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san4es73 [151]
3 years ago
14

Write an algebraic expression for each word phase 9 less than x 6 minus f t multiplied by 6 one half of a number n

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

9 < x

6 - f

t × 6

1/2n

Step-by-step explanation:

Given expressions:

9 less than x

Less than (<)

9 less than x = 9 < x

6 minus f

Minus (-)

= 6 - f

t multiplied by 6

Multiplication (×)

= t × 6

one half of a number n

One half = 1/2

one half of a number n

= 1/2 × n

= 1/2n

= n/2

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The angle of sector of cicle of diameter 8cm is 135 . find the area of the sector<br>​
Naddik [55]

Answer:

18.85 cm²

Step-by-step explanation:

The formula to find the area of a sector = θ/360 × πr²

We are given:

θ = Angle of the sector = 135°

Radius = Diameter/2

Diameter = 8cm , Hence Radius = 8cm/2 = 4cm

Hence,

Area of a sector = 135/360 × π ×(4cm)²

= 18.849555922 cm²

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8 0
3 years ago
Two factories I and II produce phones for brand ABC. Factory I produces 60% of all ABC phones, and factory II produces 40%. 10%
denpristay [2]

Answer:

0.3721 or 37.21%

Step-by-step explanation:

P(I) = 0.60; P(II) = 0.40;

P(not defective I) = 0.90; P(not defective II) = 0.80

The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

P(II|not) = \frac{P(II)*P(not_{II})}{P(II)*P(not_{II})+P(I)*P(not_{I})}\\P(II|not) = \frac{0.40*0.80}{0.40*0.80+0.60*0.90}\\ P(II|not) =0.3721 = 37.21\%

The probability is 0.3721 or 37.21%.

4 0
3 years ago
Here 2.4,1.6, 3.2,0.3, 1.5 . a)Calculate the means . b)Each piece of data is increased by 10. Calculate the new mean. c) Each ne
vagabundo [1.1K]

Answer:

1.8 ; 11.8 ; 4.18

Step-by-step explanation:

Given the data:

X : 2.4,1.6, 3.2,0.3, 1.5

Mean, m = Σx / n

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m = 9 /5

m = 1.8

If data is increased by 10:

X : 12.4, 11.6, 13.2, 10.3, 11.5

Σx = 59 ; n = 5

m = 59 /5

m = 11.8

If data values is doubled :

X : 5.76, 2.56, 10.24, 0.09, 2.25

Σx = 20.9 ; n = 5

m = 20.9 /5

m = 4.18

7 0
3 years ago
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