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erma4kov [3.2K]
3 years ago
13

A fitness instructor measured the heart rates of the participants in a yoga class at the conclusion of the class. The data is su

mmarized in the histogram to the right. There were fifteen people who participated in the class between the ages of 25 and 45. Use the histogram to answer the question. What is the approximate percentage of participants that had a heart rate less than 130​ bpm?
Mathematics
1 answer:
fomenos3 years ago
5 0

Answer and Explanation:

Please find full question attached

From the bar chart, we can see that the the interval 130-150 has two bars in it:

Interval 130-140 with the highest frequency of 5

Interval 140-150 with frequency of 2

Therefore to find the percentage between 130-150 we add up the frequencies 2+5=7 and divide by the total frequency of 15 people all multiplied by 100

=7/15×100= 46.67%

Percentage of participants with heart rate between 130 and 150 =46.67%

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Step-by-step explanation:

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3 years ago
5y + 3 = 8y − 5 + 2y
DIA [1.3K]

Answer:

\fbox{y = 8/5 }

Explanation:

[to solve for y, first use the properties of equality to simplify the equation]

5y + 3 = 8y − 5 + 2y

5y + 3 = (8y + 2y) – 5

[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]

5y + 3 = 10y – 5

[combine like terms]

5y + 3 = 10y – 5

\: \: \: \: \: \: -3 \: \: \: \: \: \: \: \: \: \: \: -3

[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]

5y = 10y – 8

–10y –10y

[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]

-5y = -8

÷(-5) ÷(-5)

[divide both sides by -5 to cancel out the coefficient of y: division property of equality]

y = 8/5

7 0
3 years ago
Read 2 more answers
Write the following inequality in slope-intercept form. 5x-5y≥70
alexdok [17]

Answer:

-5y ≥ -5x + 70

Step-by-step explanation:

Slope-Intercept form is y = mx + b

To turn this inequality into slope-intercept form, you need to subtract 5x from both sides. This makes the 5x negative because of the minus sign. The original minus sign in front of 5y stays there as a negative sign. So the inequality becomes -5y ≥ -5x + 70.


4 0
3 years ago
Question 3 of
Rufina [12.5K]

With respect to the parent function y = cos x, the interval closest to the range of the transformed function is ( 0,50). the correct option is D.

<h3>How to find the functions corresponding to each graph based on the period of a function?</h3>

Mathematically speaking, cosines are periodic functions, and period (T) is the distance in the horizontal axis such that f(t + T) = f(t). The period of the parent cosine function is 2π. The period in daughter functions may vary by means of the following form:

y = cos Ax     (1)

Where:

x - Independent variable

y - Dependent variable

A - Period width

From the graph, it is observed that with respect to the parent function y = cos x, the interval closest to the range of the transformed function is ( 0,50). the correct option is D.

To know more about parent functions follow brainly.com/question/26369761

#SPJ1

3 0
2 years ago
Mrs. Jones buys 7 t shirts and 6 hats for $86. The price of each t shirt is $3 more than the price of each hat. How much does Mr
Maslowich

The price of 1 hat is $ 5 and price of 1 t-shirt is $ 8

<em><u>Solution:</u></em>

Let "s" be the price of 1 shirt

Let "h" be the price of 1 hat

<em><u>Given that Jones buys 7 t-shirts and 6 hats for $86</u></em>

Therefore, we can frame a equation as:

price of 1 shirt x 7 + price of 1 hat x 6 = 86

s \times 7 + h \times 6 = 86

7s + 6h = 86 ------ eqn 1

<em><u>Also given that The price of each t shirt is $3 more than the price of each hat</u></em>

price of 1 shirt = 3 + price of 1 hat

s = 3 + h -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Substitute eqn 2 in eqn 1

7( 3 + h ) + 6h = 86

21 + 7h + 6h = 86

21 + 13h = 86

13h = 86 - 21

13h = 65

<h3>h = 5</h3>

From eqn 2,

s = 3 + h = 3 + 5 = 8

<h3>s = 8</h3>

Thus price of 1 hat is $ 5 and price of 1 t-shirt is $ 8

8 0
3 years ago
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