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fiasKO [112]
3 years ago
13

Line w is perpendicular to the line y = −x − 5 and passes through the point (−2, 4). What is the y-intercept of line w?

Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

The slope of a line perpendicular to another is the negative reciprocal of the original.  The negative reciprocal of -1 is 1.  The equation will read:

y=x+b

To solve for the y-intercept (b), plug in the given values of x and y:

4=-2+b

<em>*Add 2 to both sides*</em>

D. 6


Hope this helps!!

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irina [24]
Perimeter = 93 x 2 + 63 x 2 = 186 + 126 = 312 feet 
6 0
3 years ago
The perimeter of a rectangular ink pad is 36 centimeters. The ink pad is 12 centimeters wide. How tall is it?
Nikitich [7]

Answer:

6 cm

Step-by-step explanation:

36-24=12 and 12/2 is 6

Hope this helps!!!!!!!!!!!!!!

3 0
3 years ago
A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl
True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

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.

A service center receives an average of 0.6 customer complaints per hour.

This means that \mu = 0.6h, in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that h = 8, \mu = 0.6(8) = 4.8.

The probability is P(X = 4).

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

P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0
3 years ago
 Divide 1 hour in the ratio 1 : 9 : 10
olganol [36]

Answer:

3 minutes; 27 minutes; 30 minutes

Step-by-step explanation:

Let the common multiplier of the given ratios be x. So, the ratios 1: 9 : 10 will become x, 9x and 10x respectively.

Therefore,

x + 9x + 10x = 1 \: hour \\  \\ 20x = 60 \: minutes \\  \\ x =  \frac{60 \: minutes}{3}   \\  \\ x = 3 \: minutes \\  \\ 9x = 9 \times 3 = 27 \: minutes \\  \\ 10x =  10 \times 3 = 30 \: minutes

Thus, 1 hour in the ratio 1 : 9 : 10 can be divided as:

3 minutes; 27 minutes; 30 minutes

5 0
3 years ago
The circumference of a circle can be found using the
Ivahew [28]
Answer - to solve for the equivalent equation of r you would need to use the formula r=c/pi2.
5 0
3 years ago
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