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miskamm [114]
3 years ago
5

If we buy 20 pickles what is the experimental probability of winning 5 or more tickets

Mathematics
1 answer:
Mrac [35]3 years ago
8 0

Answer:

Pr = 0.66

Step-by-step explanation:

Given

See attachment for complete question

Required

P(x \ge 5)

From the attachment, we have:

S = 2 + 8 + 4+20+21+19+17+5+2+2

S =100 ---- the sample size

Next, we list out all outcomes more than or equal to 5.

i.e.

x \ge 5

5 is represented with the vertical blue rectangle (with frequency 21).

So, the other elements are to the right of frequency 21.

So, we have:

x \ge 5 = 21+19+17+5+2+2

x \ge 5 = 66

The probability is then calculated as:

Pr = \frac{x \ge 5}{S}

This gives

Pr = \frac{66}{100}

Pr = 0.66

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The equation of a circle is (x + 6)^2 + (y - 4)^2 = 16. The point (-6, 8) is on the circle.
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y = 8 is the equation of tangent.

Step-by-step explanation:

The equation of the tangent to the circle at (-6,8) is of the form:

y = mx + c

where m is the slope of the tangent and c is the y-intercept.

The point (-6,8) lies on the circle and the tangent line as well.

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We know that slope of two perpendicular lines are related as:

m_{1}\times m_{2}=-1

At any point on the circle, the normal line at a point is always perpendicular to the tangent line at that point.

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m_{normal} \times m_{tangent}=-1

We can find the slope of the normal at point (-6,8) as it passes through the centre of the circle (-6,4) by using the two-points formula for slope.

m=\frac{y_2-y_1}{x_2-x_1}

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