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3 years ago

AB C D E F +3 x2 -3x -18

Mathematics

2 answers:

madam [21]3 years ago

5 0

Answer:

(x + 3) ( x - 6)

Step-by-step explanation:

x² - 3x - 18

x² - 6x + 3x - 18

x(x - 6) + 3(x - 6)

(x + 3) ( x - 6)

Korolek [52]3 years ago

5 0

Answer:

(x + 3) ( x - 6)

Step-by-step explanation:

x² - 3x - 18

x² - 6x + 3x - 18

x(x - 6) + 3(x - 6)

(x + 3) ( x - 6)

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2. A landscaper drew a scale drawing of a rectangular yard using the scale, , before beginning to work on the yard.(a) The lands

Phantasy [73]

Complete question :

A landscaper drew a scale drawing of a rectangular yard using the scale, , before beginning to work on the yard.

(a) The landscaper plans to put a fence around the entire yard. How many meters of fencing does she need? Show your work.

(b) The landscaper plans to create a rectangular garden that is the size of the actual yard. What is the area of the garden?

Answer:

28cm ; 48cm²

Step-by-step explanation:

From the diagram :

Length = 8cm

Width = 6cm

Meters of fencing required :

Perimeter of rectangle :

P = 2(length + Width)

P = 2 (8cm + 6cm)

P= 2(14cm)

P = 28 cm

2.)

Area of rectangle :

Length * width

8cm * 6cm

= 48cm²

8 0

3 years ago

2. To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. a. Would you

ANEK [815]

Answer:

Step-by-step explanation:

Size of the population, N = 4000

Size of the sample, n = 40

n/N = 40/4000 = 0.01

0.01 is less than 0.05 and hence we would not us the finite population correction factor in calculating the standard error of the mean.

Population standard deviation is σ = 8.2

So, the standard error of x’ using the finite population correction factor is give by

σ(x’) = √[(N - n)/(N - 1)] x (sigma/√n)

σ(x’) = √[(4000 - 40)/(4000 - 1)] x (8.2/√40)

σ(x’) = 1.29

Standard error of x’ without using the finite population correction factor is

σ(x’) = σ/√n

σ(x’) = 8.2/√40 = 1.2965

There is little difference between the two values of the standard error. So we can ignore the population correction factor.

Let the population mean be μ

Probability that the sample mean will be within =-2 of the population mean is

P(μ– 2 < x’ < μ + 2)

At x’ = μ – 2 , we have

z = (μ – 2 – μ)/1.2965

z = -1.54

at x’ = μ + 2, we have

z = (μ + 2 – μ)/1.2965

z = 1.54

So the required probability is

P(μ – 2 < x’ < μ + 2) = p(-1.54< z < 1.54)

P(μ – 2 < x’ < μ + 2) = p(z < 1.54) – p(z < -1.54)

P(μ – 2 < x’ < μ + 2) = 0.9382 – 0.0618

P(μ – 2 < x’ < μ + 2) = 0.8764

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3 years ago

Please help! Write down the correct type of angle for angles A to E.

mel-nik [20]

Answer:

Angle A- Obtuse angle

Angle B- Right angle

Angle C- Reflex angle

Angle D- Reflex angle

Angle E- Acute angle

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3 years ago

Jane and Lee had dinner at The Palace The bill totaled $20 30 with tax The service

kirza4 [7]

Answer:

$3.45

Step-by-step explanation:

$20.30 / 10 = $2.30 = 10%

$2.30 / 2 = $1.15 = 5%

$2.30 + $1.15 = $3.45 = 15%

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3 years ago

The numbers on a certain combination lock start with 0 and go through 10. If a combination consists of 3 numbers, how many diffe

NikAS [45]

There would be 165 combinations

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3 years ago

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