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2 years ago

10

Identify the independent and dependent variables in the following hypothesis: "People who exercise regularly are more likely to

have normal or below normal weight." Exercise is the ________ variable and weight is the _________ variable

1 answer:

JulijaS [17]2 years ago

7 0

Answer:

Independent

dependent

Step-by-step explanation:

The scenario illustrates that the weight for people who exercises regularly tends is normal or below normal. It means that the weight of a person depends on how much a person exercises i.e. if person exercises more the weight is reduced and if not then weight will be gained. Thus, exercise is the independent variable while weight is dependent variable.

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During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea

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The answer is 30.
There are 16 cups in a gallon. And 120 minutes in 2 hours. so multiple
16*120 which is 480. Then divide 480/120 and get 30 as your answer

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Ms. berkin is dividing her 4 1/2-foot by 6-foot bulletin board into 4 sections with ribbon stretched from each corner to the opp

Mnenie [13.5K]

Answer:

15 feet.

Step-by-step explanation:

A bulletin board has been shown in the figure below.

Where the width of the board AB = DC = $4\frac{1}{2}$ = 4.5 feet

and the length of the board AD = BC = 6 feet

As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.

In right angle triangle <em>ADC</em>, using Pythagorean Theorem,

$AC^2=AD^2+DC^2$ = $6^2+4.5^2=36+20.25=56.25$

$AC= \sqrt{56.25} = 7.5$ feet

Similarly in triangle <em>BDC</em>,

$BD^2=BC^2+DC^2 = 6^2+4.5^2=36+20.25 =56.25$

$BD=\sqrt{56.25} = 7.5$ feet

Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet

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3 years ago

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

aliya0001 [1]

Answer:

$q = -6p + 104$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$q = mp + b$

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: $m = \frac{-36}{6} = -6$

So

$q = -6p + b$

Finding b:

We replace one of the points. Replacing (4,80).

$q = -6p + b$

$80 = -6*4 + b$

$b = 104$

So

$q = -6p + 104$

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2 years ago

In a golf tournament, Sam played 4 rounds and was within 2 strokes of par for all 4 rounds of the tournament. If par is 72 on th

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Given:

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To find:

The highest and lowest scores Sam could have made in the tournament.

Solution:

We have,

$|x-4(72)|=2$

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It can be written as

$x-288=\pm 2$

Add 288 on both sides.

$x=288\pm 2$

$x=288-2$ and $x=288+2$

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Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.

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