All categories

3 years ago

Please guys help me out with this question.

Mathematics

1 answer:

Kazeer [188]3 years ago

7 0

The values that make the denominator zero are not in the domain.

x²- 4x - 12 = 0

(x - 6)(x + 2) = 0

Answer: 6, -2

You might be interested in

What is the next term of AP : √2, √8, √18, .......?

solmaris [256]

Answer:

$\sqrt {32}$

Step-by-step explanation:

Next term of the given AP can be obtained by adding common difference (d) in the last term $\sqrt {18}$

$d = \sqrt{18} - \sqrt{8} = 3 \sqrt{2} - 2 \sqrt{2} = \sqrt{2} \\ next \: term = \sqrt{18} + \sqrt{2} \\ = 3 \sqrt{2} + \sqrt{2} \\ = 4 \sqrt{2} \\ = \sqrt{ {4}^{2} \times 2 } \\ = \sqrt{16 \times 2} \\ \huge \red{ \boxed{next \: term = \sqrt{32} }}$

8 0

3 years ago

A dog shelter housed 24 puppies last month. This month, 39 puppies are at the shelter. What is the percent of change?

IgorLugansk [536]

Answer:

62.5%

Step-by-step explanation:

can i have brainliest

8 0

3 years ago

Read 2 more answers

Before a computer is assembled, its motherboard goes through a special inspection. Assume only 85% of motherboards pass this ins

andreyandreev [35.5K]

Answer:

(a) The probability that at least 13 of the next 15 motherboards pass inspection is 0.6042.

(b) On average, 1.18 motherboards should be inspected until a motherboard that passes inspection is found.

Step-by-step explanation:

Let X = number of motherboards that pass the inspection.

The probability that a motherboards pass the inspection is P (X) = p = 0.85.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is,

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

(a)

Compute the probability that at least 13 of the next 15 motherboards pass inspection as follows:

P (X ≥ 13) = P (X= 13) + P (X = 14) + P (x = 15)

$={15\choose 13}0.85^{13}(1-0.85)^{15-13}+{15\choose 13}0.85^{14}(1-0.85)^{15-14}\\+{15\choose 13}0.85^{16}(1-0.85)^{15-15}\\=0.2856+0.2312+0.0874\\=0.6042$

Thus, the probability that at least 13 of the next 15 motherboards pass inspection is 0.6042.

(b)

Computed the expected number of motherboards should be inspected until a motherboard that passes inspection is found as follows:

$Expected\ value=\frac{1}{p}=\frac{1}{0.85}= 1.1764\approx1.18$

Thus, on average, 1.18 motherboards should be inspected until a motherboard that passes inspection is found.

3 0

4 years ago

What is the sum of the interior angles of a 15 sided polygon?

maw [93]

Answer:

156

Step-by-step explanation:

Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be (n-2) 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.

3 0

3 years ago

If Jamie's mom gives him an allowance of $25.00 a week, how much money does he make in one month?

Jobisdone [24]

Answer:

$108 ~ $110

Step-by-step explanation:

There are about 4.345 weeks in a month so:

$25 x 4.345

so about $108

5 0

3 years ago