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kati45 [8]
2 years ago
14

5. In how many ways can four boys and three girls be seated in a row con taining seven seats ( a ) if they may sit anywhere , (

b ) if the boys and girls must alternate ?​
Mathematics
1 answer:
hram777 [196]2 years ago
7 0
They can be sat 6 different ways
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nadezda [96]

The area of a circle is area = pi x r^2

The full area = 3.14 x 20^2 = 1256 square feet.

The corner forms a 90 degree angle so the dirt area is 3/4 of a full circle.

Answer = 1256 x 3/4 = 942 square feet

7 0
2 years ago
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Dan buys a car for £2200.
KatRina [158]

Answer:

The worth of the car after 6 years is £2,134.82

Step-by-step explanation:

The amount at which Dan buys the car, PV = £2200

The rate at which the car depreciates, r = -0.5%

The car's worth, 'FV', in 6 years is given as follows;

FV = PV \cdot \left ( 1 + \dfrac{r}{100} \right )^n

Where;

r = The depreciation rate (negative) = -0.5%

FV = The future value of the asset

PV = The present value pf the asset = £2200

n = The number of years (depreciating) = 6

By plugging in the values, we get;

FV = 2200 \times \left ( 1 + \dfrac{-0.5}{100} \right )^6 \approx 2,134.82

The amount the car will be worth which is its future value, FV after 6 years is FV ≈ £2,134.82 (after rounding to the nearest penny (hundredth))

8 0
2 years ago
A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must
nirvana33 [79]

Answer:

0.430

Step-by-step explanation:

Product has four parts :

For proper functioning, each part must function :

Let the 4 parts be:

A, B, C and D

Proper functioning probability :

A and B = 0.79

C and D = 0.83

For proper functioning :

P(A) * P(B) * P(C) * P(D)

0.79 * 0.79 * 0.83 * 0.83

= 0.42994249

= 0.430

3 0
3 years ago
Need help with this plz
gogolik [260]

Answer:

x =  \frac{ - 24 \pm \sqrt{ - 288} }{4}  \\  =  \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\  =   \frac{ - 24 \pm \sqrt{ - 1}  \sqrt{ {12}^{2} } \sqrt{2}  }{4} \\  =   \frac{ - 24 \pm i 12\sqrt{2}  }{4} \\  =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\=  -  6  \pm \: i3 \sqrt{2}

3 0
2 years ago
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Y= -7/4x - 11
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