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Pavel [41]
3 years ago
5

Simplify 6x+(- 9)-9(5x+5)+x

Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer:

-38x-54

Step-by-step explanation:

6x-9-9(5x+5)+x

6x-9-45x-45+x

6x-45x+x-9-45

-39x+x-9-45

-38x-9-45

-38x-54

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In a certain region, there is a 0.1 probability that any checked passerine bird's nest will
mamaluj [8]

Answer:

Probability of at least two cuckoo eggs is 0.738.

Step-by-step explanation:

probability of cuckoo egg = 0.1

probability of not a cuckoo egg = 1 - 0.1 = 0.9

Probability of at least two cuckoo eggs is

= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +

probability of three cuckoo eggs

= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9

= 0.009 + 0.729

= 0.738  

5 0
3 years ago
The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo
muminat

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

λ = 0.2×7 + 0.3×5 = 2.9

According to Poisson distribution: {\displaystyle P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}}

Where \lambda is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

P(k > 2)= 1 - {P(k = 0) + P(k = 1) + P(k = 2)}

Substitute the respective values in the above formula.

P(k > 2)= 1 - ({\frac {2.9 ^{0}e^{-2.9}}{0!}} + \frac {2.9 ^{1}e^{-2.9}}{1!}} + \frac {2.9 ^{2}e^{-2.9}}{2!}})

P(k > 2)= 1 - (0.44596)

P(k > 2)=0.55404

Hence, the required probability is 0.55404.

4 0
3 years ago
In a statistics​ class, the standard deviation of the heights of all students was 3.8 inches. The standard deviation of the heig
goblinko [34]

Answer:

The reason why standard deviation of the entire class is greater than standard deviation of males and females considered separately, is that mean values for males and females are different from each other.

Step-by-step explanation:

The concept of mean is well represented by the following formula

mean = \frac{(x1 + x2 + x3 + ..... + xn)}{N}, where x1, x2, xn are the observations and N is the number of observations (population).

Standard deviation represents the distance between each observation and the mean of the population (all observations). The formula for this parameter is:

Standard deviation =√[((x1 - x)² + (x2-x)² + ....+ (xn-x)²)/N-1], where x1, x2,..., xn are the observations and x is the mean value.

In this case you have that each height registered is an observation and the number of observations represents the N value. As you can see if the mean for males is different from that of females their standard deviation will be different too. Usually males have heigths greater than that of females (1.77 vs 1.64, in USA for example), and heights inside each group will be more similar than between groups. Then, when you mix all observation there will be an increase in standard deviation, because you are mixing very different heigths

4 0
3 years ago
Which graphed line represents an equation of a line with a slope of -1 and a point on the line of (1, - 1)? A) red line
mamaluj [8]

Answer:

y = -x

Step-by-step explanation:

slope = change in y/change in x

slope = -1

Find the y-intercept

x value difference between (0,0) and (1,-1) = 1

if change in x = 1 then change in y = -1 so y-intercept = -1 + 1 = 0

y = -x + 0

4 0
3 years ago
Please help me I have no clue how to do this
Butoxors [25]

Answer:

Try the answer B.

Step-by-step explanation:

3 0
3 years ago
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