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Montano1993 [528]
3 years ago
13

Lengths of Rectangles

Mathematics
1 answer:
Furkat [3]3 years ago
6 0

Answer:

AB = 5

BC = 12

AC = 13

Step-by-step explanation:

A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:

AB = CD = 12

AB = 12

BC = AD = 5

BC = 5

AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:

AC² = AD² + CD²

Plug in the values

AC² = 5² + 12²

AC² = 169

AC = √169

AC = 13

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A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute
sladkih [1.3K]

Answer:

Step-by-step explanation:

The Hypothesis :

H0 : σ = 10

H1 : σ ≠ 10

The Chisquare statistic, χ² ;

χ² = [(n-1) * s²] ÷ σ²

Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10

χ² = [(44 - 1) * 10.7²] ÷ 10²

χ² = [43 * 114.49] ÷ 100

χ² = [4923.07] ÷ 100

χ² = 49.2307

Using the Pvalue from Chisquare calculator :

degree of freedom, df = n - 1 = 44 - 1 = 43

Pvalue = 0.238

7 0
3 years ago
Please explain this to me please <br> Will give brainly if you actually answer the questions
RSB [31]

Answer:

Step-by-step explanation:

11)  $175(1 - 0.30)(1 + 0.06) = $129.85

12) slope is 2, so basic equation is

y = 2x + b

plug in your desired point

-5 = 2(-4) + b

b = 3

y = 2x + 3

5 0
3 years ago
Why is it helpful to estimate the answer before adding or subtracting decimals?
slava [35]
<span>Being able to estimate your answer is a very useful skill. ... When decimals are involved, it's very easy to put the decimal point in the wrong place, and ... round all numbers to the same place value—this makes adding or subtracting a bit easier.</span>
7 0
3 years ago
What is the equation in point -slope form. of the line passing through (0, 5) and (-2,11)
Ksivusya [100]
First, you need to find the slope of the line. You can use this with the slope formula, \frac{y_{2} - y_{1}}{x_{2} - x_{1}}, where the x's and y's are the given coordinates.

\frac{y_{2} - y_{1}}{x_{2} - x_{1}}   Plug in the coordinates
\frac{11 - 5}{-2 - 0}   Subtract
\frac{6}{-2}   Divide
-3

Now, plug the slope (m) and one pair of coordinates, I'll use (-2, 11), into point-slope form, y - y_{1} = m (x - x_{1}).

y - y_{1} = m (x - x_{1})   Plug in the values
y - 11 = -3 (x - (-2)   Cancel out the double negative
y - 11 = -3 (x + 2)


5 0
3 years ago
You know that the sum of -5 and another integer is a positive integer. What can you conclude about the sign sign of the other in
kirill115 [55]
I can conclude that the sign of the other integer is positive and that the other integer is 6 or greater.

I tried explaining it, but failed miserably. I'm so sorry! :(
3 0
4 years ago
Read 2 more answers
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