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Sauron [17]
2 years ago
11

Calculate m∠ABC and m∠CBD, what is the value of x?

Mathematics
2 answers:
VladimirAG [237]2 years ago
7 0

Answer:

90°-x°=180°[by linear pair]

x=180°-90°

x=90°

angle cbd=45°

45°- (x+5)°=90°

x+5=90-45

x+5=45

x=45-5

x=40

angle abc

x+5

40+5

45°

Otrada [13]2 years ago
3 0

Answer:

x = 40 degrees

Step-by-step explanation:

explained in picture

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Answer:

The probability is 0.2356.

Step-by-step explanation:

Let X is the event of using the smartphone in meetings or classes,

Given,

The probability of using the smartphone in meetings or classes, p = 51 % = 0.51,

So, the probability of not using smartphone in meetings or classes, q = 1 - p = 1 - 0.51 = 0.49,

Thus, the probability that fewer than 5 of them use their smartphones in meetings or classes.

P(X<5) = P(X=0) + P(X=1) + P(X=2) + P(X=3)+P(X=4)

Since, binomial distribution formula is,

P(x) = ^nC_r p^x q^{n-x}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

Here, n = 11,

Hence,  the probability that fewer than 5 of them use their smartphones in meetings or classes

=^{11}C_0 (0.5)^0 0.49^{11}+^{11}C_1 (0.5)^1 0.49^{10}+^{11}C_2 (0.5)^2 0.49^{9}+^{11}C_3 (0.5)^3 0.49^{8}+^{11}C_4 (0.5)^4 0.49^{7}

=(0.5)^0 0.49^{11}+11(0.5)0.49^{10} + 55(0.5)^2 0.49^{9}+165 (0.5)^3 0.49^{8} +330(0.5)^4 0.49^{7}

=0.235596671797

\approx 0.2356

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Step-by-step explanation:

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