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PSYCHO15rus [73]
2 years ago
5

Find the value of the variable

Mathematics
1 answer:
8_murik_8 [283]2 years ago
3 0

\:  \:  \: \qquad\qquad\huge\underline{{\sf Answer}}

#\textsf{1. In the given question, we have been given a} \textsf{ rectangular figure with length of its diagonal}\textsf{ in terms of x ~}

\textbf{what we need to know : }

\texttt{❝ Diagonals of a rectangle are equal to }\texttt{one another ❞ }

\textbf{Then we can infer that :}

\qquad \sf  \implies5x - 15 = 3x + 9

\qquad \sf  \implies5x -3x =   9 + 15

\qquad \sf  \implies2x=   24

\qquad \sf  \implies x=   24 \div 2

\qquad \sf  \implies x=   12 \:  \: units

\textsf{Therefore, the value of x is 12 units} ~

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3 years ago
The resting heart rate of 60 patients is shown in the frequency table below.
Murrr4er [49]

The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

<h3>How to determine the standard deviation of the data set?</h3>

The dataset is given as:

Heart Rate  Frequency

60 1

65 3

70 4

75 12

80 8

85 15

90 9

95 5

100 3

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 +  80 * 8 +  85 * 15 +  90 * 9 +  95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)

Evaluate

Mean = 82.25

The standard deviation is

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f -1}}

So, we have:

SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 +  15 * (85 - 82.25)^2 +  9 * (90  - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]

This gives

SD = √85.9533898305

Evaluate

SD = 9.27

Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

Read more about standard deviation at:

brainly.com/question/4079902

#SPJ1

5 0
2 years ago
19% of 43 estimated answer
Phantasy [73]

Answer:

19% of 43 = 8.17

7 0
3 years ago
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