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4 years ago

How many watts is a kilowatt

Mathematics

2 answers:

cluponka [151]4 years ago

5 0

Hoi!

1 watt = .001 kilowatt

Example:

7,000 watts = 7 kilowatts

lbvjy [14]4 years ago

3 0

1000, kilo = thousand

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If 5/12=1/a+1/b and ab=24, what is the value of a+b

vlada-n [284]

Answer:

Step-by-step explanation:

$\frac{5}{12} = \frac{1}{a} + \frac{1}{b} \\ \\ \frac{5}{12} = \frac{b + a}{ab}..(by \: taking \: lcm) \\ \\ \frac{5}{12} = \frac{a + b}{ab} \\ \\ \frac{5}{12} = \frac{a + b}{24} ...( \because \: ab = 24) \\ \\ a + b = \frac{5 \times 24}{12} \\ \\ a + b = 5 \times 2 \\ \\ \huge \red{ \boxed{ a + b = 10}}$

3 0

3 years ago

What property is 150 + 214 + 89 equals 214 plus 89 plus 150

koban [17]

The property is the Commutative Property

7 0

3 years ago

Many identical bags of candy each contain 20 yellow, 15 red, 5 blue and 10 green candies. 15 children are each given their own c

lana66690 [7]

Answer:

0.9999

Step-by-step explanation:

Each bag has a total of 20 + 15 + 5 + 10 = 50 candies.

Each of the 15 kids get their own back and randomly pick 12 candies (without replacement)

First we are going to calculate the probability that they don't get any green candy.

P (not getting a green candy) = C₄₀,₁₂ /C₅₀,₁₂ .

Therefore, the probability of getting at least one candy is 1 - P(not getting a green candy)

P (getting at least one candy) = 1 - (C₄₀,₁₂/C₅₀,₁₂) = 1 - 0.0460 = 0.954

So the probability that one kid gets at least one green candy is 0.954

But now we need to find the probability that at least two of the 15 kids will each have at least one green candy.

To do this, we can use a binomial distribution where success will be getting at least one green candy with p = 0.954

Fail will be not getting a green candy with p = 1 -0.954 = 0.046.

k = 15

We need at least two kids to have success, so we can do P(at least 2 kids have success) = 1 - (P( X=0) + P (X=1))

P (X=0) = $\left[\begin{array}{ccc}0\\15\end{array}\right] (0.954)^{0}(0.046)^{15}$ = 8.737103395697172336050176 × 10⁻²¹

P(X=1) = $\left[\begin{array}{ccc}1\\15\end{array}\right] (0.954)^{1}(0.046)^{14}$ = 2.71799890418318556801908736 × 10⁻¹⁸

Therefore:

P(at least 2 kids have success) = 1 - (P( X=0) + P (X=1))

= 1 - (8.737103395697172336050176 × 10⁻²¹ + 2.71799890418318556801908736 × 10⁻¹⁸) = 0.9999

4 0

3 years ago

What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

3 0

3 years ago

At the beach 29% of people have red towels and 18% have white towels if the rest have blue ,what percentage of the people at the

Vikki [24]

The percent of people with blue towels would be the remaining percent when you add the red and wight towels together.
a.k.a
53% would have blue towels.

6 0

3 years ago