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Artist 52
9 days 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:
tester [3.9K]9 days ago
8 0

(a)

Q1, or the first quartile, is at least 1/4 of the data points. It falls within the first bar, leading to an estimation of Q1=5. However, since this bar contains values ranging from 0 to around 9 or 10 (exactly unclear), and comprises almost 37% of the points, we might estimate Q1 slightly higher, around Q1=7.

The median must exceed half the points. With the first bar at 37% and the next at 22%, it is positioned roughly halfway in the second bar, giving median=15.

The third bar holds 11%, totaling 70% so far. The fourth bar includes 5%, placing us toward the end of the fourth bar for Q3, the third quartile, or 75th percentile, approximately Q3=40.

b

When data is significantly skewed to the left, as seen here, the median is typically lower than the mean. The 5% of data ranging from 80 to 120 averages around 100, contributing 5 to the mean, while 8% from 60 to 80 adds an additional 5.6, and 15% from 40 to 60 adds roughly 7.5. Consequently, the mean will likely be much higher than the median, which is around 15.

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At a small coffee shop, the distribution of the number of seconds it takes for a cashier to process an order is approximately no
Leona [4166]

Answer:

The correct answer is;

A. 0.17

Step-by-step explanation:

Here are the provided details;

The average time taken for a cashier to handle an order, μ = 276 seconds

The deviation from the average, σ = 38 seconds

The z-score for an order processing time of x = 240 seconds can be calculated as follows;

Z=\dfrac{x-\mu }{\sigma }

Thus;

Z=\dfrac{240-276 }{38 } \approx  -0.9474

The resulting probability

P(z = -0.9474) = 0.17361

Hence, the estimated proportion of orders processed in under 240 seconds is roughly 0.17361 or 0.17 when rounded to two decimal places.

8 0
15 days ago
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-co
tester [3916]

Answer:

Crearemos una tabla con estos valores según diferentes valores de x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27        150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Por lo tanto, la función que mejor representa los datos es:

Opción C.

y=26.9x-1.3

Explicación paso a paso:

4 0
9 days ago
SALES Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the num
PIT_PIT [3919]

Given :

Miki possesses 104 nickels and 88 dimes. She intends to sort her coins into sets where each set has an equal count of both nickels and dimes.

Last year, 216,000 cars were sold.

To Find :

An equation that can identify the number of trucks, t, sold the previous year.

Solution :

Let t represent the quantity of trucks sold and c represent the cars sold.

The statement indicates that the quantity of cars sold exceeded three times the trucks sold by 39,000.

Thus,

c=3t+39000\\\\t=\dfrac{c-39000}{3}

Plugging the value of c = 216000 into the equation above yields :

t=\dfrac{c-39000}{3}\\\\t=\dfrac{216000-39000}{3}\\\\t=59000

This gives us the solution we seek.

​

8 0
16 days ago
Lonzell said the function shown in the graph is positive on the interval (−,) and negative on the interval (−,−)open negative 5
Inessa [3907]

Answer:

The segments of the positive graph are located at the coordinates (-5,-4) and (2,5).

In contrast, the negative segment is identified as (-4,2).

Step-by-step explanation:

The positive graph is above the x-axis, while the negative portion lies beneath the y-axis.

Within the interval (-1,5),

The graph appears below the x-axis between (-1,2)

And above it between (2,5).

At this juncture, Lonzell’s assertion is inaccurate.

Within the interval (-5,-1),

The graph again resides below the x-axis in the range (-4,-1)

And above it between (-5,4).

At this point, Lonzell's assessment remains incorrect.

Thus,

The segments of the positive graph are at the coordinates (-5,-4) and (2,5).

Meanwhile, the negative segment is identified at (-4,2).

5 0
7 days ago
Translate to an algebraic expression n−1 increased by 110%
tester [3916]

Answer:

Part 1) The algebraic expression can be represented as 1.10(n-1)  or 1.10n-1.10

Part 2) The algebraic expression is represented as \frac{1.10}{n}

Step-by-step explanation:

Part 1) The expression (n-1) raised by 110%

Recognizing that

110%=110/100=1.10

thus,

The algebraic representation of (n-1) increased by 110% translates to 1.10 multiplied by (n-1).

1.10(n-1)

Expanded

1.10n-1.10

Part 2) The expression n^(-1) raised by 110%

<pGiven that

110%=110/100=1.10

therefore, the representation of n^(-1) increased by 110% becomes 1.10 multiplied by n^(-1).

Remember that

n^{-1}=\frac{1}{n}

thus,

1.10(n^{-1})=1.10\frac{1}{n}=\frac{1.10}{n}

6 0
7 days ago
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