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4 years ago

Write the standard form and expanded form Five and nine tenths

Mathematics

2 answers:

astraxan [27]4 years ago

8 0

Standard form- 5 9/10

torisob [31]4 years ago

7 0

Standard: 5.9 or 5 9/10
Expanded: 5+0.9

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Find the ratio of the areas.

pshichka [43]

9514 1404 393

Answer:

3 -2√2

Step-by-step explanation:

For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...

small area / large area = (1/(1+√2))^2 = 1/(3+2√2)

small area/large area = 3 -2√2

_____

The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.

3 0

3 years ago

The population of an Asian country is growing at the rate of 0.7% annually. If there were 3,942.000 residents in the city in 199

Anettt [7]

Answer:

b) 4,000,000

Step-by-step explanation:

Let the population is measured since 1995,

Given,

The initial population, P = 3,942,000,

Annual rate of growing, r = 0.7% = 0.007,

If y represents the population after t years

So, the population after t years would be,

$y=Pe^{rt}$

$y=3942000(2.7)^{0.007x}$

Therefore, the population after 5 years,

$y=3942000(2.7)^{0.007\times 5}=3942000(2.7)^{0.035}=4081448.78924\approx 4000000$

Hence, the population in 2000 would be approximately 40,00,000.

Option 'b' is correct.

4 0

4 years ago

In a box of 25 external hard disks, there are 2 defectives. An inspector examines 5 of these hard disks. Find the probability th

Salsk061 [2.6K]

Answer:

0.3667 or 36.67%

Step-by-step explanation:

The probability of getting at least 1 defective hard disk among the 5 (P(X>0)) is equal to 100% minus the probability of getting none defectives (1-P(X=0)).

If 23 out of 25 hard disks are non-defective, the probability is:

$P(X>0) = 1 -P(X=0)\\P(X>0) = 1 -\frac{23}{25}*\frac{22}{24} *\frac{21}{23} *\frac{20}{22} *\frac{19}{21}\\ P(X>0) = 0.3667=36.67\%$

The probability that there is at least 1 defective hard disk is 0.3667 or 36.67%.

8 0

3 years ago

Please help ASAP!!!!

ale4655 [162]

Answer:

Step-by-step explanation:

Going down by each column it would be 7,17,24

The next column 12,13,25

Next column 19,30,49

6 0

3 years ago

Evaluate the expression

fgiga [73]

Simplify the following:
2^3 (4×36/12 + 1/4)

4×36/12 = (4×36)/12:
2^3 ((4×36)/12 + 1/4)
2^3 = 2×2^2:
2×2^2 ((4×36)/12 + 1/4)
2^2 = 4:
2×4 ((4×36)/12 + 1/4)
2×4 = 8:
8 ((4×36)/12 + 1/4)
36/12 = (12×3)/12 = 3:
8 (4×3 + 1/4)
4×3 = 12:
8 (12 + 1/4)
Put 1/4 + 12 over the common denominator 4. 1/4 + 12 = 1/4 + (4×12)/4:
8 1/4 + (4×12)/4
4×12 = 48:
8 (1/4 + 48/4)
1/4 + 48/4 = (1 + 48)/4:
8 (1 + 48)/4
1 + 48 = 49:
8×49/4

8×49/4 = (8×49)/4:
(8×49)/4
8/4 = (4×2)/4 = 2:
2×49
2×49 = 98:
Answer: 98

4 0

4 years ago