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2 years ago

If E be an event, then P(E) + P(not E) = _____________.

Mathematics

1 answer:

Yuki888 [10]2 years ago

3 0

Answer:

Step-by-step explanation:

If P(E) = p

Then P(not E) = 1-p

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1. write it on a piece of paper

stiv31 [10]

$\\ \sf\longmapsto 1\dfrac{1}{2}+2\dfrac{3}{4}$

$\\ \sf\longmapsto \dfrac{3}{2}+\dfrac{11}{4}$

$\\ \sf\longmapsto \dfrac{6+11}{4}$

$\\ \sf\longmapsto \dfrac{17}{4}$

2:-

$\\ \sf\longmapsto 4\dfrac{3}{7}+6\dfrac{1}{5}$

$\\ \sf\longmapsto \dfrac{31}{7}+\dfrac{31}{5}$

$\\ \sf\longmapsto \dfrac{155+225}{35}$

$\\ \sf\longmapsto \dfrac{380}{35}$

$\\ \sf\longmapsto 12$

3:-

$\\ \sf\longmapsto 4\dfrac{2}{5}+5\dfrac{2}{6}$

$\\ \sf\longmapsto \dfrac{22}{5}+\dfrac{32}{6}$

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$\\ \sf\longmapsto \dfrac{292}{30}$

4:-

$\\ \sf\longmapsto 3\dfrac{7}{7}+3\dfrac{1}{3}$

$\\ \sf\longmapsto \dfrac{28}{7}+\dfrac{10}{3}$

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7 0

2 years ago

Read 2 more answers

The fence around a circular garden is 18 feet long. What is the area of the garden to the nearest square foot? Use 3.14 for pi.

Sidana [21]

Answer:

A = 26 ft²

Step-by-step explanation:

To find the area of a circle, use the formula A = πr²

We know π = 3.14 and C = 18.

Use the circumference to find "r". C = 2πr

C = 2πr

18 = 2(3.14)r

18 = 6.28r

r = 18/6.28 Exact answer

r ≈ 2.866 Rounded to three decimal places

You can use either of the two bolded "r" values. I will use the rounded answer in the formula for area.

Substitute π = 3.14 and r = 2.866.

A = πr²

A = (3.14)(2.866)² Solve exponents first

A = 3.14(8.213956) Multiply

A = 25.7918218... Unrounded answer

A ≈ 26 Rounded to nearest square foot

Add the units back in.

7 0

3 years ago

Please help! 30 points!

Rashid [163]

Answer: $64.2^{\circ}$

Step-by-step explanation:

According to the cosine rule

$\cos C=\dfrac{a^2+b^2-c^2}{2ab}$

Here, $a=83, b=111, c=165,\ C=180^{\circ}-\theta$

Putting values

$\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}$