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ElenaW [278]
2 years ago
12

How do you solve this question

Mathematics
1 answer:
Wewaii [24]2 years ago
3 0

<h2>Solution:.</h2>

Let the ceilings be <em>a</em><em> </em><em>&</em><em> </em><em>b</em>

and the distance from one corner of the ceiling to the opposite be <em>c</em>

<em>then </em><em>using</em><em> </em><em>Pythagoras</em><em> theorem</em>

c =  \sqrt{a {}^{2} +  b  {}^{2} } \\  c =    \sqrt{16 {}^{2} +  12  {}^{2} } \\ c =  \sqrt{256 + 144 }  \\ c =  \sqrt{400}  \\ c = 20

hence ,c .°. the distance from one corner of the ceiling to the opposite is<em> </em><em>2</em><em>0</em>

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  150 Wh

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We know the energy per bulb is 10 Wh per hour, so the total energy used by 3 bulbs in 5 hours is ...

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What is the Lateral area of this prism ?
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Step-by-step explanation:

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Ok so is 20 g(rams) greater than 0.02 kg (killagram)
rosijanka [135]

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They are the same

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The half-life of lead is 22 years. How long will it take for a sample of this substance t decay to 80% of its original amount?
Svetlanka [38]

Answer: 7 years

Step-by-step explanation:

t_{\frac{1}{2} } = In2 / ∧

since the half life is given , we have :

22 = In 2/ ∧

∧ = In2/22

∧ = 0.032

Recall the formula for half life:

\frac{N(t)}{N(0)} = e^{-∧t}

Therefore:

0.80 = e^{-0.032t}

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4 0
4 years ago
CCA has stated in 2017 that 36.5 % of its students are first generation college students.Suppose you sample 15 CCA students and
nignag [31]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - p) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36.5% = 36.5/100 = 0.365

q = 1 - p = 1 - 0.365

q = 0.635

n = 15

a) P(x = 0) = 15C0 × 0.365^0 × 0.635^(15 - 0) = 0.0011

P(x = 1) = 15C1 × 0.365^1 × 0.635^(15 - 1) = 0.0095

P(x = 2) = 15C2 × 0.365^2 × 0.635^(15 - 2) = 0.038

P(x = 3) = 15C3 × 0.365^3 × 0.635^(15 - 3) = 0.095

P(x = 4) = 15C4 × 0.365^4 × 0.635^(15 - 4) = 0.16

P(x = 5) = 15C5 × 0.365^5 × 0.635^(15 - 5) = 0.21

k P(X = k)

0 0.0011

1 0.0095

2 0.038

3 0.095

4 0.16

5 0.21

b) mean = np = 15 × 0.365 = 5.475

c) standard deviation = √npq

= √15 × 0.365 × 0.635

= 1.86

d) z = (x - mean)/standard deviation

x = 2

z = (2 - 5.475)/1.86 = - 1.87

6 0
3 years ago
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