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maxonik [38]
2 years ago
6

Jane likes to exercise daily. The table shows the number of calories y she burns by exercising steadily for x minutes. How many

calories would she burn by exercising for 29 minutes?

Mathematics
2 answers:
Nataly_w [17]2 years ago
8 0
Do you have a picture of the table?
marusya05 [52]2 years ago
8 0

Answer:

<h2>319 cal/min.</h2>

Step-by-step explanation:

The table is attached.

You can observe in the table that there's no a value for 29 minutes.

That means we need to find the linear expression and then calculate the answer.

First, we need to find the ratio of change using two pairs of the given table and the following formula, (20,220) and (40,440) are the points

m=\frac{440-220}{40-20}=\frac{220}{20} =11

The ratio of change states that Jane burns 11 calories per minute. So, after 29 minutes, she will burn

11cal(29min)=319 cal/min

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If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as t
dem82 [27]

Answer:

Inverse of a function

Step-by-step explanation:

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.

For example, given the following function:

y = 2x

If x=0 → y= 0

If x=1 → y= 2

If x=2 → y= 4

Now, if we find the inverse of the function:  

y = 2x → x = 2y → y = x/2

Now:

If x=0 → y= 0

If x=2 → y= 1

If x=4 → y= 2

Comparing both cases, you will notice that the ordered pairs are effectively interchanged.

3 0
2 years ago
A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
2 years ago
The owner of a fish market determined that the mean weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A
madam [21]

Answer: The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is 0.596

Step-by-step explanation:

Since the weights of catfish are assumed to be normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = weights of catfish.

µ = mean weight

σ = standard deviation

From the information given,

µ = 3.2 pounds

σ = 0.8 pound

The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is is expressed as

P(x ≤ 3 ≤ 5.4)

For x = 3

z = (3 - 3.2)/0.8 = - 0.25

Looking at the normal distribution table, the probability corresponding to the z score is 0.401

For x = 5.4

z = (5.4 - 3.2)/0.8 = 2.75

Looking at the normal distribution table, the probability corresponding to the z score is 0.997

Therefore,.

P(x ≤ 3 ≤ 5.4) = 0.997 - 0.401 = 0.596

4 0
2 years ago
At the beginning of the summer Matt swim 12 laps. At the end of the summer he could swim 15 laps. What is the percent increase i
aleksandr82 [10.1K]
Percent change = (new number - old number)/(old number) * 100
A positive percent change is a percent increase.
A negative percent change is a percent decrease.

In this problem, we have:
The new number is 15 laps.
The old number is 12 laps.


percent change = (15 - 12)/(12) * 100

percent change = 3/12 * 100

percent change = 25

Since the percent change is positive, +25, it is a percent increase.

Answer: The percent increase is 25%

8 0
2 years ago
In a group of 90 students, 65 watch rugby, 71 play a sport and 15 do neither.
Dimas [21]

Answer:

\frac{14}{75} probability of selecting a student who plays a sport but does not watch rugby out of the people who play a sport.

Step-by-step explanation:

"Find the probability that a student chosen at random from those who play a sport  does not watch rugby."

90-15= 75 students either play a sport OR watch rugby

65+71-75=

136-75=

61 people play a sport AND watches rugby

14 people play a sport and DOES NOT watch rugby

\frac{14}{75} is the probability of selecting a student who plays a sport but does not watch rugby out of the people who play a sport.

4 0
2 years ago
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