</u>

The equation of a parabola is given by $\boxed{ \ y = a(x - h)^2 + k \ }$ .

Keep in mind the following points:

vertex point at (h, k)
axis of symmetry at x = h
a > 0 the parabola opens upward
a < 0 the parabola opens downward
the y-intercept is $\boxed{ \ y = ah^2 + k \ }$ at x = 0.

From our case it can be concluded as follows:

the graph of y = 2(x - 3)² + 2 opens upward
vertex point at (3, 2)
axis of symmetry at x = 3
the y-intercept is 2(3²) + 2 = 20 or in coordinates of (0, 20)

<u>Question-2:</u>

How to make the graph of y = 2(x - 3)² + 2 through the transformation.

<u>The Process:</u>

To plot the graph of y = 2(x - 3) ² + 2 we apply for the following transformation order:

Step-1: clearly, to obtain the graph of y = (x - 3)² we shift the graph of y = x² to the right 3 units.

Step-2: to obtain the graph of y = 2(x - 3)², we stretch the graph of y = (x - 3)² by a factor of 2 (in other words, multiply each y-coordinate by 2).

Step-3: finally, to obtain the graph of y = 2(x - 3)² + 2 we shift the graph of y = 2(x - 3)² upward 3 units.

Thus the construction of the graph y = 2 (x - 3) ² + 2 is completed.

The graph of y = 2(x - 3) ² + 2 is drawn by the combination of shifting the graph of y = x² to the right 3 units and upward 2 units, and also stretch by a factor of 2. Between vertical shift and stretch steps, it is the same whatever steps are taken first.

- - - - - - - - - -

Notes

The transformation of graphs is changing the shape and location of a graph.
There are four types of transformation geometry: translation (or shifting), reflection, rotation, and dilation (or stretching/shrinking).
In this case, the transformation is shifting horizontally and vertically and also stretching vertically.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:

$\boxed{ \ y = f(x) + v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ upward v units.
$\boxed{ \ y = f(x) - v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ downward v units.

That's the vertical shift, now the horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:

$\boxed{ \ y = f(x + h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the left h units.
$\boxed{ \ y = f(x - h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the right h units.

Hence, the combination of vertical and horizontal shifts is as follows:

$\boxed{ \ y = f(x \pm h) \pm v \ }$

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right .

Notice the following definitions for stretch and shrink.

In general, given the graph of $\boxed{y = f(x)}$ , we obtain the graph of $\boxed{y = cf(x)}$ by stretching $\boxed{ \ c > 1 \ }$ or shrinking $\boxed{ \ 0 < c < 1 \ }$ the graph of $\boxed{y = f(x)}$ vertically by a factor of c.
In general, given the graph of $\boxed{y = f(x)}$ , we obtain the graph of $\boxed{y = f(cx)}$ by stretching $\boxed{ \ 0 < c < 1 \ }$ or shrinking $\boxed{ \ c > 1 \ }$ the graph of $\boxed{y = f(x)}$ horizontally by a factor of c.

<h3>Learn more </h3>

What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? brainly.com/question/1332667
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Which statement correctly describes the graph brainly.com/question/10929552

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3 years ago

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The size of a snail is equally likely any length between 2.5 and 4.5 millimeters. if you randomly encounter a snail, how long wo

fredd [130]

You need to find the average length. You use the two numbers that gave you the range. (4.5-2.5)/2+2.5 = answer
<span>
so (4.5-2.5)=2 now 2/2=1 1+2.5=3.5mm
</span><span>

(Remember PEMDAS) order of operations is important!! </span>

8 0

3 years ago

2 cards are chosen from a deck of cards. The first card is replaced before choosing the second card. What is the probability tha

fgiga [73]

Answer:

The probability that the first card chosen is club and second card chosen is of heart is .

Step-by-step explanation:

Total number of cards in the deck is 52 (total number of cases).

Probability of an event E can be formulated as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For event A, number of cards of type club = 13 (favorable cases)

So,

$P(A) = \dfrac{13}{52} \\\Rightarrow P(A) = \dfrac{1}{4}$

For event B, number of cards of type heart = 13 (favorable cases)

So,

$P(B) = \dfrac{13}{52} \\\Rightarrow P(B) = \dfrac{1}{4}$

It is given that card is replaced before choosing the second card.

These events A and B are independent events, happening of one event does not effect the happening of other. And probability of both happening together can be found as following:

$P(A \cap B) = P(A) \times P(B)$

$\Rightarrow P(A \cap B) = \dfrac{1}{4} \times \dfrac{1}{4}\\\Rightarrow P(A \cap B) = \dfrac{1}{16}$

The probability that the first card chosen is club and second card chosen is of heart is $\frac{1}{16}$ .

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3 years ago