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Stels [109]
3 years ago
12

1. Smplify the expression. -5(6+9k) *

Mathematics
2 answers:
gladu [14]3 years ago
5 0

Answer:

-30-45k

Step-by-step explanation:

-5*6=-30

-5*9k=-45k

Lelechka [254]3 years ago
4 0

Answer:

-30 -45k

Step-by-step explanation:

-5(6+9k)

Distribute

-5*6 -5*9k

-30 -45k

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Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i
vladimir1956 [14]

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers

The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10

Thus, a Normal approximation to binomial can be applied.

So,  

X\sim N(\mu=600, \sigma=\sqrt{120})

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

                   = P (X > 280.50)

                   =P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

8 0
2 years ago
Solve : x/3-2/5 = 2x/15-3/5
svetoff [14.1K]

Step-by-step explanation:

x/3-2/5=2x/15-3x

5x-6=2x-9

5x-2x=-9+6

3x=-3

3x/3=-3/3

x=-1

6 0
2 years ago
Pythagorean theorem digital escape, can you find the length and area and type the correct code?​
matrenka [14]

Answer:

A=13825

Step-by-step explanation:

5 0
2 years ago
Find the area of each figure below
Ugo [173]

Answer:

25. 27a^{3}b^{2}

26. 3\pi x^{3}y

Step-by-step explanation:

For 25:

A = \frac{a+b}{2} h  (area of a trapezoid)

A=\frac{11a^{2}b+7a^{2}b}{2} *3ab  (substitute terms)

= \frac{18a^{2}b}{2}*3ab  (collect like terms)

= 9a^{2}b*3ab  (reduce the fraction by crossing out 2)

= 27a^{3}b^{2}  (calculate)

For 26:

A=\pi r^{2}  (equation of area of a circle)

A=\pi (3x^{3} y)^{2}  (enter the radius)

= 3\pi x^{3} y  (communtative property to reorder the terms)

7 0
2 years ago
The amounts of plastic waste generated in a region for 2 years were 32,400,000 tons and 20,300,000 tons. What was the total plas
lys-0071 [83]

Answer:

Add 32,400,000 + 20,300,000 = 52.7


6 0
2 years ago
Read 2 more answers
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