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2 years ago

A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.

Mathematics

1 answer:

creativ13 [48]2 years ago

3 0

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

= 4d² -πd², but π = 22/7

= 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

= (6/28 d²) × 100%

= 21.42 %

Therefore; the answer is about 20%

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Write N as a discrete exponential function of t of the form N(t)=A(1+r)t. (HINT: You will need to find (1+r), where r is the rat

Whitepunk [10]

Answer:

$N(t)=84(1+0.0405)^t$ .

Step-by-step explanation:

We have been given that $N(11)=130$ and $N(0)=84$ . We are asked to write N as a discrete exponential function of t of the form $N(t)=A(1+r)^t$ .

Using our given information, we can set an equation as:

$N(0)=A(1+r)^0$

$84=A*1$

$84=A$

Using our given information, we will get:

$N(11)=A(1+r)^{11}$

Substitute the given values:

$130=84(1+r)^{11}$

$\frac{130}{84}=\frac{84(1+r)^{11}}{84}$

$1.5476190476190476=(1+r)^{11}$

Switch sides:

$(1+r)^{11}=1.5476190476190476$

Take 11th root of both sides:

$\sqrt[11]{(1+r)^{11}}=\sqrt[11]{1.5476190476190476}$

$1+r=1.04050024747304$

$r=1.04050024747304-1$

$r=0.04050024747304$

$r\approx 0.0405$

Therefore, our required function would be $N(t)=84(1+0.0405)^t$ .

5 0

2 years ago

Find the total surface area of this triangular prism. 30 cm 18 cm 7 cm 24 cm

Effectus [21]

Answer:

588 cm²

Step-by-step explanation:

24 × 7 + 30 × 7 + 2(24 × 18) + 18 × 7 = 7(24 + 30 + 18) + 2 × 42 = 7 × 72 + 84 = 504 + 84 = 588 cm²

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2 years ago

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storchak [24]

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Answer:

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Step-by-step explanation:

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2 years ago

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murzikaleks [220]

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