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hoa [83]
2 years ago
7

Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.​

Mathematics
2 answers:
jasenka [17]2 years ago
8 0

Hey there! I attached a pic of how to solve this. Hope it helps!

Amanda [17]2 years ago
7 0
Perimeter = 2base + 2base
82 - 2(32) = 18 : 2 = 9
area = 9*32 = 288mm^2
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(a) A lamp has two bulbs, each of a type with average lifetime 1400 hours. Assuming that we can model the probability of failure
Temka [501]

Answer:

For first lamp ; The resultant probability is 0.703

For both lamps; The resultant probability is 0.3614

Step-by-step explanation:

Let X be the lifetime hours of two bulbs

X∼exp(1/1400)

f(x)=1/1400e−1/1400x

P(X<x)=1−e−1/1400x

X∼exp⁡(1/1400)

f(x)=1/1400 e−1/1400x

P(X<x)=1−e−1/1400x

The probability that both of the lamp bulbs fail within 1700 hours is calculated below,

P(X≤1700)=1−e−1/1400×1700

=1−e−1.21=0.703

The resultant probability is 0.703

Let Y be a lifetime of another lamp two bulbs

Then the Z = X + Y will follow gamma distribution that is,

X+Y=Z∼gamma(2,1/1400)

2λZ∼

X+Y=Z∼gamma(2,1/1400)

2λZ∼χ2α2

The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,

P(Z≤1700)=P(1/700Z≤1.67)=

P(χ24≤1.67)=0.3614

The resultant probability is 0.3614

8 0
3 years ago
A coordinate plane with a line passing through points (1, 2) and (4, 4)
Kobotan [32]

A straight line is represented by a linear equation given below.

The points are given as (1, 2) and (4, 4).

Start by calculating the slope (m)

m=\frac{y_2-y_1}{x_2-x_1}

So, we have

m=\frac{4-2}{4-1} \\m=\frac{2}{3}

<h3>What is the slope-intercept form of the line?</h3>

The equation in slope-intercept form is then calculated as:

y=m(x-x_1)+y_1

So, we have:

y=\frac{2}{3}(x-1)+2\\ \\y=\frac{2}{3}(x-4)+4\\

Expand

y=\frac{2}{3}(x-1)+2\\ y=\frac{2}{3} x-\frac{2}{3}+2

Take LCM

y=2/3x+4/3

Multiply through by 3

3y=2x+4

So, the possible equations are:

.3y=2x+4\\y=\frac{2}{3}x+\frac{4}{3} \\y=\frac{2}{3}(x-1)+2\\y=\frac{2}{3}(x-4)+{4}

To learn more about linear equations visit:

brainly.com/question/11897796

#SPJ1

8 0
2 years ago
Read 2 more answers
Please help will give brainlyest need help asap
iren2701 [21]

Answer:

friend me on here and imma send you the link Step-by-step explanation:

4 0
3 years ago
PLEASE HELP!! Which of the following are considered skew lines?
Rom4ik [11]

Answer:

A

Step-by-step explanation:

Hope this helps hope you get it right

8 0
3 years ago
The amounts that two plumbers charge for their services are described.
Solnce55 [7]

Answer:

See below.

Step-by-step explanation:

40 + 15x = 30 + 19x

15x - 19x = 30 - 40

-4x = -10

x = 2.5

Two and a half hours.

8 0
2 years ago
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