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DENIUS [597]
3 years ago
9

If one factor of x2 + 2x - 24 is (x-6)

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

for this equation one factor is (x+6) and the other is (x-4)

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About 15​% of the population of a large country is allergic to pollenallergic to pollen. if two people are randomly​ selected, w
zubka84 [21]
P(allergic) = 0.15

P(both are allergic to pollen) = (0.15)² = 0.0225 (you can use the binomial probability also)

Q(NOT allergic to pollen) = 1 - 0.0225 = 0.9775
Binomial probability

Probability of NEITHER is allergic
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
²C₀(0.15)⁰(0.9775)² = 0.9555

P(at LEAST ONE is allergic) = 1- 0.9555 = 0.0444
7 0
3 years ago
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Routine and non routine problems involving integers
jeyben [28]

Answer:

each one contribute 300

Step-by-step explanation:

The computation of the each one contribution is given below:

Given that

There are six ALS learner who shares the apartment

The total bill is 1,800

So based on the above information, the each one contribution is

= Total bill ÷ number of learners

= 1,800 ÷ 6

= 300

Hence, each one contribute 300

6 0
2 years ago
HELP!!! The graph is at the top! Will mark as brainliest answer!!
Alex777 [14]

Answer:

The value of BEF = 36°

Step-by-step explanation:

Given:

Angle AED = 90°

Angle BEF = 3x°

Angle CEF = 54°

Find;

The value of BEF

Computation:

We know that;

Angle AED = Angle BEC (Vertical opposite angle)

So,

Angle AED = Angle Angle BEF + Angle CEF

90 = 3x + 54

3x = 90 - 54

3x = 36

x = 36 / 3

x = 12

The value of BEF = 3x

The value of BEF = 3(12)

The value of BEF = 36°

4 0
2 years ago
Find the GCF of each pair of monomials. <br> 1). 20, 45x
Helga [31]
 20 and 45x

We look for a number that can go into both numbers.

5 into 20 is 4 and 5 into 45x is 9x.

5:      20       45x

         4           9x

So no other number can go into 4 and 9x again.

So the GCF of 20 and 45x is 5.     

Hope this explains it.
8 0
3 years ago
Read 2 more answers
Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads
Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

Distance = Speed \times Time

Distance\ OA = 10 \times 2.5 = 25\ km

Distance\ OB = 16 \times 2.5 = 40\ km

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled \triangle AOB.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km

The speed at which distance is increasing between the two boats is given as:

\dfrac{47.17}{2.5} \approx 18.87\ km/hr

4 0
2 years ago
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