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Ainat [17]
2 years ago
10

A track coach records three sprinters' statistics throughout the season. The median 400-meter race time, in seconds, and the int

erquartile range, IQR, for each athlete are recorded in the table below. Athlete A Athlete B Athlete C Median = 63 IQR = 3 Median = 61 IQR = 2 Median = 59 IQR = 4 Use the information in the table to complete the following statement. Athlete shows the most consistency in her 400-meter race time, because her is the .
Mathematics
1 answer:
FromTheMoon [43]2 years ago
5 0

B Athlete Median = 61 IQR = 2 athlete shows the most consistency in her 400- meter race because her Interquartile range variability is less compare to the others.

Step-by-step explanation:

  • Median is the mid-point of the data.
  • Median takes average of 25%, 50%(Median) and 75% of data.
  • Box plot  is an easier way to understand Mean and Median.
  • Interquartile range helps in finding the variability.
  • Q3(Third quartile) - Q1(First quartile) gives variability.
  • The IQR number is higher it is high variability.
  • Median comes in descriptive statistics, It helps in describing data.
  • Median helps in finding the outliers and skewness of the data.

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fomenos

Answer:

Pr(X>1540.2) = 0.0655

Step-by-step explanation:

Expected value of large bottle,

E(Large) = 1016

Expected value of small bottle,

E(small) = 510

Expected value of total

E(total) = 1016 + 510 = 1526

So the new mean is 1526

Find standard deviation of new amount by variance

Variance of large bottle,

v(large) = 8^2 = 64

Variance of small bottle,

v(small) = 5^2 = 25

Variance of total

v(total) = 64+25 = 89

So the new standard deviation

sd(new) = sqrt(89) = 9.434

Find probability using the new mean and s.d.

Pr(X>1540.2)

Z score, z = (x-mean)/sd

= (1540.2 - 1526)/9.434

= 1.505

value in z score

P(z<1.51) = 0.9345

For probability of x > 1540.2

P(z > 1.51) = 1 - 0.9345 = 0.0655

7 0
2 years ago
Is the right arm or left arm stronger? Twenty five right handed people were studied. They were asked to do as many bicep curls a
melisa1 [442]

Answer:

The p-value should be higher than 0.05

Step-by-step explanation:

solution is found below

5 0
2 years ago
A financial advisor tells you that you can make your child a millionaire if you just start saving early. You decide to put an eq
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Answer:

$12159 per year.

Step-by-step explanation:

If I invest $x each year at the simple interest of 7.5%, then the first $x will grow for 35 years, the second $x will grow for 34 years and so on.

So, the total amount that will grow after 35 years by investing $x at the start of each year at the rate of 7.5% simple interest will be given by

x( 1 + \frac{35 \times 7.5}{100}) + x( 1 + \frac{34 \times 7.5}{100}) + x( 1 + \frac{33 \times 7.5}{100}) + ......... + x( 1 + \frac{1 \times 7.5}{100})

= 35x + \frac{x \times 7.5}{100} [35 + 34 + 33 + ......... + 1]

= 35x + \frac{x \times 7.5}{100} [\frac{1}{2} (35) (35 + 1)]

{Since sum of n natural numbers is given by \frac{1}{2} (n)(n + 1)}

= 35x + 47.25x

= 82.25x

Now, given that the final amount will be i million dollars = $1000000

So, 82.25x = 1000000

⇒ x = $12,158. 05 ≈ $12159

Therefore. I have to invest $12159 per year. (Answer)

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2 years ago
A recipe for uncle Frank's homemade hush puppies call four 1/8 teaspoon of cyan pepper the recipe calls for six times as much as
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I believe the answer is 3 teaspoons
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2 years ago
Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect. In the kite, AC = 10 a
Oduvanchick [21]

Answer:

30 u^{2}

Step-by-step explanation:

The computation of the area of kite ABCD is shown below:

Given data

AC = 10 ;

BD = 6

As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal

Now the area of quadrilateral when the diagonals are given

So, it is

\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}

where,

d_{1}=10\ and\ d_{2}=6

So, the area of the quadrilateral is

=\frac{1}{2}(10)(6)\\\\=30 u^{2}

4 0
2 years ago
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