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Andru [333]
3 years ago
14

A rectangle has sides that are 1 cm and 2 cm long. If it is increased by a scale factor of 9, what will be the new area of the r

ectangle?
Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

162cm^2

Step-by-step explanation:

The original sides are 1 and 2 centimeters, Increasing both by a factor of 9 results in 9 and 18 centimeters. We multiple to find the area is 162 square centimeters,

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3 years ago
9. An express delivery service advertises next-day delivery of any parcel it receives before 3PM. The actual success rate is 90%
Juli2301 [7.4K]

Answer:

a) P(X =16 ) = 0.1853

b) P(X \leq 12) = 0.0684

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}

a)

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 ]

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4 0
3 years ago
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