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2 years ago

Is a x a +15a + 75 a perfect square trinomial

1 answer:

5 0

Factoring. A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. (This is the part where you are moving the other way). In a perfect square trinomial, two of your terms will be perfect squares.

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Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and

Black_prince [1.1K]

Answer:

0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411

Step-by-step explanation:

The random variable X is normally distributed with a mean of 21 and standard deviation of 7

;

X ~ N(μ = 21 ; σ = 7)

X ~ N(21, 7)

Probability that a trial lasted atleast 24 days :

P(X ≥ 24) :

The standardized score :

Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286

Hence,

P(Z ≥ 0.4286) = 0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411

6 0

2 years ago

“Great job, you've already earned 1300 points, but there are 5 more days in this month. How many points a day do you need to rea

sergiy2304 [10]

You would have to get 56 points everyday.
If you subtract 1300 from 1580 you get 280. divide 280/5 which equals 56.
56*5=280
280+1300=1580.
56 is the amount of points you need

6 0

2 years ago

Read 2 more answers

Are triangles ADC and EBC congruent? triangle ADC is overlapping triangle EBC so that they both share angle ACE, point B is on s

Olin [163]

Answer:

Yes, by AAS ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the cases of congruence

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 corresponding sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 corresponding

sides and including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅

2 corresponding angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 corresponding

angles and one side in the 2ndΔ

* Lets solve the problem

- In 2 Δs ADC and EBC

∵ ∠ACE is a common angle in the two triangles ⇒ given

∵ ∠CAD ≅ ∠CEB ⇒ because they marked with the same symbol

∵ DC ≅ BC ⇒ because they marked with the same symbol

- Two angles and one side in Δ ADC ≅ two corresponding angles

and one side in Δ EBC

∴ Triangles ADC and EBC congruent by AAS

* Yes Triangles ADC and EBC congruent by AAS

8 0

2 years ago

Read 2 more answers

On september 8, 2004, the genesis spacecraft crashed in the utah desert because its parachute did not open. the 210-kg capsule h

maw [93]

311km/h = 86.389 m/s
Initial KE 
= 0.5 * 210 * 86.389^2 J 

work done by force of ground 
= F * 0.81 J 

0.5 * 210 * 86.389^2 = 0.81 F 

F = 967433.58 N 

capsule's weight W= 210 * 9.81 = 2060.1 N 

F = 469.6 times capsule weight ---answer

6 0

2 years ago

You Are Planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the gard

S_A_V [24]

Answer:

Area of the garden = 16 $\sqrt{3}$ ft²

Step-by-step explanation:

Given:

Base of garden = 8 Ft

Find:

Area of the garden = ?

First, we have to find height of the triangle.

$Height = \sqrt{8^2-4^2}\\\\Height = \sqrt{64-16}\\\\Height = \sqrt{48}\\\\Height = 4\sqrt{3}\\$

Computation of area of the garden:

Area of the garden = 1/2 × b × h

Area of the garden = 1/2 × 8 × 4 $\sqrt{3}$

Area of the garden = 16 $\sqrt{3}$ ft²

4 0

2 years ago

Is a x a +15a + 75 a perfect square trinomial​

Is a x a +15a + 75 a perfect square trinomial