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Cerrena [4.2K]
3 years ago
12

Given that a rectangle has an area of 35cm^2 and a perimeter of 24cm. What are the length and width of the rectangle?

Mathematics
1 answer:
True [87]3 years ago
8 0

Answer: width= 5cm Length= 7

Step-by-step explanation:

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The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de
inna [77]

Answer:

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let    x₁ = 4

Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65

Let    x₂ = 7

Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85

<u><em>Step(ii):-</em></u>

<u><em>The probability of spending between 4 and 7 days in recovery</em></u>

<em>P(4≤x≤7) = P(-0.65≤Z≤0.85)</em>

<em>              =  P(Z≤0.85) - P(Z≤-0.65)</em>

<em>             = 0.5 + A( 0.85) - ( 0.5 - A(-0.65) </em>

<em>             = 0.5 + A( 0.85) -  0.5 +A(0.65)   ( ∵A(-0.65) = A(0.65)</em>

<em>            =   A(0.85) + A(0.65)</em>

<em>           = 0.3023 + 0.2422</em>

<em>          = 0.5445</em>

<u><em>Final answer:</em></u><em>-</em>

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

<em>            </em>

6 0
3 years ago
I need help on understanding this concept
Sedbober [7]
So the slope formula is m= (y2-y1) /
(x2-x1). You can label -2 as x1 and 11 as y1. And the other point is x2 and y2. They you just plug it in the m= (y2-y1) /
(x2-x1) formula and solve. To get a better understanding look up, how to find the slope of a line with two points. Hope it helps
3 0
2 years ago
What would the graph of y=x look like? name three ordered pairs that lie on the line.
ololo11 [35]

-- The graph looks like a line that passes through the origin,
and slopes up to the right at a 45-degree angle.

-- Point #1 on the line:
. . . . . Pick any number. 
. . . . . Write it down twice.
. . . . . Call the first one 'x'.  Call the second one 'y'.

-- Point #2 on the line:
. . . . . Pick any other number. 
. . . . . Write it down twice.
. . . . . Call the first one 'x'.  Call the second one 'y'.

-- Point #3 on the line:
. . . . . Pick any other number. 
. . . . . Write it down twice.
. . . . . Call the first one 'x'.  Call the second one 'y'.

Rinse and repeat, as many times as you like,
until the novelty wears off and you lose interest.

3 0
3 years ago
Read 2 more answers
30 + 40 = <br> 40+10=<br> 50+0=<br> 40+10=
Oliga [24]

Answer:

70

50

50

50

The easiest way to do it is to add the first digits then add the zero.

Hope that helps and have a great day!

3 0
3 years ago
Read 2 more answers
Cos(3x)=Sqaure roote 2 / 2
Tems11 [23]

\huge\rightarrow{{  \underline{ Answer \:  \:  ✓ }}}

<h3 />

\huge\boxed{x = 15°}

<h3 /><h3>Solution : </h3>

  • \cos(3x)  =  \dfrac{ \sqrt{2} }{2}

  • \cos(3x)  =  \dfrac{1}{ \sqrt{2} }

  • \cos(3x)  =  \cos(45)

  • 3x = 45

  • x = 15

The measure of x = 15°

\#TeeNForeveR

6 0
3 years ago
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