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Misha Larkins [42]
3 years ago
7

Please help me please will give brainliest show all your work thank you ​

Mathematics
1 answer:
Alika [10]3 years ago
5 0

Answer:

Perimeter: 52 Area: 181-16i?

Step-by-step explanation:

<u>Perimeter</u>

The formula for perimeter is 2l+2w, so you plug in the binomials they give you:

2(11-4i)+2(15+4i)

expand:

22-8i+30+8i

combine like terms (which cancels out 8i and -8i):

22+30=52

<u>Area</u>

"i" is not a real number and thus should not be part of the area here, meaning this answer as it is is wrong and I don't know how one would change that.

Here's what I did to get 181-16i, in any case:

The formula for area is l*w, so I plugged in the numbers:

(11-4i)(15+4i)

expanded:

165+44i-60i-16i*i

and combined like terms:

181-16i

*i is \sqrt{-1}, so i^{2}=-1 and -1*-16=16.

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Convert 1/4 to a decimal ​
ddd [48]

Answer:

0.25

Step-by-step explanation:

You divide the denominator (bottom) into the numerator (top).

1/4 = 1 / 4.00 = 0.25

8 0
3 years ago
The student-to-faculty ratio at a small college is 17 to 3. The total number of students and faculty is 740. How many faculty me
ryzh [129]

17+3=20

740/20=37 Classes

37 classes x 3 faculty members=111

3 0
4 years ago
A type of long-range radio transmits data across the Atlantic Ocean. The number of errors in the transmission during any given a
Marianna [84]

Answer:

32.33% probability of having at least 3 erros in an hour.

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 time interval.

The mean number of errors is 2 per hour.

This means that \mu = 2

(a) What is the probability of having at least 3 errors in an hour?

Either you have 2 or less errors in an hour, or we have at least 3 errors. The sum of the probabilities of these events is decimal 1. So

P(X \leq 2) + P(X \geq 3) = 1

We want P(X \geq 3)

So

P(X \geq 3) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

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

P(X = 0) = \frac{e^{-2}*(2)^{0}}{(0)!} = 0.1353

P(X = 1) = \frac{e^{-2}*(2)^{1}}{(1)!} = 0.2707

P(X = 2) = \frac{e^{-2}*(2)^{2}}{(2)!} = 0.2707

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1353 + 0.2707 + 0.2707 = 0.6767

P(X \geq 3) = 1 - P(X \leq 2) = 1 - 0.6767 = 0.3233

32.33% probability of having at least 3 erros in an hour.

6 0
3 years ago
Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9
katrin [286]

Answer:

y = 1/2x + 7

Step-by-step explanation:

Parallel lines have the same slope.

Therefore the new equation will have a slope(m) = 1/2

Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"

y = mx + b

6 = 1/2(-2) + b

6 = -1 + b

7 = b

The new equation: y = mx + b

                                y = 1/2x + 7

7 0
3 years ago
Please help on one math question
kipiarov [429]

Hello from MrBillDoesMath!

Answer:

225

Discussion:

Sum ( 2n - 1)                  from  n = 1 to 15              

= Sum(2n) - Sum(1)        from n = 1 to 15

= 2 Sum(n) - Sum(1)       from n = 1 to 15

= 2* 15(15+1)/2  - (1 + 1 + .. + 1)

The first value comes from the fact that the sum of the first n integers is  n(n+1)/2. The latter value sums 15 1's.

= 2 * 15 * 16/2 - 15                    => 2/2 = 1

= 15*16 - 15                               => 15*16 = 240

= 240 - 15

= 225

Thank you,

MrB

6 0
3 years ago
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