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charle [14.2K]
2 years ago
12

The infant mortality rate is defined as the number of infant deaths per 1,000 live births. This rate is often used as an indicato

r of the level of health in a country. The relative frequency histogram below shows the distribution of estimated infant death rates for 224 countries for which such data were available in 2014.31
(a) Estimate Q1, the median, and Q3 from the histogram.
(b) Would you expect the mean of this data set to be smaller or larger than the median? Explain your reasoning.
The graph that goes with it is in the picture.

Mathematics
1 answer:
Basile [38]2 years ago
8 0

(a)

Q1, the first quartile, 25th percentile, is greater than or equal to 1/4 of the points.  It's in the first bar so we can estimate Q1=5.   In reality the bar includes values from 0 to 9 or 10  (not clear which) and has around 37% of the points so we might estimate Q1 a bit higher as it's 2/3 of the points, say Q1=7.

The median is bigger than half the points.  First bar is 37%, next is 22%, so its about halfway in the second bar, median=15

Third bar is 11%, so 70% so far.  Four bar is 5%, so we're at the right end of the fourth bar for Q3, the third quartile, 75th percentile, say Q3=40

b

When the data is heavily skewed left like it is here, the median tends to be lower than the mean.  The 5% of the data from 80 to 120 averages around 100 so adds 5 to the mean, and 8% of the data from the 60 to 80 adds another 5.6, 15% of the data from 40 to 60 adds about 7.5, plus the rest, so the mean is gonna be way bigger than the median of around 15.

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The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride a
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Answer:

The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.

Sine function model: where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes.

(Score for Question 1: ___ of 4 points)

1. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel.

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7 0
3 years ago
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Polygon ABCDEFGH will be dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A′B′C′D′E
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3 years ago
Find the amount of interest on $35,000 at 9.72% compounded monthly for 32 months
zhannawk [14.2K]

9514 1404 393

Answer:

  $10,308.92 interest earned

Step-by-step explanation:

The account balance is given by ...

  A = P(1 +r/12)^n

where principal P earns interest at annual rate r compounded monthly for n months. In this case, the balance would be ...

  A = $35,000(1 +0.0972/12)^32 = $45,308.92

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4 0
3 years ago
4|n+8| = 56 <br><br>please help
Alchen [17]
To solve the absolute value equation you first need to get everything not in the absolute value bars to the other side of the equation.

Step 1) Divide by 4
|n+8| = 14

*Remember: when solving absolute value equations, you make what the expression (n+8) is equal to negative and positive. Not the other way around.

Step 2) Make two equations

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3 years ago
Find the midpoint of the line segment with end coordinates of: (−3,−1)and (−4,2) Give coordinates as decimals where appropriate.
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Answer:

ANSWER

M=(−72,12).

Step-by-step explanation:

The midpoint for two points P=(x1,y1) and Q=(x2,y2) is

M=(x1+x22,y1+y22).

We have that x1=−3, y1=−1, x2=−4, y2=2.

So, M=(−3+(−4)2,−1+(2)2)=(−72,12)

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3 years ago
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