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Black_prince [1.1K]
2 years ago
10

Expand and simplify (x+6)(x−11)

Mathematics
1 answer:
KatRina [158]2 years ago
7 0

Answer:

x^2 - 5x - 66

Step-by-step explanation:

1. Distrubute the x to the x and -11 so you will get x^2 - 11x

2. Distrubute the 6 to x and -11 and you get 6x - 66

3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66

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Answer:

Ti lah 13435364646166161611646646767676797979494

8 0
2 years ago
Factorise x²-4y² mmmmm
Juli2301 [7.4K]

Answer:

(x + 2y)(x − 2y)

Step-by-step explanation:

x² - 4y²

(x + 2y)(x − 2y)

6 0
2 years ago
Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, ha
Andrews [41]

Answer:

1) Between 12.5 miles and 21.7 miles.

2) b) 75%

3) c) 95%

4) Between 13.7 miles and 20.5 miles.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by P = 100(1 - \frac{1}{k^{2}}).

1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.

Within k standard deviations of the mean, and k is found when P = 36. So

P = 100(1 - \frac{1}{k^{2}})

36 = 100 - \frac{100}{k^2}

\frac{100}{k^2} = 64

64k^2 = 100

k^2 = \frac{100}{64}

k = \sqrt{\frac{100}{64}}

k = \frac{10}{8}

k = 1.25

Within 1.25 standard deviations of the mean.

1.25*3.7 = 4.6 miles

17.1 - 4.6 = 12.5 miles

17.1 + 4.6 = 21.7 miles

Between 12.5 miles and 21.7 miles.

2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.

17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.

3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.

Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.

4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.

Within 1 standard deviation of the mean.

17.1 - 3.4 = 13.7

17.1 + 3.4 = 20.5

Between 13.7 miles and 20.5 miles.

6 0
3 years ago
There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of the
ANEK [815]

Answer:

5x pounds

Step-by-step explanation:

Here's the solution if you need, hope it's help

8 0
2 years ago
Please help me with question 5
Fantom [35]
Use the left and right triangles. (the two smaller ones -- ACD and BCD)
By similar triangles ACD is similar to BCD
on the left AD/CD is one ratio
On the right CD/DB is the other. These two ratios are equal because they are corresponding parts.

AD / CD = CD / DB
AD = 3
DB = 12
CD = ??
Substitute.
3/CD = CD/12 Cross multiply
36 = CD^2
sqrt(36) = sqrt(CD^2)
CD = 6 <<<<==== Answer.
A <<<<====Answer.
 
7 0
3 years ago
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