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Eva8 [605]
3 years ago
14

A set of numbers is shown:

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0
3x + 3 > or equal to 21
3x > -3 +21
3x>18
x> 18/3
x> or equal to = 6
3(6) + 3 > 21
18 + 3 > 21
21> 21
So remember greater than or equal to

6 for x is equal to
12 for x is greater than
3(12)

18 for x is greater than 21. 3(18)

Answer is (6,12,18)

3(2.8) = 8.4 + 3 is only 11.4 < 21
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Complete the statement. Round to the nearest hundredth if necessary
Bond [772]

Answer:

45.9

Step-by-step explanation:

Remember that the hundredths place value is the second number after the decimal point and to round that number has to be greater than five in order to round up.

1m=3.28084

3.28084\times14=45.93176

Hundredths place value = 3

Round:

3

=45.9

Hope this helps.

8 0
3 years ago
A swimming pool had 2.5 million liters of water in it. Some water evaporated, and then the pool only had 2 million liters of wat
Phoenix [80]

Answer:

20%

Step-by-step explanation:

8 0
3 years ago
What is the y- intercept of the function described in the table x: 1,2,3,4 y: 8,6,4,2
weeeeeb [17]

Answer:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x                 y

1                 8

2                6

3                4

4                2

Taking any two points to find the slope

  • (1, 8)
  • (2, 6)

The slope between (1, 8) and (2, 6) is:

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)

m=\frac{6-8}{2-1}

m=-2

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

y=mx+b

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10

6 0
3 years ago
Read 2 more answers
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find
liberstina [14]

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval. The variance is the same as the mean.

Average rate of 56 calls per hour:

This means that \mu = 56n, in which n is the number of hours.

Find the average and standard deviation of the number of service calls in a 15-minute period.

15 minute is one fourth of a hour, which means that n = \frac{1}{4}. So

\mu = 56n = \frac{56}{4} = 14

The variance is also 14, which means that the standard deviation is \sqrt{14} = 3.74

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

4 0
3 years ago
What is the value of x when x + 7 = 21? <br> A) -28 <br> B) -14 <br> C) 3 <br> D) 14
DerKrebs [107]
The answer would be D
4 0
3 years ago
Read 2 more answers
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