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Marta_Voda [28]
3 years ago
11

The perimeter of a rectangular painting is 264 centimeters. If the width of the painting is 55 centimeters, what is it’s len?

Mathematics
1 answer:
saul85 [17]3 years ago
4 0
P = 2w + 2l
264 = 2(55) + 2l
264 = 110 + 2l
2l = 154
l = 77

the length is 77cm
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A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with
tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>

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The z score probability distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

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So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X \leq 12)

    P(X < 15) = P( \frac{X-\mu}{\sigma} < \frac{15-12.56}{6.7} ) = P(Z < 0.36) = 0.64058

    P(X \leq 12) = P( \frac{X-\mu}{\sigma} \leq \frac{12-12.56}{6.7} ) = P(Z \leq -0.08) = 1 - P(Z < 0.08)

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7 0
4 years ago
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.
Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

<u>**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**</u>

If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.

PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.

With that in mind, we can apply this ratio to find WX.

We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.

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What is the linear function equation represented by the graph?
victus00 [196]

The linear function equation is \boxed{y = \frac{1}{3}x - 4}.

Further explanation:

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

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\boxed{y = mx + k}

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Learn more:

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

3 0
3 years ago
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