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Llana [10]
3 years ago
11

Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probabil

ity of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent.
a. True
b. False
Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer:

b. False

Step-by-step explanation:

P(X & Y) = 0.77 + 0.65 - 0.9 = 0.52

P(X) × P(Y) = 0.65×0.77 = 0.5004

Since P(X&Y) and P(X)×P(Y) are not equal, they are not independent

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A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
Korolek [52]

Answer:

width=3

then length=5×3

now,

Area=l×b

= 15×3

=45

8 0
3 years ago
Read 2 more answers
Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~​
Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

\sf\longrightarrow sin^2\theta + cos^2\theta = 1

Imagine a right angled triangle with one of its acute angle as \theta .

  • The side opposite to this angle will be perpendicular .
  • Also we know that ,

\sf\longrightarrow sin\theta =\dfrac{p}{h} \\

\sf\longrightarrow cos\theta =\dfrac{b}{h}

And by Pythagoras theorem ,

\sf\longrightarrow h^2 = p^2+b^2 \dots (i)

Where the symbols have their usual meaning.

Now , taking LHS ,

\sf\longrightarrow sin^2\theta +cos^2\theta

  • Substituting the respective values,

\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\

\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\

\sf\longrightarrow \dfrac{p^2+b^2}{h^2}

  • From equation (i) ,

\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\

\sf\longrightarrow \bf 1 = RHS

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0
2 years ago
Find the HCF of 126 and 420
melamori03 [73]

Answer:

42

Step-by-step explanation:

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

Find the prime factorization of 420

420 = 2 × 2 × 3 × 5 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 7

GCF = 42

3 0
3 years ago
Simplify 2[(9 - 5)^5 / 8]
Alenkinab [10]
2[(9 - 5)^5/8] = 2[4^5/8] = 2[1024/8] = 2[128] = 256
5 0
3 years ago
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac
SIZIF [17.4K]
All you do is 1x+2x+5x=8x then you turn 4 s into pints. 1 gallon equals 4 pints 4*4=16 pints. 8x=16 x=2. Then you multiply everything by 2

1*2=2 
2*2=4
2*5=10

2pints of soda water
4 pints of fruit punch
10 pints of ginger ale
3 0
3 years ago
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