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2 years ago

The sum of the three consecutive integers is -27. What is the product of the smallest and largest of the three integers?

Mathematics

1 answer:

Aleksandr [31]2 years ago

4 0

Answer:

B. 80

Step-by-step explanation:

3 consecutive integers: x-1 , x , x+1

(x-1) + x + (x+1) = -27

3x = -27

x = -9

smallest: -9-1 : -10

largest: -9+1 : -8

product of the smallest and largest of the three integers: (-10)*(-8)=80

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TVs are described by the length of their diagonals. The diagonal of a TV is

elena55 [62]

Answer:

Step-by-step explanation:

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3 years ago

Can someone really help me please

maksim [4K]

Answer:

1-B, 2-B, 3-B, 4-B, 5-A

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2 years ago

You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 14 percent, –9 percent, 16 perc

MatroZZZ [7]

Answer:

a. 9%

b. 0.01445

c. 12.02%

Step-by-step explanation:

n = 5 years

Return rates = 14%, –9%, 16%, 21%, and 3%

a. Arithmetic average return

$A= \frac{14-9+16+21+3}{5} \\A=9.00$

b. Historical variance (to 5 decimal places)

$V= \frac{\sum (X_i-A)^2}{n-1} \\V= \frac{(0.14-0.09)^2+(-0.09-0.09)^2+(0.16-0.09)^2(0.21-0.09)^2(0.03-0.09)^2}{5-1}\\ V=0.01445$

c. Standard deviation.

$s = \sqrt{V} \\s= \sqrt{0.01445}\\s=0.1202 = 12.02\%$

8 0

3 years ago

Approximately 9 out of every 50 people who saw a movie this week say they watched it on Netflix. Suppose we want to find the pro

uysha [10]

Answer:

1. As a fraction: 9/50

2. As a proportion: x/1 = 9/50

3. As a percentage: 18%

Explanation:

1. As a fraction:

Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:

Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week

Probability = 9 / 50

2. As a proportion:

A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.

Hence, the proportion that shows the probability is:

x / 1 = 9 / 50

Where x is the probability.

3. As a percentage

You just have to multiply the probability by 100:

(9/50) × 100 = 18%

6 0

3 years ago

How to solve x^2+x-90=0 in completing the square method

tigry1 [53]

Rearrange the equation by writing

x² + x - 90 = 0

x² + x = 90

x² + x + 1/4 = 90 + 1/4

Recall that (a + b)² = a² + 2ab + b². Then

x² + 2 • x/2 + (1/2)² = 361/4

(x + 1/2)² = 361/4

x + 1/2 = ± √(361/4)

x = -1/2 ± 19/2

x = 9 or x = -10

3 0

2 years ago