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3 years ago

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Given the following data, find the weight that represents the 73rd percentile. Weights of Newborn Babies 8.2 6.6 5.6 6.4 7.9 7.1

6.5 6.0 7.8 8.0 6.8 8.8 9.3 7.7 8.8

1 answer:

morpeh [17]3 years ago

5 0

Answer:

8

Step-by-step explanation:

Arranging the data into the increasing order

5.6 6.0 6.4 6.5 6.6 6.8 7.1 7.7 7.8 7.9 8.0 8.2 8.8 8.8 9.3

73n/100=73*15/100=10.95 is not an integer

So, the 73rd percentile is

P73= weight of (73n/100)+1

P73= weight of observation (10+1)

P73=weight of 11th observation

P73=8.

The weight that represents the 73rd percentile is 8.

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Danielle is making protein balls. She uses 1 1/2 cups of protein powder, 2 1/4 cups of peanut butter, and 2/3 cup of honey. Whic

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Answer:

4 (5/12). four and five-twelfths

Step-by-step explanation:

1/2 is the same as 2/4, so: 1 1/2 = 1 2/4

1 2/4 + 2 1/4 = 3 3/4

3/4 and 2/3 have a LCM or least common multiple of 12

4 x 3 = 12 and 3 x 4 =12; but whatever you do to the bottom you have to do to the top (3/4) turns into (9/12) and (2/3) turns into (8/12)

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3 years ago

Read 2 more answers

What equation has the solution of x=25

Yuliya22 [10]

Alot of equations
x+1=26
x=3+22
x^2=625
x/2=12.5
4x=100
etc

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3 years ago

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

makkiz [27]

Answer: D = 134

Step-by-step explanation:

The parameters given are

Mean = 68cm

Median = 84cm

Assuming the length of the ropes starting from the shortest to the longest are a, b , c , 84, e, f, g

since the length of the shortest rope = a, the length of the longest rope from the question will be = 14 + 4a . therefore g now becomes 14 + 4a

Mean = (total sum of the rope length / number of ropes)

Therefore the total sum of the rope length = mean x number of ropes

= 84 x 7 = 476.

since we are to find the maximum possible length of the longest piece of rope, it is safe to assume that the ropes b and c are of the same length as the first rope since they would still be less than the length of the median rope which is 84cm in length. It is also safe to assume that ropes e and f are of the same length as the median rope since they would still be less than the length of the longest rope and we would still be having 84cm as the value of the median rope length.

With the assumptions above, the seven ropes would now have the lengths of the ropes as a, a, a, 84, 84, 84,(14 +4a)

summing up the values above we get 476cm which is the total length as calculated above

a + a + a +84 + 84 + 84 + 14 + 4a = 476

7a + 266 = 476

7a = 476 - 266

7a = 224

a = 30

since a = 30, we can substitute it into the equation of the longest rope (4a +14)

longest rope = (4x 30) + 14 = 134cm

8 0

3 years ago

Graph the equations

timurjin [86]

Answer:

We conclude that, at 4 minutes, both will have the same height which is 200 feet.

Step-by-step explanation:

Given the system of equations

$y=400+50x$

$y=300+25x$

Important Tip:

The point of intersection of the two lines would give us the point at which both have the same height.

Graphing the system of equations

<u>The graph of the equation y = 400 + 50x</u>

First, determine the y-intercept of the equation y = 400 + 50x by substituting x = 0

$y = 400 + 50x$

$y = 400 + 50(0)$

$y = 400 + 0$

$y = 400$

Thus, we determine that the ordered pair (0, 400) represents the y-intercept of the equation y = 400 + 50x.

Next, determine the x-intercept of the graph of the equation y = 400 + 50x by substituting y = 0

$y = 400 + 50x$

$0=400+50x$

switch sides

$400+50x=0$

Subtract 400 from both sides

$400+50x-400=0-400$

Simplify

$50x=-400$

Divide both sides by 50

$\frac{50x}{50}=\frac{-400}{50}$

Simplify

$x=-8$

Thus, we determine that the ordered pair (-8, 0) represents the x-intercept of the equation y = 400 + 50x.

Important Tip:

The point at which the graph crosses the y-axis is called the y-intercept.

The point at which the graph crosses the x-axis is called the x-intercept.

The red graph on the diagram represents the equation y = 400 + 50x having the y-intercept (0, 400) and x-intercept (-8, 0)

Please check the attached diagram.

<u>The graph of the equation y = 300 + 25x</u>

Now, determine the y-intercept of the equation y = 300 + 25x by substituting x = 0

$y = 300 + 25x$

$y = 300 + 25(0)$

$y = 300 + 0$

$y = 300$

Thus, we determine that the ordered pair (0, 300) represents the y-intercept of the equation y = 300 + 25x.

Next, determine the x-intercept of the graph of the equation y = 300 + 25x by substituting y = 0

$y=300+25x$

$0 = 300 + 25x$

switch sides

$300+25x=0$

Subtract 300 from both sides

$300+25x-300=0-300$

Simplify

$25x=-300$

Divide both sides by 25

$\frac{25x}{25}=\frac{-300}{25}$

Simplify

$x=-12$

Thus, we determine that the ordered pair (-12, 0) represents the x-intercept of the equation y = 300 + 25x.

The blue graph on the diagram represents the equation y = 300 + 25x having the y-intercept (0, 300) and x-intercept (-12, 0)

Please check the attached diagram.

Analyze the POINT OF INTERSECTION:

As we already know that the point of intersection of the two lines would give us the point at which both have the same height.

The diagram indicates that:

at x = -4, the value of y = 200.

It is the point where both lines meet.

Thus, the point of intersection of the two lines is:

(x, y) = (-4, 200)

Conclusion:

As x represents the time in minutes and y represents the height in feet.

Thus, we conclude that at x = 4 minutes, both will have the same height i.e. y = 200 feet

Therefore, we conclude that, at 4 minutes, both will have the same height which is 200 feet.

7 0

3 years ago