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3 years ago

PLEASE HELP ME OKT I DONT UNDERSTAND

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

Answer:

See below.

Step-by-step explanation:

5a)

In an isosceles triangle, the angles opposite the congruent sides are congruent.

m<A = 40 deg

m<B = 40 deg

m<A + m<B + m<C = 180

40 + 40 + m<C = 180

m<C = 100 deg

5b)

In a right triangle, one angle is a right angle.

m<A = 40 deg

m<B = 90 deg

m<A + m<B + m<C = 180

40 + 90 + m<C = 180

m<C = 50 deg

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Juli2301 [7.4K]

Answer:

a) P(X =16 ) = 0.1853

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Step-by-step explanation:

GIVEN DATA:

n = 16

p = 0.90

from relation given probabllity can be solve

$P(X) = ^nC_x * p^x * ( 1 - p)^{n-x}$

$P(X =16 ) = ^{16}C_{16} * 0.90^x * ( 1 - 0.90)^{16-16}$

P(X =16 ) = 0.1853

b) $P(X \leq 12) = 1 - P(X \geq 13)$

= 1 - [ P(X = 13) +P(X = 14) +P(X = 15) +P(X = 16) ]

$= 1 - [ ^{16}C_{13} * 0.90^{13} * (1 - 0.90)^3 +^{16}C_{14} * 0.90^{14} * (1 - 0.90)^2 +^{16}C_{15} * 0.90^{15} * (1 - 0.90)^1 +^{16}C_{16} * 0.90^{16} * (1 - 0.90)^0 ]$

= 0.0684

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Kruka [31]

First, recall that

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So if $\sin(-\theta)=\dfrac15$ , then $\sin\theta=-\dfrac15$ .

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