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4 years ago

Factor completely x2 + 20x − 36.

Mathematics

1 answer:

vodomira [7]4 years ago

5 0

Answer:

Prime

Step-by-step explanation:

x² + 20x − 36

You must find a pair of numbers that multiply to give -36 and add to give +20.

The likely candidates are 2 and 18, and they must have opposite signs to give a negative product.

+2 × (-18) = -36; +2 + (-18) = -16

-2 × 18 = -36; -2 + 8 = +16

Neither combination gives +20 as the sum.

The expression can't be factored with rational numbers.

The expression is prime.

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A 18 -person road crew is scheduled to finish repairing a highway in 10 days. On the morning of the fifth day, several workers o

Pavlova-9 [17]

Answer:

9 workers finished the repairs, therefore 9 members of the original crew were removed.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Original crew scheduled to finish repairing a highway = 18 person

Number of days remaining to finish the work = 10 - 4 = 6 days

Number of days that the rest of the crew finished the repairs = 12 days

2. How many workers were removed from the crew?

We will use Inverse Rule of Three to answer this question because the less workers the crew has the more time it will take them to finish the repairs, as follows:

Workers Days

18 6

x 12

12x = 18 * 6 (Inverse Rule)

12x = 108

x = 108/12

x = 9

9 workers finished the repairs, therefore 9 members of the original crew were removed.

3 0

3 years ago

Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

Complete the ratio table to convert the units of time from hours to weeks or weeks to hours.

Burka [1]

Answer:

168=1

1176=7

504=3

Step-by-step explanation:

HOPE THIS HELPED!!!

7 0

3 years ago

Read 2 more answers

The probability of obtaining nine heads in a row when flipping a coin is

Gelneren [198K]

Answer: The probability is about 0.2%.

The probability of flipping heads one time is 0.5, 50% or 1/2.

To flip heads 9 times in a row, we have to multiply 1/2 by itself 9 times.

(1/2)^9 = 1/512 or about 0.2%

It should only happen once every 512 times.

7 0

3 years ago

B) The price of a computer was $375. In a sale, the price was reduced by 15%. Calcuate the reduction

Rus_ich [418]

New price is 318.75, u save 56.25

3 0

3 years ago