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3 years ago

Reduce 720/1080 little cunfused

2 answers:

8 0

To reduce a fraction, divide the numerator and the denominator equally until they reach the simplest whole number possible.

In this case, the numerator (720) and the denominator (1080) can both be divided by 360 to get 2/3, our reduced fraction.

Irina18 [472]3 years ago

7 0

$\frac{720}{1080}$

$\frac{360}{540}$

$\frac{180}{270}$

$\frac{90}{135}$

$\frac{30}{45}$

$\frac{10}{15}$

$\frac{2}{3}$

answer

$\frac{2}{3}$

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In an assembly-line production of industrial robots, gearbox assemblies can be installed in one minute each if holes have been p

Illusion [34]

Answer:

The right answer is:

(a) 0.1456

(b) 18.125, 69.1202, 8.3139

Step-by-step explanation:

Given:

N = 24

n = 5

r = 7

The improperly drilled gearboxes "X".

then,

⇒ $P(X) = \frac{\binom{7}{x} \binom {17}{5-x}}{\binom{24}{5}}$

(a)

P (all gearboxes fit properly) = $P(x=0)$

= $\frac{\binom{7}{0} \binom{17}{5}}{\binom{24}{5}}$

= $0.1456$

(b)

According to the question,

$X = 91+5$

Mean will be:

⇒ $\mu = E(x)$

$=E(91+5)$

$=9E(1)+5$

$=9.\frac{nr}{N}+5$

$=9.\frac{5.7}{24} +5$

$=18.125$

Variance will be:

⇒ $\sigma^2=Var(X)$

$=V(9Y+5)$

$=81.V(Y)$

$=81.n.\frac{r}{N}.\frac{N-r}{N}.\frac{N-n}{N-1}$

$=81.5.\frac{7}{24}.\frac{24-7}{24}.\frac{24-5}{24-1}$

$=69.1202$

Standard deviation will be:

⇒ $\sigma = \sqrt{69.1202}$

$=8.3139$

8 0

3 years ago

On the west coast of Canada, crows eat whelks (a shellfish). To open the whelks, the crows drop them from the air onto a rock. I

RideAnS [48]

Answer:

a) d= 2x + (54/x)

b) x = √27 m ≈ 5.2 m

Step-by-step explanation:

a) Given

The average number of drops = n

Height in meters from the point where the whelk is dropped = x

If n(x) = 1 + (27/x²)

Then, the total vertical distance the crow travels upward to open a whelk is the height (x) times the average number of times the crow has to fly upwards to try again

d = 2xn = 2x*(1 + (27/x²)) = 2x + (54/x)

b) To minimize the distance consider the first derivative

d' = (2x + (54/x))' = 2 - (54/x²)

and d' = 0 give us (x must be positive)

2 - (54/x²) = 0 ⇒ x = √27 m ≈ 5.2 m

5 0

3 years ago

3(x-3)=0 please please help I don't understand these !???

Arada [10]

3x-9=0
3x=9
x=3
hoped that helped

4 0

3 years ago

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NEED ANSWER ASAP!!! The function f(x) is shown on the graph.<br> If f(x) = 0, what is x?

gulaghasi [49]

F(x) is y...so when y = 0, x is : -2,1 or 3 only

7 0

4 years ago

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A certain type of ceral is sold in boxes of two different sizes. The price of the 8-ounce box is $2.48, and the rice of the 14-p

Bess [88]

Answer:

Step-by-step explanation:

The cereals are sold in boxes of two different sizes.

The price of the 8-ounce box is $2.48. It means that the cost per ounce of cereal in the 8-ounce box is

2.48/8 = $0.31 per ounce

The price of the 14-ounce box is $3.36. It means that the cost per ounce of cereal in the 8-ounce box is

3.36/14 = $0.24 per ounce

Therefore, the cost per ounce of cereal in the 8-ounce box is greater than the cost per ounce of cereal in the 14-ounce box by

0.31 - 0.24 = $0.07

4 0

3 years ago